Optical imaging lens
By optimizing the distance between the air interval between the third, fourth, and fifth lenses and the interval part of the interval part, the optical imaging lens has the mixed light problem at the fourth lens and the fifth transparent mirror, and improves the quality of imaging.
Patent Information
- Application Number
- CN202421004507.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-05-10
- Publication Date
- 2025-01-28
- Estimated Expiration
- 2034-05-10
AI Technical Summary
The large angle refraction of the existing optical imaging lens at the fourth and fifth lenses causes a problem of light and affects the imaging quality.
By optimizing the distance between the air interval between the third, fourth, and fifth lenses, the interval between the interval between the interval parts is optimized to meet the 0.7
Effectively reduce the light generated by the light after the light is folded after the fourth lens, and improves the imaging quality of the optical imaging lens.
Smart Images

Figure CN222420640U_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of optical devices, and particularly to an optical imaging lens including eight lenses. Background Art
[0002] With the rapid development of portable devices such as smart phones, more new requirements are put forward for the imaging functions of portable devices such as smart phones. For example, the optical imaging lenses of portable devices such as smart phones need to meet the requirements of a large image plane.
[0003] In order to achieve a large image plane, the optical imaging lens is designed in the structure of an eight-piece lens. However, light is prone to large-angle refraction at the fourth lens and the fifth lens, and the light is easily refracted into the structural area of the lens, which may cause stray light problems when the light is refracted back, thus affecting the imaging quality of the optical imaging. Summary of the Utility Model
[0004] This application provides an optical imaging lens that can at least solve or partially solve at least one problem or other problems existing in the prior art.
[0005] One aspect of this application provides such an optical imaging lens, which includes an optical lens group and a spacer group. The optical lens group sequentially includes a first lens with a negative optical power, a second lens with a positive optical power, a third lens with a positive optical power, a fourth lens with a negative optical power, a fifth lens with a positive optical power, a sixth lens with a positive optical power, a seventh lens with an optical power, and an eighth lens with a negative optical power from the object side to the image side along the optical axis. The spacer group includes a third spacer, a fourth spacer, and a fifth spacer. The third spacer is placed on the image side surface of the third lens and contacts the image side surface of the third lens. The fourth spacer is placed on the image side surface of the fourth lens and contacts the image side surface of the fourth lens. The fifth spacer is placed on the image side surface of the fifth lens and contacts the image side surface of the fifth lens. Among them, the number of lenses with optical power in the optical imaging lens is eight. The total effective focal length f of the optical imaging lens and half of the maximum field of view Semi-FOV of the optical imaging lens satisfy: 6.0mm < f × tan(Semi-FOV) < 7.0mm; the combined focal length f45 of the fourth lens and the fifth lens, the inner diameter d4m of the image side surface of the fourth spacer, and the inner diameter d5s of the object side surface of the fifth spacer satisfy: -1.7 < f45 / (d4m + d5s) < -1.0; and the air gap T34 between the third lens and the fourth lens on the optical axis, the air gap T45 between the fourth lens and the fifth lens on the optical axis, and the interval distance EP34 between the third spacer and the fourth spacer along the optical axis satisfy: 0.7 < EP34 / (T34 + T45) < 1.4.
[0006] According to an exemplary embodiment of the present application, the optical imaging lens further includes a reflective element and a lens barrel assembly. The reflective element is disposed between the first lens and the second lens, and is configured to receive light emitted from the first lens along the direction of the first optical axis, and reflect the light and emit it into the second lens along the direction of the second optical axis, wherein the first optical axis is perpendicular to the second optical axis. The lens barrel assembly includes a first lens barrel and a second lens barrel, wherein the first lens is disposed in the first lens barrel, and the second lens to the eighth lens and the spacer group are disposed in the second lens barrel.
[0007] According to an exemplary embodiment of the present application, the effective semi-aperture DT12 of the image side surface of the first lens, the distance PR from the exit surface of the reflective element to the second lens on the optical axis, and the maximum length L2 of the second lens barrel along the optical axis satisfy: 0.4<(DT12+PR) / L2<0.7.
[0008] According to an exemplary embodiment of the present application, the spacer group further includes a sixth spacer disposed on the image side of the sixth lens and in contact with the image side of the sixth lens, and a seventh spacer disposed on the image side of the seventh lens and in contact with the image side of the seventh lens. Wherein, the air gap T78 between the seventh lens and the eighth lens on the optical axis, the spacing distance EP67 between the sixth spacer and the seventh spacer along the optical axis, and the spacing distance EP70 between the seventh spacer and the image side end surface of the second lens barrel along the optical axis satisfy: 2.3<(EP67+EP70) / T78<3.2.
[0009] According to an exemplary embodiment of the present application, the inner diameter d7s of the object-side surface of the seventh spacer and the outer diameter D7s of the object-side surface of the seventh spacer satisfy: 1.1 <D7s / d7s<1.8。
[0010] According to an exemplary embodiment of the present application, the spacer group further includes a seventh spacer disposed on the image side of the seventh lens and in contact with the image side of the seventh lens. The spacing distance EP70 between the image side end surface of the seventh spacer and the second lens barrel along the optical axis and the center thickness CT8 of the eighth lens on the optical axis satisfy: 2.0 <EP70 / CT8<2.7。
[0011] According to an exemplary embodiment of the present application, the spacer group further includes a seventh spacer disposed on the image side of the seventh lens and in contact with the image side of the seventh lens. The spacing distance EP70 between the image side end surface of the seventh spacer and the second lens barrel along the optical axis and the distance YC82 from the inflection point closest to the optical axis on the image side of the eighth lens to the optical axis satisfy: 0.7 <YC82 / EP70<1.2。
[0012] According to an exemplary embodiment of the present application, the spacer group further includes a seventh spacer disposed on the image side of the seventh lens and in contact with the image side of the seventh lens, and a seventh auxiliary spacer disposed on the image side of the seventh spacer and in contact with the image side of the seventh spacer. Wherein, the center thickness CT7 of the seventh lens on the optical axis, the center thickness CT8 of the eighth lens on the optical axis, and the maximum thickness CP7b of the seventh auxiliary spacer satisfy: 1.5<(CT7+CT8) / CP7b<2.4.
[0013] According to an exemplary embodiment of the present application, the sum of the maximum thickness of all spacers in the air space T78 between the seventh lens and the eighth lens on the optical axis and ΣCP7 between the seventh lens and the eighth lens satisfies: 0.8 <T78 / ∑CP7<1.9。
[0014] According to an exemplary embodiment of the present application, the spacer group further includes a sixth spacer disposed on the image side surface of the sixth lens and in contact with the image side surface of the sixth lens. The curvature radius R8 of the image side surface of the fourth lens, the curvature radius R9 of the object side surface of the fifth lens, and the curvature radius R10 of the image side surface of the fifth lens satisfy: -4.4<(R9+R10) / R8<-2.3; and the spacing distance EP56 between the fifth spacer and the sixth spacer along the optical axis, the center thickness CT4 of the fourth lens on the optical axis, and the center thickness CT5 of the fifth lens on the optical axis satisfy: 0.7 <EP56 / (CT4+CT5)<1.7。
[0015] According to an exemplary embodiment of the present application, the combined focal length f45 of the fourth lens and the fifth lens, the outer diameter D3m of the image side surface of the third spacer, and the outer diameter D4m of the image side surface of the fourth spacer satisfy: -1.1 <f45 / (D3m+D4m)<-0.5。
[0016] According to an exemplary embodiment of the present application, the inner diameter d4m of the image-side surface of the fourth spacer and the outer diameter D5s of the object-side surface of the fifth spacer satisfy the following conditions: 1.7 <D5s / d4m<2.3。
[0017] According to an exemplary embodiment of the present application, the air gap T34 between the third lens and the fourth lens on the optical axis, the air gap T45 between the fourth lens and the fifth lens on the optical axis, the spacing distance EP34 between the third spacer and the fourth spacer along the optical axis, and the spacing distance EP45 between the fourth spacer and the fifth spacer along the optical axis satisfy: 1.1<(EP34+EP45) / (T34+T45)<1.9.
[0018] According to an exemplary embodiment of the present application, the spacer group further includes a second spacer disposed on the image side of the second lens and in contact with the image side of the second lens. Wherein, the radius of curvature R4 of the image side of the second lens and the radius of curvature R5 of the object side of the third lens satisfy: 0.1 < (R4 + R5) / (R4 - R5) < 0.5; and the effective focal length f3 of the third lens, the inner diameter d2s of the object side of the second spacer, and the inner diameter d3s of the object side of the third spacer satisfy: -18.5 < f3 / (d3s - d2s) < -14.0.
[0019] According to an exemplary embodiment of the present application, the spacer group further includes a second spacer disposed on the image side of the second lens and in contact with the image side of the second lens, and a second auxiliary spacer disposed on the image side of the second spacer and in contact with the image side of the second spacer. Wherein, the air gap T23 between the second lens and the third lens on the optical axis and the maximum thickness CP2b of the second auxiliary spacer satisfy: 4.0 < CP2b / T23 < 35.0.
