Contact lens
By adopting a composite curved lens body design in contact lenses, the area of the arc section is optimized using a specific polynomial equation, the problem of large thickness gap at the junction of the annular area and the optical area is solved, and the wear comfort and rotational positioning are achieved.
Patent Information
- Application Number
- CN202410307799.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Priority Date
- 2023-09-28
- Filing Date
- 2024-03-18
- Publication Date
- 2025-03-28
AI Technical Summary
Existing contact lenses are prone to form a large thickness gap at the junction of the annular area and the optical area, resulting in a foreign body feeling and a poor user experience when worn.
The composite curved lens body design is adopted, and the section area formed in the radius and thickness direction conform to a specific polynomial equation. The area of the arc-shaped section is optimized by adjusting the polynomial parameters, thereby reducing the thickness drop.
It realizes that while maintaining good rotational positioning, the lens thickness drop is reduced and the wear comfort is improved.
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Figure CN119717305A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to a contact lens, in particular to an astigmatism contact lens. Background Art
[0002] For contact lenses with astigmatism, the positioning of the contact lenses is extremely important. If the positioning effect of the contact lenses is not good, the contact lenses are easy to rotate when worn, and the ideal correction effect cannot be achieved.
[0003] According to the different positioning methods, the contact lenses currently on the market can be roughly divided into vertically heavy designs and top-bottom thin designs. Both of these structural designs achieve the positioning effect by changing the thickness of the contact lenses.
[0004] The vertically weighted contact lenses use the force of gravity. When you wear the contact lenses, the heavier end of the contact lenses tends to rotate downwards to achieve the positioning effect. The top-bottom thin contact lenses use the moment of blinking to make the thinner ends of the contact lenses rotate to overlap with the eyelids to achieve the positioning effect.
[0005] Contact lenses can be divided into a central optical zone and a peripheral annular zone. The thickness of the optical zone changes with the degree of astigmatism. When the degree of astigmatism increases, the thickness of the optical zone will also increase. The thickness of the annular zone is designed according to different positioning mechanisms (for example: horizontal vertical weight design or vertical thinning design). The peripheral annular zone is the part that mainly achieves the positioning effect.
[0006] In order to achieve the above positioning effect, in the process of designing the thickness, the outer annular area is generally divided into multiple small blocks, and then the thickness value of each small block is designed separately. However, in the process of designing the thickness, only the positioning of the contact lens is considered, and the degree correction of the optical zone is not considered.
[0007] Therefore, a large thickness difference is easily formed at the junction of the outer annular area and the central optical area. Even if the curvature is adjusted, this thickness difference will still feel like a foreign body when worn, resulting in a poor user experience.
[0008] Specifically, in existing contact lenses, when the astigmatism is 0 degrees, the thickness difference on the lens is between 15% and 200%. When the astigmatism is higher (for example, 700 degrees), the thickness difference on the lens is between 20% and 110%.
[0009] Therefore, how to reduce the thickness difference of contact lenses by improving the structural design has become one of the important issues that this product wants to solve. Summary of the invention
[0010] The technical problem to be solved by the present invention is to provide a contact lens for the deficiencies of the prior art, which can reduce the thickness difference of the lens to achieve comfortable wearing and good rotational positioning performance.
[0011] In order to solve the above technical problems, one of the technical solutions adopted by the present invention is to provide a contact lens. The present invention discloses a contact lens. The contact lens includes a complex curved lens body. The complex curved lens body has a radius extending outward from the center in a radial direction, and the radius and the complex curved lens body form a cross section in the thickness direction, and the area A of the cross section meets the formula (I): A = Pf (θ), wherein θ is an azimuth angle, 0°≤θ≤360°, and f (θ) is a polynomial, 0.5≤P≤7.
[0012] Furthermore, the f(θ) is expressed as: (aθ 4 +bθ 3 +cθ 2 +dθ). Where θ is the azimuth angle, 0°≤θ≤360°, -10 -8 ≤a≤-10 -10 , 10 -8 ≤b≤10 -5 , -10 -1 ≤c≤-10 -5 , 10 -5 ≤d≤10 -1 .
[0013] Furthermore, -10 -8 ≤a≤-10 -9 , 10 -6 ≤b≤10 -5 , -10 -1 ≤c≤-10 -4 , 10 -4 ≤d≤10 -1 .
