Extended depth of focus related to depth of field object vergences

Abstract

An apparatus and method directed to depth of field object vergences related to depth of focus ocular devices that can compensate presbyopia, extend the depth of focus and depth of field of lenses, and / or partially compensate astigmatism. Ocular devices include devices placed in contact with an eye of a user and / or over and / or in an eye socket ( e.g., the orbit, the space of the ocular annexes, etc.) of a user. The apparatus can include an ophthalmic lens. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition values in a range of +0.25 diopters to +4.00 diopters.

Description

Atty. Dkt. No.: 134447-5701EXTENDED DEPTH OF FOCUS RELATED TO DEPTH OF FIELD OBJECT VERGENCES CROSS-REFERENCE TO RELATED APPLICATIONS

[0001] The present application claims the benefit of and priority to U. S. Provisional Application No. 63 / 749,465, filed January 24, 2025, the entire disclosure of which is incorporated herein by reference.TECHNICAL FIELD

[0002] The present disclosure relates generally to contact lenses.BACKGROUND

[0003] Contact lenses can correct for a variety of vision disorders such as myopia, hyperopia, astigmatism, and presbyopia. Contact lenses can also be worn by a user for aesthetic purposes and / or recreational purposes.SUMMARY

[0004] At least one aspect of the present disclosure is directed to an apparatus. The apparatus includes an ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus.

[0005] Another aspect of the present disclosure is directed to an apparatus. The apparatus includes an ophthalmic lens. The ophthalmic lens has a depth of focus greater than 2.1 diopters and a relative area greater than 0.27 for a pupil semidiameter in a range of 3 mm and 5 mm.

[0006] Another aspect of the present disclosure is directed to an apparatus. The apparatus includes an ophthalmic lens. The ophthalmic lens has a depth of focus greater than 2.1 diopters (D) and a Visual Strehl ratio (VSOTF) of greater than -3 for a pupil semidiameter in a range of 3 mm and 5 mm.10007] This summary is illustrative only and should not be regarded as limiting.-1- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701BRIEF DESCRIPTION OF THE DRAWINGS

[0008] The disclosure will become more fully understood from the following detailed description, taken in conjunction with the accompanying figures, wherein like reference numerals refer to like elements, in which:

[0009] FIG. 1 illustrates a schematic of a defocus curve clinical trial, according to some embodiments;

[0010] FIG. 2 illustrates a schematic of a difference between the position of two objects producing a difference between the planes of their images, according to some embodiments;

[0011] FIG. 3 illustrates a power profile of sample design #01, according to some embodiments;

[0012] FIG. 4 illustrates a power profile of sample design #02, according to some embodiments;

[0013] FIG. 5 illustrates a power profile of sample design #03, according to some embodiments;

[0014] FIG. 6 illustrates a power profile of sample design #04, according to some embodiments;

[0015] FIG. 7 illustrates a power profile of sample design #05, according to some embodiments;

[0016] FIG. 8 illustrates a power profile of sample design #06, according to some embodiments;

[0017] FIG. 9 illustrates a power profile of sample design #07, according to some embodiments;

[0018] FIG. 10 illustrates a power profile of sample design #08, according to some embodiments;

[0019] FIG. 11 illustrates a power profile of sample design #09, according to some embodiments;-2- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0020] FIG. 12 illustrates a power profile of sample design #10, according to some embodiments;

[0021] FIG. 13 illustrates a power profile of sample design #11, according to some embodiments;

[0022] FIG. 14 illustrates a power profile of sample design #12, according to some embodiments;

[0023] FIG. 15 illustrates a power profile of sample design #13, according to some embodiments;

[0024] FIG. 16 illustrates a power profile of sample design #14, according to some embodiments;

[0025] FIG. 17 illustrates a power profile of sample design #15, according to some embodiments;

[0026] FIG. 18 illustrates a power profile of sample design #16, according to some embodiments;

[0027] FIG. 19 illustrates a power profile of sample design #17, according to some embodiments;

[0028] FIG. 20 illustrates a plot of curves of logarithm of through vergence retinal image quality (log(TVRIQ)), according to some embodiments;

[0029] FIG. 21 illustrates a plot of the quality criteria parameters, according to some embodiments;

[0030] FIG. 22 illustrates a plot of relative area versus objective DOFv in diopters for different commercial and new designs for a pupil diameter of 3 mm on axis;

[0031] FIG. 23 illustrates a plot of relative area versus objective DOFv in diopters for different commercial and new designs for a pupil diameter of 5 mm on axis;-3- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0032] FIG. 24 illustrates a plot of diopter vergence maximum values of VSOTF versus objective DOFv in diopters for different commercial and new designs for a pupil diameter of 3 mm on axis;

[0033] FIG. 25 illustrates a plot of diopter vergence maximum values of VSOTF versus objective DOFv in diopters for different commercial and new designs for a pupil diameter of 5 mm on axis;

[0034] FIG. 26 illustrates plots of the power profile with different pupil zones for different refractive powers of astigmatism, according to some embodiments; and

[0035] FIG. 27 illustrates power profiles of sample designs #02 and #17, according to some embodiments.

[0036] Like reference numbers and designations in the various drawings indicate like elements.DETAILED DESCRIPTION

[0037] Following below are more detailed descriptions of various concepts related to, and implementations of systems and methods for extended depth of focus ocular devices related to depth of field object vergences (EDOFv). The various concepts introduced above and discussed in greater detail below may be implemented in any of a number of ways, as the described concepts are not limited to any particular manner of implementation. Examples of specific implementations and applications are provided primarily for illustrative purposes.I. Depth of field, depth of focus, and presbyopic eye model

[0038] Presbyopia can include the gradual loss of the ability to focus objects at near distances. The anatomical, physiological, and visual modifications during presbyopia can generate changes in the refractive error. Presbyopic patients can have refractive errors (e.g., myopia, hyperopia, astigmatism) and other visual needs. Presbyopic patients may need near vision correction in terms of addition power and / or other specific implementations.

[0039] The systems and methods of the present disclosure are directed to depth of field object vergences related to depth of focus ocular devices that can compensate presbyopia, extend the depth of focus and depth of field of lenses, and / or partially compensate-4- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701astigmatism. Ocular devices include devices placed in contact with an eye of a user and / or over and / or in an eye socket (e.g., the orbit, the space of the ocular annexes, etc.) of a user. For example, ocular devices include contact lenses (e.g., soft contact lenses, hard contact lenses, bifocal contact lenses, piano contact lenses, decorative contact lenses, scleral contact lenses), ocular prosthetics, and other eye or vision devices.

[0040] Extended depth of focus related to depth of field object vergences (EDOFv) lenses can improve the visual quality of a patient along the maximum range of distances so the patient can have a good visual performance of objects placed at far, intermediate, and near distances. EDOFv lenses can create a single elongated focal point to enhance depth of field object vergences related to depth of focus. This technology can be used to create contact lens designs to partially compensate presbyopia and / or astigmatism if different pupil zones are used to produce different powers.

[0041] FIG. 1 illustrates a schematic of a defocus curve clinical trial. Depth of focus is related to the concept of depth of field. Depth of field can refer to the range of distances over which objects appear acceptably sharp in an image. These distances can refer to the distances from the object to the eye. The depth of focus can be related to the displacement of the focal plane to appreciate the lack of image sharpness, and its calculations can be related to the position displacement of the retinal image plane. Regarding the ocular visual system clinical trials, the distances at which the objects in front of the eye are positioned can be altered, but not the position of the retinal plane. A clinical trial to test the performance of EDOFv type lenses is the “defocus curve”. The defocus curve clinical test can include placing negative lenses in front of the eye to simulate objects located at different distances. In this type of trial, the visual acuity of the patient with the lens is measured for each different simulated object distance. In FIG. 1, A visual test can be presented to the patient at different distances to measure her visual acuity. The different distances can be simulated with diverging lenses of different powers (up to -3D for 33 cm). These object vergences represent a change in the image plane (depth of focus).

[0042] Therefore, the descriptions that follow refer to the calculations made with different object distances in front of the eye. The object distances can be expressed in vergences with units of diopters (D). The vergences can be the inverse of the distances in units of meters-5- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701(m). All these vergences can be considered between OD (infinity) and 3D (33 cm) according to the selected object distances and the positive sign criteria chosen.

[0043] The ocular visual system utilized for calculations and incorporated into the simulation can include a non-accommodative presbyopic eye model, encompassing ocular aberrations such as coma, trefoil, and spherical aberration, tailored to simulate an individual with an estimated age and typical refractive error of 55 years old. The selected eye model can have the property of spherical aberration modifications according to the change of this aberration with age. The retinal radius can be set as -11.45 mm.

[0044] Table 1 depicts the Zernike coefficient values up to the 37thcoefficient of the simulated eye model for pupil diameters of 3 mm and 5 mm and for a wavelength of 0.555 nm considering an object located at infinity and on axis. The units of the Zernike coefficients are expressed in waves. In Table 1, p represents the radial distance, 0 < p < 1, and A is the azimuthal angle.For awavelengthof 555 nm(waves) 3 mm pupil 5 mm pupil Corresponding formulasdiameter diameter ZernikeStandardcoefficientsZ =1 1 0.4524587 1.0213917 Z =2 4A(l / 2) (p) * COS (A) -0.0855109 -0.3966955 Z =3 4A(l / 2) (p) * SIN (A) -0.0538185 -0.2496707 Z =4 3A(l / 2) (2pA2 - 1) 0.2455709 0.4878999 Z =5 6A(l / 2) (pA2) * SIN (2A) -0.0000389 -0.0002794 Z =6 6A(l / 2) (pA2) * COS (2A) -0.0000490 -0.0003545 Z =7 8A(l / 2) (3pA3 - 2p) * SIN (A) -0.0190441 -0.0884256 Z =8 8A(l / 2) (3pA3 - 2p) * COS (A) -0.0302587 -0.1404971 Z =9 8A(l / 2) (pA3) * SIN (3 A) -0.0171346 -0.07945244924-2764-9930.1Atty. Dkt. No.: 134447-5701Z =10 8A(l / 2) (pA3) * COS (3A) -0.0224273 -0.1039945 Z =11 5^(1 / 2) (6p^4 - 6p^2 + 1) -0.0118506 -0.0731825 Z =12 10A(l / 2) (4pA4 - 3pA2) * COS (2A) -0.0000123 -0.0000852 Z =13 10A(l / 2) (4pA4 - 3pA2) * SIN (2A) -0.0000097 -0.0000665 Z =14 10A(l / 2) (pA4) * COS (4A) -0.0000056 -0.0000397 Z =15 10A(l / 2) (pA4) * SIN (4A) -0.0000151 -0.0001066 Z =16 12A(l / 2) (10pA5 - 12pA3 + 3p) * COS (A) -0.0000134 -0.0001122 Z =17 12A(l / 2) (10pA5 - 12pA3 + 3p) * SIN (A) -0.0000084 -0.0000706 Z =18 12A(l / 2) (5pA5 - 4pA3) * COS (3 A) -0.0000053 -0.0000449 Z =19 12A(l / 2) (5pA5 - 4pA3) * SIN (3 A) -0.0000041 -0.0000343 Z =20 12A(l / 2) (pA5) * COS (5A) 0 0Z =21 12A(l / 2) (pA5) * SIN (5 A) 0 0Z =22 7A(l / 2) (20pA6 - 30pA4 + 12pA2 - 1) 0.0002326 0.004742514A(l / 2) (15pA6 - 20pA4 + 6pA2) * SINZ =23 0.0000001 0.0000022(2A)14A(l / 2) (15pA6 - 20pA4 + 6pA2) * COSZ =24 0.0000001 0.0000026(2A)Z =25 14A(l / 2) (6pA6 - 5pA4) * SIN (4A) 0.0000001 0.0000026 Z =26 14A(l / 2) (6pA6 - 5pA4) * COS (4A) 0 0.0000009 Z =27 14A(l / 2) (pA6) * SIN (6A) 0 0.0000013 Z =28 14A(l / 2) (pA6) * COS (6A) 0 0.000000316A(l / 2) (35pA7 - 60pA5 + 30pA3 - 4p) *Z =29 0.0000003 0.0000080SIN (A)16A(l / 2) (35pA7 - 60pA5 + 30pA3 - 4p) *Z =30 0.0000004 0.0000127COS (A)16A(l / 2) (21pA7 - 30pA5 + 10pA3) * SINZ =31 0.0000001 0.0000038(3A)4924-2764-9930.1Atty. Dkt. No.: 134447-570116A(l / 2) (21pA7 - 30pA5 + 10pA3) * COSZ =32 0.0000002 0.0000050 (3A)Z =33 16A(l / 2) (7pA7 - 6pA5) * SIN (5A) 0 0Z =34 16A(l / 2) (7pA7 - 6pA5) * COS (5A) 0 0Z =35 16A(l / 2) (pA7) * SIN (7 A) 0 0Z =36 16A(l / 2) (pA7) * COS (7A) 0 09A(l / 2) (70pA8 - 140pA6 + 90pA4 - 20pA2 +Z =37 -0.0000009 -0.00004281)

[0045]

[0046] Table 1. Zernike coefficients of the selected presbyopic eye model for an object on axis and at infinity (0 D object vergence).

