THIN DUAL-APERTURE ZOOM DIGITAL CAMERA

Abstract

A dual-aperture zoom camera comprising a Wide camera with a respective Wide lens and a Tele camera with a respective Tele lens, the Wide and Tele cameras mounted directly on a single printed circuit board, wherein the Wide and Tele lenses have respective effective focal lengths EFL.sub.W and EFL.sub.T and respective total track lengths TTL.sub.W and TTL.sub.T and wherein TTL.sub.W/EFL.sub.W>1.1 and TTL.sub.T/EFL.sub.T<1.0. Optionally, the dual-aperture zoom camera may further comprise an optical OIS controller configured to provide a compensation lens movement according to a user-defined zoom factor (ZF) and a camera tilt (CT) through LMV=CT*EFL.sub.ZF, where EFL.sub.ZF is a zoom-factor dependent effective focal length.

Claims

1. A camera system, comprising: a) a Wide camera that includes a Wide lens with an effective focal length EFL.sub.W and a total track length TTL.sub.W; and b) a Tele camera that includes a Tele lens with five lens elements along a Tele lens optical axis and with an effective focal length EFL.sub.T, a total track length TTL.sub.T and a F number smaller than 3.2, wherein the camera system is a dual-aperture zoom camera, wherein a ratio e=EFL.sub.T/EFL.sub.W is in the range 1.3-2.0, wherein EFL.sub.W is in the range 2.5-6 mm and wherein EFL.sub.T is in the range 5-12 mm, and wherein a height difference between the Tele and Wide cameras is equal to or smaller than 1.65 mm.

2. The camera system of claim 1, wherein a ratio TTL.sub.T/TTL.sub.W is smaller than 0.8e.

3. The camera system of claim 1, wherein a height of the dual-aperture zoom camera has a value between 4 mm and 8 mm.

4. The camera system of claim 1, wherein the F number is substantially equal to 2.8.

5. The camera system of claim 1, wherein a focal length f.sub.1 of a first lens element L.sub.1 is smaller than TTL.sub.T/2.

6. The camera system of claim 2, wherein a focal length f.sub.1 of a first lens element L.sub.1 is smaller than TTL.sub.T/2.

7. The camera system of claim 1, wherein the five lens elements include, in order from an object side to an image side, a first lens element L.sub.1 with positive refractive power and a focal length f.sub.1, a second lens element L.sub.2 with negative refractive power, a third lens element L.sub.3, a fourth lens element L.sub.4, and a fifth lens element L.sub.5.

8. The camera system of claim 6, wherein the five lens elements further include a third lens element with negative refractive power, a fourth lens element with positive refractive power, and a fifth lens element with negative refractive power.

9. The camera system of claim 7, wherein f1 is smaller than TTL.sub.T/2, wherein the first, third and fifth lens elements have each an Abbe number greater than 50, and wherein the second and fourth lens elements have each an Abbe number smaller than 30.

10. The camera system of claim 2, wherein the five lens elements include, in order from an object side to an image side, a first lens element L.sub.1 with positive refractive power and a focal length f.sub.1, a second lens element L.sub.2 with negative refractive power, a third lens element L.sub.3, a fourth lens element L.sub.4, and a fifth lens element L.sub.5.

11. The camera system of claim 10, wherein the five lens elements further include a third lens element with negative refractive power, a fourth lens element with positive refractive power, and a fifth lens element with negative refractive power.

12. The camera system of claim 11, wherein f1 is smaller than TTL.sub.T/2, wherein the first, third and fifth lens elements have each an Abbe number greater than 50, and wherein the second and fourth lens elements have each an Abbe number smaller than 30.

13. The camera system of claim 1, wherein the five lens elements include, in order from an object side to an image side, a first lens element with positive refractive power, a second lens element with negative refractive power having a thickness d.sub.2 on an optical axis and separated from the first lens element by a first air gap, a third lens element with negative refractive power and separated from the second lens element by a second air gap, a fourth lens element with positive refractive power and separated from the third lens element by a third air gap, and a fifth lens element with negative refractive power, separated from the fourth lens element by a fourth air gap, the fifth lens element having a thickness d.sub.5 on the optical axis.

14. The camera system of claim 13, wherein a focal length of the first lens element f1 is smaller than TTL.sub.T/2, wherein the first, third and fifth lens elements have each an Abbe number greater than 50, wherein the second and fourth lens elements have each an Abbe number smaller than 30.

