CROSS REFERENCE TO RELATED APPLICATION
This application claims priority to P.R.C. Patent Application No. 201710292643.1, filed at on Apr. 28, 2017, which is incorporated herein by its entirety.
TECHNICAL FIELD
The present disclosure relates to an optical imaging lens, and particularly, relates to an optical imaging lens having five lens elements.
BACKGROUND
The ever-increasing demand for smaller sized mobile devices, such as cell phones, digital cameras, tablet computers, personal digital assistants (PDAs), virtual reality (VR) tracker, etc. has resulted in a corresponding need for smaller sized photography modules contained within the device, such as optical imaging lenses, module housing units, image sensors, etc. Application of optical imaging lenses reaches not only photography or video recording, but environmental surveillance, event data recording, VR tracking, face recognition, etc. In a new configuration, for visible light and NIR light, at least one dedicated optical imaging lens may be configured to construct dual band imaging function. Such configuration requires more cost and higher complexity and appearance design may be not easy.
A potential challenge for carrying out a dual band optical imaging lens is focusing for each band at the same time. VCM will adjust the potition of the sensor to focus along with the variation of the distance of the object automatically; however, with regard to a different band, the focus position of the sensor is different. It is not easy to get clear images for visible light and NIR light focusing on a same plane at the same time with a visible light (RGB) and IR light sensor in a dual band optical imaging lens. Additionally, good imaging quality and great half field of view (HFOV) are crucial to the application of the design. A great half field of view represents capability to detect great space but the imaging quality may be decreased and the focusing difficulty may be increased. Accordingly, there is a need for optical imaging lenses which are capable of dual band imaging, with a great HFOV, while also having good imaging quality.
SUMMARY
The present disclosure provides for optical imaging lenses. By controlling the convex or concave shape of the surfaces of the lens elements and satisfying at least one inequality, the HFOV of the optical imaging lens may be broadened while maintaining good imaging quality and system functionality.
In an example embodiment, an optical imaging lens may comprise five lens elements, here called first, second, third, fourth, and fifth lens elements and positioned sequentially from an object side to an image side along an optical axis. Each of the first, second, third, fourth, and fifth lens elements has refracting power, an object-side surface facing toward the object side and an image-side surface facing toward the image side.
In the specification, parameters used here are: a central thickness of the first lens element, represented by T1, an air gap between the first lens element and the second lens element along the optical axis, represented by G12, a central thickness of the second lens element, represented by T2, the distance between an aperture stop and the object-side surface of the next lens element along the optical axis, represented by TA, an air gap between the second lens element and the third lens element along the optical axis, represented by G23, a central thickness of the third lens element, represented by T3, an air gap between the third lens element and the fourth lens element along the optical axis, represented by G34, a central thickness of the fourth lens element, represented by T4, an air gap between the fourth lens element and the fifth lens element along the optical axis, represented by G45, a central thickness of the fifth lens element, represented by T5, a distance between the image-side surface of the fifth lens element and the object-side surface of a filtering unit along the optical axis, represented by GSF, a central thickness of the filtering unit along the optical axis, represented by TF, a distance between the image-side surface of the filtering unit and an image plane along the optical axis, represented by GFP, a focusing length of the first lens element, represented by f1, a focusing length of the second lens element, represented by f2, a focusing length of the third lens element, represented by f3, a focusing length of the fourth lens element, represented by f4, a focusing length of the fifth lens element, represented by f5, the refracting power of the first lens element, represented by n1, the refracting power of the second lens element, represented by n2, the refracting power of the third lens element, represented by n3, the refracting power of the fourth lens element, represented by n4, the refracting power of the fifth lens element, represented by n5, the refracting power of the filtering unit, represented by nf, an abbe number of the first lens element, represented by V1, an abbe number of the second lens element, represented by V2, an abbe number of the third lens element, represented by V3, an abbe number of the fourth lens element, represented by V4, an abbe number of the fifth lens element, represented by V5, an effective focal length of the optical imaging lens, represented by EFL or f, a distance between the object-side surface of the first lens element and the image-side surface of the fifth lens element along the optical axis, represented by TL, a distance between the object-side surface of the first lens element and the image plane along the optical axis, represented by TTL, a sum of the central thicknesses of all five lens elements, i.e. a sum of T1, T2, T3, T4 and T5, represented by ALT, a sum of all four air gaps from the first lens element to the fifth lens element along the optical axis, i.e. a sum of G12, G23, G34 and G45, represented by AAG, and a back focal length of the optical imaging lens, which is defined as the distance from the image-side surface of the fifth lens element to the image plane along the optical axis, i.e. a sum of GSF, TF and GFP, and represented by BFL.
In an example embodiment of the present disclosure, in the optical imaging lens, the first lens element may have negative refracting power, the object-side surface of the second lens element may comprise a concave portion in a vicinity of a periphery of the second lens element, the object-side surface of the third lens element may comprise a concave portion in a vicinity of the optical axis, the object-side surface of the fourth lens element may comprise a convex portion in a vicinity of a periphery of the fourth lens element, the object-side surface of the fifth lens element may comprise a concave portion in a vicinity of the optical axis, and the image-side surface of the fifth lens element may comprise a convex portion in a vicinity of the optical axis. The optical imaging lens may comprise no other lenses having refracting power beyond the five lens elements and satisfy at least one inequality:
AAG/T1≤4.50 Inequality (1).
In another example embodiment of the present disclosure, in the optical imaging lens, the first lens element may have negative refracting power, the object-side surface of the second lens element may comprise a concave portion in a vicinity of a periphery of the second lens element, the object-side surface of the third lens element may comprise a concave portion in a vicinity of the optical axis, the object-side surface of the fourth lens element may comprise a convex portion in a vicinity of a periphery of the fourth lens element, and the object-side surface of the fifth lens element may comprise a concave portion in a vicinity of the optical axis and a concave portion in a vicinity of a periphery of the fifth lens element. The optical imaging lens may comprise no other lenses having refracting power beyond the five lens elements and satisfy the Inequality (1).
In another example embodiment of the present disclosure, in the optical imaging lens, the first lens element may have negative refracting power, the object-side surface of the second lens element may comprise a concave portion in a vicinity of a periphery of the second lens element, the object-side surface of the third lens element may comprise a concave portion in a vicinity of the optical axis, the image-side surface of the third lens element may comprise a convex portion in a vicinity of a periphery of the third lens element, the object-side surface of the fourth lens element may comprise a convex portion in a vicinity of a periphery of the fourth lens element, and the object-side surface of the fifth lens element may comprise a concave portion in a vicinity of the optical axis. The optical imaging lens may comprise no other lenses having refracting power beyond the five lens elements and satisfy the Inequality (1).
In another example embodiment, other inequality(s), such as those relating to the ratio among parameters could be taken into consideration. For example:
(T2+G23+G34)/(T5+G45)≤8 Inequality (2);
TTL/(T1+T5)≤12 Inequality (3);
T3/T5≤5.4 Inequality (4);
(G12+G23+G34)/T5≤7.2 Inequality (5);
EFL/T1≤3.21 Inequality (6);
T3/T1≤3.3 Inequality (7);
(T3+G23+G34)/(T5+G45)≤10 Inequality (8);
ALT/(T1+T5)≤7 Inequality (9);
T4/T5≤6 Inequality (10);
ALT/T2≤5 Inequality (11);
EFL/T5≤5.01 Inequality (12);
T4/T1≤3.11 Inequality (13);
(T4+G23+G34)/(T5+G45)≤10 Inequality (14);
BFL/(T1+T5)≤4 Inequality (15);
AAG/T5≤7.21 Inequality (16);
TL/T2≤7.2 Inequality (17); and/or
V1>V2+V5 Inequality (18).