[0020] According to an exemplary embodiment of the present application, the sum ∑CPm of the maximum thicknesses of all spacers in the spacer group with a maximum thickness greater than 0.05 mm satisfies: 2.0 mm < ∑CPm < 4.5 mm.
[0021] The optical imaging lens provided by the present application uses eight lenses. By making it satisfy 6.0 mm < f × tan(Semi - FOV) < 7.0 mm and -1.7 < f45 / (d4m + d5s) < -1.0, a large image plane of the optical imaging lens can be achieved, and the assembly stability of the optical imaging lens can be improved. However, in this case, light is prone to large - angle refraction at the fourth lens and the fifth lens, and the thickness of the fourth lens in the off - axis direction is relatively large, which will cause stray light problems when light is refracted and reflected. Therefore, by controlling the relationship between the air gaps between adjacent two lenses among the third, fourth, and fifth lenses and the spacer distances between the third spacer and the fourth spacer, and making it satisfy 0.7 < EP34 / (T34 + T45) < 1.4, it is beneficial to reduce the stray light generated when light is refracted and reflected after passing through the fourth lens, and improve the imaging quality of the optical imaging lens. Description of the Drawings
[0022] Other features, objects, and advantages of the present application will become more apparent by reading the following detailed description of non - restrictive embodiments with reference to the accompanying drawings. Among them:
[0023] Figures 1A to 1C Separate views show parameter annotation diagrams of the optical imaging lens according to the present application;
[0024] Figure 2AThe light spot diagram when the optical imaging lens satisfies f×tan(Semi-FOV)=6.84mm, f45 / (d4m+d5s)=-1.38, EP34 / (T34+T45)=1.34 is shown;
[0025] Figure 2B The ray diagram when the optical imaging lens satisfies f×tan(Semi-FOV)=6.84mm, f45 / (d4m+d5s)=-1.38, EP34 / (T34+T45)=1.34 is shown;
[0026] Figure 2C The light spot diagram when the optical imaging lens satisfies f×tan(Semi-FOV)=6.84mm, f45 / (d4m+d5s)=-1.21, EP34 / (T34+T45)=0.63 is shown;
[0027] Figure 2D The ray diagram when the optical imaging lens satisfies f×tan(Semi-FOV)=6.84mm, f45 / (d4m+d5s)=-1.21, EP34 / (T34+T45)=0.63 is shown;
[0028] Figure 2E The light spot diagram when the optical imaging lens satisfies f×tan(Semi-FOV)=6.84mm, f45 / (d4m+d5s)=-1.63, EP34 / (T34+T45)=2.01 is shown;
[0029] Figure 2F The ray diagram when the optical imaging lens satisfies f×tan(Semi-FOV)=6.84mm, f45 / (d4m+d5s)=-1.63, EP34 / (T34+T45)=2.01 is shown;
[0030] Figure 3 A schematic structural diagram of an optical imaging lens according to Embodiment 1 of the present application is shown;
[0031] Figure 4 A schematic structural diagram of an optical imaging lens according to Embodiment 2 of the present application is shown;
[0032] FIG. 5A to FIG. 5D The axial chromatic aberration curve, astigmatism curve, distortion curve and magnification chromatic aberration curve of the optical imaging lens of Example 1 or 2 of the present application are respectively shown;
[0033] Figure 6 A schematic structural diagram of an optical imaging lens according to Embodiment 3 of the present application is shown;
[0034] Figure 7A schematic structural diagram of an optical imaging lens according to Embodiment 4 of the present application is shown;
[0035] FIG. 8A to FIG. 8D The axial chromatic aberration curve, astigmatism curve, distortion curve and magnification chromatic aberration curve of the optical imaging lens of Example 3 or 4 of the present application are respectively shown;
[0036] Fig. 9 A schematic structural diagram of an optical imaging lens according to Embodiment 5 of the present application is shown;
[0037] Fig.10 A schematic structural diagram of an optical imaging lens according to Embodiment 6 of the present application is shown;
[0038] FIG. 11A to FIG. 11D The axial chromatic aberration curve, astigmatism curve, distortion curve and magnification chromatic aberration curve of the optical imaging lens of Example 5 or 6 of the present application are respectively shown;
[0039] Fig.12 A schematic structural diagram of an optical imaging lens according to Embodiment 7 of the present application is shown;
[0040] Fig.13 shows a schematic structural diagram of an optical imaging lens according to Embodiment 8 of the present application; and
[0041] FIG. 14A to FIG. 14D The axial chromatic aberration curve, astigmatism curve, distortion curve and magnification chromatic aberration curve of the optical imaging lens of Example 7 or 8 of the present application are respectively shown. DETAILED DESCRIPTION
[0042] In order to better understand the present application, a more detailed description will be made of various aspects of the present application with reference to the accompanying drawings. It should be understood that these detailed descriptions are only descriptions of exemplary embodiments of the present application, and do not limit the scope of the present application in any way. Throughout the specification, the same figure numerals refer to the same elements.
[0043] It should be noted that in this specification, the expressions of first, second, third, etc. are only used to distinguish one feature from another feature, and do not represent any limitation on the features. Therefore, without departing from the teaching of the present application, the first lens discussed below may also be referred to as the second lens or the third lens.
[0044] In the drawings, the thickness, size and shape of the lenses have been slightly exaggerated for ease of illustration. Specifically, the shapes of the spherical or aspherical surfaces shown in the drawings are shown by way of example. That is, the shapes of the spherical or aspherical surfaces are not limited to the shapes of the spherical or aspherical surfaces shown in the drawings. The drawings are for illustration only and are not drawn strictly to scale.
[0045] In this article, the paraxial region refers to the region near the optical axis. If the lens surface is convex and the position of the convex surface is not defined, it means that the lens surface is convex at least in the paraxial region; if the lens surface is concave and the position of the concave surface is not defined, it means that the lens surface is concave at least in the paraxial region. The surface of each lens closest to the object is called the object side of the lens, and the surface of each lens closest to the image plane is called the image side of the lens.
[0046] It should also be understood that the terms "including" and / or "having", when used in this specification, indicate the presence of the stated features, elements and / or components, but do not exclude the presence or addition of one or more other features, elements, components and / or combinations thereof. In addition, when describing the embodiments of the present application, the term "may" is used to mean "one or more embodiments of the present application". And, the term "exemplary" is intended to refer to an example or illustration.
[0047] Unless otherwise defined, all terms (including technical terms and scientific terms) used in this article have the same meaning as those commonly understood by ordinary technicians in the field to which this application belongs. It should also be understood that terms (such as terms defined in commonly used dictionaries) should be interpreted as having the same meaning as their meaning in the context of the relevant technology, and will not be interpreted in an idealized or overly formal sense unless explicitly defined in this article.
[0048] It should be noted that, in the absence of conflict, the embodiments and features in the embodiments of the present application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.
[0049] refer to Figure 3 , Figure 4 , Figure 6 , Figure 7 , Fig. 9 , Fig.10 , Fig.12 and Fig.13 In a first aspect of the present application, an optical imaging lens is provided. The optical imaging lens may include an optical lens group. The optical lens group may include a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, and an eighth lens in order from the object side to the image side along the optical axis. An air gap may be provided between adjacent two lenses of the first lens to the eighth lens. The number of lenses having optical power in the optical imaging lens is eight.
[0050] In an exemplary embodiment, the optical imaging lens may further include a reflective element. The reflective element is arranged at any desired angle to bend the light path. The reflective element may be arranged to deflect the incident light path by a preset degree (for example, but not limited to 90°), for example, the incident light path is transformed from propagating along a first optical axis (for example, the Y axis) to propagating along a second optical axis (for example, the X axis).
[0051] In an exemplary embodiment, the reflective element may be disposed between the first lens and the second lens. The optical axis may include a first optical axis and a second optical axis. The reflective element is configured to receive light emitted from the first lens along the direction of the first optical axis, and reflect the light and emit it into the second lens along the direction of the second optical axis.
[0052] In an exemplary embodiment, the reflective element may be a reflective prism. The reflective prism has an incident surface, a reflective surface, and an exit surface. Light emitted from the first lens enters the reflective prism via the incident surface in the direction of the first optical axis, and is totally reflected by the reflective surface toward the exit surface and exits into the second lens in the direction of the second optical axis. The first optical axis and the second optical axis are at a preset angle, for example but not limited to, the first optical axis is perpendicular to the second optical axis. Furthermore, the reflective surface passes through the intersection of the first optical axis and the second optical axis, that is, the reflective surface is located both on the first optical axis and on the second optical axis.
[0053] In example embodiments, the first lens may be located on the first optical axis and disposed between the object side and the reflective element.
[0054] In example embodiments, the second lens, the third lens, the fourth lens, the fifth lens, the sixth lens, the seventh lens, and the eighth lens may be arranged in order from the reflective element to the image side along the second optical axis.
[0055] In an exemplary embodiment, the first lens has negative optical power. The second lens has positive optical power. The third lens has positive optical power. The fourth lens has negative optical power. The fifth lens has positive optical power. The sixth lens has positive optical power. The eighth lens has negative optical power.