[0047] Depth of focus can be related to depth of field measured through object vergences. Depth of field can be related to object vergences, where the objects in front of the eye are moved towards the eye, and the image plane (retina) stays immobile. In this way, moving the object towards the eye can produce a certain refractive error (RE) given by the image vergence. This RE can be calculated by Equation 1, where Z° is the corresponding Zernike coefficient for an object on axis. Taking into account all these coefficients, RE can be highly independent of the pupil size.RE = {-4√3 Z°₂ + 12√5 Z°₄ - 24√7 Z°₆ + 40√9 Z°₈} / r²_p (1)1 048] If, for the optical system described, the object vergence is represented in diopters compared to the RE caused by the object placed in a specific position, a linear relationship between both magnitudes can be obtained. In particular, within the visual system under examination, the difference in object vergences (DOFv) correlates with the variance in evoked RE (DOF), where DOF « 0.98 • DOFVConsequently, the expansion of DOFv can be perceived as an extension of DOF, and vice versa. An example of this process is depicted in FIG. 2.-8- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0049] FIG. 2 illustrates a schematic of a difference between the position of two objects (depth of field) producing a difference between the planes of their images (depth of focus). The caused blur can produce a refractive error (RE) for each object vergence, with a linear relationship between both and independent of the pupil. For the eye model used, the depth of field (DOFv) and the depth of focus (DOF) can be related by Equation 2.DOF « 0.98 • DOFV. (2)II. Optimization of depth of field, depth of focus

[0050] To determine optimized power profiles, extended depth of focus related with depth of field optimization methods can be used. The method can include selecting an initial design power profile, parameterizing a surface, and selecting optimization criteria. These methods can be utilized within specialized software to conduct the optimizations.

[0051] As a starting point, an initial design profile can be used. A material, a posterior surface of a certain radius of constant curvature (to adapt to the cornea), and a variable anterior surface can be chosen. The goal of the initial lens design can be to reproduce an initial power profile of the contact lens to be later optimized.

[0052] Parameterizing the surface can depend on the anterior surface type used to represent the lens. The surface can be aspheric, conic, super conic, defined by Zernike coefficients, or defined by different annular zones, as well as a custom-made user-defined surface. Each surface can be defined by different formulas and with different parameters (e.g., radii, conic constants, aspheric terms). The parameters defining the front surface can be chosen in such a way that the simulator reproduces the power profile of the initial lens design. These same parameters can be adjusted to optimize the design according to the optimization criteria. The parameters can be used as variables during the optimization procedure. The parametrization can be used to introduce the initial lens design power profile to be optimized.10053] The optimization criteria can include developing a contact lens that can extend the depth of focus related with the depth of field in object vergences and / or partially compensate astigmatism. The merit function of the system can be set according to these criteria. The optimization can be performed by using algorithms to change the parameters -9- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701used to define the anterior surface of the contact lens and to search for the best contact lens according to the criteria selected, which can include the extension of depth of focus related with the depth of field in object vergences and / or partial astigmatism compensation.Optimization can be carried out with consideration to the visual quality at the retina of an eye along several object distances, taking the image spot size into account. The contact lens can be placed on the anterior corneal surface of a presbyopic eye model described above. The optimized profiles obtained can be relatively close to the initial simulated profiles, based on the software's capabilities and its internal algorithmic calculations.

[0054] FIGS. 3-19 illustrate designs of lenses (e.g., contact lens, ophthalmic lenses), with a spherical nominal power of OD and an addition value of +2.50D. The designs of the lenses can be optimized for extended depth of focus purposes related with the depth of field in object vergences or partial astigmatism compensation. The designs of the lenses can be optimized to enhance the visual performance from far to near distances. The different initial lens designs simulated can be in a specialized software to conduct optimization procedures. For the obtention of the new optimized power profiles, five different initial designs groups were established. In Table 2, the Initial design #1 to Initial design #5 are defined in the left column, while their respective sample designs obtained from those initial designs when using different optimization routines are depicted in the right column.Initial Designs Sample New DesignsInitial design #1 Sample design #01Sample design #02Initial design #2 Sample design #03Sample design #04Sample design #05Sample design #06Sample design #07Sample design #08Initial design #3 Sample design #09Sample design #10Sample design #11Sample design #12-10- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701Sample design #13Initial design #4 Sample design #14Sample design #15Initial design #5 Sample design #16Initial design #1 Sample design #17[0055| Table 2. Obtention of sample new designs from their respective initial design.[00561 The visual Strehl ratio (VSOTF) can include a metric which represents the visual quality. VSOTF can be computed by calculating the volume under the real part of the optical transfer function (OTF), weighing each frequency value by the Neural Contrast Sensitivity Function (CSFN), and calculating the ratio respect to the maximum OTF achieved by the system (diffraction limited OTF (OTFDL)). The visual effect that the contact lens causes can be characterized and / or represented by the VSOTF. The VSOTF can be calculated by combining the calculation of OTF and the calculation of CSFN. The VSOTF can incorporate simulations of neural behavior. The VSOTF can be given by Equation 3. The maximum spatial frequency used in the calculations can be 30 cycles / degree.VSOTF =J-“ CSFN(fx, fy) ■ Re[OTF(fx, / „)] dfxdfy(3)S i cSFNfx,fy) ■ Re[OTFDt(, / j,)] dfxdfy

[0057] The contrast sensitivity function used to represent the results can be given by Equation 4.CSF = 2.6(0.0192 + 0.114 / ) •e-(°114f)Aii (4)[0058 [ From Equation 3, the TVRIQ (Through Vergence Retinal Image Quality) function as log (VSOFT) is defined. This function can be used to calculate the visual quality criteria.[0059 [ FIG. 3 illustrates a power profile of sample design #01 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). An apparatus can include an ophthalmic lens (e.g., lens, contact lens). The ophthalmic lens can provide a DOFv related to depth of focus with-11- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701the sample design power profile #01 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate astigmatism. The ophthalmic lens can compensate astigmatism without a cylinder correction or an axis correction. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.(0060] The DOFv can be greater than 1.50 D (diopters) and the relative area can be greater than 0.4398 for a pupil diameter (e.g., pupil size) of 3 mm. The DOFv can be greater than 1.00 D and the relative area can be greater than 0.0655 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.66, -0.71, -0.84, -1.42, -2.16, -2.56, -2.88] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.37, -1.39, -1.46, -2.17 -3.11, -3.55, -3.92] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).[00611 The DOFv can be greater than 2.20 D and the relative area can be greater than 0.4182 for a pupil diameter of 3 mm. The DOFv can be greater than 0.30 D and the relative area can be greater than 0.0107 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.09, -0.58, -1.34, -1.97, -2.28, -2.51, -2.82, -3.15, -4] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.06, -1.48, -2.13, -2.20, -1.85, -2.92, -3.15, -3.44, -3.65] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).[00621 The power profile for an addition value between +0.25 diopters and +4 diopters can be defined by Equation 5, Equation 6, and Equation 7. The power profile of +0.25D addition value can be defined by Equation 8, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, r is 1.925 mm, and oris -12- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation 9, where profile0,2SD#01isapolynomial function corresponding to the +0.25 diopter addition value power profile.pro / iZead#oi= m#01(ad) • profile0,25D#01+ b#Oi(ad) (5)m#01(ad) = 4.105 • ad + 0.009102 (6)b#01(ad) = 0.09347 • ad + (-0.01882) (7)n=12 profile0,25D#oi= ^ pk- zn; z = (r - f) / ork = 02prof ile025D#O1= 0.2363 - 0.0413z - 0.6667z2+ 0.1342z3+ 1.0104z4(9) + 0.3006Z5- 0.5792Z6- 0.4465z7+ 0.0650z8+ 0.1879z9+ 0.0401Z10- 0.0254Z11- 0.0091Z12[0063| The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 5. The mean square error between the profiles (e.g., defined as <(P — profilead#0i)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.10064] FIG. 4 illustrates a power profile of sample design #02 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #02 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate astigmatism. The ophthalmic lens can compensate astigmatism without a cylinder correction or an axis correction. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate-13- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0065] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 10, Equation 11, and Equation 12. The power profile of +0.25D addition value can be defined by Equation 13, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, f is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation 14, where profile025D#o2isapolynomial function corresponding to the +0.25 diopter addition value power profile.profilead#Q2= m^02(ad) ■ profile025D#Q2+ b^ad) (10)m#02(ad) = 3.749 ■ ad + 0.08159 (11)b#02(ad) = 0.05074 • ad + (-0.0403) (12)n=12 profile025D#Q2= 2, Pk • zn>’ z = (r - f) / ark=0 'profile025D#02= -0.0147 + 0.0342z + 0.6879z2- 0.1252z3- 1.0941z4- 0.3339z5(14)+ 0.6709Z6+ 0.4752Z7- 0.1092z8- 0.1976z9- O. O3OOz10+ 0.0265Z11+ 0.0082Z12

[0066] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 10. The mean square error between the profiles (e.g., defined as <(P — profilead#Q2)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.[0067[ The DOFv can be greater than 1.60 D and the relative area can be greater than 0.5393 for a pupil diameter of 3 mm. The DOFv can be greater than 1.10 D and the relative area can be greater than 0.2080 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.94, -0.55, -0.49, -1.17, -2.12, -2.58, -2.92] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, -14- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.50D, 2.00D, 2.50D, 3.00D] can be [-1.06, -1.14, -1.36, -2.13 -3.06, -3.56, -3.94] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0068] The DOFv can be greater than 2.40 D and the relative area can be greater than 0.3697 for a pupil diameter of 3 mm. The DOFv can be greater than 0.01 D and the relative area can be greater than 0.01 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.54, -2.31, -1.94, -1.38, -0.60, -1.14, -2.33, -3.09, -3.64] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.33, -2.15, -2.48, -2.19, -1.50, -2.12, -3.35, -3.92, -3.92] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).J 0069] FIG. 5 illustrates a power profile of sample design #03 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #03 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0070] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 15, Equation 16, and Equation 17. The power profile of +0.25D addition value can be defined by Table 3, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns titled ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.profilead#Q3= m^03(ad) ■ profile025D#o3+ b#03(ad) (15)-15- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701m#03(ad) = 2.799 • ad + 0.1846b#03(ad) = 0.02304 • ad + (—0.002987)Table 3.X (mm) Power X Powerprofile (D) (mm) profile (D)0 0.251 2.04 -0.0030.06 0.246 2.1 0.0030.12 0.232 2.16 0.0090.18 0.212 2.22 0.0150.24 0.187 2.28 0.0200.3 0.165 2.34 0.0220.36 0.152 2.4 0.0200.42 0.150 2.46 0.0160.48 0.156 2.52 0.0110.54 0.165 2.58 0.0080.6 0.170 2.64 0.0120.66 0.164 2.7 0.0260.72 0.142 2.76 0.0520.78 0.105 2.82 0.0870.84 0.063 2.88 0.1190.9 0.029 2.94 0.1440.96 0.008 3 0.1591.02 -0.001 3.06 0.1611.08 0.000 3.12 0.1481.14 0.013 3.18 0.1171.2 0.035 3.24 0.0741.26 0.061 3.3 0.0341.32 0.080 3.36 0.0071.38 0.091 3.42 -0.0081.44 0.090 3.48 -0.013-16- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.5 0.079 3.54 -0.0131.56 0.059 3.6 -0.0101.62 0.034 3.66 -0.0071.68 0.013 3.72 -0.0041.74 -0.001 3.78 -0.0031.8 -0.008 3.84 -0.0021.86 -0.010 3.9 -0.0011.92 -0.010 3.96 0.0001.98 -0.007[00711 Table 3. Optic zone semidiameter (mm) and power profile (D).