In some exemple embodiments, more details about the convex or concave surface structure, refracting power, etc. may be incorporated for one specific lens element or broadly for plural lens elements to enhance the control for the system performance and/or resolution. It is noted that the details listed here could be incorporated in example embodiments if no inconsistency occurs.
The above example embodiments are not limited and could be selectively incorporated in other embodiments described herein.
By controlling the convex or concave shape of the surfaces and at lease one inequality, the optical imaging lens in example embodiments achieve good imaging quality and effectively broaden the HFOV of the optical imaging lens.
BRIEF DESCRIPTION OF THE DRAWINGS
Example embodiments will be more readily understood from the following detailed description when read in conjunction with the appended drawing, in which:
FIG. 1 depicts a cross-sectional view of one single lens element according to the present disclosure;
FIG. 2 depicts a cross-sectional view showing the relation between the shape of a portion and the position where a collimated ray meets the optical axis;
FIG. 3 depicts a cross-sectional view showing the relation between the shape of a portion and the effective radius of a first example;
FIG. 4 depicts a cross-sectional view showing the relation between the shape of a portion and the effective radius of a second example;
FIG. 5 depicts a cross-sectional view showing the relation between the shape of a portion and the effective radius of a third example;
FIG. 6 depicts a cross-sectional view of a first embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 7 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a first embodiment of the optical imaging lens according to the present disclosure;
FIG. 8 depicts a table of optical data for each lens element of a first embodiment of an optical imaging lens according to the present disclosure;
FIG. 9 depicts a table of aspherical data of a first embodiment of the optical imaging lens according to the present disclosure;
FIG. 10 depicts a cross-sectional view of a second embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 11 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a second embodiment of the optical imaging lens according to the present disclosure;
FIG. 12 depicts a table of optical data for each lens element of the optical imaging lens of a second embodiment of the present disclosure;
FIG. 13 depicts a table of aspherical data of a second embodiment of the optical imaging lens according to the present disclosure;
FIG. 14 depicts a cross-sectional view of a third embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 15 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a third embodiment of the optical imaging lens according the present disclosure;
FIG. 16 depicts a table of optical data for each lens element of the optical imaging lens of a third embodiment of the present disclosure;
FIG. 17 depicts a table of aspherical data of a third embodiment of the optical imaging lens according to the present disclosure;
FIG. 18 depicts a cross-sectional view of a fourth embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 19 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a fourth embodiment of the optical imaging lens according the present disclosure;
FIG. 20 depicts a table of optical data for each lens element of the optical imaging lens of a fourth embodiment of the present disclosure;
FIG. 21 depicts a table of aspherical data of a fourth embodiment of the optical imaging lens according to the present disclosure;
FIG. 22 depicts a cross-sectional view of a fifth embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 23 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a fifth embodiment of the optical imaging lens according the present disclosure;
FIG. 24 depicts a table of optical data for each lens element of the optical imaging lens of a fifth embodiment of the present disclosure;
FIG. 25 depicts a table of aspherical data of a fifth embodiment of the optical imaging lens according to the present disclosure;
FIG. 26 depicts a cross-sectional view of a sixth embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 27 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a sixth embodiment of the optical imaging lens according the present disclosure;
FIG. 28 depicts a table of optical data for each lens element of the optical imaging lens of a sixth embodiment of the present disclosure;
FIG. 29 depicts a table of aspherical data of a sixth embodiment of the optical imaging lens according to the present disclosure;
FIG. 30 depicts a cross-sectional view of a seventh embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 31 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a seventh embodiment of the optical imaging lens according to the present disclosure;
FIG. 32 depicts a table of optical data for each lens element of a seventh embodiment of an optical imaging lens according to the present disclosure;
FIG. 33 depicts a table of aspherical data of a seventh embodiment of the optical imaging lens according to the present disclosure;
FIG. 34 depicts a cross-sectional view of an eighth embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 35 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of an eighth embodiment of the optical imaging lens according to the present disclosure;
FIG. 36 depicts a table of optical data for each lens element of the optical imaging lens of an eighth embodiment of the present disclosure;
FIG. 37 depicts a table of aspherical data of an eighth embodiment of the optical imaging lens according to the present disclosure;
FIG. 38 depicts a cross-sectional view of a ninth embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 39 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a ninth embodiment of the optical imaging lens according to the present disclosure;
FIG. 40 depicts a table of optical data for each lens element of a ninth embodiment of an optical imaging lens according to the present disclosure;
FIG. 41 depicts a table of aspherical data of a ninth embodiment of the optical imaging lens according to the present disclosure;
FIG. 42 depicts a cross-sectional view of a tenth embodiment of an optical imaging lens having five lens elements according to the present disclosure;
FIG. 43 depicts a chart of longitudinal spherical aberration and other kinds of optical aberrations of a tenth embodiment of the optical imaging lens according to the present disclosure;
FIG. 44 depicts a table of optical data for each lens element of the optical imaging lens of a tenth embodiment of the present disclosure;
FIG. 45 depicts a table of aspherical data of a tenth embodiment of the optical imaging lens according to the present disclosure;
FIG. 46 depicts a table for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of all ten example embodiments.
DETAILED DESCRIPTION
For a more complete understanding of the present disclosure and its advantages, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like reference numbers indicate like features. Persons having ordinary skill in the art will understand other varieties for implementing example embodiments, including those described herein. The drawings are not limited to specific scale and similar reference numbers are used for representing similar elements. As used in the disclosures and the appended claims, the terms “example embodiment,” “exemplary embodiment,” and “present embodiment” do not necessarily refer to a single embodiment, although it may, and various example embodiments may be readily combined and interchanged, without departing from the scope or spirit of the present disclosure. Furthermore, the terminology as used herein is for the purpose of describing example embodiments only and is not intended to be a limitation of the disclosure. In this respect, as used herein, the term “in” may include “in” and “on”, and the terms “a”, “an” and “the” may include singular and plural references. Furthermore, as used herein, the term “by” may also mean “from”, depending on the context. Furthermore, as used herein, the term “if” may also mean “when” or “upon”, depending on the context. Furthermore, as used herein, the words “and/or” may refer to and encompass any and all possible combinations of one or more of the associated listed items.