15. The camera system of claim 14, wherein the first air gap is smaller than d.sub.2/2, wherein the third air gap is greater than TTL.sub.T/5 and wherein the fourth air gap is smaller than 1.5 d.sub.5.

16. The camera system of claim 15, wherein the first air gap is smaller than d.sub.2/2, wherein the third air gap is greater than TTL.sub.T/5 and wherein the fourth air gap is smaller than 1.5 d.sub.5.

17. The camera system of claim 2, wherein the five lens elements include, in order from an object side to an image side, a first lens element with positive refractive power, a second lens element with negative refractive power having a thickness d.sub.2 on an optical axis and separated from the first lens element by a first air gap, a third lens element with negative refractive power and separated from the second lens element by a second air gap, a fourth lens element with positive refractive power and separated from the third lens element by a third air gap, and a fifth lens element with negative refractive power, separated from the fourth lens element by a fourth air gap, the fifth lens element having a thickness d.sub.5 on the optical axis.

18. The camera system of claim 17, wherein a focal length of the first lens element f1 is smaller than TTL.sub.T/2, wherein the first, third and fifth lens elements have each an Abbe number greater than 50, wherein the second and fourth lens elements have each an Abbe number smaller than 30.

19. The camera system of claim 18, wherein the first air gap is smaller than d.sub.2/2, wherein the third air gap is greater than TTL.sub.T/5, and wherein the fourth air gap is smaller than 1.5 d.sub.5.

20. The camera system of claim 19, wherein the first air gap is smaller than d.sub.2/2, wherein the third air gap is greater than TTL.sub.T/5, and wherein the fourth air gap is smaller than 1.5 d.sub.5.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0013] Non-limiting embodiments are herein described, by way of example only, with reference to the accompanying drawings, wherein:

[0014] FIG. 1 shows definitions of TTL and EFL;

[0015] FIG. 2 shows shadowing and light-blocking problems caused by height differences between Wide and Tele cameras in a dual-aperture camera;

[0016] FIG. 3 shows an embodiment of a dual-aperture camera disclosed herein;

[0017] FIG. 4 shows schematically in a block diagram details of the camera embodiment of FIG. 3;

[0018] FIG. 5A shows a first embodiment of an optical lens system disclosed herein;

[0019] FIG. 5B shows the modulus of the optical transfer function (MTF) vs. focus shift of the entire optical system for various fields in the first embodiment;

[0020] FIG. 5C shows the distortion vs. field angle (+Y direction) in percent in the first embodiment;

[0021] FIG. 6A shows a second embodiment of an optical lens system disclosed herein;

[0022] FIG. 6B shows the MTF vs. focus shift of the entire optical system for various fields in the second embodiment;

[0023] FIG. 6C shows the distortion +Y in percent in the second embodiment;

[0024] FIG. 7A shows a third embodiment of an optical lens system disclosed herein;

[0025] FIG. 7B shows the MTF vs. focus shift of the entire optical system for various fields in the third embodiment;

[0026] FIG. 7C shows the distortion +Y in percent in the third embodiment.

DETAILED DESCRIPTION

[0027] The present inventors have determined that camera movement (due to exemplarily, but not limited to mishaps such as drop impact) can be avoided or minimized by mounting the two cameras directly on a single printed circuit board and by minimizing a distance “d” therebetween. FIG. 3 shows an embodiment of a dual-aperture camera 300 that includes two cameras 302 and 304 mounted directly on a single printed circuit board 305. Each camera includes a lens assembly (respectively 306 and 308), an actuator (respectively 310 and 312) and an image sensor (respectively 314 and 316). The two actuators are rigidly mounted on a rigid base 318 that is flexibly connected to the printed board through flexible elements 320. Base 318 is movable by an OIS mechanism (not shown) controlled by an OIS controller 402 (FIG. 4). The OIS controller is coupled to, and receives camera tilt information from, a tilt sensor (exemplarily a gyroscope) 404 (FIG. 4). More details of an exemplary OIS procedure as disclosed herein are given below with reference to FIG. 4. The two cameras are separated by a small distance “d”, typically 1 mm. This small distance between cameras also reduces the perspective effect, enabling smoother zoom transition between cameras.