[0014] Furthermore, the f(θ) is a trigonometric polynomial, and f(θ) is expressed as f(θ)=[k1sin(θ / 2)+k2cos 2 (θ / 2)], where θ is the azimuth angle, 0°≤θ≤360°, -0.2≤k1≤0.5, 0≤k2≤6, and k2 <P。
[0015] Furthermore, the maximum thickness variation rate of the toric lens body in the radial direction is less than 100%.
[0016] Furthermore, the maximum thickness variation rate of the toric lens body in the radial direction is less than 55%.
[0017] Furthermore, the ratio of the area of the complex curved lens body when the azimuth angle is 180 degrees to the area of the complex curved lens body when the azimuth angle is 0 degrees is 1.0 to 7.5.
[0018] Furthermore, the ratio of the area of the complex curved lens body when the azimuth angle is 90 degrees to the area of the complex curved lens body when the azimuth angle is 0 degrees is 1.0 to 4.5.
[0019] Furthermore, the ratio of the area of the complex curved lens body when the azimuth angle is 180 degrees to the area of the complex curved lens body when the azimuth angle is 90 degrees is 1.0 to 1.8.
[0020] Furthermore, a curved section is formed by the radius section of the complex curved lens body, and the curved section includes an optical zone section and an annular zone section.
[0021] One of the beneficial effects of the present invention is that the contact lens provided by the present invention can achieve a contact lens that takes into account both wearing comfort and rotational positioning through the technical solutions of "the area A of the cross section conforms to the formula (I): A = Pf(θ)" and "θ is the azimuth angle, 0°≤θ≤360°, 0.5≤P≤7, f(θ) is a polynomial".
[0022] To further understand the features and technical contents of the present invention, please refer to the following detailed description and drawings of the present invention. However, the drawings provided are only for reference and description and are not intended to limit the present invention. BRIEF DESCRIPTION OF THE DRAWINGS
[0023] Figure 1 It is a three-dimensional schematic diagram of a contact lens of the present invention.
[0024] Figure 2 for Figure 1 A three-dimensional schematic diagram of one of the curved cross-sections of the contact lens.
[0025] Figure 3 for Figure 2 Enlarged schematic diagram of the middle arc section.
[0026] Figure 4 It is a schematic top view of the contact lens of the present invention.
[0027] Figure 5 Graph showing the relationship between the area of the arc-shaped section and the azimuth angle in Example 1.
[0028] Figure 6 This is a schematic diagram of a radial cross section with an azimuth angle of 0 degrees in Example 1.
[0029] Figure 7 It is a schematic diagram of a radial cross section with an azimuth angle of 90 degrees in Example 1.
[0030] Figure 8 It is a schematic diagram of a radial cross section with an azimuth angle of 180 degrees in Example 1. DETAILED DESCRIPTION
[0031] The following is a specific embodiment to illustrate the specific implementation of the "contact lens" disclosed in the present invention. Those skilled in the art can understand the advantages and effects of the present invention from the contents disclosed in this specification. The present invention can be implemented or applied through other different specific embodiments, and the details in this specification can also be modified and changed in various ways based on different viewpoints and applications without deviating from the concept of the present invention. In addition, the drawings of the present invention are only simple schematic illustrations and are not depicted according to actual dimensions. It is stated in advance. The following specific implementation methods will further explain the relevant technical content of the present invention in detail, but the disclosed contents are not intended to limit the scope of protection of the present invention. In addition, the term "or" used in this article may include any one or more combinations of the associated listed items depending on the actual situation.
[0032] In order to overcome the problems in the prior art, the present invention provides a contact lens with good positioning performance and low thickness drop. Different from the previous design method that only considers the influence of the thickness of the annular zone on the positioning effect, the present invention is designed according to the area formed by the radial section of the contact lens. The area formed by the radial section covers both the annular zone and the optical zone of the contact lens. Therefore, in the design process, the positioning performance of the contact lens in the annular zone and the thickness drop at the junction of the annular zone and the optical zone can be considered at the same time.
[0033] See also Figure 1 As shown, the contact lens of the present invention comprises a toric lens body 1. For the convenience of description, the toric lens body 1 is divided into an optical zone 10 and an annular zone 20. However, in fact, the optical zone 10 and the annular zone 20 are formed in one piece without a clear boundary.
