# Patent

## Title
Zoom lens for use in projection devices

## Abstract

An exemplary zoom lens for use in projection technology includes, in this order from the magnification side to the minification side thereof, a first lens group having negative refraction of power, a second lens group having positive refraction of power, a third lens group having positive refraction of power, a fourth lens group having negative refraction of power, and a fifth lens group having positive refraction of power, wherein the zoom lens satisfies the formulas: −1.5<F1/Fw<−1.3, 1.5<F2/Fw<1.8, 1.8<F3/Fw<2.2, −10<F4/Fw<−5, and 2.3<F5/Fw<2.8, where F1, F2, F3, F4, F5, and Fw respectively represent the effective focal length of the first lens groups, the second lens group, the third lens group, the fourth lens group, the fifth lens group, and the shortest effective focal length of the zoom lens.

## Background
BACKGROUND
1. Technical Field
The invention relates to zoom lenses and, in particular, relates to a zoom lens for use in projection technology that is capable of maintaining image resolution at all zoom settings thereof.
2. Description of Related Art
Recently, zoom lenses are used in projectors, such as digital light processing (DLP) projectors, liquid crystal display (LCD) projectors, or liquid crystal on silicon (LCOS) projectors, to allow adjustment of effective focal length thereof to accommodate using the projectors in different spaces, e.g., a spacious hall or a narrow room. However, correcting for aberrations in such a zoom lens becomes difficult as these aberrations corrected for at one setting of the zoom lens maybe changed at another setting of the zoom lens, therefore making it difficult to ensure quality image resolution for all settings (e.g. points within a zooming range) of the zoom lens.
Therefore, it is desirable to provide a zoom lens for use in projection technology, which can overcome the above mentioned problem.
SUMMARY
In a present embodiment, a zoom lens for use in projection technology includes, in this order from the magnification side to the minification side thereof, a first lens group having negative refraction of power, a second lens group having positive refraction of power, a third lens group having positive refraction of power, a fourth lens group having negative refraction of power, and a fifth lens group having positive refraction of power, wherein the zoom lens satisfies the formulas: −1.5<F1/Fw<−1.3, 1.5<F2/Fw<1.8, 1.8<F3/Fw<2.2, −10<F4/Fw<−5, and 2.3<F5/Fw<2.8, where F1, F2, F3, F4, F5, and Fw respectively represent the effective focal length of the first lens groups, the second lens group, the third lens group, the fourth lens group, the fifth lens group, and the shortest effective focal length of the zoom lens.



BRIEF DESCRIPTION OF THE DRAWINGS
Many aspects of the present zoom lens should be better understood with reference to the following drawings. The components in the drawings are not necessarily drawn to scale, the emphasis instead being placed upon clearly illustrating the principles of the present zoom lens. Moreover, in the drawings, like reference numerals designate corresponding parts throughout the several views.
FIG. 1 is a schematic view of a zoom lens for use in projection technology, which is in a wide angle state thereof, according to a first embodiment.
FIG. 2 is a schematic view of the zoom lens of FIG. 1 in a telephoto state.
FIGS. 3 ̃6 are graphs respectively showing spherical aberration, field curvature, distortion, and lateral chromatic aberration occurring in the zoom lens in the wide angle state as in FIG. 1, according to a second embodiment.
FIGS. 7 ̃10 are graphs respectively showing spherical aberration, field curvature, distortion, and lateral chromatic aberration occurring in the zoom lens in the telephoto state as in FIG. 2, according to a second embodiment.
FIGS. 11 ̃14 are graphs respectively showing spherical aberration, field curvature, distortion, and lateral chromatic aberration occurring in the zoom lens in the wide angle state as in FIG. 1, according to a third embodiment.
FIGS. 15 ̃18 are graphs respectively showing spherical aberration, field curvature, distortion, and lateral chromatic aberration occurring in the zoom lens in the telephoto state as in FIG. 2, according to a third embodiment.
FIGS. 19 ̃22 are graphs respectively showing spherical aberration, field curvature, distortion, and lateral chromatic aberration occurring in the zoom lens in the wide angle state as in FIG. 1, according to a fourth embodiment.
FIGS. 23 ̃26 are graphs respectively showing spherical aberration, field curvature, distortion, and lateral chromatic aberration occurring in the zoom lens in the telephoto state as in FIG. 2, according to a fourth embodiment.