In the present specification, the description “a lens element having positive refracting power (or negative refracting power)” means that the paraxial refracting power of the lens element in Gaussian optics is positive (or negative). The description “An object-side (or image-side) surface of a lens element” only includes a specific region of that surface of the lens element where imaging rays are capable of passing through that region, namely the clear aperture of the surface. The aforementioned imaging rays can be classified into two types, chief ray Lc and marginal ray Lm. Taking a lens element depicted in FIG. 1 as an example, the lens element is rotationally symmetric, where the optical axis I is the axis of symmetry. The region A of the lens element is defined as “a portion in a vicinity of the optical axis”, and the region C of the lens element is defined as “a portion in a vicinity of a periphery of the lens element”. Besides, the lens element may also have an extending portion E extended radially and outwardly from the region C, namely the portion outside of the clear aperture of the lens element. The extending portion E is usually used for physically assembling the lens element into an optical imaging lens system. Under normal circumstances, the imaging rays may not pass through the extending portion E because those imaging rays may only pass through the clear aperture. The structures and shapes of the aforementioned extending portion E are provided solely as examples for technical explanation, the structures and shapes of lens elements should not be limited to these examples. Note that the extending portions of the lens element surfaces depicted in the following embodiments are partially omitted.
The following criteria are provided for determining the shapes and the portions of lens element surfaces set forth in the present specification. These criteria mainly determine the boundaries of portions under various circumstances including the portion in a vicinity of the optical axis, the portion in a vicinity of a periphery of a lens element surface, and other types of lens element surfaces such as those having multiple portions.
FIG. 1 is a radial cross-sectional view of a lens element. Before determining boundaries of those described portions, two referential points should be defined first, central point and transition point. The central point of a surface of a lens element is a point of intersection of that surface and the optical axis. The transition point is a point on a surface of a lens element, where the tangent line of that point is perpendicular to the optical axis. Additionally, if multiple transition points appear on one single surface, then these transition points are sequentially named along the radial direction of the surface with numbers starting from the first transition point. For instance, the first transition point (closest one to the optical axis), the second transition point, and the Nth transition point (farthest one to the optical axis within the scope of the clear aperture of the surface). The portion of a surface of the lens element between the central point and the first transition point is defined as the portion in a vicinity of the optical axis. The portion located radially outside of the Nth transition point (but still within the scope of the clear aperture) is defined as the portion in a vicinity of a periphery of the lens element. In some embodiments, there are other portions existing between the portion in a vicinity of the optical axis and the portion in a vicinity of a periphery of the lens element; the numbers of portions depend on the numbers of the transition point(s). In addition, the radius of the clear aperture (or a so-called effective radius) of a surface is defined as the radial distance from the optical axis I to a point of intersection of the marginal ray Lm and the surface of the lens element.
Referring to FIG. 2, determining whether the shape of a portion is convex or concave depends on whether a collimated ray passing through that portion converges or diverges. That is, while applying a collimated ray to a portion to be determined in terms of shape, the collimated ray passing through that portion will be bended and the ray itself or its extension line will eventually meet the optical axis. The shape of that portion can be determined by whether the ray or its extension line meets (intersects) the optical axis (focal point) at the object-side or image-side. For instance, if the ray itself intersects the optical axis at the image side of the lens element after passing through a portion, i.e. the focal point of this ray is at the image side (see point R in FIG. 2), the portion will be determined as having a convex shape. On the contrary, if the ray diverges after passing through a portion, the extension line of the ray intersects the optical axis at the object side of the lens element, i.e. the focal point of the ray is at the object side (see point M in FIG. 2), that portion will be determined as having a concave shape. Therefore, referring to FIG. 2, the portion between the central point and the first transition point has a convex shape, the portion located radially outside of the first transition point has a concave shape, and the first transition point is the point where the portion having a convex shape changes to the portion having a concave shape, namely the border of two adjacent portions. Alternatively, there is another common way for a person with ordinary skill in the art to tell whether a portion in a vicinity of the optical axis has a convex or concave shape by referring to the sign of an “R” value, which is the (paraxial) radius of curvature of a lens surface. The R value which is commonly used in conventional optical design software such as Zemax and CodeV. The R value usually appears in the lens data sheet in the software. For an object-side surface, positive R means that the object-side surface is convex, and negative R means that the object-side surface is concave. Conversely, for an image-side surface, positive R means that the image-side surface is concave, and negative R means that the image-side surface is convex. The result found by using this method should be consistent as by using the other way mentioned above, which determines surface shapes by referring to whether the focal point of a collimated ray is at the object side or the image side.
For none transition point cases, the portion in a vicinity of the optical axis is defined as the portion between 0˜50% of the effective radius (radius of the clear aperture) of the surface, whereas the portion in a vicinity of a periphery of the lens element is defined as the portion between 50˜100% of effective radius (radius of the clear aperture) of the surface.
Referring to the first example depicted in FIG. 3, only one transition point, namely a first transition point, appears within the clear aperture of the image-side surface of the lens element. Portion I is a portion in a vicinity of the optical axis, and portion II is a portion in a vicinity of a periphery of the lens element. The portion in a vicinity of the optical axis is determined as having a concave surface due to the R value at the image-side surface of the lens element is positive. The shape of the portion in a vicinity of a periphery of the lens element is different from that of the radially inner adjacent portion, i.e. the shape of the portion in a vicinity of a periphery of the lens element is different from the shape of the portion in a vicinity of the optical axis; the portion in a vicinity of a periphery of the lens element has a convex shape.
Referring to the second example depicted in FIG. 4, a first transition point and a second transition point exist on the object-side surface (within the clear aperture) of a lens element. In which portion I is the portion in a vicinity of the optical axis, and portion III is the portion in a vicinity of a periphery of the lens element. The portion in a vicinity of the optical axis has a convex shape because the R value at the object-side surface of the lens element is positive. The portion in a vicinity of a periphery of the lens element (portion III) has a convex shape. What is more, there is another portion having a concave shape existing between the first and second transition point (portion II).
Referring to a third example depicted in FIG. 5, no transition point exists on the object-side surface of the lens element. In this case, the portion between 0˜50% of the effective radius (radius of the clear aperture) is determined as the portion in a vicinity of the optical axis, and the portion between 50˜100% of the effective radius is determined as the portion in a vicinity of a periphery of the lens element. The portion in a vicinity of the optical axis of the object-side surface of the lens element is determined as having a convex shape due to its positive R value, and the portion in a vicinity of a periphery of the lens element is determined as having a convex shape as well.
In the present disclosure, examples of an optical imaging lens which is a prime lens are provided. Example embodiments of an optical imaging lens may comprise a first lens element, a second lens element, a third lens element, a fourth lens element and a fifth lens element. Each of the lens elements may comprise refracting power, an object-side surface facing toward an object side and an image-side surface facing toward an image side and a central thickness defined along the optical axis. These lens elements may be arranged sequentially from the object side to the image side along an optical axis, and example embodiments of the lens may comprise no other lenses having refracting power beyond the five lens elements. Through controlling the convex or concave shape of the surfaces and at lease one inequality, the optical imaging lens in example embodiments achieve good imaging quality and effectively broaden the HFOV of the optical imaging lens.