[0028] In some embodiments and optionally, a magnetic shield plate as described in co-owned U.S. patent application Ser. No. 14/365,718 titled “Magnetic shielding between voice coil motors in a dual-aperture camera”, which is incorporated herein by reference in its entirety, may be inserted in the gap with width d between the Wide and Tele cameras.

[0029] In general, camera dimensions shown in FIG. 3 may be as follows: a length L of the camera (in the Y direction) may vary between 13-25 mm, a width W of the camera (in the X direction) may vary between 6-12 mm, and a height H of the camera (in the Z direction, perpendicular to the X-Y plane) may vary between 4-12 mm More typically in a smartphone camera disclosed herein, L=18 mm, W=8.5 mm and H=7 mm.

[0030] The present inventors have further determined that in some embodiments, the problem posed by the large difference in the TTL/EFL ratio of known dual-aperture camera Tele and Wide lenses may be solved through use of a standard lens for the Wide camera (TTL.sub.W/EFL.sub.W>1.1, typically 1.3) and of a special Tele lens design for the Tele camera (TTL.sub.T/EFL.sub.T<1, typically 0.87). Exemplarily, the special Tele lens design may be as described in co-owned U.S. patent application Ser. No. 14/367,924, titled “Miniature telephoto lens assembly”, which is incorporated herein by reference in its entirety. A Tele lens assembly described in detail below comprises five lenses that include, in order from an object side to an image side: a first lens element with positive refractive power having a convex object-side surface, a second lens element with negative refractive power having a thickness d.sub.2 on an optical axis and separated from the first lens element by a first air gap, a third lens element with negative refractive power and separated from the second lens element by a second air gap, a fourth lens element having a positive refractive power and separated from the third lens element by a third air gap, and a fifth lens element having a negative refractive power, separated from the fourth lens element by a fourth air gap, the fifth lens element having a thickness d.sub.5 on the optical axis. The shape (convex or concave) of a lens element surface is defined as viewed from the respective side (i.e. from an object side or from an image side). The lens assembly may exemplarily have a F number (F#)<3.2. In an embodiment, the focal length of the first lens element f1 is smaller than TTL.sub.T/2, the first, third and fifth lens elements have each an Abbe number greater than 50, the second and fourth lens elements have each an Abbe number smaller than 30, the first air gap is smaller than d.sub.2/2, the third air gap is greater than TTL.sub.T/5 and the fourth air gap is smaller than 1.5 d.sub.5. In some embodiments, the surfaces of the lens elements may be aspheric.

[0031] FIG. 5A shows a first embodiment of an optical lens system disclosed in incorporated by reference U.S. provisional patent application Ser. No. 14/367,924 and marked 100. FIG. 5B shows the MTF vs. focus shift of the entire optical system for various fields in embodiment 100. FIG. 5C shows the distortion +Y in percent vs. field. Embodiment 100 comprises in order from an object side to an image side: an optional stop 101; a first plastic lens element 102 with positive refractive power having a convex object-side surface 102a and a convex or concave image-side surface 102b; a second plastic lens element 104 with negative refractive power and having a meniscus convex object-side surface 104a, with an image side surface marked 104b; a third plastic lens element 106 with negative refractive power having a concave object-side surface 106a with an inflection point and a concave image-side surface 106b; a fourth plastic lens element 108 with positive refractive power having a positive meniscus, with a concave object-side surface marked 108a and an image-side surface marked 108b; and a fifth plastic lens element 110 with negative refractive power having a negative meniscus, with a concave object-side surface marked 110a and an image-side surface marked 110b. The optical lens system further comprises an optional glass window 112 disposed between the image-side surface 110b of fifth lens element 110 and an image plane 114 for image formation of an object. Moreover, an electronic sensor is disposed at image plane 114 for the image formation.