[0072] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 15. The mean square error between the profiles (e.g., defined as <(P — p ofilead#03)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0073] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.431 for a pupil diameter of 3 mm. The DOFv can be greater than 0.80 D and the relative area can be greater than 0.1776 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.76, -0.77, -0.79, -1.40, -2.24, -2.65, -2.96] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.07, -1.27, -1.65, -2.39 -3.16, -3.57, -3.89] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).10074] The DOFv can be greater than 3.20 D and the relative area can be greater than 0.2687 for a pupil diameter of 3 mm. The DOFv can be greater than 0.01 D and the relative area can be greater than 0.01 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.02, -0.97, -1.15, -1.02, -1.78, -2.61, -3.06, -3.58, -3.67] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.13, -1.51, - -17- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.85, -2.01, -2.79, -3.50, -3.89, -4.39, -4.13] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0075] FIG. 6 illustrates a power profile of sample design #04 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #04 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.[0076| The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 18, Equation 19, and Equation 20. The power profile of +0.25D addition value can be defined by Table 4, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns titled ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.pro / iZead#04= m#04(ad) • profile0,25D#04+ b#04(ad) (18)m#04(ad) = 3.571 • ad + 0.6224 (19)b#04(ad) = 0.007766 • ad + (-0.002685) (20)Table 4.X (mm) Power profile X (mm) Power profile(D) (D)0 0.284 2.04 0.0360.06 0.277 2.1 0.0320.12 0.259 2.16 0.029-18- 4924-2764-9930.1Atty. Dkt. No.: 134447-57010.18 0.236 2.22 0.030 0.24 0.215 2.28 0.044 0.3 0.194 2.34 0.072 0.36 0.174 2.4 0.112 0.42 0.154 2.46 0.147 0.48 0.132 2.52 0.156 0.54 0.108 2.58 0.142 0.6 0.087 2.64 0.118 0.66 0.082 2.7 0.100 0.72 0.105 2.76 0.100 0.78 0.150 2.82 0.120 0.84 0.196 2.88 0.147 0.9 0.219 2.94 0.172 0.96 0.212 3 0.188 1.02 0.178 3.06 0.191 1.08 0.129 3.12 0.177 1.14 0.083 3.18 0.141 1.2 0.062 3.24 0.091 1.26 0.070 3.3 0.044 1.32 0.084 3.36 0.013 1.38 0.091 3.42 -0.002 1.44 0.087 3.48 -0.007 1.5 0.072 3.54 -0.006 1.56 0.051 3.6 -0.002 1.62 0.029 3.66 0.003 1.68 0.014 3.72 0.006 1.74 0.008 3.78 0.007 1.8 0.010 3.84 0.006 1.86 0.018 3.9 0.004 1.92 0.028 3.96 0.002 1.98 0.035-19- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0077] Table 4. Optic zone semidiameter (mm) and power profile (D).[0078[ The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 18. The mean square error between the profiles (e.g., defined as <(P — profilead)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.|0079] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.4617 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.1826 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.85, -0.72, -0.70, -1.34, -2.24, -2.68, -3.02] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.07, -1.22, -1.58, -2.36 -3.22, -3.68, -4.03] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).[0080[ The DOFv can be greater than 2.60 D and the relative area can be greater than 0.3379 for a pupil diameter of 3 mm. The DOFv can be greater than 0.80 D and the relative area can be greater than 0.0373 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.30, -1.40, -0.73, -1.03, -1.87, -2.46, -2.87, -3.17, -3.49] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.32, -1.42, -1.57, -1.93, -2.79, -3.39, -3.86, -3.86, -4.16] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0081] FIG. 7 illustrates a power profile of sample design #05 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #05 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia.-20- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.[00821 The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 21, Equation 22, and Equation 23. The power profile of +0.25D addition value can be defined by Table 5, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns tilted ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.profilead#05= m#05(ad') ■ profile025D#os+ b#05(ad) (21)m#05(ad) = 3.84 • ad + 0.1077 (22)b#05(ad) = 0.02153 • ad + (—0.004928 )Table 5.X Power profile X Power profile(mm) (D) (mm) (D)0 0.253 3.4375 -0.0010.0625 0.250 3.5 0.0030.125 0.240 3.5625 0.0070.1875 0.224 3.625 0.0110.25 0.201 3.6875 0.0120.3125 0.172 3.75 0.0130.375 0.136 3.8125 0.0150.4375 0.172 3.875 0.0160.5 0.164 3.9375 0.0180.5625 0.154 4 0.0200.625 0.1440.6875 0.1320.75 0.1190.8125 0.036-21- 4924-2764-9930.1Atty. Dkt. No.: 134447-57010.875 0.0280.9375 0.0191 0.0091.0625 -0.0021.125 -0.0141.1875 -0.0261.25 0.0671.3125 0.0791.375 0.0921.4375 0.1061.5 0.1211.5625 0.1361.625 0.0671.6875 0.0521.75 0.0371.8125 0.0211.875 0.0051.9375 -0.0122 0.0252.0625 0.0252.125 0.0252.1875 0.0252.25 0.0242.3125 0.0242.375 0.0242.4375 0.0232.5 0.0242.5625 0.0252.625 0.0262.6875 0.0282.75 0.0292.8125 0.127-22- 4924-2764-9930.1Atty. Dkt. No.: 134447-57012.875 0.1062.9375 0.0843 0.0613.0625 0.0373.125 0.0133.1875 -0.0123.25 -0.0103.3125 -0.0073.375 -0.004[00831 Table 5. Optic zone semidiameter (mm) and power profile (D).

[0084] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 21. The mean square error between the profiles (e.g., defined as <(P — p ofilead#0S)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0085] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.4375 for a pupil diameter of 3 mm. The DOFv can be greater than 0.70 D and the relative area can be greater than 0.2107 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.72, -0.74, -0.80, -1.42, -2.23, -2.63, -2.94] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.02, -1.26, -1.68, -2.44 -3.22, -3.65, -4] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0086] The DOFv can be greater than 3.10 D and the relative area can be greater than 0.2775 for a pupil diameter of 3 mm. The DOFv can be greater than 0.80 D and the relative area can be greater than 0.04 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.88, -1.07, -0.93, -1.13, -1.99, -2.72, -3.10, -3.65, -3.65] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.06, -1.58, - -23- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.41, -2.09, -2.93, -3.55, -3.72, -4.24, -3.96] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0087] FIG. 8 illustrates a power profile of sample design #06 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #06 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.[0088| The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 24, Equation 25, and Equation 26. The power profile of +0.25D addition value can be defined by Table 6, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns titled ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.profilead#06= m#06(ad) ■ profile025D#o6+ b#06(ad) (24) m#06(ad) = 4.065 • ad + (-0.001722) (25) b#06(ad) = 0.01616 • ad + (-0.005375) (26)Table 6.X Power profile X Power profile(mm) (D) (mm) (D)0 0.237 2.75 0.0570.05 0.235 2.8 0.0750.1 0.228 2.85 0.086-24- 4924-2764-9930.1Atty. Dkt. No.: 134447-57010.15 0.215 2.9 0.079 0.2 0.199 2.95 0.074 0.25 0.191 3 0.058 0.3 0.183 3.05 0.040 0.35 0.168 3.1 0.026 0.4 0.161 3.15 0.006 0.45 0.159 3.2 -0.011 0.5 0.154 3.25 -0.010 0.55 0.148 3.3 -0.010 0.6 0.140 3.35 -0.009 0.65 0.124 3.4 -0.009 0.7 0.108 3.45 -0.006 0.75 0.084 3.5 -0.004 0.8 0.062 3.55 -0.001 0.85 0.038 3.6 0.001 0.9 0.020 3.65 0.006 0.95 0.006 3.7 0.007 1 -0.012 3.75 0.009 1.05 -0.005 3.8 0.011 1.1 0.003 3.85 0.012 1.15 0.012 3.9 0.012 1.2 0.030 3.95 0.014 1.25 0.056 4 0.014 1.3 0.0731.35 0.0901.4 0.1051.45 0.1051.5 0.0971.55 0.0901.6 0.0781.65 0.0611.7 0.047-25- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.75 0.0321.8 0.0171.85 0.0091.9 0.0091.95 0.0062 0.0092.05 0.0122.1 0.0152.15 0.0172.2 0.0202.25 0.0192.3 0.0192.35 0.0182.4 0.0172.45 0.0172.5 0.0192.55 0.0212.6 0.0262.65 0.0332.7 0.04610089] Table 6. Optic zone semidiameter (mm) and power profile (D).

[0090] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 24. The mean square error between the profiles (e.g., defined as <(P — profilead 6) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.|0091] The DOFv can be greater than 1.30 D and the relative area can be greater than 0.6812 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5731 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D,-26- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701l. OOD, 1.5OD, 2.00D, 2.50D, 3. OOD] can be [-0.51, -0.03, -0.81, -1.67, -2.23, -2.63, -2.94] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, l. OOD, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.77, -0.37, -1.69, -2.63 -3.25, -3.68, -4.02] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0092] The DOFv can be greater than 3.10 D and the relative area can be greater than 0.2591 for a pupil diameter of 3 mm. The DOFv can be greater than 0.01 D and the relative area can be greater than 0.01 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, l. OOD, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.93, -0.99, -1.04, -1.19, -1.83, -2.60, -3.06, -3.56, -3.67] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, l. OOD, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.09, -1.50, -1.54, -2.19, -2.83, -3.46, -3.76, -4.39, -4.06] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0093] FIG. 9 illustrates a power profile of sample design #07 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #07 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0094] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 27, Equation 28, and Equation 29. The power profile of +0.25D addition value can be defined by Table 7, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns titled ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.-27- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701profilead#07= m#07(ad) ■ profile025D#o7+ b#07(ad) (27)m#07(ad) = 4.308 • ad + 0.2357 (28)h#07(ad) = 0.002617 • ad + 0.001574 (29)Table 7.X Power profile X Power profile(mm) (D) (mm) (D)0 0.234 3.4375 0.0030.0625 0.234 3.5 0.0230.125 0.232 3.5625 0.0460.1875 0.222 3.625 0.0460.25 0.219 3.6875 0.0460.3125 0.205 3.75 0.0460.375 0.226 3.8125 0.0460.4375 0.217 3.875 0.0460.5 0.192 3.9375 0.0460.5625 0.134 4 0.0460.625 0.0830.6875 0.0300.75 0.0410.8125 0.1090.875 0.1020.9375 0.0921 0.0811.0625 0.0681.125 0.0571.1875 0.0841.25 0.1011.3125 0.0831.375 0.043-28- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.4375 0.0161.5 -0.013 1.5625 0.0013 1.625 -0.002 1.6875 0.0001.75 -0.001 1.8125 -0.001 1.875 -0.001 1.9375 0.0002 -0.002 2.0625 0.000 2.125 -0.001 2.1875 0.0022.25 -0.003 2.3125 -0.003 2.375 0.006 2.4375 0.0002.5 0.002 2.5625 -0.016 2.625 -0.006 2.6875 0.0362.75 0.099 2.8125 0.074 2.875 0.057 2.9375 0.0323 -0.001 3.0625 -0.000 3.125 -0.007 3.1875 -0.0243.25 -0.004 3.3125 -0.003 3.375 0.007-29- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701|0095] Table 7. Optic zone semidiameter (mm) and power profile (D).

[0096] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 27. The mean square error between the profiles (e.g., defined as <(P — profilead>) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0097] The DOFv can be greater than 1.30 D and the relative area can be greater than 0.6854 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5691 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.56, -0.02, -0.76, -1.66, -2.22, -2.63, -2.98] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.72, -0.43, -1.66, -2.63 -3.24, -3.69, -4.04] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0098] The DOFv can be greater than 2.20 D and the relative area can be greater than 0.3369 for a pupil diameter of 3 mm. The DOFv can be greater than 0.30 D and the relative area can be greater than 0.0263 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.89, -1.21, -0.63, -1.60, -1.73, -2.24, -2.93, -3.42, -3.72] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.57, -1.92, -1.44, -2.58, -2.75, -3.30, -3.95, -4.13, -4.48] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0099] FIG. 10 illustrates a power profile of sample design #08 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #08 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field -30- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0100] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 30, Equation 31, and Equation 32. The power profile of +0.25D addition value can be defined by Table 8, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns titled ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.profilead#08= m#0B(ad') ■ profile025D#O8+ b#08(ad) (30) m#08(ad) = 4.195 • ad + (-1.31) (31) b#08(ad) = 0.002165 • ad + 0.002176 (32)Table 8.X Power X Power(mm) profile (mm) profile(D) (D)0 0.246 2.75 0.0300.05 0.246 2.8 0.0430.1 0.245 2.85 0.0540.15 0.242 2.9 0.0540.2 0.242 2.95 0.0530.25 0.237 3 0.0460.3 0.232 3.05 0.0370.35 0.226 3.1 0.0260.4 0.215 3.15 0.0160.45 0.199 3.2 0.0040.5 0.182 3.25 -0.0010.55 0.163 3.3 -0.003-31- 4924-2764-9930.1Atty. Dkt. No.: 134447-57010.6 0.135 3.35 -0.005 0.65 0.115 3.4 -0.005 0.7 0.101 3.45 -0.001 0.75 0.089 3.5 0.003 0.8 0.083 3.55 0.008 0.85 0.085 3.6 0.018 0.9 0.087 3.65 0.023 0.95 0.088 3.7 0.029 1 0.088 3.75 0.035 1.05 0.088 3.8 0.041 1.1 0.088 3.85 0.045 1.15 0.088 3.9 0.046 1.2 0.088 3.95 0.050 1.25 0.086 4 0.052 1.3 0.0781.35 0.0721.4 0.0631.45 0.0451.5 0.0301.55 0.0181.6 0.0061.65 0.0011.7 -0.0011.75 -0.0031.8 -0.0041.85 -0.0031.9 -0.0021.95 -0.0012 -0.0012.05 -0.0012.1 -0.0012.15 -0.001-32- 4924-2764-9930.1Atty. Dkt. No.: 134447-57012.2 -0.0012.25 -0.0012.3 -0.0022.35 -0.0022.4 -0.0042.45 -0.0042.5 -0.0032.55 -0.0012.6 0.0032.65 0.0072.7 0.019

[0101] Table 8. Optic zone semidiameter (mm) and power profile (D).