[0034] Specifically, the optical zone 10 is located in the central area of the toric lens body 1, and the area of the optical zone 10 corresponds to the size of the pupil. The annular zone 20 surrounds the optical zone 10, and the optical zone 10 and the annular zone 20 are concentrically arranged.
[0035] See also Figure 2 As shown, the outer surface S1 of the toric lens body 1 has a center O, and the toric lens body 1 has a radius extending outward from the center O in a radial direction. The radius is related to the toric lens body 1 in a thickness direction (i.e. Figure 2 A cross section is formed in the z-axis direction).
[0036] Specifically, the cross section is an arc cross section. The arc cross section is an area formed by the first curve C1, the second curve C2 and the central cross section line H. The radius intersects the outer surface S1 of the complex curved lens body 1 at the first curve C1, the radius intersects the inner surface S2 of the complex curved lens body 1 at the second curve C2, and the central cross section line H is formed by extending from the center O along the z-axis.
[0037] See also Figure 3 As shown, Figure 3 for Figure 2 The enlarged schematic diagram of the arc section in the figure. The arc section covers both the optical zone 10 and the annular zone 20. Therefore, the arc section includes an optical zone section A1 and an annular zone section A2. Specifically, the radius forms the optical zone section A1 in the optical zone 10 section along the thickness direction (z-axis direction), and forms the annular zone section A2 in the annular zone 20 section.
[0038] As the azimuth angle θ changes, the complex curved lens body 1 has different radii. In the present invention, the area A of the arc section at different azimuth angles θ meets the formula (I): A=Pf(θ). Specifically, the area A at different azimuth angles θ presents a curve similar to a parabola.
[0039] In formula (I), θ is the azimuth angle, f(θ) is a polynomial, 0°≤θ≤360°, 0.5≤P≤7. In addition, the area A of the arc section in formula (I) is the sum of the areas of the optical zone section A1 and the annular zone section A2.
[0040] In an exemplary embodiment, f(θ) can be expressed as: (aθ 4 +bθ 3 +cθ 2 +dθ). Therefore, the area A of the arc section at different azimuth angles θ conforms to formula (II): A = P - (aθ 4 +bθ 3 +cθ 2 +dθ).
[0041] In formula (II), θ is the azimuth angle, 0°≤θ≤360°, -10 -8 ≤a≤-10 -10 , 10 -8 ≤b≤10 -5 , -10 -1 ≤c≤-10 -5 , 10 -5 ≤d≤10 -1 .
[0042] By adjusting the parameters "P", "a", "b", "c" and "d", different formulas (II) can be obtained, and then the area of the arc section at different azimuth angles can be obtained through formula (II), and the area of the annular section A2 can be designed accordingly.
[0043] In a preferred embodiment, in formula (II), -10 -8 ≤a≤-10 -9 , 10 -6 ≤b≤10 -5 , -10 -1 ≤c≤-10 -4 , 10 -4 ≤d≤10 -1 .
[0044] Furthermore, the polynomial of f(θ) can be a trigonometric polynomial. Experiments have shown that designing the cross-sectional area of a complex curved lens body according to a trigonometric polynomial makes it easier to obtain a contact lens that takes into account both wearing comfort and rotational positioning properties.
[0045] In an exemplary embodiment, f(θ) can be expressed as: [k1sin(θ / 2)+k2cos 2 (θ / 2)]. Therefore, the area A of the arc section at different azimuth angles θ conforms to the formula (III): A = P-[k1sin(θ / 2)+k2cos 2 (θ / 2)].
[0046] In formula (III), θ is the azimuth angle, 0°≤θ≤360°, 0.5≤P≤7, -0.2≤k1≤0.5, 0≤k2≤6, and k2 <P。
[0047] By adjusting the parameters "P", "k1" and "k2", different formulas (III) are obtained, and then the area of the arc section under different azimuth angles is obtained through formula (III), and the area of the annular section A2 is designed accordingly. The specific design method will be described in Example 1.
[0048] In a preferred embodiment, in formula (III), 0.5≤P≤7.