[0032] In embodiment 100, all lens element surfaces are aspheric. Detailed optical data is given in Table 1, and the aspheric surface data is given in Table 2, wherein the units of the radius of curvature (R), lens element thickness and/or distances between elements along the optical axis and diameter are expressed in mm “Nd” is the refraction index. The equation of the aspheric surface profiles is expressed by:

[00001]$z=\frac{{\mathrm{cr}}^2}{1+\sqrt{1-\left(1+k\right)c^2{r}^2}}+{\alpha }_1{r}^2+{\alpha }_2{r}^4+{\alpha }_3{r}^6+{\alpha }_4{r}^8+{\alpha }_5{r}^{10}+{\alpha }_6{r}^{12}+{\alpha }_7{r}^{14}$

where r is distance from (and perpendicular to) the optical axis, k is the conic coefficient, c=1/R where R is the radius of curvature, and α are coefficients given in Table 2. In the equation above as applied to embodiments of a lens assembly disclosed in co-owned U.S. patent application Ser. No. 14/367,924, coefficients α.sub.1 and α.sub.7 are zero. Note that the maximum value of r “max r”=Diameter/2. Also note that Table 1 (and in Tables 3 and 5 below), the distances between various elements (and/or surfaces) are marked “Lmn” (where m refers to the lens element number, n=1 refers to the element thickness and n=2 refers to the air gap to the next element) and are measured on the optical axis z, wherein the stop is at z=0. Each number is measured from the previous surface. Thus, the first distance −0.466 mm is measured from the stop to surface 102a, the distance L11 from surface 102a to surface 102b (i.e. the thickness of first lens element 102) is 0.894 mm, the gap L12 between surfaces 102b and 104a is 0.020 mm, the distance L21 between surfaces 104a and 104b (i.e. thickness d2 of second lens element 104) is 0.246 mm, etc. Also, L21=d.sub.2 and L51=d.sub.5.

TABLE-US-00001 TABLE 1 Radius R Distances Diameter # Comment [mm] [mm] Nd/Vd [mm] 1 Stop Infinite −0.466 2.4 2 L11 1.5800 0.894 1.5345/57.095 2.5 3 L12 −11.2003 0.020 2.4 4 L21 33.8670 0.246 1.63549/23.91  2.2 5 L22 3.2281 0.449 1.9 6 L31 −12.2843 0.290 1.5345/57.095 1.9 7 L32 7.7138 2.020 1.8 8 L41 −2.3755 0.597 1.63549/23.91  3.3 9 L42 −1.8801 0.068 3.6 10 L51 −1.8100 0.293 1.5345/57.095 3.9 11 L52 −5.2768 0.617 4.3 12 Window Infinite 0.210 1.5168/64.17  3.0 13 Infinite 0.200 3.0

TABLE-US-00002 TABLE 2 Conic coefficient # k α2 α3 α4 α5 α6 2 −0.4668   7.9218E−03   2.3146E−02 −3.3436E−02   2.3650E−02 −9.2437E−03 3 −9.8525   2.0102E−02   2.0647E−04   7.4394E−03 −1.7529E−02   4.5206E−03 4 10.7569 −1.9248E−03   8.6003E−02   1.1676E−02 −4.0607E−02   1.3545E−02 5 1.4395   5.1029E−03   2.4578E−01 −1.7734E−01   2.9848E−01 −1.3320E−01 6 0.0000   2.1629E−01   4.0134E−02   1.3615E−02   2.5914E−03 −1.2292E−02 7 −9.8953   2.3297E−01   8.2917E−02 −1.2725E−01   1.5691E−01 −5.9624E−02 8 0.9938 −1.3522E−02 −7.0395E−03   1.4569E−02 −1.5336E−02   4.3707E−03 9 −6.8097 −1.0654E−01   1.2933E−02   2.9548E−04 −1.8317E−03   5.0111E−04 10 −7.3161 −1.8636E−01   8.3105E−02 −1.8632E−02   2.4012E−03 −1.2816E−04 11 0.0000 −1.1927E−01   7.0245E−02 −2.0735E−02   2.6418E−03 −1.1576E−04

[0033] Embodiment 100 provides a field of view (FOV) of 44 degrees, with EFL=6.90 mm, F#=2.80 and TTL of 5.904 mm Thus and advantageously, the ratio TTL/EFL=0.855. Advantageously, the Abbe number of the first, third and fifth lens element is 57.095. Advantageously, the first air gap between lens elements 102 and 104 (the gap between surfaces 102b and 104a) has a thickness (0.020 mm) which is less than a tenth of thickness d.sub.2 (0.246 mm). Advantageously, the Abbe number of the second and fourth lens elements is 23.91. Advantageously, the third air gap between lens elements 106 and 108 has a thickness (2.020 mm) greater than TTL/5 (5.904/5 mm). Advantageously, the fourth air gap between lens elements 108 and 110 has a thickness (0.068 mm) which is smaller than d.sub.5/2 (0.293/2 mm).