[0102] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 30. The mean square error between the profiles (e.g., defined as <(P — p ofilead#08)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0103] The DOFv can be greater than 1.40 D and the relative area can be greater than 0.6443 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5716 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.58, -0.02, -0.74, -1.64, -2.21, -2.63, -2.98] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.74, -0.41, -1.63, -2.62 -3.23, -3.69, -4.06] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0104] The DOFv can be greater than 2.80 D and the relative area can be greater than 0.3242 for a pupil diameter of 3 mm. The DOFv can be greater than 0.40 D and the relative area can be greater than 0.0502 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.81, -1.25, -0.56, - -33- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.29, -1.76, -2.25, -2.91, -3.50, -3.88] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.73, -1.87, -1.40, -2.27, -2.79, -3.32, -3.99, -4.30, -4.58] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0105] FIG. 11 illustrates a power profile of sample design #09 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #09 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0106] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 33, Equation 34, and Equation 35. The power profile of +0.25D addition value can be defined by Equation 36, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, r is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation 37, where profile025D#Q9is a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#09= m^09(ad) ■ profile025D#m+ b^ad) (33)m#09(ad) = 4.031 • ad + (—0.1317) (34)b#09(ad) = 0.004945 • ad + (-0.01499) (35)n=13 profile025D#og= pk• zn,' z = (r - r) / crr(36)fc=0-34- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701profile0_25D#09= 0.0285 - 0.5207Z + 0.1800Z2+ 2.1946z3+ 0.3372z4- 2.4971Z5- 1.1612z6(37)+ 1.0082Z7+ 0.8860Z8- 0.0330z9- O.2586z10- 0.0629Z11+ 0.0259z12+ 0.0098Z13

[0107] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 33. The mean square error between the profiles (e.g., defined as<(P — profilead#09) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.|0108] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.4368 for a pupil diameter of 3 mm. The DOFv can be greater than 0.80 D and the relative area can be greater than 0.194 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.62, -0.70, -0.87, -1.44, -2.14, -2.54, -2.86] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.06, -1.24, -1.61, -2.34 -3.15, -3.59, -3.96] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0109] The DOFv can be greater than 0.80 D and the relative area can be greater than 0.2083 for a pupil diameter of 3 mm. The DOFv can be greater than 0.01 D and the relative area can be greater than 0.01 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-0.81, -1.56, -1.67, -2.39, -2.64, -2.70, -2.83, -3.14, -3.92] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.49, -2.08, - 2.12, -2.53, -3.20, -3.33, -3.27, -3.57, -3.82] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0110] FIG. 12 illustrates a power profile of sample design #10 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #10 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25-35- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.[011.1] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 38, Equation 39, and Equation 40. The power profile of +0.25D addition value can be defined by Equation 41, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, f is 1.925 mm and oris 1.1374 mm. he power profile for an addition value of +0.25D can be defined by Equation 42, where profile025D#wis a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#io= m#10ad)' ■ profile025D#10+ b#10(ad) (38)m#10(ad) = 4.109 • ad + (-0.07902) (39)b#10(ad) = 0.05713 • ad + (-0.02907) (40)n=12 profile0,25D#10= pk■ zn; z = (r - r) / ark=02profile025D#10= 0.0695 - 0.1973Z - 0.0702z2+ 0.9913z3+ 0.3523z4- 1.0583z5(42)- 0.4669Z6+ 0.5100Z7+ 0.2761Z8- 0.1175z9- O. O757z10+ 0.0105Z11+ 0.0078Z1210112] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 38. The mean square error between the profiles (e.g., defined as <(P — profilead>) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.[0 131 The DOFv can be greater than 1.40 D and the relative area can be greater than 0.4526 for a pupil diameter of 3 mm. The DOFv can be greater than 0.70 D and the relative -36- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701area can be greater than 0.1834 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.59, -0.69, -0.91, -1.51, -2.21, -2.60, -2.91] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.06, -1.30, -1.72, -2.48 -3.27, -3.68, -4.01] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).10114] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.3818 for a pupil diameter of 3 mm. The DOFv can be greater than 2.10 D and the relative area can be greater than 0.0826 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-0.52, -1.06, -1.78, -2.16, -2.44, -2.74, -3.14, -3.78, -3.96] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.44, -1.35, -1.39, -2.71, -2.71, -3.11, -3.55, -4.25, -4.17] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0115] FIG. 13 illustrates a power profile of sample design #11 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #11 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.10116] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 43, Equation 44, and Equation 45. The power profile of +0.25D addition value can be defined by Equation 46, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, r is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation -37- 4924-2764-9930.1Atty. Dkt. No.: 134447-570147, where profile0.2SD#11is a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#ii= m#11(ad') ■ profile025D#ii+ b#11(ad) (43)m#n(ad) = 4.036 • ad + (—0.02064) (44)b#11(ad) = 0.008149 • ad + (-0.009516) (45)n=13 profile025D#ii= pk• zn; z = (r - r) / ar(46)fc=0prof ile0 25D#11= 0.0022 - 0.1774z + 0.4132Z2+ 0.8471Z3- 0.2796z4- 1.0432z5- 0.3261Z6(47)+ 0.4195z7+ 0.3589Z8+ 0.0051Z9- O.lO75z10- 0.0323Z11+ 0.0098z12+ 0.0044Z13

[0117] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 43. The mean square error between the profiles (e.g., defined as <(P — profilead#ii)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0118] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.4462 for a pupil diameter of 3 mm. The DOFv can be greater than 0.80 D and the relative area can be greater than 0.2068 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.74, -0.75, -0.77, -1.36, -2.17, -2.59, -2.92] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-1.02, -1.23, -1.62, -2.39 -3.21, -3.66, -4.02] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0119] The DOFv can be greater than 2.80 D and the relative area can be greater than 0.3986 for a pupil diameter of 3 mm. The DOFv can be greater than 1.80 D and the relative area can be greater than 0.1318 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, -38- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701l. OOD, 2.00D, 3. OOD, 4.00D, 5. OOD, 6.00D, 7.00D, 8. OOD] can be [-1.60, -0.72, -0.72, -1.53, -2.18, -2.85, -3.38, -3.84, -4.48] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, l. OOD, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.94, -1.27, -1.28, -2.30, -3.03, -3.96, -4.03, -4.38, -4.55] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0120] FIG. 14 illustrates a power profile of sample design #12 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #12 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.|012l] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 48, Equation 49, and Equation 50. The power profile of +0.25D addition value can be defined by Equation 51, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, r is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation 52, where profile025D#i2is a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#i2= m#12(ad) ■ profile025D#i2+ b#12(ad) (48) m#12(ad) = 4.037 • ad + (—0.0334) (49) b#12(ad) = 0.01581 • ad + (-0.004459) (50) n=12 profile025D#i2= pk• zn; z = (r - r) / crrfc=0 (51)-39- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701profile0 25D#12= 0.1160 - 0.2159Z - 0.2287z2+ 0.7818z3+ 0.7228z4- 0.4559z5- 0.6851Z6(52) - 0.0840Z7+ 0.2143Z8+ 0.1150z9- O. OO46z10- 0.0206Z11- 0.0049z12

[0122] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 48. The mean square error between the profiles (e.g., defined as <(P — profilead>) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.[01231 The DOFv can be greater than 1.40 D and the relative area can be greater than 0.6402 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5854 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.48, -0.04, -0.81, -1.61, -2.16, -2.56, -2.89] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.91, -0.29, -1.59, -2.59 -3.22, -3.66, -4] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).|0124] The DOFv can be greater than 2.30 D and the relative area can be greater than 0.4089 for a pupil diameter of 3 mm. The DOFv can be greater than 1.20 D and the relative area can be greater than 0.0891 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.10, -0.61, -1.24, -1.86, -2.18, -2.51, -2.89, -3.34, -4.46] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.07, -1.30, -1.58, -2.31, -2.52, -2.84, -3.27, -3.92, -4.21] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0125] FIG. 15 illustrates a power profile of sample design #13 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #13 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25-40- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus, ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0126] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 53, Equation 54, and Equation 55. The power profile of +0.25D addition value can be defined by Equation 56, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, f is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation 57, where profile0,25D#13isapolynomial function corresponding to the +0.25 diopter addition value power profile.profilead#13= m#13(ad) · profile025D#13+ b#13(ad) (53)m#13(ad) = 3.957 • ad + (-0.05316) (54)b#13(ad) = 0.012 • ad + (-0.01299) (55)n=12 profile025D#i3= pk• zn,' z = (r - r) / arfc=o 'profile0 25D#13= -0.0011 - 0.3233z + 0.3882z2+ 1.4343z3- 0.1944z4- 1.7895z5(57)- 0.4232Z6+ 0.9396Z7+ 0.4190z8- 0.2136z9- 0.1291z10+ 0.0169Z11+ 0.0131Z12

[0127] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 53. The mean square error between the profiles (e.g., defined as <(P — profilead#13) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0128] The DOFv can be greater than 1.40 D and the relative area can be greater than 0.6402 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative -41- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701area can be greater than 0.5813 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.49, -0.04, -0.81, -1.61, -2.16, -2.57, -2.89] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.76, -0.37, -1.63, -2.57 -3.21, -3.66, -4.02] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0129] The DOFv can be greater than 2.50 D and the relative area can be greater than 0.3588 for a pupil diameter of 3 mm. The DOFv can be greater than 2.20 D and the relative area can be greater than 0.069 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.04, -0.74, -1.16, -1.81, -2.13, -2.48, -2.96, -3.46, -4.57] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.45, -1.39, -1.36, -2.37, -2.74, -3.18, -3.71, -4.20, -4.57] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0130] FIG. 16 illustrates a power profile of sample design #14 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #14 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0131] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 58, Equation 59, and Equation 60. The power profile of +0.25D addition value can be defined by Equation 61, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, r is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation -42- 4924-2764-9930.1Atty. Dkt. No.: 134447-570162, where profile025D#i4is a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#14= m#14(ad) • profile025D#14+ b#14(ad) (58)m#14(ad) = 3.792 • ad + (0.05154) (59)b#14(ad) = 0.1054 • ad + (-0.04981) (60)n=12 profile025D#i4= pk• zn; z = (r - r) / ar(61) fc=0prof 25D#14= 0.0232 - 0.1017z + 0.0640z2+ 0.2898Z3- 0.0801Z4- 0.5141Z5- 0.0524z6(62) + 0.3593Z7+ 0.1088Z8- 0.1099z9- 0.0470z10+ 0.0123Z11+ 0.0063z12

[0132] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 58. The mean square error between the profiles (e.g., defined as <(P — profilead>) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0133] The DOFv can be greater than 1.40 D and the relative area can be greater than 0.6429 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5847 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.56, -0.04, -0.74, -1.63, -2.20, -2.61, -2.95] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.76, -0.37, -1.61, -2.60 -3.24, -3.69, -4.04] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0134] The DOFv can be greater than 2.50 D and the relative area can be greater than 0.4692 for a pupil diameter of 3 mm. The DOFv can be greater than 1.70 D and the relative area can be greater than 0.1967 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.06, -1.26, -0.27, - -43- 4924-2764-9930.1Atty. Dkt. No.: 134447-57011.16, -2.10, -2.88, -3.45, -3.87, -4.20] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [- 2.17, -1.38, -1.03, -2.14, -3.12, -3.95, -4.52, -4.71, -4.75] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0135] FIG. 17 illustrates a power profile of sample design #15 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #15 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0136] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 63, Equation 64, and Equation 65. The power profile of +0.25D addition value can be defined by Equation 66, where r defines the semidiameter of the optic zone in an interval between [0: step(0.06015625): 3.85] mm, r is 1.925 mm and oris 1.1374 mm. The power profile for an addition value of +0.25D can be defined by Equation 67, where profile0,25D#1Sis a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#15= m#15(ad) · profile025D#15+ b#15(ad) (63)m#15(ad) = 3.82 • ad + (0.02971) (64)b#15(ad) = 0.1066 • ad + (—0.02309) (65)n=13 profile025D#is= pk• zn,- z = (r - r) / crr(66)fc=0-44- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701profile025D#15= 0.0189 - 0.1350z + 0.1680z2+ 0.3963Z3+ 0.0581Z4- 0.6147z5- 0.6346z6(67)+ 0.2133Z7+ 0.6501Z8+ 0.1267z9- 0.2467z10- 0.0919Z11+ 0.0322z12+ 0.0148Z13

[0137] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 63. The mean square error between the profiles (e.g., defined as <(P — profilead#15) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0138] The DOFv can be greater than 1.40 D and the relative area can be greater than 0.6539 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5845 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.65, -0.05, -0.65, -1.57, -2.17, -2.60, -2.93] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.80, -0.37, -1.51, -2.53 -3.18, -3.66, -4.03] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0139] The DOFv can be greater than 2.50 D and the relative area can be greater than 0.4249 for a pupil diameter of 3 mm. The DOFv can be greater than 1.10 D and the relative area can be greater than 0.0777 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.45, -1.81, -1.04, -0.42, -1.48, -2.52, -3.22, -3.71, -4.15] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.51, -1.85, -1.55, -1.32, -2.48, -3.56, -4.38, -4.70, -4.66] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0140] FIG. 18 illustrates a power profile of sample design #16 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #16 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25-45- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701diopters to +4.00 diopters. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0141] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 68, Equation 69, and Equation 70. The power profile of +0.25D addition value can be defined by Table 9, where columns titled ‘x (mm)’ represent the optic zone semidiameter points in millimeters, and the columns tilted ‘Power profile (D)’ represent the power profile values in diopters for each corresponding point of the optic zone.profilead#i6= m#16(ad) ■ profile025D#16+ b#16(ad) (68)m#16(ad) = 3.732 • ad + (-0.08147) (69)b#16(ad) = -0.01955 • ad + 0.03757 (70)Table 9.X (mm) Power profile (D) X (mm) Power profile (D) 0 0.217 3.4375 -0.0070.0625 0.212 3.5 -0.0070.125 0.199 3.5625 -0.0070.1875 0.177 3.625 -0.0070.25 0.156 3.6875 -0.0070.3125 0.102 3.75 -0.0070.375 -0.005 3.8125 0.0020.4375 -0.006 3.875 0.0020.5 -0.006 3.9375 0.0020.5625 -0.006 4 0.0020.625 -0.0060.6875 -0.00620.75 -0.006-46- 4924-2764-9930.1Atty. Dkt. No.: 134447-57010.8125 -0.006 0.875 -0.005 0.9375 0.0271 0.249 1.0625 0.256 1.125 0.264 1.1875 0.2711.25 0.266 1.3125 0.269 1.375 0.273 1.4375 0.1071.5 0.031 1.5625 0.042 1.625 0.009 1.6875 0.0031.75 -0.004 1.8125 -0.001 1.875 0.001 1.9375 0.0132 0.172 2.0625 0.206 2.125 0.215 2.1875 0.191 2.25 0.205 2.3125 0.207 2.375 0.212 2.4375 0.1922.5 0.185 2.5625 0.194 2.625 0.037 2.6875 -0.009 2.75 0.007-47- 4924-2764-9930.1Atty. Dkt. No.: 134447-57012.8125 0.0022.875 0.0012.9375 0.0003 0.0003.0625 -0.0023.125 -0.0043.1875 -0.0063.25 -0.0063.3125 -0.0063.375 -0.006[01421 Table 9. Optic zone semidiameter (mm) and power profile (D).