DETAILED DESCRIPTION OF THE EMBODIMENTS
Referring to FIGS. 1, 2, a zoom lens 100 in accordance with an exemplary embodiment is preferably used in LCOS projectors. Such an LCOS projector is typically equipped with an LCOS panel that has a surface facing the zoom lens 100. The zoom lens 100 includes, in this order from the magnification side to the minification side thereof, a first lens group 10 having negative refraction of power, a second lens group 20 having positive refraction of power, a third lens group 30 having positive refraction of power, a fourth lens group 40 having negative refraction of power, and a fifth lens group 50 having positive refraction of power. The lens groups 10, 50 are immovably mounted, while the lens groups 20, 30, 40 are movably mounted. Thereby, the effective focal length of the zoom lens 100 can be adjusted by moving the lens groups 20, 30, 40 along the optical axis thereof. In particular, the effective focal length can be reduced by moving the lens groups 20, 30, 40 to any point toward the minification side of the zoom lens 100 until they reach a maximum wide angle state as shown in FIG. 1. Conversely, the effective focal length can be increased by moving the lens groups 20, 30, 40 to any point toward the magnification side of the zoom lens 100 until they reach a maximum telephoto state as shown in FIG. 2.
In order for the zoom lens 100 to maintain high resolution over the entire zooming range, the zoom lens 100 satisfies the formulas:

−1.5<F1/Fw<−1.3  (1)

1.5<F2/Fw<1.8  (2)

1.8<F3/Fw<2.2  (3)

−10<F4/Fw<−5; and  (4)

2.3<F5/Fw<2.8,  (5)

Where F1 ̃F5, Fw respectively represent the effective focal length of the lens groups 10 ̃50, and the shortest effective focal length of the zoom lens 100.

The formulas (1) ̃(5) are configured for favorably distributing the refraction power of the lens groups 10 ̃50 of the zoom lens 100 to enable the zoom lens 100 to maintain a high resolution over the entire zooming range of the zoom lens 100, and to obtain a telecentric zoom lens 100 with a long rear focal length (the distance between the zoom lens 100 and the surface 99) that provides sufficient space to accommodate an arrangement of a polarizer 98, a half-wave plate 97, and polarization bean splitter (PBS) prism 96 of the LCOS projector. By satisfying the formulas (1) ̃(4), if −1.5<F1/Fw, 1.5<F2/Fw, 1.8<F3/Fw, and −10<F4/Fw a long rear focal length of the zoom lens 100 is obtained. Further, if F1/Fw<−1.3, F2/Fw<1.8, F3/Fw<2.2, and F4/Fw<−5 are satisfied, aberrations occurring in the zoom lens 100 can be favorably controlled/corrected, and the resolution of the zoom lens is maintained. Furthermore, if the formula (5) is satisfied, the telecentric characteristic of the zoom lens 100 is also maintained.
In order to control lateral chromatic aberration occurring in the zoom lens 100, the zoom lens 100 further satisfies the formula: V1>55, where V1 is the average Abbe number of all lenses in the first lens group 10.
Specifically, the first lens group 10 includes, in this order from the magnification side to the minification side of the zoom lens 100, a first lens 11 having positive refraction of power, a second lens 12 having negative refraction of power, and a third lens 13 having negative refraction of power.
The second lens group 20 includes, in this order from the magnification side to the minification side of the zoom lens 100, a fourth lens 21 having positive refraction of power, and a fifth lens 22 having positive refraction of power.
The third lens group 30 includes, in this order from the magnification side to the minification side of the zoom lens 100, a sixth lens 31 having positive refraction of power, and a seventh lens 32 having negative refraction of power. Opportunely, the lenses 31, 32 are attached together using adhesive to reduce the overall length of the zoom lens 100.
The fourth lens group 40 includes, in this order from the magnification side to the minification side of the zoom lens 100, a eighth lens 41 having negative refraction of power, a ninth lens 42 having negative refraction of power, a tenth lens 43 having positive refraction of power, and an eleventh lens 44 having positive refraction of power. Opportunely, the lenses 42, 43 are attached together using adhesive to reduce the overall length of the zoom lens 100.
The fifth lens group 50 is a twelfth lens having positive refraction of power.
Additionally, the zoom lens 100 further includes an aperture stop 95, the aperture stop is interposed between the lens groups 20, 30 (the lenses 22, 31) to block off-axis light rays from the sixth lens 31 entering the fifth lens 22, and thereby preventing too much distortion occurring in the zoom lens 100 (the off-axis light rays are the main cause of distortion).
Opportunely and specifically, the lenses of the zoom lens 100 are advantageously spherical glass lenses to reduce cost of the zoom lens 100 and control lateral chromatic aberration occurring in the zoom lens 100.
Detailed examples of the zoom lens 100 are given below in company with FIGS. 3 ̃26 but it should be noted that the zoom lens 100 is not limited to these examples. Listed below are the symbols used in these detailed examples:
FNo: F number;
2ω: field angle;
R: radius of curvature;
d: distance between surfaces on the optical axis of the zoom lens 100;
Nd: refractive index of lens; and
V: Abbe constant.
When projecting an image, the image is modulated by the LCOS panel, and projects from the surface 99, transmits through the polarizer 98, the half-wave plate 97, the PBS prism 96, the zoom lens 100, and finally projects onto a screen (not shown).
Example 1
Tables 1, 2 show the lens data of Example 1, wherein F1=−28.8377 mm, F2=33.0414 mm, F3=40.8227 mm, F4=−141.6108 mm, and F5=49.8472 mm.