[0034] The focal length (in mm) of each lens element in embodiment 100 is as follows: f1=2.645, f2=−5.578, f3=−8.784, f4=9.550 and f5=−5.290. The condition 1.2×|f3|>|f2|>1.5×f1 is clearly satisfied, as 1.2×8.787>5.578>1.5×2.645. f1 also fulfills the condition f1<TTL/2, as 2.645<2.952.

[0035] FIG. 6A shows a second embodiment of an optical lens system disclosed in incorporated by reference U.S. provisional patent application Ser. No. 14/367,924 and marked 200. FIG. 6B shows the MTF vs. focus shift of the entire optical system for various fields in embodiment 200. FIG. 6C shows the distortion +Y in percent vs. field. Embodiment 200 comprises in order from an object side to an image side: an optional stop 201; a first plastic lens element 202 with positive refractive power having a convex object-side surface 202a and a convex or concave image-side surface 202b; a second glass lens element 204 with negative refractive power, having a meniscus convex object-side surface 204a, with an image side surface marked 204b; a third plastic lens element 206 with negative refractive power having a concave object-side surface 206a with an inflection point and a concave image-side surface 206b; a fourth plastic lens element 208 with positive refractive power having a positive meniscus, with a concave object-side surface marked 208a and an image-side surface marked 208b; and a fifth plastic lens element 210 with negative refractive power having a negative meniscus, with a concave object-side surface marked 110a and an image-side surface marked 210b. The optical lens system further comprises an optional glass window 212 disposed between the image-side surface 210b of fifth lens element 210 and an image plane 214 for image formation of an object. Moreover, an electronic sensor is disposed at image plane 214 for the image formation.

[0036] In embodiment 200, all lens element surfaces are aspheric. Detailed optical data is given in Table 3, and the aspheric surface data is given in Table 4, wherein the markings and units are the same as in, respectively, Tables 1 and 2. The equation of the aspheric surface profiles is the same as for embodiment 100.

TABLE-US-00003 TABLE 3 Radius R Distances Diameter # Comment [mm] [mm] Nd/Vd [mm] 1 Stop Infinite −0.592 2.5 2 L11 1.5457 0.898 1.53463/56.18 2.6 3 L12 −127.7249 0.129 2.6 4 L21 6.6065 0.251 1.91266/20.65 2.1 5 L22 2.8090 0.443 1.8 6 L31 9.6183 0.293 1.53463/56.18 1.8 7 L32 3.4694 1.766 1.7 8 L41 −2.6432 0.696 1.632445/23.35  3.2 9 L42 −1.8663 0.106 3.6 10 L51 −1.4933 0.330 1.53463/56.18 3.9 11 L52 −4.1588 0.649 4.3 12 Window Infinite 0.210  1.5168/64.17 5.4 13 Infinite 0.130 5.5

TABLE-US-00004 TABLE 4 Conic coefficient # k α2 α3 α4 α5 α6 2 0.0000 −2.7367E−03   2.8779E−04 −4.3661E−03   3.0069E−03 −1.2282E−03 3 −10.0119   4.0790E−02 −1.8379E−02   2.2562E−02 −1.7706E−02   4.9640E−03 4 10.0220   4.6151E−02   5.8320E−02 −2.0919E−02 −1.2846E−02   8.8283E−03 5 7.2902   3.6028E−02   1.1436E−01 −1.9022E−02   4.7992E−03 −3.4079E−03 6 0.0000   1.6639E−01   5.6754E−02 −1.2238E−02 −1.8648E−02   1.9292E−02 7 8.1261   1.5353E−01   8.1427E−02 −1.5773E−01   1.5303E−01 −4.6064E−02 8 0.0000 −3.2628E−02   1.9535E−02 −1.6716E−02 −2.0132E−03   2.0112E−03 9 0.0000   1.5173E−02 −1.2252E−02   3.3611E−03 −2.5303E−03   8.4038E−04 10 −4.7688 −1.4736E−01   7.6335E−02 −2.5539E−02   5.5897E−03 −5.0290E−04 11 0.00E+00 −8.3741E−02   4.2660E−02 −8.4866E−03   1.2183E−04   7.2785E−05