[0143] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 68. The mean square error between the profiles (e.g., defined as <(P — profilead)) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0144] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.6055 for a pupil diameter of 3 mm. The DOFv can be greater than 0.90 D and the relative area can be greater than 0.5583 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.67, -0.06, -0.68, -1.49, -2.05, -2.48, -2.84] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.96, -0.35, -1.52, -2.39 -2.95, -3.38, -3.74] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0145] The DOFv can be greater than 1.60D and the relative area can be greater than 0.2895 for a pupil diameter of 3 mm. The DOFv can be greater than 0.01 D and the relative area can be greater than 0.01 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-1.19, -0.95, -1.81, -1.87, -1.85, -2.25, -2.88, -3.11, -3.40] for a 3 mm pupil size. The TVRIQ curve for an object vergence -48- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701of [0.00D, 1.00D, 2.00D, 3. OOD, 4.00D, 5. OOD, 6.00D, 7.00D, 8. OOD] can be [-1.89, -1.56, -2.41, -2.03, -2.51, -2.93, -3.71, -3.89, -4.06] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0146] FIG. 19 illustrates a power profile of sample design #17 for a sphere power value of 0D and an addition value of +2.50D. The power profile can include a plot of axial power profile (D) vs. chord diameter (mm). The apparatus can include the ophthalmic lens. The ophthalmic lens can provide a DOFv related to depth of focus with the sample design power profile #17 for addition values in a range of +0.25D to +4.00D. The ophthalmic lens can provide an extended depth of field object vergences related to depth of focus. The ophthalmic lens can provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters. The ophthalmic lens can compensate astigmatism. The ophthalmic lens can compensate astigmatism without a cylinder correction or an axis correction. The ophthalmic lens can compensate myopia. The ophthalmic lens can compensate hyperopia. The ophthalmic lens can compensate presbyopia. The ophthalmic lens can include a silicone hydrogel. The ophthalmic lens can include a silicone hydrogel material or hydrogel material.

[0147] The power profile for an addition value between +0.25 diopters and +4.00 diopters can be defined by Equation 71, Equation 72, and Equation 73. The power profile of +0.25D addition value can be defined by Equation 74, where r defines the semidiameter of the optic zone in an interval between [0: step(0.0625): 4] mm, r is 2 mm and oris 1.1817 mm. The power profile for an addition value of +0.25D can be defined by Equation 75, where profile025D#i7is a polynomial function corresponding to the +0.25 diopter addition value power profile.profilead#17= m#17(ad) • profile025D#i7+ b#17(ad) (71)m#17(ad) = 3.677 · ad + 0.3219 (72)b#17(ad) = 0.07674 • ad + (-0.05965) (73)n=13 profile025D#i7= pk• zn,' z = (r - r) / crr(74)fc=0-49- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701profile0 25D#17= -0.0022 + 0.1358z + 0.5627Z2- 0.2146z3- 0.5047z4- 0.1579z5(75)- 0.2649Z6+ 0.0766Z7+ 0.5453z8+ 0.1442z9- 0.2421z10- 0.0964Z11+ 0.0342Z12+ 0.0160Z13

[0148] The mean power profile of the ophthalmic lens can differ ± 0.25 D of the mean power profile of Equation 71. The mean square error between the profiles (e.g., defined as<(P — profilead#i7) )) can be lower than 0.252D2, where ( ) is equivalent to taking the mean value, and P is any other profile considered.

[0149] The DOFv can be greater than 1.50 D and the relative area can be greater than 0.6279 for a pupil diameter of 3 mm. The DOFv can be greater than 1.00 D and the relative area can be greater than 0.5383 for a pupil diameter of 5 mm. Data are for the minimum range value of addition (+0.25D). The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.74, -0.09, -0.52, -1.46, -2.13, -2.58, -2.93] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] can be [-0.81, -0.41, -1.39, -2.39 -3.06, -3.54, -3.94] for a 5 mm pupil size. Data are for the minimum range value of addition (+0.25D).

[0150] The DOFv can be greater than 2.50 D and the relative area can be greater than 0.3276 for a pupil diameter of 3 mm. The DOFv can be greater than 0.01 D and the relative area can be greater than 0.01 for a pupil diameter of 5 mm. Data are for the maximum range value of addition (+4.00D). The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.47, -2.29, -1.84, -1.39, -0.66, -1.19, -2.34, -3.08, -3.62] for a 3 mm pupil size. The TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] can be [-2.57, -2.07, - 2.34, -2.19, -1.56, -2.16, -3.34, -4.25, -3.85] for a 5 mm pupil size. Data are for the maximum range value of addition (+4.00D).

[0151] FIG. 20 illustrates the selected criteria for comparison between designs. The threshold value (th) can be used to set the limit between a defined “good” visual quality and “worse” visual quality. The threshold value represented is -1.5 log units. The diopters along which the TVRIQ curve is above the threshold can be considered as the vergences or object distances in the x-axis where the quality of vision is acceptable, that is, when the curve is -50- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701over the threshold, that is called the “objective DOFv” (related to DOF through Equation 2). This can include the depth of field associated with the depth of focus (DOF). The objective DOFv can include depth of field associated with the depth of focus.[01521 FIG. 20 illustrates a plot of curves of logarithm of through vergence retinal image quality (log(TVRIQ)) represented with the objective DOFv. FIG. 20 illustrates the object vergences in diopters (D) represented in the x-axis, while the through-vergence retinal image quality (TVRIQ) is represented in the y-axis. TVRIQ can equal log(VSOTF). Curves represented correspond to the sample design #11 lens for various pupil diameter values as a function of object vergence from a minimum value of 3 mm and a maximum value of 5 mm. Two thresholds (e.g., limits) are also represented in the plot. One threshold is located at -1.5 log units and another threshold is at -2.3 log units. These limits can separate and distinguish a good visual quality from a worse one. The zones of the curve under the threshold can indicate that the visual quality could be compromised, so that it can be improved following different optimization procedures described above. The threshold for a good vision can be -1.5 log units considered for the next examples. Overall, calculations can be made based on the depth of field (DOFv) related with the depth of focus.|0153] FIG. 21 illustrates a plot of the parameters (e.g., quality criteria parameters) used in the quality criteria analysis. A relative area value can be given whose value is be between 0 and 1 that can indicate if the visual quality within the objective DOFv is at a maximum (1) or at a minimum (0). This is the percentage area under the curve, compared with the maximum area achieved. The relative area formula is shown in FIG. 21. Increasing the relative area can increase visual quality inside the DOFv range related to the chosen threshold. The relative area (Arei) considering the diopter threshold (th) can be represented by Equation 76.Arel= ∫DOFv(TVRIQ − th) · dD / |th| · DOFv

[0154] FIG. 21 also illustrates a plot of the maximum TVRIQ curve point coordinates. Peak value (pks) can be defined as the y-coordinate of the maximum value of the TVRIQ curve. The diopter vergence maximum Dvergmax can be defined as the x-coordinate of the maximum value of the TVRIQ curve. This parameter can give the value of the object -51- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701vergence at which the maximum visual quality occurs, where the target would be centered. It can be used to see if the design provides a better visual performance on far, near, or intermediate vision.

[0155] FIG. 22 illustrates a plot of Arelvs. objective DOFv, for a pupil diameter of 3 mm and for the lenses with high addition values (e.g., between +2.00D and +3.00D). Each symbol represents one lens. In the legend, the first 13 lenses are commercialized lenses, while the next 17 represent the new designs (e.g., designs of the present disclosure, new design types, lenses). The plot shows the results of image quality represented with the relative area parameter versus the objective DOFv. As inversely proportional parameters, the value of the objective DOFv increases while the visual quality decreases, in general.

[0156] The new design types can have similar visual quality to commercial lenses, but with a higher or similar objective DOFv value. The lenses can perform successfully above the selected threshold of -1.5 log units for TVRIQ curves.

[0157] FIG. 23 illustrates a plot of Are[ vs. objective DOFv, for a pupil diameter of 5 mm and for the lenses with high addition values (e.g., between +2.00D and +3.00D). Each symbol represents one lens. In the legend, the first 13 lenses are commercialized lenses, while the next 17 represent the new designs. The new design types can have similar visual quality to commercial lenses, but with a higher or similar objective DOFv value. The lenses can perform successfully above the selected threshold of -1.5 log units for TVRIQ curves.[0158 J FIG. 24 illustrates a plot of diopter vergence maximum ( Dverg max) vs. objective DOFv, for a pupil diameter of 3 mm and for the new design with high addition values (e.g., between +2.00D and +3.00D). Each symbol represents one lens, in the legend, the first 13 lenses are commercialized lenses, while the next 17 represent the new designs. The plot compares the value of the objective DOFv with the object vergence where the maximum visual quality occurs (Dverg max), which helps to place the design in visual performance for near, intermediate, and far (e.g., distance) vision. The lenses can be adapted for near, intermediate, and far vision. The lenses can extend the range of objective DOFv.

[0159] FIG. 25 illustrates a plot of diopter vergence maximum Dverg maxvs. objective DOFv, for a pupil diameter of 5 mm and for the new design with high addition values (e.g., between +2.00D and +3.00D). Each symbol represents one lens, in the legend, the first 13-52- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701lenses are commercialized lenses, while the next 17 represent the mentioned new designs. The plot compares the value of the objective DOF with the object vergence where the maximum visual quality occurs (Dvergmax), which helps to place the design in visual performance for near, intermediate, and far (e.g., distance) vision. The lenses can be adapted for near, intermediate, and far vision. The lenses can extend the range of objective DOFv.III. Designs for partial astigmatism visual quality compensation|0160] Astigmatism supposes the existence of two refractive powers in perpendicular directions. A possible way to alleviate its influence on image quality is to use different pupil zones for different optical powers. A bifocal lens type can be used to implement axis free correction and astigmatic error. A bifocal lens with a transition between the two power zones can be used for axis free astigmatism partial compensation. The transition between both areas gives rise to abrupt power profiles, with a different ray impact diagram on the retina. In FIG. 26 it can be seen how these different power profiles can produce diagrams of astigmatic impacts on the retina. FIG. 26 illustrates plots of the power profile with different pupil zones for different refractive powers of astigmatism (up) and the diagram of spots caused in the retina. The greater or lesser transition gradient between the pupil zones dedicated to each power can determine the greater or lesser degree of astigmatism in the image spot.[01611 Starting from the previous types of lenses of FIG. 26, these power profiles can be optimized in such a way as to minimize the size of the image spot and its variation along different vergences of the object. FIG. 27 illustrates a plot of the power profiles of two sample designs obtained through optimization. FIG. 7 shows the plot of axial power profile (D) vs. chord diameter (mm). Sample design #02 and #17 are examples of this type of partial astigmatism compensation designs through optimization. The sample design #02 contact lens can have a power in the central zone of 2.50 D and a peripheral power of 0.00 D. For the sample design #02, the astigmatism can be partially compensated by 30%, according to specific comparison of the spot size for different pupil diameters. This is the percentage of the difference between image planes where the minimum spot size occurs in the perpendicular directions of astigmatism for each pupil size associated with that refractive power. For example, in FIG. 26 it would be the percentage of difference between -53- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701the image planes where the part of the spot oriented vertically and the horizontal part are observed, each one caused by an area of the pupil. For the sample design #17, the astigmatism can be partially compensated by 19%. The power profiles of sample design #02 and sample design #17 can be similar in the central 1.5 mm radius (Zone corresponding to the spherical prescription in the center + Zone corresponding to the cylinder prescription in the periphery). However, the profiles can differ more from 1.5 mm to 4 mm optic zone radius (Sphere Zone). The sample design #02 and the sample design #17 can partially compensate astigmatism with axis free correction, and, at the same time, produce an “objective DOFv” extension (especially sample design #17).

[0162] The sample design #02 can be optimized to increase the depth of field (DOFv) of the system. The sample design #02 can partially compensate the astigmatic correction up to 30%. The sample design #17 can be optimized to increase the depth of focus of the system. The sample design #17 can partially compensate the astigmatic correction up to 19%.IV. Contact lens designs characteristics[01631 FIG. 3-19 illustrates different power profiles than can be implemented in the apparatus (lenses). Then, the apparatus can include one or more lenses (e.g., contact lenses). The lens can increase the depth of field (DOFv) related to depth of focus and maintain or increase visual quality. The lens can provide an extended depth of field (DOFv) and related depth of focus.[0164| The lens can partially compensate astigmatism with a rotationally symmetric power profile. The lens can partially compensate astigmatism without an axis correction. The lens can partially compensate astigmatism without both a cylinder correction and an axis correction. The lens can be made of various materials. For example, the lens can be made of a hydrogel or a silicon hydrogel with an index of refraction from 1.2274 to 1.5274.