Preferably, the lens elements are designed in light of the optical characteristics and the length of the optical imaging lens. For example, the negative refracting power of the first lens element, the concave portion in a vicinity of the periphery formed on the object-side surface of the second lens element, and the aperture stop between the second and third lens elements may assist in enlarging the HFOV angle over 50 degrees. The concave portion in a vicinity of the optical axis formed on the object-side surface of the third lens element and the aperture stop between the second and third lens elements may assist in focusing and forming an image with for visible light as well as IR light. Preferably, together with the concave portion in a vicinity of the periphery formed on the object-side surface of the third lens element, the imaging quality may be improved enen better. The convex portion in a vicinity of the periphery formed on the object-side surface of the fourth lens element may assist in adjusting the aberration which occurs in the third lens element. The concave portion in a vicinity of the optical axis formed on the object-side surface of the fifth lens element may facilitate adjustment for the aberration which occurs in the fourth lens element. Preferably, together with the concave portion in a vicinity of the periphery formed on the object-side surface of the fifth lens element and/or the convex portion in a vicinity of the optical axis formed on the image-side surface of the fifth lens element, the abberations may be properly adjusted even more. By satisfying with the Inequality (1), the values of AAG and T1 are within a proper range to control the production difficulty which may be great when T1 is too small, and preferably, the value of AAG/T1 may be limited between 0.8˜4.5 to avoid an excessive value of T1, which may increase difficulty in enlarging HFOV or increase system length of the optical imaging lens.
When the Inequality (18) is satisfied, the chromatic aberration of the optical imaging lens may be adjusted to facilitate the dual band function.
Additionally, to keep values of system focal length and other parameters of the optical imaging lens in a proper range, to avoid from any excessive value of the parameters which is unfavorable to adjust aberration of the whole system of the optical imaging lens, and to avoid from any insufficient value of the parameters which increase the production difficulty of the optical imaging lens, here are provided Inequalities (6) and (12). The optical imaging lens may be better configured if it satisfies Inequality (6), preferably, further meets the range within 1˜3.21; and Inequality (12), preferably, further meets the range within 2.59˜5.01
To sustain the relation between the thickness of the lens elements and/or the air gaps between the lens elements a proper value, to avoid from any excessive value of the parameters which is unfavorable to thicken the length of the whole system of the optical imaging lens, and to avoid from any insufficient value of the parameters which increase the production difficulty of the optical imaging lens, the optical imaging lens may be better configured if it satisfies Inequalities (2)˜(5), (7)˜(11) and/or (13)(17). Preferably, the value of (T2+G23+G34)/(T5+G45) may preferably be within about 3.49˜8; the value of TTL/(T1+T5) may preferably be within 4.99˜12; the value of T3/T5 may preferably be within about 1.59˜5.4; the value of (G12+G23+G34)/T5 may preferably be within about 1.79˜7.2; the value of T3/T1 may preferably be within about 0.79˜3.3; the value of (T3+G23+G34)/(T5+G45) may preferably be within about 0.86˜10; the value of ALT/(T1+T5) may preferably be within about 3˜7; the value of T4/T5 may preferably be within about 2˜6; the value of ALT/T2 may preferably be within about 2˜5; the value of T4/T1 may preferably be within about 1˜3.11; the value of (T4+G23+G34)/(T5+G45) may preferably be within about 2.19˜10; the value of BFL/(T1+T5) may preferably be within about 0.99˜4; the value of AAG/T5 may preferably be within about 1.5˜7.21; and the value of TL/T2 may preferably be within about 2˜7.2.
In light of the unpredictability in an optical system, in the present disclosure, satisfying these inequalities listed above may result in shortening the length of the optical imaging lens, lowering the f-number, enlarging the shot angle, promoting the imaging quality and/or increasing the yield in the assembly process.
When implementing example embodiments, more details about the convex or concave surface or refracting power could be incorporated for one specific lens element or broadly for plural lens elements to enhance the control for the system performance and/or resolution, or promote the yield. For example, in an exemple embodiment, the first lens element may have negative refracting power. It is noted that the details listed here could be incorporated in example embodiments if no inconsistency occurs.
Several example embodiments and associated optical data will now be provided for illustrating example embodiments of an optical imaging lens with short length, good optical characteristics, a wide view angle and/or a low f-number. Reference is now made to FIGS. 6-9. FIG. 6 illustrates an example cross-sectional view of an optical imaging lens 1 having five lens elements of the optical imaging lens according to a first example embodiment. FIG. 7 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 1 according to an example embodiment. FIG. 8 illustrates an example table of optical data of each lens element of the optical imaging lens 1 according to an example embodiment. FIG. 9 depicts an example table of aspherical data of the optical imaging lens 1 according to an example embodiment.
As shown in FIG. 6, the optical imaging lens 1 of the present embodiment may comprise, in order from an object side A1 to an image side A2 along an optical axis, a first lens element 110, a second lens element 120, an aperture stop 100, a third lens element 130, a fourth lens element 140 and a fifth lens element 150. A filtering unit 160 and an image plane 170 of an image sensor are positioned at the image side A2 of the optical lens 1. Each of the first, second, third, fourth and fifth lens elements 110, 120, 130, 140, 150 and the filtering unit 160 may comprise an object-side surface 111/121/131/141/151/161 facing toward the object side A1 and an image-side surface 112/122/132/142/152/162 facing toward the image side A2. The filtering unit 160, positioned between the fifth lens element 150 and the image plane 170, selectively absorbs light with specific wavelength from the light passing optical imaging lens 1. For example, a band of light may be absorbed, and this may prohibit the band of light from producing an image on the image plane 170.
Please note that during the normal operation of the optical imaging lens 1, the distance between any two adjacent lens elements of the first, second, third, fourth and fifth lens elements 110, 120, 130, 140, 150 is a unchanged value, i.e. the optical imaging lens 1 is a prime lens.
Example embodiments of each lens element of the optical imaging lens 1, which may be constructed by glass, plastic material or other transparent material will now be described with reference to the drawings.
An example embodiment of the first lens element 110, which may be constructed by plastic material, may have negative refracting power. The object-side surface 111 may be a convex surface comprising a convex portion 1111 in a vicinity of the optical axis and a convex portion 1112 in a vicinity of a periphery of the first lens element 110. The image-side surface 112 may be a concave surface comprising a concave portion 1121 in a vicinity of the optical axis and a concave portion 1122 in a vicinity of the periphery of the first lens element 110.
An example embodiment of the second lens element 120, which may be constructed by plastic material, may have positive refracting power. The object-side surface 121 may be a concave surface comprising a concave portion 1211 in a vicinity of the optical axis and a concave portion 1212 in a vicinity of a periphery of the second lens element 120. The image-side surface 122 may comprise a convex portion 1221 in a vicinity of the optical axis and a concave portion 1222 in a vicinity of the periphery of the second lens element 120.
An example embodiment of the third lens element 130, which may be constructed by plastic material, may have positive refracting power. The object-side surface 131 may be a concave surface comprising a concave portion 1311 in a vicinity of the optical axis and a concave portion 1312 in a vicinity of a periphery of the third lens element 130. The image-side surface 132 may be a convex surface comprising a convex portion 1321 in a vicinity of the optical axis and a convex portion 1322 in a vicinity of the periphery of the third lens element 130.
An example embodiment of the fourth lens element 140, which may be constructed by plastic material, may have positive refracting power. The object-side surface 141 may be a convex surface comprising a convex portion 1411 in a vicinity of the optical axis and a convex portion 1412 in a vicinity of a periphery of the fourth lens element 140. The image-side surface 142 may be a convex surface comprising a convex portion 1421 in a vicinity of the optical axis and a convex portion 1422 in a vicinity of the periphery of the fourth lens element 140.