[0056] In an exemplary embodiment, the optical imaging lens may further include a stop disposed between the reflective element and the second lens.
[0057] In an exemplary embodiment, the optical imaging lens may further include a spacer group. The spacer group includes one or more of a second spacer, a second auxiliary spacer, a third spacer, a fourth spacer, a fifth spacer, a sixth spacer, a seventh spacer, and a seventh auxiliary spacer. The second spacer may be placed on the image side of the second lens and at least partially in contact with the image side of the second lens. The second auxiliary spacer may be placed on the image side of the second spacer and at least partially in contact with the image side of the second spacer. The third spacer may be placed on the image side of the third lens and at least partially in contact with the image side of the third lens. The fourth spacer may be placed on the image side of the fourth lens and at least partially in contact with the image side of the fourth lens. The fifth spacer may be placed on the image side of the fifth lens and at least partially in contact with the image side of the fifth lens. The sixth spacer may be placed on the image side of the sixth lens and at least partially in contact with the image side of the sixth lens. The seventh spacer may be placed on the image side of the seventh lens and at least partially in contact with the image side of the seventh lens. The seventh auxiliary spacer may be placed on the image side of the seventh spacer and at least partially in contact with the image side of the seventh spacer. Reasonable use of spacers can effectively avoid the risk of stray light, reduce interference with image quality, and thus improve the imaging quality of optical imaging lenses; at the same time, it also ensures the bearing stability of the lens.
[0058] In an exemplary embodiment, the optical imaging lens may further include a lens barrel assembly. The lens barrel assembly may include a first lens barrel and a second lens barrel. The first lens may be placed in the first lens barrel. The second lens to the eighth lens and the spacer group may be placed in the second lens barrel.
[0059] In an exemplary embodiment, when a reflective element is provided between the first lens and the second lens, the optical axis involved in the parameters of the second lens to the eighth lens, the second spacer to the seventh spacer, the reflective element, and the second lens barrel is the second optical axis. For example, Tmn represents the air interval between the m-th lens and the n-th lens on the second optical axis, 2≤m≤7, n=m+1; CTi represents the center thickness of the i-th lens on the second optical axis, 2≤i≤8; EPpq represents the spacing distance between the p-th spacer and the q-th spacer along the second optical axis, 2≤p≤6, q=p+1; YC82 represents the distance from the inflection point closest to the second optical axis in the image side surface of the eighth lens to the second optical axis; EP70 represents the spacing distance between the seventh spacer and the image side end surface of the second lens barrel along the second optical axis; L2 represents the maximum length of the second lens barrel in the direction of the second optical axis; PR represents the distance from the exit surface of the reflective element to the second lens on the second optical axis.
[0060] In an exemplary embodiment, the total effective focal length f of the optical imaging lens and half of the maximum field of view Semi-FOV of the optical imaging lens may satisfy: 6.0 mm < f × tan(Semi-FOV) < 7.0 mm. Reasonably configuring the total effective focal length of the optical imaging lens and half of the maximum field of view is conducive to the optical imaging lens achieving a large image plane.
[0061] In an exemplary embodiment, the combined focal length f45 of the fourth lens and the fifth lens, the inner diameter d4m of the image side of the fourth spacer, and the inner diameter d5s of the object side of the fifth spacer may satisfy: -1.7 < f45 / (d4m + d5s) < -1.0. Reasonably configuring the ratio of the combined focal length of the fourth lens and the fifth lens to the sum of the inner diameters of the image side of the fourth spacer and the object side of the fifth spacer can improve the assembly stability of the optical imaging lens while constraining the combined focal length of the fourth lens and the fifth lens within a certain range.
[0062] In an exemplary embodiment, the air gap T34 between the third lens and the fourth lens on the optical axis, the air gap T45 between the fourth lens and the fifth lens on the optical axis, and the spacer distance EP34 between the third spacer and the fourth spacer along the optical axis may satisfy: 0.7 < EP34 / (T34 + T45) < 1.4. Light is prone to large-angle refraction at the fourth lens and the fifth lens, and the thickness of the fourth lens in the off-axis direction is relatively large, which may cause stray light problems when light is refracted and reflected. Therefore, by controlling the relationship between the air gaps between adjacent two of the third, fourth, and fifth lenses and the spacer distance between the third spacer and the fourth spacer and making it satisfy 0.7 < EP34 / (T34 + T45) < 1.4, it is beneficial to reduce the stray light generated by the refraction and reflection of light after passing through the fourth lens and improve the imaging quality of the optical imaging lens.
[0063] Table 1 shows the maximum energy of the light spots of three optical imaging lenses (for example, lens 1, lens 2, and lens 3). Figure 2A and Figure 2B are the spot diagram and the ray diagram when light enters at an angle of 35° for lens 1 satisfying f × tan(Semi-FOV) = 6.84 mm, f45 / (d4m + d5s) = -1.38, and EP34 / (T34 + T45) = 1.34. Figure 2C and Figure 2D are the spot diagram and the ray diagram when light enters at an angle of 35° for lens 2 satisfying f × tan(Semi-FOV) = 6.84 mm, f45 / (d4m + d5s) = -1.21, and EP34 / (T34 + T45) = 0.63. Figure 2E and Figure 2FSpot diagram and ray diagram when light enters at an angle of 35° when the lens 3 satisfies f×tan(Semi-FOV) = 6.84mm, f45 / (d4m + d5s) = -1.63, and EP34 / (T34 + T45) = 2.01. It should be noted that for the sake of illustration, Figure 2B , Figure 2D and Figure 2E the first lens and the reflecting element are omitted, and the actual structural diagrams of lens 1, lens 2, and lens 3 should be similar to Figure 3 .
[0064]
[0065] Table 1
[0066] From Table 1, Figure 2A , Figure 2C and Figure 2E it can be seen that the maximum energy of lens 1 is 1.26E-08, the maximum energy of lens 2 is 8.94E-07, and the maximum energy of lens 3 is 1.61E-06. Compared with lens 2 and lens 3, the spot of lens 1 is significantly reduced and the energy is significantly decreased. It can be seen that by controlling the optical imaging lens to satisfy 6.0mm < f×tan(Semi-FOV) < 7.0mm, -1.7 < f45 / (d4m + d5s) < -1.0, 0.7 < EP34 / (T34 + T45) < 1.4, stray light can be effectively reduced and the imaging quality of the optical imaging lens can be improved.
[0067] In an exemplary embodiment, the effective semi-aperture DT12 of the image side of the first lens, the distance PR from the exit surface of the reflecting element to the second lens on the optical axis, and the maximum length L2 of the second lens barrel in the direction of the optical axis may satisfy: 0.4 < (DT12 + PR) / L2 < 0.7. By controlling the above conditional expression, the effective semi-aperture of the image side of the first lens can be restricted, effectively ensuring the light input amount of the optical imaging lens; at the same time, by cooperating with restricting the distance from the exit surface of the reflecting element to the second lens on the optical axis and the maximum length of the second lens barrel in the direction of the optical axis, interference between the first lens barrel and the second lens barrel can be avoided, and the length of the optical imaging lens can be compressed, reducing the volume of the optical imaging lens, which helps to realize the miniaturization of the optical imaging lens.
[0068] In an exemplary embodiment, the air gap T78 between the seventh lens and the eighth lens on the optical axis, the distance EP67 between the sixth spacer and the seventh spacer along the optical axis, and the distance EP70 between the seventh spacer and the image-side end face of the second barrel along the optical axis may satisfy: 2.3 < (EP67 + EP70) / T78 < 3.2. By controlling the above conditional expression, it is possible to constrain the distance between the sixth spacer and the seventh spacer along the optical axis and the distance between the seventh spacer and the image-side end face of the second barrel along the optical axis, which is beneficial to improving the structural stability of the image side end of the second barrel.
[0069] In an exemplary embodiment, the inner diameter d7s of the object-side surface of the seventh spacer and the outer diameter D7s of the object-side surface of the seventh spacer may satisfy: 1.1 < D7s / d7s < 1.8. By reasonably configuring the ratio of the outer diameter to the inner diameter of the object-side surface of the seventh spacer, it is possible to ensure an appropriate width of the bearing surface of the seventh spacer and limit the inner diameter of the object-side surface of the seventh spacer, so that the seventh spacer can effectively block light and reduce reflection and stray light phenomena.
[0070] In an exemplary embodiment, the distance EP70 between the seventh spacer and the image-side end face of the second barrel along the optical axis and the central thickness CT8 of the eighth lens on the optical axis may satisfy: 2.0 < EP70 / CT8 < 2.7. By reasonably configuring the ratio of the distance between the seventh spacer and the image-side end face of the second barrel along the optical axis to the central thickness of the eighth lens on the optical axis, while constraining the edge thickness of the eighth lens within a certain range, it is beneficial to ensure the uniformity of light transmission of the eighth lens.