[0165] The lenses can have designs that are optimized for presbyopia correction, addressing associated refractive errors. The lenses can extend depth of field (DOFv) and related depth of focus. The lenses can partially compensate astigmatism. The design of the lenses can be obtained from different and various starting lens designs. The selection of the optimized designs of the lenses can be based on one or more quality criteria related to the objective depth of focus, relative area under the TVRIQ curve, and the maximum diopter peak that -54- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701describes the distance at which each design shows a better visual performance (e.g., far, intermediate, or near).

[0166] The lenses can have a horizontal and vertical movement during blinking. According to normal movement decentrations (e.g., horizontal lens movement of up to ± 0.3 mm. and vertical lens movement of up to ± 0.1 mm), the lenses do not compromise the visual performance by tolerance studies. The lens 100 can move during blinking of the user or patient. The lens 100 can stabilize after blinking. A tolerance analysis can allow for the determination of the decentration of the lenses. Modifications of the designs of the lenses can increase or decrease the tolerances of the lenses.Embodiments[0167[ Embodiment 1: An apparatus, comprising an ophthalmic lens configured to provide a DOFv related to depth of focus with at least one power profile shown in FIGS. 3-17 for addition values in a range of +0.25D to +4.00D.

[0168] Embodiment 2. The apparatus of Embodiment 1, wherein the ophthalmic lens is configured to provide an extended depth of field object vergences related to depth of focus.10169] Embodiment 3. The apparatus of Embodiments 1 or 2, wherein the ophthalmic lens is configured to compensate myopia, hyperopia, astigmatism, and / or presbyopia.

[0170] Embodiment 4. The apparatus of any one of Embodiments 1-3, wherein the ophthalmic lens is configured to compensate astigmatism without a cylinder correction or an axis correction.

[0171] Embodiment 5. The apparatus of any one of Embodiments 1-4, wherein the ophthalmic lens comprises a silicone hydrogel, a silicone hydrogel material, or a hydrogel material.

[0172] Embodiment 6. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.4398 for a pupil diameter of 3 mm and the DOFv is greater than 1.00 D and the relative area is greater than 0.0655 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, -55- 4924-2764-9930.1Atty. Dkt. No.: 134447-57013.00D] is [-0.66, -0.71, -0.84, -1.42, -2.16, -2.56, -2.88] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.37, -1.39, -1.46, -2.17 -3.11, -3.55, -3.92] for the pupil diameter of 5 mm.[01731 Embodiment 7. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.20 D and a relative area is greater than 0.4182 for a pupil diameter of 3 mm and the DOFv is greater than 0.30 D and the relative area is greater than 0.0107 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.09, -0.58, -1.34, -1.97, -2.28, -2.51, -2.82, -3.15, -4] forthe pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.06, -1.48, -2.13, -2.20, -1.85, -2.92, -3.15, -3.44, -3.65] forthe pupil diameter of 5 mm.

[0174] Embodiment 8. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.60 D and a relative area is greater than 0.5393 for a pupil diameter of 3 mm and the DOFv is greater than 1.10 D and the relative area is greater than 0.2080 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.94, -0.55, -0.49, -1.17, -2.12, -2.58, -2.92] forthe pupil diameter of 3 mm and The TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.06, -1.14, -1.36, -2.13 -3.06, -3.56, -3.94] forthe pupil diameter of 5 mm.

[0175] Embodiment 9. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.40 D and a relative area is greater than 0.3697 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.54, -2.31, -1.94, -1.38, -0.60, -1.14, -2.33, -3.09, -3.64] forthe pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.33, -2.15, -2.48, -2.19, -1.50, -2.12, -3.35, -3.92, -3.92] forthe pupil diameter of 5 mm.-56- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0176] Embodiment 10. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.431 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.1776 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.76, -0.77, -0.79, -1.40, -2.24, -2.65, -2.96] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.07, -1.27, -1.65, -2.39 -3.16, -3.57, -3.89] for the pupil diameter of 5 mm.[0177| Embodiment 11. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 3.20 D and a relative area is greater than 0.2687 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.02, -0.97, -1.15, -1.02, -1.78, -2.61, -3.06, -3.58, -3.67] forthe pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.13, -1.51, -1.85, -2.01, -2.79, -3.50, -3.89, -4.39, -4.13] forthe pupil diameter of 5 mm.

[0178] Embodiment 12. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.4617 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.1826 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.85, -0.72, -0.70, -1.34, -2.24, -2.68, -3.02] forthe pupil diameter of 3 mm and the TVRIQ curve forthe object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.07, -1.22, -1.58, -2.36 -3.22, -3.68, -4.03] for the pupil diameter of 5 mm.

[0179] Embodiment 13. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.60 D and a relative area is greater than 0.3379 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.0373 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.30, -1.40, -0.73, -1.03, -1.87, -2.46, -2.87, -3.17, -3.49] forthe -57- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.32, -1.42, -1.57, -1.93, -2.79, -3.39, -3.86, -3.86, -4.16] for the pupil diameter of 5 mm.[0l80| Embodiment 14. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.4375 for a pupil diameter of 3 mm and the DOFv is greater than 0.70 D and the relative area is greater than 0.2107 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.72, -0.74, -0.80, -1.42, -2.23, -2.63, -2.94] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.02, -1.26, -1.68, -2.44 -3.22, -3.65, -4] for the pupil diameter of 5 mm.(0181] Embodiment 15. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 3.10 D and a relative area is greater than 0.2775 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.04 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.88, -1.07, -0.93, -1.13, -1.99, -2.72, -3.10, -3.65, -3.65] forthe pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.06, -1.58, -1.41, -2.09, -2.93, -3.55, -3.72, -4.24, -3.96] for the pupil diameter of 5 mm.

[0182] Embodiment 16. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.30 D and a relative area is greater than 0.6812 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5731 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.51, -0.03, -0.81, -1.67, -2.23, -2.63, -2.94] for the pupil diameter of 3 mm and the TVRIQ curve forthe object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.77, -0.37, -1.69, -2.63 -3.25, -3.68, -4.02] forthe pupil diameter of 5 mm.

[0183] Embodiment 17. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 3.10 D and a-58- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701relative area is greater than 0.2591 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.93, -0.99, -1.04, -1.19, -1.83, -2.60, -3.06, -3.56, -3.67] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.09, -1.50, -1.54, -2.19, -2.83, -3.46, -3.76, -4.39, -4.06] for the pupil diameter of 5 mm.

[0184] Embodiment 18. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.30 D and a relative area is greater than 0.6854 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5691 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.56, -0.02, -0.76, -1.66, -2.22, -2.63, -2.98] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.72, -0.43, -1.66, -2.63 -3.24, -3.69, -4.04] for the pupil diameter of 5 mm.

[0185] Embodiment 19. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.20 D and a relative area is greater than 0.3369 for a pupil diameter of 3 mm and the DOFv is greater than 0.30 D and the relative area is greater than 0.0263 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.89, -1.21, -0.63, -1.60, -1.73, -2.24, -2.93, -3.42, -3.72] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.57, -1.92, -1.44, -2.58, -2.75, -3.30, -3.95, -4.13, -4.48] for the pupil diameter of 5 mm.

[0186] Embodiment 20. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.40 D and a relative area is greater than 0.6443 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5716 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.58, -0.02, -0.74, -1.64, -2.21, -2.63, -2.98] for the pupil diameter of 3 mm and-59- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701the TVRIQ curve for the object vergence of [OD, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.74, -0.41, -1.63, -2.62 -3.23, -3.69, -4.06] for the pupil diameter of 5 mm.

[0187] Embodiment 21. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.80 D and a relative area is greater than 0.3242 for a pupil diameter of 3 mm and the DOFv is greater than 0.40 D and the relative area is greater than 0.0502 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.81, -1.25, -0.56, -1.29, -1.76, -2.25, -2.91, -3.50, -3.88] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.73, -1.87, -1.40, -2.27, -2.79, - 3.32, -3.99, -4.30, -4.58] for the pupil diameter of 5 mm.|0188] Embodiment 22. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.4368 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.194 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.62, -0.70, -0.87, -1.44, -2.14, -2.54, -2.86] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.06, -1.24, -1.61, -2.34 -3.15, -3.59, -3.96] for the pupil diameter of 5 mm.

[0189] Embodiment 23. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 0.80 D and a relative area is greater than 0.2083 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-0.81, -1.56, -1.67, -2.39, -2.64, -2.70, -2.83, -3.14, -3.92] forthe pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.49, -2.08, -2.12, -2.53, -3.20, - 3.33, -3.27, -3.57, -3.82] for the pupil diameter of 5 mm.

[0190] Embodiment 24. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.40 D and a-60- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701relative area is greater than 0.4526 for a pupil diameter of 3 mm and the DOFv is greater than 0.70 D and the relative area is greater than 0.1834 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D,3.00D] is [-0.59, -0.69, -0.91, -1.51, -2.21, -2.60, -2.91] for the pupil diameter of 3 mm andthe TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.06, -1.30, -1.72, -2.48 -3.27, -3.68, -4.01] for the pupil diameter of 5 mm.

[0191] Embodiment 25. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.3818 for a pupil diameter of 3 mm and the DOFv is greater than 2.10 D and the relative area is greater than 0.0826 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-0.52, -1.06, -1.78, -2.16, -2.44, -2.74, -3.14, -3.78, -3.96] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.44, -1.35, -1.39, -2.71, -2.71, -3.11, -3.55, -4.25, -4.17] forthe pupil diameter of 5 mm.

[0192] Embodiment 26. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.4462 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.2068 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.74, -0.75, -0.77, -1.36, -2.17, -2.59, -2.92] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.02, -1.23, -1.62, -2.39 -3.21, -3.66, -4.02] for the pupil diameter of 5 mm.

[0193] Embodiment 27. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.80 D and a relative area is greater than 0.3986 for a pupil diameter of 3 mm and the DOFv is greater than 1.80 D and the relative area is greater than 0.1318 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.60, -0.72, -0.72, -1.53, -2.18, -2.85, -3.38, -3.84, -4.48] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D,-61- 4924-2764-9930.1Atty. Dkt. No.: 134447-57012.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.94, -1.27, -1.28, -2.30, -3.03, -3.96, -4.03, -4.38, -4.55] for the pupil diameter of 5 mm.

[0194] Embodiment 28. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.40 D and a relative area is greater than 0.6402 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5854 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.48, -0.04, -0.81, -1.61, -2.16, -2.56, -2.89] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.91, -0.29, -1.59, -2.59 -3.22, -3.66, -4] for the pupil diameter of 5 mm.

[0195] Embodiment 29. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.30 D and a relative area is greater than 0.4089 for a pupil diameter of 3 mm and the DOFv is greater than 1.20 D and the relative area is greater than 0.0891 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.10, -0.61, -1.24, -1.86, -2.18, -2.51, -2.89, -3.34, -4.46] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D,2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.07, -1.30, -1.58, -2.31, -2.52, -2.84, -3.27, -3.92, -4.21] for the pupil diameter of 5 mm.

[0196] Embodiment 30. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.40 D and a relative area is greater than 0.6402 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5813 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.49, -0.04, -0.81, -1.61, -2.16, -2.57, -2.89] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.76, -0.37, -1.63, -2.57 -3.21, -3.66, -4.02] for the pupil diameter of 5 mm.

[0197] Embodiment 31. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.50 D and a relative area is greater than 0.3588 for a pupil diameter of 3 mm and the DOFv is greater-62- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701than 2.20 D and the relative area is greater than 0.069 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.04, -0.74, -1.16, -1.81, -2.13, -2.48, -2.96, -3.46, -4.57] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.45, -1.39, -1.36, -2.37, -2.74, -3.18, -3.71, -4.20, -4.57] for the pupil diameter of 5 mm.

[0198] Embodiment 32. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.40 D and a relative area is greater than 0.6429 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5847 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.56, -0.04, -0.74, -1.63, -2.20, -2.61, -2.95] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.76, -0.37, -1.61, -2.60 -3.24, -3.69, -4.04] for the pupil diameter of 5 mm.

[0199] Embodiment 33. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.50 D and a relative area is greater than 0.4692 for a pupil diameter of 3 mm and the DOFv is greater than 1.70 D and the relative area is greater than 0.1967 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.06, -1.26, -0.27, -1.16, -2.10, -2.88, -3.45, -3.87, -4.20] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D,2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.17, -1.38, -1.03, -2.14, -3.12, -3.95, -4.52, -4.71, -4.75] for the pupil diameter of 5 mm.

[0200] Embodiment 34. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.40 D and a relative area is greater than 0.6539 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5845 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.65, -0.05, -0.65, -1.57, -2.17, -2.60, -2.93] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.80, -0.37, -1.51, -2.53 -3.18, -3.66, -4.03] for the pupil diameter of 5 mm.-63- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0201] Embodiment 35. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.50 D and a relative area is greater than 0.4249 for a pupil diameter of 3 mm and the DOFv is greater than 1.10 D and the relative area is greater than 0.0777 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.45, -1.81, -1.04, -0.42, -1.48, -2.52, -3.22, -3.71, -4.15] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D,2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.51, -1.85, -1.55, -1.32, -2.48, -3.56, -4.38, -4.70, -4.66] for the pupil diameter of 5 mm.

[0202] Embodiment 36. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.6055 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5583 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.67, -0.06, -0.68, -1.49, -2.05, -2.48, -2.84] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.96, -0.35, -1.52, -2.39 -2.95, -3.38, -3.74] for the pupil diameter of 5 mm.