[0037] Embodiment 200 provides a FOV of 43.48 degrees, with EFL=7 mm, F#=2.86 and TTL=5.90 mm Thus and advantageously, the ratio TTL/EFL=0.843. Advantageously, the Abbe number of the first, third and fifth lens elements is 56.18. The first air gap between lens elements 202 and 204 has a thickness (0.129 mm) which is about half the thickness d.sub.2 (0.251 mm). Advantageously, the Abbe number of the second lens element is 20.65 and of the fourth lens element is 23.35. Advantageously, the third air gap between lens elements 206 and 208 has a thickness (1.766 mm) greater than TTL/5 (5.904/5 mm). Advantageously, the fourth air gap between lens elements 208 and 210 has a thickness (0.106 mm) which is less than d.sub.5/2 (0.330/2 mm).

[0038] The focal length (in mm) of each lens element in embodiment 200 is as follows: f1=2.851, f2=−5.468, f3=−10.279, f4=7.368 and f5=−4.536. The condition 1.2×|f3|>|f2|>1.5×f1 is clearly satisfied, as 1.2×10.279>5.468>1.5×2.851. f1 also fulfills the condition f1<TTL/2, as 2.851<2.950.

[0039] FIG. 7A shows a third embodiment of an optical lens system disclosed in incorporated by reference U.S. provisional patent application Ser. No. 14/367,924 and marked 700. FIG. 7B shows the MTF vs. focus shift of the entire optical system for various fields in embodiment 700. FIG. 7C shows the distortion +Y in percent vs. field. Embodiment 700 comprises in order from an object side to an image side: an optional stop 701; a first glass lens element 702 with positive refractive power having a convex object-side surface 702a and a convex or concave image-side surface 702b; a second plastic lens element 704 with negative refractive power, having a meniscus convex object-side surface 304a, with an image side surface marked 704b; a third plastic lens element 706 with negative refractive power having a concave object-side surface 706a with an inflection point and a concave image-side surface 706b; a fourth plastic lens element 708 with positive refractive power having a positive meniscus, with a concave object-side surface marked 708a and an image-side surface marked 708b; and a fifth plastic lens element 710 with negative refractive power having a negative meniscus, with a concave object-side surface marked 710a and an image-side surface marked 710b. The optical lens system further comprises an optional glass window 712 disposed between the image-side surface 710b of fifth lens element 710 and an image plane 714 for image formation of an object. Moreover, an electronic sensor is disposed at image plane 714 for the image formation.

[0040] In embodiment 700, all lens element surfaces are aspheric. Detailed optical data is given in Table 5, and the aspheric surface data is given in Table 6, wherein the markings and units are the same as in, respectively, Tables 1 and 2. The equation of the aspheric surface profiles is the same as for embodiments 100 and 200.

TABLE-US-00005 TABLE 5 Radius R Distances Diameter # Comment [mm] [mm] Nd/Vd [mm] 1 Stop Infinite −0.38 2.4 2 L11 1.5127 0.919 1.5148/63.1  2.5 3 L12 −13.3831 0.029 2.3 4 L21 8.4411 0.254 1.63549/23.91  2.1 5 L22 2.6181 0.426 1.8 6 L31 −17.9618 0.265 1.5345/57.09 1.8 7 L32 4.5841 1.998 1.7 8 L41 −2.8827 0.514 1.63549/23.91  3.4 9 L42 −1.9771 0.121 3.7 10 L51 −1.8665 0.431 1.5345/57.09 4.0 11 L52 −6.3670 0.538 4.4 12 Window Infinite 0.210 1.5168/64.17 3.0 13 Infinite 0.200 3.0