[0071] In an exemplary embodiment, the distance EP70 between the seventh spacer and the image-side end face of the second barrel along the optical axis and the distance YC82 from the inflection point closest to the optical axis on the image-side surface of the eighth lens to the optical axis may satisfy: 0.7 < YC82 / EP70 < 1.2. By controlling the above conditional expression, it is possible to constrain the distance from the inflection point closest to the optical axis on the image-side surface of the eighth lens to the optical axis, ensure a reasonable degree of concavity and convexity of the image-side surface of the eighth lens, and make the exit angle and exit range of light when exiting from the image-side surface of the eighth lens appropriate; at the same time, by cooperating with restricting the distance between the seventh spacer and the image-side end face of the second barrel along the optical axis, it is possible to ensure that the edge thickness of the eighth lens does not deviate from the thickness ratio of the overall thickness, which is beneficial to the shaping of the eighth lens.
[0072] In an exemplary embodiment, the central thickness CT7 of the seventh lens on the optical axis, the central thickness CT8 of the eighth lens on the optical axis, and the maximum thickness CP7b of the seventh auxiliary spacer may satisfy: 1.5 < (CT7 + CT8) / CP7b < 2.4. By controlling the above conditional expression, the central thicknesses of the seventh lens and the eighth lens can be constrained, which is beneficial to reducing the sensitivity of the seventh lens and the eighth lens and improving the light passing rate; at the same time, by cooperating with restricting the maximum thickness of the seventh auxiliary spacer, the structures of the seventh lens and the eighth lens can be improved, the optical powers of the seventh lens and the eighth lens can be more reasonably distributed, and the processability of the seventh lens and the eighth lens can be optimized.
[0073] In an exemplary embodiment, the air gap T78 between the seventh lens and the eighth lens on the optical axis and the sum ∑CP7 of the maximum thicknesses of all the spacers within the air gap between the seventh lens and the eighth lens may satisfy: 0.8 < T78 / ∑CP7 < 1.9. Reasonably configuring the ratio of the air gap between the seventh lens and the eighth lens on the optical axis to the sum of the maximum thicknesses of all the spacers within the air gap between the seventh lens and the eighth lens is beneficial to arranging reasonable spacers between the seventh lens and the eighth lens, avoiding the phenomenon that the edge thicknesses of the seventh lens and the eighth lens are too thin, and improving the assembly stability of the optical imaging lens.
[0074] In an exemplary embodiment, the radius of curvature R8 of the image side of the fourth lens, the radius of curvature R9 of the object side of the fifth lens, and the radius of curvature R10 of the image side of the fifth lens may satisfy: -4.4 < (R9 + R10) / R8 < -2.3; the axial interval distance EP56 between the fifth spacer and the sixth spacer, the central thickness CT4 of the fourth lens on the optical axis, and the central thickness CT5 of the fifth lens on the optical axis may satisfy: 0.7 < EP56 / (CT4 + CT5) < 1.7. Reasonably configuring the ratio of the sum of the radii of curvature of the object side and the image side of the fifth lens to the radius of curvature of the image side of the fourth lens is beneficial to more uniform distribution of the image side of the fourth lens and the object side and the image side of the fifth lens; at the same time, by cooperating with restricting the axial interval distance between the fifth spacer and the sixth spacer and the central thicknesses of the fourth lens and the fifth lens, the edge thickness of the fifth lens can be made reasonable, the forming difficulty of the fifth lens can be reduced, and it is beneficial to miniaturize the optical imaging lens and ensure normal assembly.
[0075] In an exemplary embodiment, the combined focal length f45 of the fourth lens and the fifth lens, the outer diameter D3m of the image side of the third spacer, and the outer diameter D4m of the image side of the fourth spacer may satisfy: -1.1 < f45 / (D3m + D4m) < -0.5. By controlling the above conditional expression, it is possible to constrain the outer diameters of the image sides of the third spacer and the fourth spacer, and at the same time, in cooperation with restricting the combined focal length of the fourth lens and the fifth lens, it is beneficial to ensure the uniformity of the fourth lens and the fifth lens, reduce stray light, and contribute to the molding of the fourth lens and the fifth lens, thereby improving the molding yield of the fourth lens and the fifth lens.
[0076] In an exemplary embodiment, the inner diameter d4m of the image side of the fourth spacer and the outer diameter D5s of the object side of the fifth spacer may satisfy: 1.7 < D5s / d4m < 2.3. Reasonably configuring the ratio of the outer diameter of the object side of the fifth spacer to the inner diameter of the image side of the fourth spacer is beneficial for intercepting the reflected light path and restricting the reflection area. While ensuring that the outer diameter of the fifth lens meets the assembly requirements, it enables the fifth lens to completely transmit and effectively converge light, thereby improving the imaging quality of the optical imaging lens.
[0077] In an exemplary embodiment, the air gap T34 between the third lens and the fourth lens on the optical axis, the air gap T45 between the fourth lens and the fifth lens on the optical axis, the axial spacing distance EP34 between the third spacer and the fourth spacer, and the axial spacing distance EP45 between the fourth spacer and the fifth spacer may satisfy: 1.1 < (EP34 + EP45) / (T34 + T45) < 1.9. By controlling the above conditional expression, it is possible to constrain the spacing distances between adjacent two of the third, fourth, and fifth spacers and the air gaps between adjacent two of the third, fourth, and fifth lenses, ensuring that the air gaps between the lenses and the edge thicknesses of the lenses are appropriate, which is beneficial for stabilizing the positions of the spacers on the optical axis and reasonably distributing the internal structure space of the second lens barrel.
[0078] In an exemplary embodiment, the radius of curvature R4 of the image side of the second lens and the radius of curvature R5 of the object side of the third lens may satisfy: 0.1 < (R4 + R5) / (R4 - R5) < 0.5; the effective focal length f3 of the third lens, the inner diameter d2s of the object side of the second spacer, and the inner diameter d3s of the object side of the third spacer may satisfy: -18.5 < f3 / (d3s - d2s) < -14.0. Reasonably configuring the radius of curvature of the image side of the second lens and the radius of curvature of the object side of the third lens can ensure that the concavity and convexity of the image side of the second lens and the object side of the third lens are appropriate, and the optical power of the lens is more concentrated; at the same time, in cooperation with restricting the ratio of the effective focal length of the third lens to the difference between the inner diameters of the object sides of the third spacer and the second spacer, it can ensure that effective light enters the third lens and is beneficial for intercepting the excess marginal light refracted by the third lens from entering the subsequent lens.
[0079] In an exemplary embodiment, the air gap T23 between the second lens and the third lens on the optical axis and the maximum thickness CP2b of the second auxiliary spacer may satisfy: 4.0 < CP2b / T23 < 35.0. By reasonably configuring the ratio of the maximum thickness of the second auxiliary spacer to the air gap between the second lens and the third lens on the optical axis, while ensuring the assembly assistance of the second auxiliary spacer, it is beneficial to confine the air gap between the second lens and the third lens within an appropriate range, thereby facilitating the adjustment of the MTF field curvature and peak in the later stage.
[0080] In an exemplary embodiment, the sum ∑CPm of the maximum thicknesses of all spacers in the spacer group with a maximum thickness greater than 0.05 mm may satisfy: 2.0 mm < ∑CPm < 4.5 mm. By reasonably configuring the sum of the maximum thicknesses of all spacers in the spacer group with a maximum thickness greater than 0.05 mm, while restricting the total length of the optical imaging lens, it is beneficial to confine the thickness of the spacers with a larger thickness, thereby improving the structure of the overall lens.
[0081] The optical imaging lens according to the above embodiment of the present application may employ a reflective element, eight lenses, two lens barrels, and at least one spacer. By reasonably allocating the parameters of each lens, reflective element, each lens barrel, and each spacer, etc., it is possible to reduce stray light and achieve the characteristics of miniaturization and large image plane of the optical imaging lens, and improve the imaging quality and assembly stability of the optical imaging lens.
[0082] In an embodiment of the present application, at least one of the surfaces of each of the first lens to the eighth lens is an aspherical surface. The characteristic of an aspherical lens is that the curvature changes continuously from the center of the lens to the periphery of the lens. Different from a spherical lens with a constant curvature from the center of the lens to the periphery of the lens, an aspherical lens has better curvature radius characteristics and has the advantages of improving distortion aberration and astigmatism aberration. After using an aspherical lens, it is possible to eliminate the aberration that appears during imaging as much as possible, thereby improving the imaging quality. Optionally, both the object side and the image side of each of the first lens to the eighth lens are aspherical surfaces.
[0083] The second aspect of the present application provides an optical imaging lens, which includes an optical lens group and a spacer group. The optical lens group sequentially includes a first lens with a negative focal power, a second lens with a positive focal power, a third lens with a positive focal power, a fourth lens with a negative focal power, a fifth lens with a positive focal power, a sixth lens with a positive focal power, a seventh lens with a focal power, and an eighth lens with a negative focal power from the object side to the image side along the optical axis. The spacer group includes a fifth spacer and a sixth spacer, wherein the fifth spacer is placed on the image side surface of the fifth lens and contacts the image side surface of the fifth lens, and the sixth spacer is placed on the image side surface of the sixth lens and contacts the image side surface of the sixth lens. The number of lenses with focal power in the optical imaging lens is eight.