[0203] Embodiment 37. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 1.60D and a relative area is greater than 0.2895 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.19, -0.95, -1.81, -1.87, -1.85, -2.25, -2.88, -3.11, -3.40] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D,2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.89, -1.56, -2.41, -2.03, -2.51, -2.93, -3.71, -3.89, -4.06] for the pupil diameter of 5 mm.

[0204] Embodiment 38. The apparatus of any one of Embodiments 1-5, wherein, for a minimum range value of addition of +0.25 D, (1) the DOFv is greater than 1.50 D and a relative area is greater than 0.6279 for a pupil diameter of 3 mm and the DOFv is greater than 1.00 D and the relative area is greater than 0.5383 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, -64- 4924-2764-9930.1Atty. Dkt. No.: 134447-57013.00D] is [-0.74, -0.09, -0.52, -1.46, -2.13, -2.58, -2.93] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.81, -0.41, -1.39, -2.39 -3.06, -3.54, -3.94] for the pupil diameter of 5 mm.[0205| Embodiment 39. The apparatus of any one of Embodiments 1-5, wherein, for a maximum range value of addition of +4.00 D, (1) the DOFv is greater than 2.50 D and a relative area is greater than 0.3276 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm and (2) a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.47, -2.29, -1.84, -1.39, -0.66, -1.19, -2.34, -3.08, -3.62] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D,2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.57, -2.07, -2.34, -2.19, -1.56, -2.16, -3.34, -4.25, -3.85] for the pupil diameter of 5 mm.

[0206] Embodiment 40. An apparatus, comprising an ophthalmic lens configured to have a depth of focus greater than 2.1 diopters (D) and a relative area greater than 0.27 for a pupil semidiameter in a range of 3 mm and 5 mm.

[0207] Embodiment 41. The apparatus of Embodiment 40, wherein the ophthalmic lens is configured to provide an extended depth of focus.

[0208] Embodiment 42. The apparatus of Embodiments 40 or 41, wherein the depth of focus is greater than 2.3 D.

[0209] Embodiment 43. The apparatus of any one of Embodiments 40-42, wherein the depth of focus is greater than 2.5 D.

[0210] Embodiment 44. The apparatus of any one of Embodiments 40-43, wherein the ophthalmic lens is configured to compensate astigmatism.

[0211] Embodiment 45. The apparatus of any one of Embodiments 40-44, wherein the ophthalmic lens is configured to compensate astigmatism without a cylinder correction or an axis correction.

[0212] Embodiment 46. The apparatus of any one of Embodiments 40-45, wherein the relative area is 0.48 and the ophthalmic lens has an equivalent defocus (ΔDeq) of 0.195.-65- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0213] Embodiment 47. The apparatus of any one of Embodiments 40-45, wherein the relative area is 0.28 and the ophthalmic lens has an equivalent defocus of 0.27.

[0214] Embodiment 48. The apparatus of any one of Embodiments 40-45, wherein the relative area is 0.51 and the ophthalmic lens has an equivalent defocus of 0.18.

[0215] Embodiment 49. The apparatus of any one of Embodiments 40-45, wherein the relative area is 0.43 and the ophthalmic lens has an equivalent defocus of 0.21.

[0216] Embodiment 50. The apparatus of any one of Embodiments 40-45, wherein the relative area is 0.36 and the ophthalmic lens has an equivalent defocus of 0.24.

[0217] Embodiment 51. The apparatus of any one of Embodiments 40-45, wherein the relative area is 0.38 and the ophthalmic lens has an equivalent defocus of 0.23.

[0218] Embodiment 52. The apparatus of any one of Embodiments 40-45, wherein the ophthalmic lens comprises a silicone hydrogel.

[0219] Embodiment 53. An apparatus, comprising an ophthalmic lens configured to have a depth of focus greater than 2.1 diopters (D) and a Visual Strehl ratio (VSOTF) of greater than -3 for a pupil semidiameter in a range of 3 mm and 5 mm.

[0220] Embodiment 54. The apparatus of Embodiment 53, wherein the VSOTF is greater than -1.5 for an object vergence of 0 D.

[0221] Embodiment 55. The apparatus of Embodiment 53 or 54, wherein the VSOTF is greater than -1 for an object vergence of 1 D.

[0222] Embodiment 56. The apparatus of any one of Embodiment 53-55, wherein the VSOTF is greater than -2 for an object vergence of 1.5 D.

[0223] Embodiment 57. The apparatus of any one of Embodiment 53-56, wherein the VSOTF is greater than -3 for an object vergence of 2.5 D.

[0224] Embodiment 58. The apparatus of any one of Embodiment 53-57, wherein the depth of focus is greater than 2.5 D.-66- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0225] Embodiment 59. The apparatus of any one of Embodiments 53-58, wherein the ophthalmic lens is configured to compensate astigmatism without a cylinder correction or an axis correction.

[0226] Having now described some illustrative implementations, it is apparent that the foregoing is illustrative and not limiting, having been presented by way of example. In particular, although many of the examples presented herein involve specific combinations of method acts or system elements, those acts and those elements may be combined in other ways to accomplish the same objectives. Acts, elements and features discussed in connection with one implementation are not intended to be excluded from a similar role in other implementations or implementations.

[0227] The phraseology and terminology used herein is for the purpose of description and should not be regarded as limiting. The use of “including” “comprising” “having” “containing” “involving” “characterized by” “characterized in that” and variations thereof herein, is meant to encompass the items listed thereafter, equivalents thereof, and additional items, as well as alternate implementations consisting of the items listed thereafter exclusively. In one implementation, the systems and methods described herein consist of one, each combination of more than one, or all of the described elements, acts, or components.

[0228] As used herein, the singular terms “a,” “an,” and “the” may include plural referents unless the context clearly dictates otherwise. Spatial descriptions, such as “above,” “below,” “up,” “left,” “right,” “down,” “top,” “bottom,” “vertical,” “horizontal,” “side,” “higher,” “lower,” “upper,” “over,” “under,” and so forth, are indicated with respect to the orientation shown in the figures unless otherwise specified. It should be understood that the spatial descriptions used herein are for purposes of illustration only, and that practical implementations of the structures described herein can be spatially arranged in any orientation or manner, provided that the merits of embodiments of this disclosure are not deviated by such arrangement.

[0229] As used herein, the terms “approximately,” “substantially,” “substantial” and “about” are used to describe and account for small variations. As utilized herein with respect to structural features (e.g., to describe shape, size, orientation, direction, relative-67- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701position, etc.), the terms “approximately,” “about,” “substantially,” and similar terms are meant to cover minor variations in structure that may result from, for example, the manufacturing or assembly process and are intended to have a broad meaning in harmony with the common and accepted usage by those of ordinary skill in the art to which the subject matter of this disclosure pertains. Accordingly, these terms should be interpreted as indicating that insubstantial or inconsequential modifications or alterations of the subject matter described and claimed are considered to be within the scope of the disclosure as recited in the appended claims. When used in conjunction with an event or circumstance, the terms can refer to instances in which the event or circumstance occurs precisely as well as instances in which the event or circumstance occurs to a close approximation. For example, when used in conjunction with a numerical value, the terms can refer to a range of variation less than or equal to ±10% of that numerical value, such as less than or equal to ±5%, less than or equal to ±4%, less than or equal to ±3%, less than or equal to ±2%, less than or equal to ±1%, less than or equal to ±0.5%, less than or equal to ±0.1%, or less than or equal to ±0.05%. For example, two numerical values can be deemed to be “substantially” the same if a difference between the values is less than or equal to ±10% of an average of the values, such as less than or equal to ±5%, less than or equal to ±4%, less than or equal to ±3%, less than or equal to ±2%, less than or equal to ±1%, less than or equal to ±0.5%, less than or equal to ±0.1%, or less than or equal to ±0.05%.

[0230] Additionally, amounts, ratios, and other numerical values are sometimes presented herein in a range format. It is to be understood that such range format is used for convenience and brevity and should be understood flexibly to include numerical values explicitly specified as limits of a range, but also to include all individual numerical values or sub-ranges encompassed within that range as if each numerical value and sub-range is explicitly specified.

[0231] It should be noted that the term “exemplary” and variations thereof, as used herein to describe various embodiments, are intended to indicate that such embodiments are possible examples, representations, or illustrations of possible embodiments (and such terms are not intended to connote that such embodiments are necessarily extraordinary or superlative examples).-68- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0232] The term “coupled” and variations thereof, as used herein, means the joining of two members directly or indirectly to one another. Such joining may be stationary (e.g., permanent or fixed) or moveable (e.g., removable or releasable). Such joining may be achieved with the two members coupled directly to each other, with the two members coupled to each other using a separate intervening member and any additional intermediate members coupled with one another, or with the two members coupled to each other using an intervening member that is integrally formed as a single unitary body with one of the two members. If “coupled” or variations thereof are modified by an additional term (e.g., directly coupled), the generic definition of “coupled” provided above is modified by the plain language meaning of the additional term (e.g., “directly coupled” means the joining of two members without any separate intervening member), resulting in a narrower definition than the generic definition of “coupled” provided above. Such coupling may be mechanical, electrical, or fluidic.

[0233] Any references to implementations or elements or acts of the systems and methods herein referred to in the singular can include implementations including a plurality of these elements, and any references in plural to any implementation or element or act herein can include implementations including only a single element. References in the singular or plural form are not intended to limit the presently disclosed systems or methods, their components, acts, or elements to single or plural configurations. References to any act or element being based on any information, act or element may include implementations where the act or element is based at least in part on any information, act, or element.

[0234] Any implementation disclosed herein may be combined with any other implementation, and references to “an implementation,” “some implementations,” “an alternate implementation,” “various implementations,” “one implementation” or the like are not necessarily mutually exclusive and are intended to indicate that a particular feature, structure, or characteristic described in connection with the implementation may be included in at least one implementation. Such terms as used herein are not necessarily all referring to the same implementation. Any implementation may be combined with any other implementation, inclusively or exclusively, in any manner consistent with the aspects and implementations disclosed herein.

[0235] References to “or” may be construed as inclusive so that any terms described using “or” may indicate any of a single, more than one, and all of the described terms. References -69- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701to at least one of a conjunctive list of terms may be construed as an inclusive OR to indicate any of a single, more than one, and all of the described terms. For example, a reference to “at least one of ‘A’ and ‘B’” can include only ‘A’, only ‘B’, as well as both ‘A’ and ‘B’. Elements other than ‘A’ and ‘B’ can also be included.

[0236] Where technical features in the drawings, detailed description or any claim are followed by reference signs, the reference signs have been included to increase the intelligibility of the drawings, detailed description, and claims. Accordingly, neither the reference signs nor their absence have any limiting effect on the scope of any claim elements.

[0237] Modifications of described elements and acts such as variations in sizes, dimensions, structures, shapes and proportions of the various elements, values of parameters, mounting arrangements, use of materials, colors, orientations can occur without materially departing from the teachings and advantages of the subject matter disclosed herein. For example, elements shown as integrally formed can be constructed of multiple parts or elements, the position of elements can be reversed or otherwise varied, and the nature or number of discrete elements or positions can be altered or varied. Other substitutions, modifications, changes and omissions can also be made in the design, operating conditions and arrangement of the disclosed elements and operations without departing from the scope of the present disclosure.

[0238] Although the figures and description may illustrate a specific order of method steps, the order of such steps may differ from what is depicted and described, unless specified differently above. Also, two or more steps may be performed concurrently or with partial concurrence, unless specified differently above.

[0239] The systems and methods described herein may be embodied in other specific forms without departing from the characteristics thereof. The foregoing implementations are illustrative rather than limiting of the described systems and methods. Scope of the systems and methods described herein is thus indicated by the appended claims, rather than the foregoing description, and changes that come within the meaning and range of equivalency of the claims are embraced therein.-70- 4924-2764-9930.1Atty. Dkt. No.: 134447-5701

[0240] While the present disclosure has been described and illustrated with reference to specific embodiments thereof, these descriptions and illustrations do not limit the present disclosure. It should be understood by those skilled in the art that various changes may be made and equivalents may be substituted without departing from the true spirit and scope of the present disclosure as defined by the appended claims. The illustrations may not be necessarily drawn to scale. There may be distinctions between the artistic renditions in the present disclosure and the actual apparatus due to manufacturing processes and tolerances. There may be other embodiments of the present disclosure which are not specifically illustrated. The specification and drawings are to be regarded as illustrative rather than restrictive. Modifications may be made to adapt a particular situation, material, composition of matter, method, or process to the objective, spirit and scope of the present disclosure. All such modifications are intended to be within the scope of the claims appended hereto. While the methods disclosed herein have been described with reference to particular operations performed in a particular order, it will be understood that these operations may be combined, sub-divided, or re-ordered to form an equivalent method without departing from the teachings of the present disclosure. Accordingly, unless specifically indicated herein, the order and grouping of the operations are not limitations of the present disclosure.4924-2764-9930.1

Claims

Atty. Dkt. No.: 134447-5701WHAT IS CLAIMED IS:

1. An apparatus, comprising:an ophthalmic lens configured to provide a DOFv (related to depth of focus) for addition (ad) values in a range of +0.25 diopters to +4.00 diopters.

2. The apparatus of claim 1, wherein the ophthalmic lens is configured to provide an extended depth of field object vergences related to depth of focus.