[0049] In formula (III), the maximum area of the arc section in the complex curved lens body 1 is adjusted according to "P-k1", and the minimum area of the arc section in the complex curved lens body 1 is adjusted according to "P-k2". When "k1" is larger, the area of the arc section changes more with the azimuth. "k2" can fine-tune the area difference between adjacent arc sections, making the overall appearance of the complex curved lens body 1 smoother and flatter.
[0050] It can be seen from formula (II) and formula (III) that when the azimuth angle θ is 0°, the arc section has the smallest area. When the azimuth angle θ is 180°, the arc section has the largest area. The area when the azimuth angle θ is 90° is the same as the area when the azimuth angle θ is 270°. It can be seen that the complex curved lens body 1 of the present invention is a ballast contact lens.
[0051] Please refer to Figure 3 As shown, after the optical zone section A1 is integrated along the azimuth direction, the optical zone 10 of the toric lens body 1 can be obtained. Therefore, after obtaining a patient's optometry data, the area of the optical zone section A1 at different azimuth angles θ is designed according to the optometry data, and then the structure of the optical zone 10 is obtained by integrating the optical zone section A1.
[0052] Similarly, after the annular zone section A2 is integrated along the azimuth direction, the annular zone 20 of the complex curved lens body 1 can be obtained. The difference is that before designing the area of the annular zone section A2, the area of the arc section at each azimuth angle θ needs to be calculated by formula (III). After deducting the area of the optical zone section A1 from the area, the area of the annular zone section A2 can be obtained. After the annular zone section A2 is integrated, the structure of the annular zone 20 can be obtained.
[0053] From the above, it can be seen that the present invention designs the structure of the toric lens body 1 by adjusting the area of the arc-shaped cross-section, while taking into account the influence of the optical zone 10 and the annular zone 20 on the structure of the overall toric lens body 1. Therefore, the thickness difference of the toric lens body at the junction of the optical zone 10 and the annular zone 20 can be reduced.
[0054] See also Figure 4 As shown, Figure 4 for Figure 2 For the convenience of explanation, the azimuth angle θ of 0° is defined as the top of the toric lens body, and the azimuth angle θ of 180° is defined as the bottom of the toric lens body.
[0055] Generally speaking, the thickness difference tends to occur at the boundaries B1 and B2 between the optical zone 10 and the annular zone 20. For vertical weighted contact lenses, the thickness of the upper portion of the toric lens body 1 is thinner, and the thickness of the lower portion of the toric lens body 1 is thicker.
[0056] Therefore, when the astigmatism degree is high, the lens thickness of the optical zone 10 is thicker, so the thickness drop is likely to occur at the junction B1 above the toric lens body 1 (where the azimuth angle θ is 0°). When the astigmatism degree is low, the lens thickness of the optical zone 10 is thinner. Therefore, the thickness drop is likely to occur at the junction B2 below the toric lens body 1 (where the azimuth angle θ is 180°).
[0057] Example 1
[0058] In Example 1, the parameters P = 2.5, k1 = 0.5, k2 = 2 are substituted into formula (III) to obtain: 2.5-[0.5sin(θ / 2)+2cos 2 (θ / 2)].
[0059] In the step of designing a contact lens, the toric lens body 1 is first divided into an optical zone 10 and an annular zone 20 (eg, Figure 1 The toric lens body 1 has a radius extending from the center O along different azimuth angles θ, and the toric lens body 1 forms an arc section along the thickness of the radius. The arc section is composed of the optical zone section A1 and the annular zone section A2.
[0060] In Example 1, the area of the optical zone section A1 is designed based on the optometry data with an astigmatism degree of 0 degree. By calculating the formula (III), the area (design data) of the arc section at different azimuth angles can be obtained. The obtained area is plotted against the azimuth angle, as shown in FIG. Figure 5 As shown. Figure 5 It can be seen that the complex curved lens body 1 of Example 1 is a ballast contact lens.
[0061] The area of the annular section A2 is designed by combining the optometry data and the design data. Since the arc section is composed of the optical section A1 and the annular section A2, the area obtained by deducting the area of the optical section A1 from the area obtained by formula (III) is the area of the annular section A2.
[0062] After the optical zone section A1 and the annular zone section A2 at each azimuth angle θ are designed, the optical zone section A1 and the annular zone section A2 are combined to form an arc section, and then integrated along the azimuth direction to obtain the complex curved lens body 1 of Example 1.