An example embodiment of the fifth lens element 150, which may be constructed by plastic material, may have negative refracting power. The object-side surface 151 may be a concave surface comprising a concave portion 1511 in a vicinity of the optical axis and a concave portion 1512 in a vicinity of a periphery of the fifth lens element 150. The image-side surface 152 may comprise a convex portion 1521 in a vicinity of the optical axis and a concave portion 1522 in a vicinity of the periphery of the fifth lens element 150.
In example embodiments, air gaps may exist between each pair of adjacent lens elements, as well as between the fifth lens element 150 and the filtering unit 160, and the filtering unit 160 and the image plane 170 of the image sensor. For example, FIG. 1 illustrates the air gap d1 existing between the first lens element 110 and the second lens element 120, the air gap d2 existing between the second lens element 120 and the third lens element 130, the air gap d3 existing between the third lens element 130 and the fourth lens element 140, the air gap d4 existing between the fourth lens element 140 and the fifth lens element 150, the air gap d5 existing between the fifth lens element 150 and the filtering unit 160, and the air gap d6 existing between the filtering unit 160 and the image plane 170 of the image sensor. The air gap d1 is denoted by G12, the air gap d2 is denoted by G23, the air gap d3 is denoted by G34, the air gap d4 is denoted by G45, and the sum of d1, d2, d3 and d4 equals to AAG. Please note, in other embodiments, any of the aforementioned air gaps may or may not exist. For example, the profiles of opposite surfaces of any two adjacent lens elements may correspond to each other, and in such situations, the air gap may not exist.
FIG. 8 depicts the optical characteristics of each lens elements in the optical imaging lens 1 of the present embodiment, and please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 corresponding to the present embodiment.
The aspherical surfaces, including the object-side surface 111 and the image-side surface 112 of the first lens element 110, the object-side surface 121 and the image-side surface 122 of the second lens element 120, the object-side surface 131 and the image-side surface 132 of the third lens element 130, the object-side surface 141 and the image-side surface 142 of the fourth lens element 140 and the object-side surface 151 and the image-side surface 152 of the fifth lens element 150, are all defined by the following aspherical formula:
wherein, Y represents the perpendicular distance between the point of the aspherical surface and the optical axis; Z represents the depth of the aspherical surface (the perpendicular distance between the point of the aspherical surface at a distance Y from the optical axis and the tangent plane of the vertex on the optical axis of the aspherical surface); R represents the radius of curvature of the surface of the lens element; K represents a conic constant; and a, represents an aspherical coefficient of ith level. The values of each aspherical parameter are shown in FIG. 9.
FIGS. 7(a), 7(b), 7(c) and 7(d) show example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 1 with regard to three different wavelengths (470 nm, 555 nm, 650 nm) in the band of visible light, and FIGS. 7(e), 7(f), 7(g) and 7(h) show example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 1 with regard to three different wavelengths (830 nm, 850 nm, 870 nm) in the band of IR light. In FIGS. 7(a) and 7(e), longitudinal spherical aberration of the optical imaging lens in the present embodiment is shown in coordinates in which the horizontal axis represents focus and the vertical axis represents field of view, and in FIGS. 7(b) and 7(f), astigmatism aberration of the optical imaging lens in the present embodiment in the sagittal direction is shown in coordinates in which the horizontal axis represents focus and the vertical axis represents image height, and in FIGS. 7(c) and 7(g), astigmatism aberration in the tangential direction of the optical imaging lens in the present embodiment is shown in coordinates in which the horizontal axis represents focus and the vertical axis represents image height, and in FIGS. 7(d) and 7(h), distortion aberration of the optical imaging lens in the present embodiment is shown in coordinates in which the horizontal axis represents percentage and the vertical axis represents image height. Please note that the example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens of other embodiments are shown in a similar way.
Please refer to FIGS. 7(a), 7(b), 7(c) and 7(d). The curves of different wavelengths (470 nm, 555 nm, 650 nm) are closed to each other. This represents that off-axis light with regard to these wavelengths is focused around an image point. From the vertical deviation of each curve shown therein, the offset of the off-axis light relative to the image point may be within about ±0.02 mm. Therefore, the present embodiment improves the longitudinal spherical aberration with regard to different wavelengths. For astigmatism aberration in the sagittal direction, the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.06 mm, for astigmatism aberration in the tangential direction, the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.08 mm, and the variation of the distortion aberration may be within about ±35%.
Please refer to FIGS. 7(e), 7(f), 7(g) and 7(h). The curves of different wavelengths (830 nm, 850 nm, 870 nm) are closed to each other. This represents that off-axis light with regard to these wavelengths is focused around an image point. From the vertical deviation of each curve shown therein, the offset of the off-axis light relative to the image point may be within about ±0.016 mm. Therefore, the present embodiment improves the longitudinal spherical aberration with regard to different wavelengths. For astigmatism aberration in the sagittal direction, the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.02 mm, for astigmatism aberration in the tangential direction, the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.05 mm, and the variation of the distortion aberration may be within about ±35%.
According to the value of the aberrations, it is shown that the optical imaging lens 1 of the present embodiment, with the HFOV as great as about 66.205 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 10-13. FIG. 10 illustrates an example cross-sectional view of an optical imaging lens 2 having five lens elements of the optical imaging lens according to a second example embodiment. FIG. 11 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 2 according to the second example embodiment. FIG. 12 shows an example table of optical data of each lens element of the optical imaging lens 2 according to the second example embodiment. FIG. 13 shows an example table of aspherical data of the optical imaging lens 2 according to the second example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 2, for example, reference number 231 for labeling the object-side surface of the third lens element 230, reference number 232 for labeling the image-side surface of the third lens element 230, etc.
As shown in FIG. 10, the optical imaging lens 2 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 210, a second lens element 220, an aperture stop 200, a third lens element 230, a fourth lens element 240 and a fifth lens element 250.
The differences between the second embodiment and the first embodiment may include the radius of curvature, thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surface 231; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 211, 221, 241, 251 facing to the object side A1 and the image-side surfaces 212, 222, 232, 242, 252 facing to the image side A2, are similar to those in the first embodiment. Here and in the embodiments hereinafter, for clearly showing the drawings of the present embodiment, only the surface shapes which are different from that in the first embodiment are labeled. Specifically, the difference of configuration of surface shape is: the object-side surface 231 of the third lens element 230 may comprise a convex portion 2312 in a vicinity of a periphery of the third lens element 230. Please refer to FIG. 12 for the optical characteristics of each lens elements in the optical imaging lens 2 the present embodiment, and please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 11(a), 11(b), 11(c) and 11(d). As the longitudinal spherical aberration shown in FIG. 11(a), the offset of the off-axis light relative to the image point may be within about ±0.03 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 11(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.04 mm. As the astigmatism aberration in the tangential direction shown in FIG. 11(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.16 mm. As shown in FIG. 11(d), the variation of the distortion aberration may be within about ±40%. Compared with the first embodiment, the astigmatism aberration in the sagittal direction of the optical imaging lens 2 is less.
With regard to the IR light band, please refer to FIGS. 11(e), 11(f), 11(g) and 11(h). As the longitudinal spherical aberration shown in FIG. 11(e), the offset of the off-axis light relative to the image point may be within about ±0.04 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 11(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.06 mm. As the astigmatism aberration in the tangential direction shown in FIG. 11(g), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.1 mm. As shown in FIG. 11(h), the variation of the distortion aberration may be within about ±40%.