[0084] Among them, the radius of curvature R8 of the image side surface of the fourth lens, the radius of curvature R9 of the object side surface of the fifth lens, and the radius of curvature R10 of the image side surface of the fifth lens can satisfy: -4.4 < (R9 + R10) / R8 < -2.3; and the spacing distance EP56 of the fifth spacer and the sixth spacer along the optical axis, the central thickness CT4 of the fourth lens on the optical axis, and the central thickness CT5 of the fifth lens on the optical axis can satisfy: 0.7 < EP56 / (CT4 + CT5) < 1.7. Reasonably configuring the ratio of the sum of the radii of curvature of the object side surface and the image side surface of the fifth lens to the radius of curvature of the image side surface of the fourth lens is beneficial to making the distribution of the image side surface of the fourth lens, the object side surface, and the image side surface of the fifth lens more uniform; at the same time, by cooperating with restricting the spacing distance of the fifth spacer and the sixth spacer along the optical axis and the central thicknesses of the fourth lens and the fifth lens, the edge thickness of the fifth lens can be made reasonable, the forming difficulty of the fifth lens can be reduced, and it is beneficial to realize the miniaturization of the optical imaging lens and ensure normal assembly.
[0085] The third aspect of the present application provides an optical imaging lens, which includes an optical lens group, a spacer group, and a reflection element. The optical lens group sequentially includes a first lens with a negative focal power, a second lens with a positive focal power, a third lens with a positive focal power, a fourth lens with a negative focal power, a fifth lens with a positive focal power, a sixth lens with a positive focal power, a seventh lens with a focal power, and an eighth lens with a negative focal power from the object side to the image side. The reflection element is disposed between the first lens and the second lens and is configured to receive the light emitted by the first lens along the direction of the first optical axis, and reflect the light and emit it into the second lens along the direction of the second optical axis, wherein the first optical axis is perpendicular to the second optical axis. The spacer group includes a second spacer and a third spacer, wherein the second spacer is placed on the image side surface of the second lens and contacts the image side surface of the second lens, and the third spacer is placed on the image side surface of the third lens and contacts the image side surface of the third lens. The number of lenses with focal power in the optical imaging lens is eight.
[0086] Among them, the radius of curvature R4 of the image side of the second lens and the radius of curvature R5 of the object side of the third lens can satisfy: 0.1 < (R4 + R5) / (R4 - R5) < 0.5; and the effective focal length f3 of the third lens, the inner diameter d2s of the object side of the second spacer, and the inner diameter d3s of the object side of the third spacer can satisfy: -18.5 < f3 / (d3s - d2s) < -14.0. Reasonably configuring the radius of curvature of the image side of the second lens and the radius of curvature of the object side of the third lens can ensure that the concavity and convexity of the image side of the second lens and the object side of the third lens are appropriate, and the optical power of the lens is more concentrated; at the same time, by cooperating with restricting the ratio of the effective focal length of the third lens to the difference between the inner diameters of the object sides of the third spacer and the second spacer, it can ensure that the effective light enters the third lens and is conducive to intercepting the redundant marginal light refracted by the third lens from entering the rear lens.
[0087] Those skilled in the art should understand that without departing from the technical solutions claimed in this application, the number of lenses and spacers constituting the optical imaging lens can be changed to obtain the various results and advantages described in this specification.
[0088] The specific embodiments of the optical imaging lens applicable to the above embodiments will be further described below with reference to the accompanying drawings.
[0089] Example 1
[0090] The following refers to Figure 3 Describe the optical imaging lens according to Embodiment 1 of this application.
[0091] As Figure 3 shown, the optical imaging lens includes a reflection element P, an optical lens group, a spacer group, and a lens barrel assembly. The lens barrel assembly includes a first lens barrel P01 and a second lens barrel P02.
[0092] The optical lens group includes a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7, and an eighth lens E8. The reflection element P is disposed between the first lens E1 and the second lens E2. The first lens E1 is located on the Y optical axis and is disposed between the object side and the reflection element P. The second lens E2, the third lens E3, the fourth lens E4, the fifth lens E5, the sixth lens E6, the seventh lens E7, and the eighth lens E8 are arranged in sequence along the X optical axis from the reflection element P to the image side. The aperture stop STO can be disposed between the reflection element P and the second lens E2.
[0093] The first lens E1 has negative power, and its object side surface S1 is convex, and the image side surface S2 is concave. The reflective element P has an incident surface S3, a reflection surface, and an exit surface S4, and the incident surface S3, the reflection surface, and the exit surface S4 are all planes. The second lens E2 has positive power, and its object side surface S5 is convex, and the image side surface S6 is convex. The third lens E3 has positive power, and its object side surface S7 is convex, and the image side surface S8 is convex. The fourth lens E4 has negative power, and its object side surface S9 is concave, and the image side surface S10 is concave. The fifth lens E5 has positive power, and its object side surface S11 is concave, and the image side surface S12 is convex. The sixth lens E6 has positive power, and its object side surface S13 is convex, and the image side surface S14 is concave. The seventh lens E7 has negative power, and its object side surface S15 is concave, and the image side surface S16 is convex. The eighth lens E8 has negative power, and its object side surface S17 is convex, and its image side surface S18 is concave. The filter has an object side surface S19 (not shown) and an image side surface S20 (not shown). Light from the object passes through each surface S1 to S20 in sequence and is finally imaged on an imaging surface S21 (not shown).
[0094] The spacer group includes a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. And the spacer group is placed in the second lens barrel P02. In the example, the spacer group also includes a second auxiliary spacer P2c and a seventh auxiliary spacer P7c. The spacer can block the excess light in the imaging process from entering the next lens, and at the same time make the lens and the second lens barrel P02 better bear, thereby enhancing the structural stability of the optical imaging lens.
[0095] Table 2 shows the basic parameters of the optical imaging lens of Example 1, wherein the units of the radius of curvature, thickness / distance, and focal length are all millimeters (mm).
[0096]
[0097]
[0098] Table 2
[0099] In this embodiment, the total effective focal length f of the optical imaging lens is 10.50 mm, the half of the maximum field of view Semi-FOV of the optical imaging lens is 32.60°, and the aperture number Fno of the optical imaging lens is 1.57. The combined focal length f45 of the fourth lens and the fifth lens is -13.28 mm. The distance YC82 from the inflection point closest to the optical axis in the image side of the eighth lens to the optical axis is 3.73 mm. The effective semi-aperture DT12 of the image side of the first lens is 5.96 mm.
[0100] In this embodiment, the object side surface and the image side surface of any lens among the first lens E1 to the eighth lens E8 are both aspherical surfaces, and the surface shape x of each aspherical lens can be defined by but not limited to the following aspherical surface formula:
[0101]
[0102] Wherein, x is the distance vector height from the vertex of the aspheric surface when the aspheric surface is at a height of h along the optical axis; c is the paraxial curvature of the aspheric surface, c=1 / R (i.e., the paraxial curvature c is the reciprocal of the curvature radius R in Table 2 above); k is the cone coefficient; Ai is the correction coefficient of the i-th order of the aspheric surface. Table 3 shows the high-order coefficients A4, A6, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36, A37, A38, A39, A 10 , A 12 , A 14 and A 16 .
[0103]
[0104]
[0105] Table 3
[0106] Example 2
[0107] The following reference Figure 4 An optical imaging lens according to Embodiment 2 of the present application is described.
[0108] like Figure 4 As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a barrel assembly. The barrel assembly comprises a first barrel P01 and a second barrel P02. The structures of the reflective element P and the optical lens group are the same as those of the reflective element P and the optical lens group of Example 1. The spacer group comprises a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. In the example, the spacer group also comprises a second auxiliary spacer P2c and a seventh auxiliary spacer P7c.
[0109] The structures of the reflective element P and the optical lens group of this embodiment are the same as those of the reflective element P and the optical lens group of Embodiment 1, that is, the basic parameter table of the optical imaging lens of this embodiment is the same as Table 2, and the aspheric coefficient table is the same as Table 3. The difference between this embodiment and Embodiment 1 is that the structural dimensions of at least some elements in the first lens barrel P01, the second lens barrel P02, and the spacer group are different.
[0110] Figure 5AThe axial chromatic aberration curve of the optical imaging lens of Example 1 or 2 is shown, which indicates the deviation of the focal point of light of different wavelengths after passing through the optical imaging lens. Figure 5B The astigmatism curve of the optical imaging lens of Example 1 or 2 is shown, which represents the meridional image curvature and sagittal image curvature corresponding to different field angles. Figure 5C The distortion curve of the optical imaging lens of Example 1 or 2 is shown, which represents the distortion magnitude values corresponding to different field angles. Figure 5D The magnification chromatic aberration curve of the optical imaging lens of Example 1 or 2 is shown, which indicates the deviation of different image heights on the imaging surface after the light passes through the lens. FIG. 5A to FIG. 5D It can be seen that the optical imaging lens of Example 1 or 2 can achieve good imaging quality.