[0063] It should be particularly noted that the above content is only used to illustrate one method of designing the complex curved lens body 1, and is not intended to limit the content of the present invention.
[0064] Please refer to the combined Figures 6 to 8 , Figures 6 to 8 The following are schematic diagrams of arc-shaped cross-sections of the complex curved lens body 1 at azimuth angles of 0°, 90°, and 180°. Figures 6 to 8 It can be found that as the azimuth angle θ increases, the area of the optical zone cross section A1 increases only slightly, while the area of the annular zone cross section A2 increases significantly. However, in terms of the overall structure, the complex curved lens body 1 can still have a smooth and flat appearance.
[0065] Please refer to Table 1, which lists the areas of the arc-shaped sections and the standardized relative values of the areas when the azimuth angles are 0°, 90° and 180°.
[0066] Table 1
[0067] Azimuth 0° 90° 180° Area of the curved section <![CDATA[0.50mm 2 ]]> <![CDATA[1.15mm 2 ]]> <![CDATA[2.00mm 2 ]]> Normalized relative area value 1.00 2.30 4.00
[0068] For the junction B1 (azimuth angle θ is 0°) and the junction B2 (azimuth angle θ is 180°), the thickness of the toric lens body 1 at the edge of the optical zone 10 and the edge of the annular zone 20 is measured, and the thickness drop and the thickness drop ratio are calculated. The thickness drop ratio is obtained by dividing the thickness drop of the optical zone 10 and the annular zone 20 at the junctions B1 and B2 by the percentage of the thickness of the edge of the optical zone 10. The specific thickness, thickness drop and thickness drop ratio of the junction B1 and the junction B2 in Example 1 are listed in Table 2.
[0069] Table 2
[0070]
[0071] According to the results in Table 2, the toric lens body 1 of the present invention has a relatively low thickness variation rate of less than 150% at the junctions B1 and B2 of the optical zone 10 and the annular zone 20, which is lower than the thickness variation rate of the lens in the prior art (15% to 200%). Therefore, the present invention considers the areas of the optical zone 10 and the annular zone 20 at the same time, so that the toric lens body 1 can have a good positioning effect and wearing comfort.
[0072] Preferably, the boundary B1 and B2 between the optical zone 10 and the annular zone 20 have a lower thickness variation rate of less than 150%. More preferably, the boundary B1 and B2 between the optical zone 10 and the annular zone 20 have a lower thickness variation rate of less than 100%. More preferably, the boundary B1 and B2 between the optical zone 10 and the annular zone 20 have a lower thickness variation rate of less than 50%, or even less than 25%.
[0073] Substituting the parameters "P", "k1" and "k2" in Example 1 into formula (III), the area (A) of the arc section when the azimuth angle θ is 0°, 90° and 180° is calculated. θ=0° , A θ=90° , A θ=180° ), and the results are listed in Table 4. The area when the azimuth angle θ is 270° is the same as the area when the azimuth angle θ is 90°, so they are not repeated.
[0074] In addition, the ratio of the area of the arc section when the azimuth angle θ is 180° to the area of the arc section when the azimuth angle θ is 0° (A θ=180° / A θ=0° ), calculate the ratio of the area of the arc section when the azimuth angle θ is 90° to the area of the arc section when the azimuth angle θ is 0° (A θ=90° / A θ=0°), calculate the ratio of the area of the arc section when the azimuth angle θ is 180° to the area of the arc section when the azimuth angle θ is 90° (A θ=180° / A θ=90° ). The calculation results are listed in Table 4.
[0075] Example 2
[0076] The toric lens body 1 of Example 2 is similar to the toric lens body 1 of Example 1, except that the area of the optical zone cross section A1 is designed based on optometry data with an astigmatism degree of 700 degrees.
[0077] By calculating the formula (III), the area (design data) of the arc section at different azimuth angles can be obtained. Combining the optometry data with the design data, the area design of the annular section A2 can be calculated.
[0078] After the optical zone section A1 and the annular zone section A2 are designed, the optical zone section A1 and the annular zone section A2 are combined into an arc section, and then integrated along the azimuth direction to obtain the complex curved lens body 1 of Example 2.