According to the value of the aberrations, it is shown that the optical imaging lens 2 of the present embodiment, with the HFOV as large as about 66.991 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 14-17. FIG. 14 illustrates an example cross-sectional view of an optical imaging lens 3 having five lens elements of the optical imaging lens according to a third example embodiment. FIG. 15 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 3 according to the third example embodiment. FIG. 16 shows an example table of optical data of each lens element of the optical imaging lens 3 according to the third example embodiment. FIG. 17 shows an example table of aspherical data of the optical imaging lens 3 according to the third example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 3, for example, reference number 331 for labeling the object-side surface of the third lens element 330, reference number 332 for labeling the image-side surface of the third lens element 330, etc.
As shown in FIG. 14, the optical imaging lens 3 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 310, a second lens element 320, an aperture stop 300, a third lens element 330, a fourth lens element 340 and a fifth lens element 350.
The differences between the third embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surfaces 331; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 311, 321, 341, 351 facing to the object side A1 and the image-side surfaces 312, 322, 332, 342, 352 facing to the image side A2, are similar to those in the first embodiment. Specifically, the difference of configuration of surface shape is: the object-side surface 331 of the third lens element 330 may comprise a convex portion 3312 in a vicinity of a periphery of the third lens element 330. Please refer to FIG. 16 for the optical characteristics of each lens elements in the optical imaging lens 3 of the present embodiment, and please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 15(a), 15(b), 15(c) and 15(d). As the longitudinal spherical aberration shown in FIG. 15(a), the offset of the off-axis light relative to the image point may be within about ±0.06 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 15(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.15 mm. As the astigmatism aberration in the tangential direction shown in FIG. 15(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.25 mm. As shown in FIG. 15(d), the variation of the distortion aberration may be within about ±35%.
With regard to the IR light band, please refer to FIGS. 15(e), 15(f), 15(g) and 15(h). As the longitudinal spherical aberration shown in FIG. 15(e), the offset of the off-axis light relative to the image point may be within about ±0.04 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 15(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.1 mm. As the astigmatism aberration in the tangential direction shown in FIG. 15(g), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.4 mm. As shown in FIG. 11(h), the variation of the distortion aberration may be within about ±35%.
According to the value of the aberrations, it is shown that the optical imaging lens 3 of the present embodiment, with the HFOV as large as about 66.282 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 18-21. FIG. 18 illustrates an example cross-sectional view of an optical imaging lens 4 having five lens elements of the optical imaging lens according to a fourth example embodiment. FIG. 19 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 4 according to the fourth embodiment. FIG. 20 shows an example table of optical data of each lens element of the optical imaging lens 4 according to the fourth example embodiment. FIG. 21 shows an example table of aspherical data of the optical imaging lens 4 according to the fourth example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 4, for example, reference number 431 for labeling the object-side surface of the third lens element 430, reference number 432 for labeling the image-side surface of the third lens element 430, etc.
As shown in FIG. 18, the optical imaging lens 4 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 410, a second lens element 420, an aperture stop 400, a third lens element 430, a fourth lens element 440 and a fifth lens element 450.
The differences between the fourth embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data and related optical parameters, such as back focal length; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 411, 421, 431, 441, 451 facing to the object side A1 and the image-side surfaces 412, 422, 432, 442, 452 facing to the image side A2, are similar to those in the first embodiment. Please refer to FIG. 20 for the optical characteristics of each lens elements in the optical imaging lens 4 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 19(a), 19(b), 19(c) and 19(d). As the longitudinal spherical aberration shown in FIG. 19(a), the offset of the off-axis light relative to the image point may be within about ±0.04 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 19(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.1 mm. As the astigmatism aberration in the tangential direction shown in FIG. 19(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.1 mm. As shown in FIG. 19(d), the variation of the distortion aberration may be within about ±45%.
With regard to the IR light band, please refer to FIGS. 19(e), 19(f), 19(g) and 19(h). As the longitudinal spherical aberration shown in FIG. 19(e), the offset of the off-axis light relative to the image point may be within about ±0.03 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 19(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.03 mm. As the astigmatism aberration in the tangential direction shown in FIG. 19(g), the focus variation with regard to the three wavelengths in the whole field may fall within about +0.04 mm. As shown in FIG. 19(h), the variation of the distortion aberration may be within about ±40%. Compared with the first embodiment, the astigmatism aberration in the tangential direction of the optical imaging lens 4 is less.
According to the value of the aberrations, it is shown that the optical imaging lens 4 of the present embodiment, with the HFOV as large as about 67.289 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 22-25. FIG. 22 illustrates an example cross-sectional view of an optical imaging lens 5 having five lens elements of the optical imaging lens according to a fifth example embodiment. FIG. 23 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 5 according to the fifth embodiment. FIG. 24 shows an example table of optical data of each lens element of the optical imaging lens 5 according to the fifth example embodiment. FIG. 25 shows an example table of aspherical data of the optical imaging lens 5 according to the fifth example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 5, for example, reference number 531 for labeling the object-side surface of the third lens element 530, reference number 532 for labeling the image-side surface of the third lens element 530, etc.
As shown in FIG. 22, the optical imaging lens 5 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 510, a second lens element 520, an aperture stop 500, a third lens element 530, a fourth lens element 540 and a fifth lens element 550.
The differences between the fifth embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surface 511; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 521, 531, 541, 551 facing to the object side A1 and the image-side surfaces 512, 522, 532, 542, 552 facing to the image side A2, are similar to those in the first embodiment. Specifically, the difference of configuration of surface shape is: the object-side surface 511 of the first lens element 510 may comprise a concave portion 5111 in a vicinity of the optical axis. Please refer to FIG. 24 for the optical characteristics of each lens elements in the optical imaging lens 5 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 23(a), 23(b), 23(c) and 23(d). As the longitudinal spherical aberration shown in FIG. 23(a), the offset of the off-axis light relative to the image point may be within about ±0.04 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 23(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.14 mm. As the astigmatism aberration in the tangential direction shown in FIG. 23(c), the focus variation with regard to the three wavelengths in the whole field may fall within about +0.18 mm. As shown in FIG. 23(d), the variation of the distortion aberration may be within about ±40%.
With regard to the IR light band, please refer to FIGS. 23(e), 23(f), 23(g) and 23(h). As the longitudinal spherical aberration shown in FIG. 23(e), the offset of the off-axis light relative to the image point may be within about ±0.03 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 23(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.06 mm. As the astigmatism aberration in the tangential direction shown in FIG. 23(g), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.12 mm. As shown in FIG. 23(h), the variation of the distortion aberration may be within about ±40%.
According to the value of the aberrations, it is shown that the optical imaging lens 5 of the present embodiment, with the HFOV as large as about 66.495 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 26-29. FIG. 26 illustrates an example cross-sectional view of an optical imaging lens 6 having five lens elements of the optical imaging lens according to a sixth example embodiment. FIG. 27 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 6 according to the sixth embodiment. FIG. 28 shows an example table of optical data of each lens element of the optical imaging lens 6 according to the sixth example embodiment. FIG. 29 shows an example table of aspherical data of the optical imaging lens 6 according to the sixth example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 6, for example, reference number 631 for labeling the object-side surface of the third lens element 630, reference number 632 for labeling the image-side surface of the third lens element 630, etc.