[0111] Example 3
[0112] The following reference Figure 6 An optical imaging lens according to Embodiment 3 of the present application is described.
[0113] like Figure 6 As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a lens barrel assembly. The lens barrel assembly comprises a first lens barrel P01 and a second lens barrel P02.
[0114] The optical lens group includes a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7 and an eighth lens E8. A reflective element P is disposed between the first lens E1 and the second lens E2. The first lens E1 is located on the Y optical axis and is disposed between the object side and the reflective element P. The second lens E2, the third lens E3, the fourth lens E4, the fifth lens E5, the sixth lens E6, the seventh lens E7 and the eighth lens E8 are arranged in sequence from the reflective element P to the image side along the X optical axis. A stop STO may be disposed between the reflective element P and the second lens E2.
[0115] The first lens E1 has negative power, and its object side surface S1 is convex, and the image side surface S2 is concave. The reflective element P has an incident surface S3, a reflection surface, and an exit surface S4, and the incident surface S3, the reflection surface, and the exit surface S4 are all planes. The second lens E2 has positive power, and its object side surface S5 is convex, and the image side surface S6 is convex. The third lens E3 has positive power, and its object side surface S7 is convex, and the image side surface S8 is convex. The fourth lens E4 has negative power, and its object side surface S9 is concave, and the image side surface S10 is concave. The fifth lens E5 has positive power, and its object side surface S11 is concave, and the image side surface S12 is convex. The sixth lens E6 has positive power, and its object side surface S13 is convex, and the image side surface S14 is concave. The seventh lens E7 has positive power, and its object side surface S15 is concave, and the image side surface S16 is convex. The eighth lens E8 has negative power, and its object side surface S17 is convex, and its image side surface S18 is concave. The filter has an object side surface S19 (not shown) and an image side surface S20 (not shown). Light from the object passes through each surface S1 to S20 in sequence and is finally imaged on an imaging surface S21 (not shown).
[0116] The spacer group includes a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. And the spacer group is placed in the second lens barrel P02. In the example, the spacer group also includes a second auxiliary spacer P2c and a seventh auxiliary spacer P7c. The spacer can block the excess light in the imaging process from entering the next lens, and at the same time make the lens and the second lens barrel P02 better bear, thereby enhancing the structural stability of the optical imaging lens.
[0117] Table 4 shows the basic parameters of the optical imaging lens of Example 3, wherein the units of the radius of curvature, thickness / distance, and focal length are all millimeters (mm).
[0118]
[0119] Table 4
[0120] In this embodiment, the total effective focal length f of the optical imaging lens is 10.86 mm, the half of the maximum field of view angle Semi-FOV of the optical imaging lens is 32.14°, and the aperture number Fno of the optical imaging lens is 1.59. The combined focal length f45 of the fourth lens and the fifth lens is -16.00 mm. The distance YC82 from the inflection point closest to the optical axis in the image side of the eighth lens to the optical axis is 3.89 mm. The effective semi-aperture DT12 of the image side of the first lens is 6.23 mm.
[0121] In this embodiment, the object side surface and the image side surface of any lens from the first lens E1 to the eighth lens E8 are both aspherical surfaces. Table 5 lists the high-order coefficients A4, A6, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36, A37, A38, A39, A40, A41, A42, A43, A44, A45, A46, A47, A48, A49, A49, A50, A51, A52, A53, A54, A55, A56, A57, A5 10 , A 12 , A 14 and A 16 .
[0122]
[0123]
[0124] Table 5
[0125] Example 4
[0126] The following reference Figure 7 An optical imaging lens according to Embodiment 4 of the present application is described.
[0127] like Figure 7 As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a barrel assembly. The barrel assembly comprises a first barrel P01 and a second barrel P02. The structures of the reflective element P and the optical lens group are the same as those of the reflective element P and the optical lens group of Example 3. The spacer group comprises a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. In the example, the spacer group also comprises a second auxiliary spacer P2c and a seventh auxiliary spacer P7c.
[0128] The structures of the reflective element P and the optical lens group of this embodiment are the same as those of the reflective element P and the optical lens group of Embodiment 3, that is, the basic parameter table of the optical imaging lens of this embodiment is the same as Table 4, and the aspheric coefficient table is the same as Table 5. The difference between this embodiment and Embodiment 3 is that the structural dimensions of at least some elements in the first lens barrel P01, the second lens barrel P02, and the spacer group are different.
[0129] Fig. 8A The axial chromatic aberration curve of the optical imaging lens of Example 3 or 4 is shown, which indicates the deviation of the focal point of light of different wavelengths after passing through the optical imaging lens. Figure 8B The astigmatism curve of the optical imaging lens of Example 3 or 4 is shown, which represents the meridional image plane curvature and sagittal image plane curvature corresponding to different field angles. Figure 8C The distortion curve of the optical imaging lens of Example 3 or 4 is shown, which represents the distortion magnitude values corresponding to different field angles. Fig.8DThe magnification chromatic aberration curve of the optical imaging lens of Example 3 or 4 is shown, which represents the deviation of different image heights on the imaging surface after the light passes through the lens. FIG. 8A to FIG. 8D It can be seen that the optical imaging lens of Example 3 or 4 can achieve good imaging quality.
[0130] Example 5
[0131] The following reference Fig. 9 An optical imaging lens according to Embodiment 5 of the present application is described.
[0132] like Fig. 9 As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a lens barrel assembly. The lens barrel assembly comprises a first lens barrel P01 and a second lens barrel P02.
[0133] The optical lens group includes a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7 and an eighth lens E8. A reflective element P is disposed between the first lens E1 and the second lens E2. The first lens E1 is located on the Y optical axis and is disposed between the object side and the reflective element P. The second lens E2, the third lens E3, the fourth lens E4, the fifth lens E5, the sixth lens E6, the seventh lens E7 and the eighth lens E8 are arranged in sequence from the reflective element P to the image side along the X optical axis. A stop STO may be disposed between the reflective element P and the second lens E2.
[0134] The first lens E1 has negative power, and its object side surface S1 is convex, and its image side surface S2 is concave. The reflective element P has an incident surface S3, a reflection surface, and an exit surface S4, and the incident surface S3 is convex, the reflection surface is a plane, and the exit surface S4 is concave. The second lens E2 has positive power, and its object side surface S5 is convex, and its image side surface S6 is convex. The third lens E3 has positive power, and its object side surface S7 is convex, and its image side surface S8 is convex. The fourth lens E4 has negative power, and its object side surface S9 is convex, and its image side surface S10 is concave. The fifth lens E5 has positive power, and its object side surface S11 is concave, and its image side surface S12 is convex. The sixth lens E6 has positive power, and its object side surface S13 is convex, and its image side surface S14 is concave. The seventh lens E7 has negative power, and its object side surface S15 is concave, and its image side surface S16 is convex. The eighth lens E8 has negative power, and its object side surface S17 is concave, and its image side surface S18 is concave. The filter has an object side surface S19 (not shown) and an image side surface S20 (not shown). Light from the object passes through each surface S1 to S20 in sequence and is finally imaged on an imaging surface S21 (not shown).
[0135] The spacer group includes a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. And the spacer group is placed in the second lens barrel P02. In the example, the spacer group also includes a second auxiliary spacer P2c and a seventh auxiliary spacer P7c. The spacer can block the excess light in the imaging process from entering the next lens, and at the same time make the lens and the second lens barrel P02 better bear, thereby enhancing the structural stability of the optical imaging lens.
[0136] Table 6 shows the basic parameters of the optical imaging lens of Example 5, wherein the units of the radius of curvature, thickness / distance, and focal length are all millimeters (mm).
[0137]
[0138] Table 6
[0139] In this embodiment, the total effective focal length f of the optical imaging lens is 10.50 mm, the half of the maximum field of view Semi-FOV of the optical imaging lens is 31.00°, and the aperture number Fno of the optical imaging lens is 1.60. The combined focal length f45 of the fourth lens and the fifth lens is -19.13 mm. The distance YC82 from the inflection point closest to the optical axis on the image side of the eighth lens to the optical axis is 3.28 mm. The effective semi-aperture DT12 of the image side of the first lens is 6.13 mm.
[0140] In this embodiment, the object side surface and the image side surface of any lens from the first lens E1 to the eighth lens E8 are aspherical surfaces. Table 7 shows the high-order coefficients A4, A6, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36, A37, A38, A39, A40, A41, A42, A43, A44, A45, A46, A47, A48, A49, A50, A51, A52, A53, A54, A55, A56, A57, A58, A59 10 , A 12 , A 14 and A 16 .
[0141]
[0142]
[0143] Table 7
[0144] Example 6
[0145] The following reference Fig.10 An optical imaging lens according to Example 6 of the present application is described.
[0146] like Fig.10As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a barrel assembly. The barrel assembly comprises a first barrel P01 and a second barrel P02. The structures of the reflective element P and the optical lens group are the same as those of the reflective element P and the optical lens group of Example 3. The spacer group comprises a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. In the example, the spacer group also comprises a second auxiliary spacer P2c.