[0079] Next, the thickness of the complex curved lens body 1 at the junction B1 (azimuth angle θ is 0°) and the junction B2 (azimuth angle θ is 180°) is measured, and the thickness drop and thickness change rate are calculated. The specific thickness, thickness drop and thickness drop ratio of the junction B1 and the junction B2 in Example 2 are listed in Table 3.
[0080] Table 3
[0081]
[0082] According to the results in Table 3, even for a toric lens body 1 with a high degree of astigmatism (e.g., 700 degrees), the thickness variation rate of B1 and B2 at the junction of the optical zone 10 and the annular zone 20 can be less than 100%, which is lower than the thickness variation rate of the lens in the prior art (20% to 110%). Therefore, the present invention considers the area of both the optical zone 10 and the annular zone 20, so that the toric lens body 1 can have a good positioning effect and wearing comfort.
[0083] Preferably, the thickness variation rate of B1 and B2 at the boundary between the optical zone 10 and the annular zone 20 may be less than 75%, and more preferably, the thickness variation rate of B1 and B2 at the boundary between the optical zone 10 and the annular zone 20 may be less than 55%.
[0084] Examples 3 to 9
[0085] The toric lens bodies 1 of Examples 3 to 9 are similar to the toric lens body 1 of Example 1, except that different parameters "P", "k1" and "k2" are substituted into Formula (III). Therefore, Examples 3 to 9 have different areas (design data) of the arc sections.
[0086] In Examples 3 to 9, different parameters "P", "k1" and "k2" are selected and substituted into Formula (I), and the area (A) of the arc section when the azimuth angle θ is 0°, 90° and 180° is calculated. θ=0° , A θ=90° , A θ=180° ), and the calculation results are listed in Table 4. The area when the azimuth angle θ is 270° is the same as the area when the azimuth angle θ is 90°, so they are not repeated.
[0087] In addition, the ratio of the area of the arc section when the azimuth angle θ is 180° to the area of the arc section when the azimuth angle θ is 0° (A θ=180° / A θ=0° ), calculate the ratio of the area of the arc section when the azimuth angle θ is 90° to the area of the arc section when the azimuth angle θ is 0° (A θ=90° / A θ=0° ), calculate the ratio of the area of the arc section when the azimuth angle θ is 180° to the area of the arc section when the azimuth angle θ is 90° (A θ=180° / A θ=90° ). The calculation results are listed in Table 4.
[0088] Table 4
[0089]
[0090] From the results in Table 3, it can be seen that the area of the arc section at an azimuth angle of 180 degrees is 1.0 to 7.5 times the area at an azimuth angle of 0 degrees. The area of the arc section at an azimuth angle of 90 degrees is 1.0 to 4.5 times the area at an azimuth angle of 0 degrees. The area of the arc section at an azimuth angle of 180 degrees is 1.0 to 1.8 times the area at an azimuth angle of 90 degrees.
[0091] Examples 10 to 12
[0092] The toric lens bodies 1 of Examples 10 to 12 are similar to the toric lens body 1 of Example 1, except that different parameters "P", "a", "b", "c" and "d" are selected and substituted into Formula (II). Therefore, Examples 10 to 12 have different areas (design data) of the arc-shaped cross-sections.
[0093] In Examples 10 to 12, different parameters "P", "a", "b", "c" and "d" are selected and substituted into Formula (II), and the area (A) of the arc section when the azimuth angle θ is 0°, 90° and 180° is calculated. θ=0° , A θ=90° , A θ=180° ), and the calculation results are listed in Table 5.
[0094] In addition, the ratio of the area of the arc section when the azimuth angle θ is 180° to the area of the arc section when the azimuth angle θ is 0° (A θ=180° / A θ=0° ), calculate the ratio of the area of the arc section when the azimuth angle θ is 90° to the area of the arc section when the azimuth angle θ is 0° (A θ=90° / A θ=0° ), calculate the ratio of the area of the arc section when the azimuth angle θ is 180° to the area of the arc section when the azimuth angle θ is 90° (A θ=180° / A θ=90° ), and the calculation results are listed in Table 5.
[0095] Table 5
[0096]
[0097] From the results in Table 5, it can be seen that the area of the arc section at an azimuth angle of 180 degrees is 1.0 to 7.5 times the area at an azimuth angle of 0 degrees. The area of the arc section at an azimuth angle of 90 degrees is 1.0 to 4.5 times the area at an azimuth angle of 0 degrees. The area of the arc section at an azimuth angle of 180 degrees is 1.0 to 1.8 times the area at an azimuth angle of 90 degrees.