TABLE-US-00006 TABLE 6 Conic coefficient # k α2 α3 α4 α5 α6 2 −0.534   1.3253E−02   2.3699E−02 −2.8501E−02   1.7853E−02 −4.0314E−03 3 −13.473   3.0077E−02   4.7972E−03   1.4475E−02 −1.8490E−02   4.3565E−03 4 −10.132   7.0372E−04   1.1328E−01   1.2346E−03 −4.2655E−02   8.8625E−03 5 5.180 −1.9210E−03   2.3799E−01 −8.8055E−02   2.1447E−01 −1.2702E−01 6 0.000   2.6780E−01   1.8129E−02 −1.7323E−02   3.7372E−02 −2.1356E−02 7 10.037   2.7660E−01 −1.0291E−02 −6.0955E−02   7.5235E−02 −1.6521E−02 8 1.703   2.6462E−02 −1.2633E−02 −4.7724E−04 −3.2762E−03   1.6551E−03 9 −1.456   5.7704E−03 −1.8826E−02   5.1593E−03 −2.9999E−03   8.0685E−04 10 −6.511 −2.1699E−01   1.3692E−01 −4.2629E−02   6.8371E−03 −4.1415E−04 11 0.000 −1.5120E−01   8.6614E−02 −2.3324E−02   2.7361E−03 −1.1236E−04

[0041] Embodiment 700 provides a FOV of 44 degrees, EFL=6.84 mm, F#=2.80 and TTL=5.904 mm Thus and advantageously, the ratio TTL/EFL=0.863. Advantageously, the Abbe number of the first lens element is 63.1, and of the third and fifth lens elements is 57.09. The first air gap between lens elements 702 and 704 has a thickness (0.029 mm) which is about 1/10.sup.th the thickness d.sub.2 (0.254 mm). Advantageously, the Abbe number of the second and fourth lens elements is 23.91. Advantageously, the third air gap between lens elements 706 and 708 has a thickness (1.998 mm) greater than TTL/5 (5.904/5 mm). Advantageously, the fourth air gap between lens elements 708 and 710 has a thickness (0.121 mm) which is less than d.sub.5/2 (0.431/2 mm).

[0042] The focal length (in mm) of each lens element in embodiment 700 is as follows: f1=2.687, f2=−6.016, f3=−6.777, f4=8.026 and f5=−5.090. The condition 1.2×|f3|>|f2|>1.5×f1 is clearly satisfied, as 1.2×6.777>6.016>1.5×2.687. f1 also fulfills the condition f1<TTL/2, as 2.687<2.952.

[0043] Using a Tele lens designed as above, TTL.sub.T is reduced to 7×0.87=6.09 mm, leading to a camera height of less than 7 mm (acceptable in a smartphone). The height difference (vs. the Wide camera) is also reduced to approximately 1.65 mm, causing less shadowing and light blocking problems.

[0044] In some embodiments of a dual-aperture camera disclosed herein, the ratio “e”=EFL.sub.T/EFL.sub.W is in the range 1.3-2.0. In some embodiments, the ratio TTL.sub.T/TTL.sub.W<0.8e. In some embodiments, TTL.sub.T/TTL.sub.W is in the range 1.0-1.25. In general, in camera embodiments disclosed herein, EFL.sub.W may be in the range 2.5-6 mm and EFL.sub.T may be in the range 5-12 mm.

[0045] With reference now to FIG. 4, in operation, tilt sensor 404 dynamically measures the camera tilt (which is the same for both the Wide and Tele cameras). OIS controller 402, which is coupled to the actuators of both cameras through base 318, receives a CT input from the tilt sensor and a user-defined zoom factor, and controls the lens movement of the two cameras to compensate for the tilt. The LMV is exemplarily in the X-Y plane. The OIS controller is configured to provide a LMV equal to CT*EFL.sub.ZF, where “EFL.sub.ZF” is chosen according to the user-defined ZF. In an exemplary OIS procedure, when ZF=1, LMV is determined by the Wide camera EFL.sub.W (i.e. EFL.sub.ZF=EFL.sub.W and LMV=CT*EFL.sub.W). Further exemplarily, when ZF>e (i.e. ZF>EFL.sub.T/EFL.sub.W), LMV is determined by EFL.sub.T (i.e. EFL.sub.ZF=EFL.sub.T and LMV=CT*EFL.sub.T). Further exemplarily yet, for a ZF between 1 and e, the EFL.sub.ZF may shift gradually from EFL.sub.W to EFL.sub.T according to EFL.sub.ZF=ZF*EFL.sub.W. As mentioned, the OIS procedure above is exemplary, and other OIS procedures may use other relationships between EFL.sub.ZF and ZF to provide other type of LMV.

[0046] While this disclosure has been described in terms of certain embodiments and generally associated methods, alterations and permutations of the embodiments and methods will be apparent to those skilled in the art. The disclosure is to be understood as not limited by the specific embodiments described herein, but only by the scope of the appended claims.