As shown in FIG. 26, the optical imaging lens 6 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 610, a second lens element 620, an aperture stop 600, a third lens element 630, a fourth lens element 640 and a fifth lens element 650.
The differences between the sixth embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surface 611; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 621, 631, 641, 651 facing to the object side A1 and the image-side surfaces 612, 622, 632, 642, 652 facing to the image side A2, are similar to those in the first embodiment. Specifically, the difference of configuration of surface shape is: the object-side surface 611 of the first lens element 610 may comprise a concave portion 6111 in a vicinity of the optical axis. Please refer to FIG. 28 for the optical characteristics of each lens elements in the optical imaging lens 6 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 27(a), 27(b), 27(c) and 27(d). As the longitudinal spherical aberration shown in FIG. 27(a), the offset of the off-axis light relative to the image point may be within about ±0.07 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 27(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.04 mm. As the astigmatism aberration in the tangential direction shown in FIG. 27(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.18 mm. As shown in FIG. 27(d), the variation of the distortion aberration may be within about ±50%.
With regard to the IR light band, please refer to FIGS. 27(e), 27(f), 27(g) and 27(h). As the longitudinal spherical aberration shown in FIG. 27(e), the offset of the off-axis light relative to the image point may be within about ±0.035 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 27(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.06 mm. As the astigmatism aberration in the tangential direction shown in FIG. 27(g), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.14 mm. As shown in FIG. 27(h), the variation of the distortion aberration may be within about ±50%.
According to the value of the aberrations, it is shown that the optical imaging lens 6 of the present embodiment, with the HFOV as large as about 67.842 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 30-33. FIG. 30 illustrates an example cross-sectional view of an optical imaging lens 7 having five lens elements of the optical imaging lens according to a seventh example embodiment. FIG. 31 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 7 according to the seventh embodiment. FIG. 32 shows an example table of optical data of each lens element of the optical imaging lens 7 according to the seventh example embodiment. FIG. 33 shows an example table of aspherical data of the optical imaging lens 7 according to the seventh example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 7, for example, reference number 731 for labeling the object-side surface of the third lens element 730, reference number 732 for labeling the image-side surface of the third lens element 730, etc.
As shown in FIG. 30, the optical imaging lens 7 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 710, a second lens element 720, an aperture stop 700, a third lens element 730, a fourth lens element 740 and a fifth lens element 750.
The differences between the seventh embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surfaces 711; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 721, 731, 741, 751 facing to the object side A1 and the image-side surfaces 712, 722, 732, 742, 752 facing to the image side A2, are similar to those in the first embodiment. Specifically, the difference of configuration of surface shape is: the object-side surface 711 of the first lens element 710 may comprise a concave portion 7111 in a vicinity of the optical axis. Please refer to FIG. 32 for the optical characteristics of each lens elements in the optical imaging lens 7 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 31(a), 31(b), 31(c) and 31(d). As the longitudinal spherical aberration shown in FIG. 31(a), the offset of the off-axis light relative to the image point may be within about ±0.025 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 31(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.08 mm. As the astigmatism aberration in the tangential direction shown in FIG. 31(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.12 mm. As shown in FIG. 31(d), the variation of the distortion aberration may be within about ±45%.
With regard to the IR light band, please refer to FIGS. 31(e), 31(f), 31(g) and 31(h). As the longitudinal spherical aberration shown in FIG. 31(e), the offset of the off-axis light relative to the image point may be within about ±0.025 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 31(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.04 mm. As the astigmatism aberration in the tangential direction shown in FIG. 31(g), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.14 mm. As shown in FIG. 31(h), the variation of the distortion aberration may be within about ±45%.
According to the value of the aberrations, it is shown that the optical imaging lens 7 of the present embodiment, with the HFOV as large as about 67.260 degrees, may be capable of providing good imaging quality.
Reference is now made to FIGS. 34-37. FIG. 34 illustrates an example cross-sectional view of an optical imaging lens 8 having five lens elements of the optical imaging lens according to an eighth example embodiment. FIG. 35 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 8 according to the eighth embodiment. FIG. 36 shows an example table of optical data of each lens element of the optical imaging lens 8 according to the eighth example embodiment. FIG. 37 shows an example table of aspherical data of the optical imaging lens 8 according to the eighth example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 8, for example, reference number 831 for labeling the object-side surface of the third lens element 830, reference number 832 for labeling the image-side surface of the third lens element 830, etc.
As shown in FIG. 34, the optical imaging lens 8 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 810, a second lens element 820, an aperture stop 800, a third lens element 830, a fourth lens element 840 and a fifth lens element 850.
The differences between the eighth embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surfaces 811, 821; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 831, 841, 851 facing to the object side A1 and the image-side surfaces 812, 822, 832, 842, 852 facing to the image side A2, are similar to those in the first embodiment. Specifically, the differences of configuration of surface shape are: the object-side surface 811 of the first lens element 810 may comprise a concave portion 8111 in a vicinity of the optical axis, and the object-side surface 821 of the second lens element 820 may comprise a convex portion 8211 in a vicinity of the optical axis. Please refer to FIG. 36 for the optical characteristics of each lens elements in the optical imaging lens 8 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 35(a), 35(b), 35(c) and 35(d). As the longitudinal spherical aberration shown in FIG. 35(a), the offset of the off-axis light relative to the image point may be within about ±0.03 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 35(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.2 mm. As the astigmatism aberration in the tangential direction shown in FIG. 35(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.3 mm. As shown in FIG. 35(d), the variation of the distortion aberration may be within about ±45%.
With regard to the IR light band, please refer to FIGS. 35(e), 35(f), 35(g) and 35(h). As the longitudinal spherical aberration shown in FIG. 35(e), the offset of the off-axis light relative to the image point may be within about ±0.03 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 35(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.1 mm. As the astigmatism aberration in the tangential direction shown in FIG. 35(g), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.18 mm. As shown in FIG. 35(h), the variation of the distortion aberration may be within about ±45%.
According to the value of the aberrations, it is shown that the optical imaging lens 8 of the present embodiment, with the HFOV as large as 66.815 degrees, is capable to provide good imaging quality.
Reference is now made to FIGS. 38-41. FIG. 38 illustrates an example cross-sectional view of an optical imaging lens 9 having five lens elements of the optical imaging lens according to an ninth example embodiment. FIG. 39 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 9 according to the ninth embodiment. FIG. 40 shows an example table of optical data of each lens element of the optical imaging lens 9 according to the ninth example embodiment. FIG. 41 shows an example table of aspherical data of the optical imaging lens 9 according to the ninth example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 9, for example, reference number 931 for labeling the object-side surface of the third lens element 930, reference number 932 for labeling the image-side surface of the third lens element 930, etc.
As shown in FIG. 38, the optical imaging lens 9 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 910, a second lens element 920, an aperture stop 900, a third lens element 930, a fourth lens element 940 and a fifth lens element 950.