[0147] The structures of the reflective element P and the optical lens group of this embodiment are the same as those of the reflective element P and the optical lens group of Embodiment 5, that is, the basic parameter table of the optical imaging lens of this embodiment is the same as Table 6, and the aspheric coefficient table is the same as Table 7. The difference between this embodiment and Embodiment 5 is that the structural dimensions of at least some elements in the first lens barrel P01, the second lens barrel P02, and the spacer group are different.
[0148] Fig.11A The axial chromatic aberration curve of the optical imaging lens of Example 5 or 6 is shown, which indicates the deviation of the focal point of light of different wavelengths after passing through the optical imaging lens. Fig. 11B The astigmatism curve of the optical imaging lens of Example 5 or 6 is shown, which represents the meridional image plane curvature and sagittal image plane curvature corresponding to different field angles. Fig. 11C The distortion curve of the optical imaging lens of Example 5 or 6 is shown, which represents the distortion magnitude values corresponding to different field angles. Fig.11D The magnification chromatic aberration curve of the optical imaging lens of Example 5 or 6 is shown, which represents the deviation of different image heights on the imaging surface after the light passes through the lens. FIG. 11A to FIG. 11D It can be seen that the optical imaging lens of Example 5 or 6 can achieve good imaging quality.
[0149] Example 7
[0150] The following reference Fig.12 An optical imaging lens according to Embodiment 7 of the present application is described.
[0151] like Fig.12 As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a lens barrel assembly. The lens barrel assembly comprises a first lens barrel P01 and a second lens barrel P02.
[0152] The optical lens group includes a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7 and an eighth lens E8. A reflective element P is disposed between the first lens E1 and the second lens E2. The first lens E1 is located on the Y optical axis and is disposed between the object side and the reflective element P. The second lens E2, the third lens E3, the fourth lens E4, the fifth lens E5, the sixth lens E6, the seventh lens E7 and the eighth lens E8 are arranged in sequence from the reflective element P to the image side along the X optical axis. A stop STO may be disposed between the reflective element P and the second lens E2.
[0153] The first lens E1 has negative power, and its object side surface S1 is convex, and its image side surface S2 is concave. The reflective element P has an incident surface S3, a reflection surface, and an exit surface S4, and the incident surface S3 is concave, the reflection surface is a plane, and the exit surface S4 is concave. The second lens E2 has positive power, and its object side surface S5 is convex, and its image side surface S6 is convex. The third lens E3 has positive power, and its object side surface S7 is convex, and its image side surface S8 is convex. The fourth lens E4 has negative power, and its object side surface S9 is convex, and its image side surface S10 is concave. The fifth lens E5 has positive power, and its object side surface S11 is concave, and its image side surface S12 is convex. The sixth lens E6 has positive power, and its object side surface S13 is convex, and its image side surface S14 is concave. The seventh lens E7 has negative power, and its object side surface S15 is concave, and its image side surface S16 is convex. The eighth lens E8 has negative power, and its object side surface S17 is concave, and its image side surface S18 is concave. The filter has an object side surface S19 (not shown) and an image side surface S20 (not shown). Light from the object passes through each surface S1 to S20 in sequence and is finally imaged on an imaging surface S21 (not shown).
[0154] The spacer group includes a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. And the spacer group is placed in the second lens barrel P02. In the example, the spacer group also includes a second auxiliary spacer P2c and a seventh auxiliary spacer P7c. The spacer can block the excess light in the imaging process from entering the next lens, and at the same time make the lens and the second lens barrel P02 better bear, thereby enhancing the structural stability of the optical imaging lens.
[0155] Table 8 shows the basic parameters of the optical imaging lens of Example 7, wherein the units of the radius of curvature, thickness / distance, and focal length are all millimeters (mm).
[0156]
[0157] Table 8
[0158] In this embodiment, the total effective focal length f of the optical imaging lens is 10.83 mm, the half of the maximum field of view angle Semi-FOV of the optical imaging lens is 31.00°, and the aperture number Fno of the optical imaging lens is 1.60. The combined focal length f45 of the fourth lens and the fifth lens is -16.92 mm. The distance YC82 from the inflection point closest to the optical axis in the image side of the eighth lens to the optical axis is 3.24 mm. The effective semi-aperture DT12 of the image side of the first lens is 6.02 mm.
[0159] In this embodiment, the object side surface and image side surface of any lens from the first lens E1 to the eighth lens E8, and the incident surface and the exit surface of the reflective element P are all aspherical surfaces. Table 9 shows the high-order coefficients A4, A6, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36, A37, A38, A39, A40, A41, A42, A43, A44, A45, A46, A47, A48, A49, A50, A51, A52, A53, A54, A55, 10 , A 12 , A 14 , A 16 、A18、A 20 , A 22 and A 24 .
[0160]
[0161] Table 9
[0162] Example 8
[0163] The following reference Fig.13 An optical imaging lens according to Example 8 of the present application is described.
[0164] like Fig.13 As shown, the optical imaging lens comprises a reflective element P, an optical lens group, a spacer group and a barrel assembly. The barrel assembly comprises a first barrel P01 and a second barrel P02. The structures of the reflective element P and the optical lens group are the same as those of the reflective element P and the optical lens group of Example 3. The spacer group comprises a second spacer P2, a second auxiliary spacer P2b, a third spacer P3, a fourth spacer P4, a fifth spacer P5, a sixth spacer P6, a seventh spacer P7 and a seventh auxiliary spacer P7b. In the example, the spacer group also comprises a second auxiliary spacer P2c and a seventh auxiliary spacer P7c.
[0165] The structures of the reflective element P and the optical lens group of this embodiment are the same as those of the reflective element P and the optical lens group of Embodiment 7, that is, the basic parameter table of the optical imaging lens of this embodiment is the same as Table 8, and the aspheric coefficient table is the same as Table 9. The difference between this embodiment and Embodiment 7 is that the structural dimensions of at least some elements in the first lens barrel P01, the second lens barrel P02, and the spacer group are different.
[0166] Fig.14A The axial chromatic aberration curve of the optical imaging lens of Example 7 or 8 is shown, which indicates the deviation of the focal point of light of different wavelengths after passing through the optical imaging lens. Fig. 14B The astigmatism curve of the optical imaging lens of Example 7 or 8 is shown, which represents the meridional image plane curvature and sagittal image plane curvature corresponding to different field angles. Fig. 14C The distortion curve of the optical imaging lens of Example 7 or 8 is shown, which represents the distortion magnitude values corresponding to different field angles. Fig.14D The magnification chromatic aberration curve of the optical imaging lens of Example 7 or 8 is shown, which represents the deviation of different image heights on the imaging surface after the light passes through the lens. FIG. 14A to FIG. 14D It can be seen that the optical imaging lens of Example 7 or 8 can achieve good imaging quality.
[0167] Table 10 shows the values of parameters such as d2s, d3s, D3m, d4m, D4m, d5s, D5s, d7s, D7s, EP34, EP45, EP56, EP67, CP2b, CP5b, CP7b, ∑CP7, EP70, L2 and ∑CPm in each embodiment of embodiments 1-8. Among them, some of the above parameters can be calculated according to Figure 1A , Figure 1B or Figure 1C The units of the parameters listed in Table 10 are all mm.
[0168] Parameters / Examples 1 2 3 4 5 6 7 8 d2s 7.245 7.172 7.454 7.473 7.132 7.114 6.168 6.141 d3s 6.429 6.416 6.565 6.541 6.386 6.365 5.458 5.458 D3m 10.500 8.880 10.600 9.140 9.400 9.400 9.700 8.700 d4m 5.580 5.561 5.715 5.700 5.582 5.565 5.030 5.030 D4m 10.800 10.900 10.900 9.153 10.000 9.700 10.300 9.000 d5s 5.978 5.987 5.921 5.948 6.051 6.075 5.626 5.626 D5s 11.100 11.200 11.200 11.200 10.600 10.000 10.900 11.000 d7s 7.503 7.482 7.954 7.840 7.565 8.825 7.361 7.343 D7s 12.400 12.500 13.300 13.100 11.900 11.186 12.100 12.100 EP34 1.779 1.782 1.703 1.709 1.607 1.607 1.628 1.628 EP45 0.700 0.730 0.782 0.826 0.591 0.621 0.758 0.808 EP56 1.401 1.431 2.064 2.014 1.350 1.330 1.417 1.367 EP67 0.973 0.916 1.258 1.158 1.053 1.215 1.146 1.146 CP2b 0.906 0.551 0.995 1.010 1.013 0.893 0.910 0.830 CP5b 0.870 0.840 1.221 1.279 0.833 0.803 0.800 0.650 CP7b 1.208 1.208 1.644 1.644 1.077 0.022 1.150 1.180 ∑CP7 1.252 1.252 1.688 1.688 1.121 0.972 1.194 1.224 EP70 3.650 3.660 3.590 3.690 3.710 3.710 3.600 3.570 L2 12.220 12.220 14.370 14.320 12.170 12.170 12.930 12.960 ∑CPm 2.985 2.600 3.860 3.933 2.923 2.647 2.860 2.660 d2s 7.245 7.172 7.454 7.473 7.132 7.114 6.168 6.141 d3s 6.429 6.416 6.565 6.541 6.386 6.365 5.458 5.458
[0169] Table 10
[0170] Table 11 shows the values of the conditional expressions of each example in Examples 1 to 8.