3. The apparatus of claim 1, wherein the ophthalmic lens is configured to compensate myopia, hyperopia, astigmatism, or presbyopia.

4. The apparatus of claim 1, wherein the ophthalmic lens is configured to compensate astigmatism without a cylinder correction or an axis correction.

5. The apparatus of claim 1, wherein the ophthalmic lens comprises a silicone hydrogel material or hydrogel material.

6. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.4398 for a pupil diameter of 3 mm and the DOFv is greater than 1.00 D and the relative area is greater than 0.0655 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.66, -0.71, -0.84, -1.42, -2.16, -2.56, -2.88] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.37, -1.39, -1.46, -2.17 -3.11, -3.55, -3.92] for the pupil diameter of 5 mm.

7. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.20 D and a relative area is greater than 0.4182 for a pupil diameter of 3 mm and the DOFv is greater than 0.30 D and the relative area is greater than 0.0107 for the pupil diameter of 5 mm; andAtty. Dkt. No.: 134447-5701a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.09, -0.58, -1.34, -1.97, -2.28, -2.51, -2.82, -3.15, -4] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.06, -1.48, -2.13, -2.20, -1.85, -2.92, -3.15, -3.44, -3.65] for the pupil diameter of 5 mm.

8. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.60 D and a relative area is greater than 0.5393 for a pupil diameter of 3 mm and the DOFv is greater than 1.10 D and the relative area is greater than 0.2080 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.94, -0.55, -0.49, -1.17, -2.12, -2.58, -2.92] for the pupil diameter of 3 mm and The TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.06, -1.14, -1.36, -2.13 -3.06, -3.56, -3.94] for the pupil diameter of 5 mm.

9. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.40 D and a relative area is greater than 0.3697 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.54, -2.31, -1.94, -1.38, -0.60, -1.14, -2.33, -3.09, -3.64] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.33, -2.15, -2.48, -2.19, -1.50, -2.12, -3.35, -3.92, -3.92] for the pupil diameter of 5 mm.

10. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.431 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.1776 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.76, -0.77, -0.79, -1.40, -2.24, -2.65, -2.96] for the pupil diameter of 3 mm andAtty. Dkt. No.: 134447-5701the TVRIQ curve for the object vergence of [OD, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.07, -1.27, -1.65, -2.39 -3.16, -3.57, -3.89] for the pupil diameter of 5 mm.

11. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 3.20 D and a relative area is greater than 0.2687 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.02, -0.97, -1.15, -1.02, -1.78, -2.61, -3.06, -3.58, -3.67] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.13, -1.51, -1.85, -2.01, -2.79, -3.50, -3.89, -4.39, -4.13] for the pupil diameter of 5 mm.

12. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.4617 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.1826 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.85, -0.72, -0.70, -1.34, -2.24, -2.68, -3.02] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.07, -1.22, -1.58, -2.36 -3.22, -3.68, -4.03] for the pupil diameter of 5 mm.

13. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.60 D and a relative area is greater than 0.3379 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.0373 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.30, -1.40, -0.73, -1.03, -1.87, -2.46, -2.87, -3.17, -3.49] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.32, -1.42, -1.57, -1.93, -2.79, -3.39, -3.86, -3.86, -4.16] for the pupil diameter of 5 mm.Atty. Dkt. No.: 134447-570114. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.4375 for a pupil diameter of 3 mm and the DOFv is greater than 0.70 D and the relative area is greater than 0.2107 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.72, -0.74, -0.80, -1.42, -2.23, -2.63, -2.94] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.02, -1.26, -1.68, -2.44 -3.22, -3.65, -4] for the pupil diameter of 5 mm.

15. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 3.10 D and a relative area is greater than 0.2775 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.04 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.88, -1.07, -0.93, -1.13, -1.99, -2.72, -3.10, -3.65, -3.65] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.06, -1.58, -1.41, -2.09, -2.93, -3.55, -3.72, -4.24, -3.96] for the pupil diameter of 5 mm.

16. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.30 D and a relative area is greater than 0.6812 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5731 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.51, -0.03, -0.81, -1.67, -2.23, -2.63, -2.94] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.77, -0.37, -1.69, -2.63 -3.25, -3.68, -4.02] for the pupil diameter of 5 mm.

17. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:Atty. Dkt. No.: 134447-5701the DOFv is greater than 3.10 D and a relative area is greater than 0.2591 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.93, -0.99, -1.04, -1.19, -1.83, -2.60, -3.06, -3.56, -3.67] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, l. OOD, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.09, -1.50, -1.54, -2.19, -2.83, -3.46, -3.76, -4.39, -4.06] for the pupil diameter of 5 mm.

18. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.30 D and a relative area is greater than 0.6854 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5691 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.56, -0.02, -0.76, -1.66, -2.22, -2.63, -2.98] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.72, -0.43, -1.66, -2.63 -3.24, -3.69, -4.04] for the pupil diameter of 5 mm.

19. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.20 D and a relative area is greater than 0.3369 for a pupil diameter of 3 mm and the DOFv is greater than 0.30 D and the relative area is greater than 0.0263 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.89, -1.21, -0.63, -1.60, -1.73, -2.24, -2.93, -3.42, -3.72] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.57, -1.92, -1.44, -2.58, -2.75, -3.30, -3.95, -4.13, -4.48] for the pupil diameter of 5 mm.

20. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:Atty. Dkt. No.: 134447-5701the DOFv is greater than 1.40 D and a relative area is greater than 0.6443 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5716 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.58, -0.02, -0.74, -1.64, -2.21, -2.63, -2.98] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, l. OOD, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.74, -0.41, -1.63, -2.62 -3.23, -3.69, -4.06] for the pupil diameter of 5 mm.

21. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.80 D and a relative area is greater than 0.3242 for a pupil diameter of 3 mm and the DOFv is greater than 0.40 D and the relative area is greater than 0.0502 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.81, -1.25, -0.56, -1.29, -1.76, -2.25, -2.91, -3.50, -3.88] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.73, -1.87, -1.40, -2.27, -2.79, -3.32, -3.99, -4.30, -4.58] for the pupil diameter of 5 mm.

22. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.4368 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.194 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.62, -0.70, -0.87, -1.44, -2.14, -2.54, -2.86] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.06, -1.24, -1.61, -2.34 -3.15, -3.59, -3.96] for the pupil diameter of 5 mm.

23. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 0.80 D and a relative area is greater than 0.2083 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm; andAtty. Dkt. No.: 134447-5701a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-0.81, -1.56, -1.67, -2.39, -2.64, -2.70, -2.83, -3.14, -3.92] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.49, -2.08, -2.12, -2.53, -3.20, -3.33, -3.27, -3.57, -3.82] for the pupil diameter of 5 mm.

24. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.40 D and a relative area is greater than 0.4526 for a pupil diameter of 3 mm and the DOFv is greater than 0.70 D and the relative area is greater than 0.1834 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D,3.00D] is [-0.59, -0.69, -0.91, -1.51, -2.21, -2.60, -2.91] for the pupil diameter of 3 mm andthe TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.06, -1.30, -1.72, -2.48 -3.27, -3.68, -4.01] for the pupil diameter of 5 mm.

25. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.3818 for a pupil diameter of 3 mm and the DOFv is greater than 2.10 D and the relative area is greater than 0.0826 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-0.52, -1.06, -1.78, -2.16, -2.44, -2.74, -3.14, -3.78, -3.96] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.44, -1.35, -1.39, -2.71, -2.71, -3.11, -3.55, -4.25, -4.17] for the pupil diameter of 5 mm.

26. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.4462 for a pupil diameter of 3 mm and the DOFv is greater than 0.80 D and the relative area is greater than 0.2068 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.74, -0.75, -0.77, -1.36, -2.17, -2.59, -2.92] for the pupil diameter of 3 mm andAtty. Dkt. No.: 134447-5701the TVRIQ curve for the object vergence of [OD, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-1.02, -1.23, -1.62, -2.39 -3.21, -3.66, -4.02] for the pupil diameter of 5 mm.

27. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.80 D and a relative area is greater than 0.3986 for a pupil diameter of 3 mm and the DOFv is greater than 1.80 D and the relative area is greater than 0.1318 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.60, -0.72, -0.72, -1.53, -2.18, -2.85, -3.38, -3.84, -4.48] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.94, -1.27, -1.28, -2.30, -3.03, -3.96, -4.03, -4.38, -4.55] for the pupil diameter of 5 mm.

28. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.40 D and a relative area is greater than 0.6402 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5854 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.48, -0.04, -0.81, -1.61, -2.16, -2.56, -2.89] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.91, -0.29, -1.59, -2.59 -3.22, -3.66, -4] for the pupil diameter of 5 mm.

29. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.30 D and a relative area is greater than 0.4089 for a pupil diameter of 3 mm and the DOFv is greater than 1.20 D and the relative area is greater than 0.0891 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.10, -0.61, -1.24, -1.86, -2.18, -2.51, -2.89, -3.34, -4.46] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.07, -1.30, -1.58, -2.31, -2.52, -2.84, -3.27, -3.92, -4.21] for the pupil diameter of 5 mm.Atty. Dkt. No.: 134447-570130. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.40 D and a relative area is greater than 0.6402 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5813 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.49, -0.04, -0.81, -1.61, -2.16, -2.57, -2.89] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.76, -0.37, -1.63, -2.57 -3.21, -3.66, -4.02] for the pupil diameter of 5 mm.

31. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.50 D and a relative area is greater than 0.3588 for a pupil diameter of 3 mm and the DOFv is greater than 2.20 D and the relative area is greater than 0.069 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.04, -0.74, -1.16, -1.81, -2.13, -2.48, -2.96, -3.46, -4.57] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.45, -1.39, -1.36, -2.37, -2.74, -3.18, -3.71, -4.20, -4.57] for the pupil diameter of 5 mm.

32. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.40 D and a relative area is greater than 0.6429 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5847 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.56, -0.04, -0.74, -1.63, -2.20, -2.61, -2.95] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.76, -0.37, -1.61, -2.60 -3.24, -3.69, -4.04] for the pupil diameter of 5 mm.

33. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:Atty. Dkt. No.: 134447-5701the DOFv is greater than 2.50 D and a relative area is greater than 0.4692 for a pupil diameter of 3 mm and the DOFv is greater than 1.70 D and the relative area is greater than 0.1967 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.06, -1.26, -0.27, -1.16, -2.10, -2.88, -3.45, -3.87, -4.20] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.17, -1.38, -1.03, -2.14, -3.12, -3.95, -4.52, -4.71, -4.75] for the pupil diameter of 5 mm.

34. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.40 D and a relative area is greater than 0.6539 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5845 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.65, -0.05, -0.65, -1.57, -2.17, -2.60, -2.93] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.80, -0.37, -1.51, -2.53 -3.18, -3.66, -4.03] for the pupil diameter of 5 mm.

35. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.50 D and a relative area is greater than 0.4249 for a pupil diameter of 3 mm and the DOFv is greater than 1.10 D and the relative area is greater than 0.0777 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.45, -1.81, -1.04, -0.42, -1.48, -2.52, -3.22, -3.71, -4.15] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.51, -1.85, -1.55, -1.32, -2.48, -3.56, -4.38, -4.70, -4.66] for the pupil diameter of 5 mm.

36. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:Atty. Dkt. No.: 134447-5701the DOFv is greater than 1.50 D and a relative area is greater than 0.6055 for a pupil diameter of 3 mm and the DOFv is greater than 0.90 D and the relative area is greater than 0.5583 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.67, -0.06, -0.68, -1.49, -2.05, -2.48, -2.84] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.96, -0.35, -1.52, -2.39 -2.95, -3.38, -3.74] for the pupil diameter of 5 mm.

37. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 1.60D and a relative area is greater than 0.2895 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.19, -0.95, -1.81, -1.87, -1.85, -2.25, -2.88, -3.11, -3.40] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-1.89, -1.56, -2.41, -2.03, -2.51, -2.93, -3.71, -3.89, -4.06] for the pupil diameter of 5 mm.

38. The apparatus of claim 1, wherein, for a minimum range value of addition of +0.25 D:the DOFv is greater than 1.50 D and a relative area is greater than 0.6279 for a pupil diameter of 3 mm and the DOFv is greater than 1.00 D and the relative area is greater than 0.5383 for the pupil diameter of 5 mm; anda TVRIQ curve for an object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.74, -0.09, -0.52, -1.46, -2.13, -2.58, -2.93] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0D, 0.50 D, 1.00D, 1.50D, 2.00D, 2.50D, 3.00D] is [-0.81, -0.41, -1.39, -2.39 -3.06, -3.54, -3.94] for the pupil diameter of 5 mm.

39. The apparatus of claim 1, wherein, for a maximum range value of addition of +4.00 D:the DOFv is greater than 2.50 D and a relative area is greater than 0.3276 for a pupil diameter of 3 mm and the DOFv is greater than 0.01 D and the relative area is greater than 0.01 for the pupil diameter of 5 mm; andAtty. Dkt. No.: 134447-5701a TVRIQ curve for an object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.47, -2.29, -1.84, -1.39, -0.66, -1.19, -2.34, -3.08, -3.62] for the pupil diameter of 3 mm and the TVRIQ curve for the object vergence of [0.00D, 1.00D, 2.00D, 3.00D, 4.00D, 5.00D, 6.00D, 7.00D, 8.00D] is [-2.57, -2.07, -2.34, -2.19, -1.56, -2.16, -3.34, -4.25, -3.85] for the pupil diameter of 5 mm.

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