The differences between the ninth embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data and related optical parameters, such as back focal length; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 911, 921, 931, 941, 951 facing to the object side A1 and the image-side surfaces 912, 922, 932, 942, 952 facing to the image side A2, are similar to those in the first embodiment. Please refer to FIG. 40 for the optical characteristics of each lens elements in the optical imaging lens 9 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 39(a), 39(b), 39(c) and 39(d). As the longitudinal spherical aberration shown in FIG. 39(a), the offset of the off-axis light relative to the image point may be within about ±0.025 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 39(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.06 mm. As the astigmatism aberration in the tangential direction shown in FIG. 39(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.07 mm. As shown in FIG. 39(d), the variation of the distortion aberration may be within about ±45%.
With regard to the IR light band, please refer to FIGS. 39(e), 39(f), 39(g) and 39(h). As the longitudinal spherical aberration shown in FIG. 39(e), the offset of the off-axis light relative to the image point may be within about ±0.02 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 39(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.03 mm. As the astigmatism aberration in the tangential direction shown in FIG. 39(g), the focus variation with regard to the three wavelengths in the whole field may fall within about +0.06 mm. As shown in FIG. 39(h), the variation of the distortion aberration may be within about ±45%.
According to the value of the aberrations, it is shown that the optical imaging lens 9 of the present embodiment, with the HFOV as large as 67.069 degrees, is capable to provide good imaging quality.
Reference is now made to FIGS. 42-45. FIG. 42 illustrates an example cross-sectional view of an optical imaging lens 10 having five lens elements of the optical imaging lens according to an tenth example embodiment. FIG. 43 shows example charts of longitudinal spherical aberration and other kinds of optical aberrations of the optical imaging lens 10 according to the tenth embodiment. FIG. 44 shows an example table of optical data of each lens element of the optical imaging lens 10 according to the tenth example embodiment. FIG. 45 shows an example table of aspherical data of the optical imaging lens 10 according to the tenth example embodiment. The reference numbers labeled in the present embodiment are similar to those in the first embodiment for the similar elements, but here the reference numbers are initialed with 10, for example, reference number 1031 for labeling the object-side surface of the third lens element 1030, reference number 1032 for labeling the image-side surface of the third lens element 1030, etc.
As shown in FIG. 42, the optical imaging lens 10 of the present embodiment, in an order from an object side A1 to an image side A2 along an optical axis, may comprise a first lens element 1010, a second lens element 1020, an aperture stop 1000, a third lens element 1030, a fourth lens element 1040 and a fifth lens element 1050.
The differences between the tenth embodiment and the first embodiment may include the radius of curvature and thickness of each lens element, the distance of each air gap, aspherical data, related optical parameters, such as back focal length, and the configuration of the concave/convex shape of the object-side surface 1011 and the image-side surface 1022; but the configuration of the concave/convex shape of surfaces, comprising the object-side surfaces 1021, 1031, 1041, 1051 facing to the object side A1 and the image-side surfaces 1012, 1032, 1042, 1052 facing to the image side A2, are similar to those in the first embodiment. Specifically, the differences of configuration of surface shape are: the object-side surface 1011 of the first lens element 1010 may comprise a concave portion 10111 in a vicinity of the optical axis, and the image-side surface 1022 of the second lens element 1020 may comprise a convex portion 10222 in a vicinity of the periphery of the second lens element 1020. Please refer to FIG. 44 for the optical characteristics of each lens elements in the optical imaging lens 10 of the present embodiment, please refer to FIG. 46 for the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of the present embodiment.
With regard to the visible light band, please refer to FIGS. 43(a), 43(b), 43(c) and 43(d). As the longitudinal spherical aberration shown in FIG. 43(a), the offset of the off-axis light relative to the image point may be within about ±0.04 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 43(b), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.35 mm. As the astigmatism aberration in the tangential direction shown in FIG. 43(c), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.045 mm. As shown in FIG. 43(d), the variation of the distortion aberration may be within about ±30%. Compared with the first embodiment, the distortion of the optical imaging lens 10 is less.
With regard to the IR light band, please refer to FIGS. 43(e), 43(f), 43(g) and 43(h). As the longitudinal spherical aberration shown in FIG. 43(e), the offset of the off-axis light relative to the image point may be within about ±0.06 mm. As the astigmatism aberration in the sagittal direction shown in FIG. 43(f), the focus variation with regard to the three wavelengths in the whole field may fall within about ±0.03 mm. As the astigmatism aberration in the tangential direction shown in FIG. 43(g), the focus variation with regard to the three wavelengths in the whole field may fall within about +0.45 mm. As shown in FIG. 43(h), the variation of the distortion aberration may be within about ±30%. Compared with the first embodiment, the distortion of the optical imaging lens 10 is less.
According to the value of the aberrations, it is shown that the optical imaging lens 10 of the present embodiment, with the HFOV as large as 65.336 degrees, is capable to provide good imaging quality.
Please refer to FIG. 46, which show the values of (T2+G23+G34)/(T5+G45), TTL/(T1+T5), T3/T5, (G12+G23+G34)/T5, EFL/T1, T3/T1, (T3+G23+G34)/(T5+G45), ALT/(T1+T5), T4/T5, ALT/T2≤5, EFL/T5, T4/T1, (T4+G23+G34)/(T5+G45), BFL/(T1+T5), AAG/T5 and TL/T2 of all ten embodiments, and it is clear that the optical imaging lens of the present disclosure satisfy the inequality (1) and/or inequalities (2)˜(18).
According to above illustration, the longitudinal spherical aberration, astigmatism aberration both in the sagittal direction and tangential direction and distortion aberration in all embodiments are meet user term of a related product in the market. The off-axis light with regard to six different wavelengths (470 nm, 555 nm, 650 nm, 830 nm, 850 nm, 870 nm) is focused around an image point and the offset of the off-axis light relative to the image point is well controlled with suppression for the longitudinal spherical aberration, astigmatism aberration both in the sagittal direction and tangential direction and distortion aberration. The curves of different wavelengths are closed to each other, and this represents that the focusing for light having different wavelengths is good to suppress chromatic dispersion. In summary, lens elements are designed and matched for achieving good imaging quality.
While various embodiments in accordance with the disclosed principles been described above, it should be understood that they are presented by way of example only, and are not limiting. Thus, the breadth and scope of example embodiment(s) should not be limited by any of the above-described embodiments, but should be defined only in accordance with the claims and their equivalents issuing from this disclosure. Furthermore, the above advantages and features are provided in described embodiments, but shall not limit the application of such issued claims to processes and structures accomplishing any or all of the above advantages.
Additionally, the section headings herein are provided for consistency with the suggestions under 37 C.F.R. 1.77 or otherwise to provide organizational cues. These headings shall not limit or characterize the invention(s) set out in any claims that may issue from this disclosure. Specifically, a description of a technology in the “Background” is not to be construed as an admission that technology is prior art to any invention(s) in this disclosure. Furthermore, any reference in this disclosure to “invention” in the singular should not be used to argue that there is only a single point of novelty in this disclosure. Multiple inventions may be set forth according to the limitations of the multiple claims issuing from this disclosure, and such claims accordingly define the invention(s), and their equivalents, that are protected thereby. In all instances, the scope of such claims shall be considered on their own merits in light of this disclosure, but should not be constrained by the headings herein.
Patent Application
20180314040