[0171]
[0172]
[0173] Table 11
[0174] The present application also provides an imaging device, whose electronic photosensitive element can be a photosensitive coupled device (CCD) or a complementary metal oxide semiconductor element (CMOS). The imaging device can be an independent imaging device such as a digital camera, or an imaging module integrated in a mobile electronic device such as a mobile phone. The imaging device is equipped with the optical imaging lens described above.
[0175] The above description is only a preferred embodiment of the present application and an explanation of the technical principles used. Those skilled in the art should understand that the scope of the utility model involved in the present application is not limited to the technical solution formed by a specific combination of the above technical features, but should also cover other technical solutions formed by any combination of the above technical features or their equivalent features without departing from the inventive concept. For example, the above features are replaced with the technical features with similar functions disclosed in the present application (but not limited to) by each other.
Claims
1. An optical imaging lens, characterized in that: Comprising: An optical lens group, which sequentially includes, from the object side to the image side along the optical axis, a first lens with a negative optical power, a second lens with a positive optical power, a third lens with a positive optical power, a fourth lens with a negative optical power, a fifth lens with a positive optical power, a sixth lens with a positive optical power, a seventh lens with an optical power, and an eighth lens with a negative optical power; And A spacer group, including a third spacer, a fourth spacer, and a fifth spacer. Among them, the third spacer is placed on the image side surface of the third lens and contacts the image side surface of the third lens, the fourth spacer is placed on the image side surface of the fourth lens and contacts the image side surface of the fourth lens, and the fifth spacer is placed on the image side surface of the fifth lens and contacts the image side surface of the fifth lens; Among them, the number of lenses with optical power in the optical imaging lens is eight; The total effective focal length f of the optical imaging lens and half of the maximum field of view angle Semi - FOV of the optical imaging lens satisfy: 6.0mm < f×tan(Semi - FOV) < 7.0mm; The combined focal length f45 of the fourth lens and the fifth lens, the inner diameter d4m of the image side surface of the fourth spacer, and the inner diameter d5s of the object side surface of the fifth spacer satisfy: - 1.7 < f45 / (d4m + d5s) < - 1.0; and The air gap T34 between the third lens and the fourth lens on the optical axis, the air gap T45 between the fourth lens and the fifth lens on the optical axis, and the interval distance EP34 between the third spacer and the fourth spacer along the optical axis satisfy: 0.7 < EP34 / (T34 + T45) < 1.
4.
2. The optical imaging lens according to claim 1, wherein: The optical imaging lens further includes: A reflection element, which is arranged between the first lens and the second lens, and is configured to receive the light emitted by the first lens along the direction of the first optical axis, and after reflecting the light, emit it into the second lens along the direction of the second optical axis, where the first optical axis is perpendicular to the second optical axis; and A lens barrel assembly, including a first lens barrel and a second lens barrel. The first lens is placed in the first lens barrel, and the second lens to the eighth lens and the spacer group are placed in the second lens barrel.
3. The optical imaging lens according to claim 2, wherein: The effective semi - aperture DT12 of the image side surface of the first lens, the distance PR from the exit surface of the reflection element to the second lens on the optical axis, and the maximum length L2 of the second lens barrel along the direction of the optical axis satisfy: 0.4 < (DT12 + PR) / L2 < 0.
7.
4. The optical imaging lens according to claim 2, wherein: The spacer group further includes a sixth spacer placed on the image side surface of the sixth lens and contacting the image side surface of the sixth lens, and a seventh spacer placed on the image side surface of the seventh lens and contacting the image side surface of the seventh lens; Among them, the air gap T78 between the seventh lens and the eighth lens on the optical axis, the spacing distance EP67 between the sixth spacer and the seventh spacer along the optical axis, and the spacing distance EP70 between the seventh spacer and the image side end surface of the second lens barrel along the optical axis satisfy: 2.3<(EP67+EP70) / T78<3.
2.
5. The optical imaging lens according to claim 4, characterized in that: The inner diameter d7s of the object side surface of the seventh spacer and the outer diameter D7s of the object side surface of the seventh spacer satisfy: 1.1 <D7s / d7s<1.8。 6. The optical imaging lens according to claim 2, wherein: The spacer group further includes a seventh spacer disposed on the image side surface of the seventh lens and in contact with the image side surface of the seventh lens; Wherein, the spacing distance EP70 between the seventh spacer and the image side end surface of the second lens barrel along the optical axis and the center thickness CT8 of the eighth lens on the optical axis satisfy: 2.0 <EP70 / CT8<2.7。 7. The optical imaging lens according to claim 2, wherein: The spacer group further includes a seventh spacer disposed on the image side surface of the seventh lens and in contact with the image side surface of the seventh lens; Wherein, the spacing distance EP70 between the seventh spacer and the image side end surface of the second lens barrel along the optical axis and the distance YC82 from the inflection point closest to the optical axis in the image side surface of the eighth lens to the optical axis satisfy: 0.7 <YC82 / EP70<1.2。 8. The optical imaging lens according to claim 1 or 2, characterized in that: The spacer group further includes a seventh spacer disposed on the image side surface of the seventh lens and in contact with the image side surface of the seventh lens, and a seventh auxiliary spacer disposed on the image side surface of the seventh spacer and in contact with the image side surface of the seventh spacer; The center thickness CT7 of the seventh lens on the optical axis, the center thickness CT8 of the eighth lens on the optical axis and the maximum thickness CP7b of the seventh auxiliary spacer satisfy: 1.5<(CT7+CT8) / CP7b<2.
4.
9. The optical imaging lens according to claim 1 or 2, characterized in that: The sum of the air interval T78 between the seventh lens and the eighth lens on the optical axis and the maximum thickness of all spacers in the air interval between the seventh lens and the eighth lens ΣCP7 satisfies: 0.8 <T78 / ∑CP7<1.9。 10. The optical imaging lens according to claim 1 or 2, characterized in that: The spacer group further includes a sixth spacer disposed on the image side surface of the sixth lens and in contact with the image side surface of the sixth lens; Wherein, the curvature radius R8 of the image side surface of the fourth lens, the curvature radius R9 of the object side surface of the fifth lens, and the curvature radius R10 of the image side surface of the fifth lens satisfy: -4.4<(R9+R10) / R8<-2.3; and the spacing distance EP56 between the fifth spacer and the sixth spacer along the optical axis, the center thickness CT4 of the fourth lens on the optical axis, and the center thickness CT5 of the fifth lens on the optical axis satisfy: 0.7 <EP56 / (CT4+CT5)<1.7。 11. The optical imaging lens according to any one of claims 1 to 7, characterized in that: The combined focal length f45 of the fourth lens and the fifth lens, the outer diameter D3m of the image side surface of the third spacer, and the outer diameter D4m of the image side surface of the fourth spacer satisfy: -1.1 <f45 / (D3m+D4m)<-0.5。 12. The optical imaging lens according to any one of claims 1 to 7, characterized in that: The inner diameter d4m of the image side surface of the fourth spacer and the outer diameter D5s of the object side surface of the fifth spacer satisfy: 1.7 <D5s / d4m<2.3。 13. The optical imaging lens according to any one of claims 1 to 7, characterized in that: The air gap T34 between the third lens and the fourth lens on the optical axis, the air gap T45 between the fourth lens and the fifth lens on the optical axis, the spacing distance EP34 between the third spacer and the fourth spacer along the optical axis, and the spacing distance EP45 between the fourth spacer and the fifth spacer along the optical axis satisfy: 1.1<(EP34+EP45) / (T34+T45)<1.
9.
14. The optical imaging lens according to any one of claims 1 to 7, characterized in that: The spacer set further includes a second spacer disposed on the image side surface of the second lens and in contact with the image side surface of the second lens; The curvature radius R4 of the image side surface of the second lens and the curvature radius R5 of the object side surface of the third lens satisfy: 0.1<(R4+R5) / (R4-R5)<0.5; and the effective focal length f3 of the third lens, the inner diameter d2s of the object side surface of the second spacer and the inner diameter d3s of the object side surface of the third spacer satisfy: -18.5 <f3 / (d3s-d2s)<-14.0。 15. The optical imaging lens according to any one of claims 1 to 7, characterized in that: The spacer group further includes a second spacer disposed on the image side surface of the second lens and in contact with the image side surface of the second lens, and a second auxiliary spacer disposed on the image side surface of the second spacer and in contact with the image side surface of the second spacer; The air gap T23 between the second lens and the third lens on the optical axis and the maximum thickness CP2b of the second auxiliary spacer satisfy: 4.0 <CP2b / T23<35.0。 16. The optical imaging lens according to any one of claims 1 to 7, characterized in that: The sum ∑CPm of the maximum thicknesses of all spacers in the spacer group having a maximum thickness greater than 0.05 mm satisfies: 2.0 mm<∑CPm<4.5 mm.