[0098] Advantageous Effects of Embodiments
[0099] One of the beneficial effects of the present invention is that the contact lens provided by the present invention can achieve a contact lens that takes into account both wearing comfort and rotational positioning through the technical solutions of "the area A of the cross section conforms to the formula (I): A = Pf(θ)" and "θ is the azimuth angle, 0°≤θ≤360°, 0.5≤P≤7, f(θ) is a polynomial".
[0100] Furthermore, the present invention uses a polynomial to optimize the cross-sectional area A=Pf(θ) of the complex curved lens body. Different contact lenses can be obtained by using different polynomials f(θ) (e.g., formula (II) or formula (III)). After experiments, it was found that the cross-sectional area of the complex curved lens body designed by using a trigonometric polynomial (e.g., formula (III)) can obtain a contact lens that meets the requirements.
[0101] Furthermore, the arc-shaped section formed by the toric lens body after the radius section includes an optical zone section and an annular zone section. Therefore, the manufacturing method of the contact lens provided by the present invention can selectively design the area of the optical zone section first, and then calculate the area of the annular zone section according to formula (I). Alternatively, the area of the annular zone section can be designed first, and then the area of the optical zone section can be calculated according to formula (I). In this way, different from the previous design that only considers the positioning effect, a contact lens that takes into account the positioning effect and is comfortable to wear can be manufactured.
[0102] The contents disclosed above are only preferred feasible embodiments of the present invention, and are not intended to limit the protection scope of the claims of the present invention. Therefore, all equivalent technical changes made using the contents of the present invention description and drawings are included in the protection scope of the claims of the present invention.
Claims
1. A contact lens comprising a complex curved lens body, characterized in that: The complex curved lens body has a radius extending outward from the center in a radial direction, and the radius and the complex curved lens body form a cross-section in a thickness direction. The area A of the cross-section conforms to formula (I): A=Pf(θ), where θ is the azimuth angle, 0°≤θ≤360°, 0.5≤P≤7, and f(θ) is a polynomial.
2. The contact lens according to claim 1, characterized in that The f(θ) is expressed as: (aθ 4 +bθ 3 +cθ 2 +dθ); where θ is the azimuth angle, 0°≤θ≤360°, -10 -8 ≤a≤-10 -10 , 10 -8 ≤b≤10 -5 , -10 -1 ≤c≤-10 -5 , 10 -5 ≤d≤10 -1 .
3. The contact lens according to claim 2, characterized in that -10 -8 ≤a≤-10 -9 ,10 -6 ≤b≤10 -5 ,-10 -1 ≤c≤-10 -4 ,10 -4 ≤d≤10 -1 。 4. The contact lens according to claim 1, characterized in that The f(θ) is a trigonometric polynomial, and is expressed as: [k1sin(θ / 2)+k2cos 2 (θ / 2)]; where θ is the azimuth angle, 0°≤θ≤360°, -0.2≤k1≤0.5, 0≤k2≤6, and k2 <P。 5. The contact lens according to claim 1, characterized in that The maximum thickness variation rate of the toric lens body in the radial direction is less than 100%.
6. The contact lens according to claim 5, characterized in that The maximum thickness variation rate of the complex curved lens body in the radial direction is less than 55%.
7. The contact lens according to claim 1, characterized in that The ratio of the cross-sectional area of the complex curved lens body when the azimuth angle is 180 degrees to the cross-sectional area of the complex curved lens body when the azimuth angle is 0 degrees is 1.0 to 7.
5.
8. The contact lens according to claim 1, characterized in that The ratio of the cross-sectional area of the complex curved lens body when the azimuth angle is 90 degrees to the cross-sectional area of the complex curved lens body when the azimuth angle is 0 degrees is 1.0 to 4.
5.
9. The contact lens according to claim 1, characterized in that The ratio of the cross-sectional area of the complex curved lens body when the azimuth angle is 180 degrees to the cross-sectional area of the lens body when the azimuth angle is 90 degrees is 1.0 to 1.
8.
10. The contact lens according to claim 1, characterized in that The cross section of the complex curved lens body includes an optical zone cross section and an annular zone cross section.