TABLE 1





Surface
R(mm)
D(mm)
Nd
V



















The magnification-side
79.971
5.035
1.6451
55.8878


surface of the first lens 11


The minification-side
−998.751
0.15
—
—


surface surface of the first


lens 11


The magnification-side
67.492
1.8
1.5569
64.1644


surface of the second lens


12


The minification-side
23.691
8.847
—
—


surface of the second lens


12


The magnification-side
−65.086
1.8
1.5994
54.9599


surface of the third lens 13


The minification-side
31.281
D6 (see
—
—


surface of the third lens 13

table 2)


The magnification-side
−161.501
6.962
1.744
44.8511


surface of the fourth lens 21


The minification-side
−51.457
1.83
—
—


surface of the fourth lens 21


The magnification-side
40.839
4.456
1.7491
34.8735


surface of the fifth lens 22


The minification-side
−423.711
D10 (see
—
—


surface of the fifth lens 22

table 2)


The surface of aperture stop
infinite
0.15
—
—


95


The magnification-side
34.659
3.664
1.5354
65.8156


surface of the sixth lens 31


The interface between the
−25.822
1.5
1.5807
41.3411


sixth lens 31 and the


seventh lens 32


The minification-side
−51.645
D14 (see
—
—


surface of the seventh lens

table 2)


32


The magnification-side
397.031
1.818
1.7141
29.4552


surface of the eighth lens


41


The minification-side
21.915
5.837
—
—


surface of the eighth lens


41


The magnification-side
−13.929
1.501
1.754
28.7225


surface of the ninth lens 42


The interface between the
59.422
7.391
1.5856
62.2659


ninth lens 42 and the tenth


lens 43


The minification-side
−19.005
0.15
—
—


surface of the tenth lens 43


The magnification-side
244.496
4.966
1.744
44.8504


surface of the eleventh lens


44


The minification-side
−41.299
D21 (see
—
—


surface of the eleventh lens

table 2)


44


The magnification-side
40.697
5.372
1.744
44.8504


surface of the twelfth lens


The minification-side
−416.332
3
—
—


surface of the twelfth lens


Magnification-side surface
infinite
23
1.5168
64.1673


of the PBS prism 96


Minification-side surface of
infinite
4
—
—


the PBS prism 96


Magnification-side surface
infinite
0.5
1.523014
58.5876


of the half-wave plate 97


Minification-side surface of
infinite
1
—
—


the halfwave plate 97


Magnification-side surface
infinite
2.2
1.5168
64.1673


of the polarizer 98


Minification-side surface of
infinite
1
—
—


the polarizer 98


The surface 99
infinite
—
—
—























TABLE 2





Lens state
F (mm)
FNo
2ω
D1 (mm)
D2 (mm)
D3 (mm)
D4 (mm)






















Wide angle state
19.94
1.82
54.3°
12.818
14.576
0.2
0.18


Telephoto state
23.92
2.05
45.92°
7.1
12.761
3.205
3.31









In FIG. 3 (wide angle state) and FIG. 7 (telephoto state), spherical aberration characteristic curves of f light (486.1 nm), d light (587.6 nm), and c light (656.3 nm) occurring in the zoom lens 100 of Example 1 are shown. Obviously, spherical aberration occurring in the zoom lens 100 of Example 1 is limited to be in a range of:  ̃0.2 mm ̃0.2 mm. In FIG. 4 (wide angle state) and FIG. 8 (telephoto state), the curves t and s are the tangential field curvature curve and the sagittal field curvature curve respectively. Clearly, field curvature occurring in the zoom lens 100 of Example 1 is limited to a range of: −0.2 mm ̃0.2 mm. In FIG. 5 (wide angle state) and FIG. 9 (telephoto state), distortion occurring in the zoom lens 100 of Example 1 is limited to be within the range of: −5% ̃5%. In FIG. 6 (wide angle state) and FIG. 10 (telephoto state), characteristic curves of lateral chromatic aberration of 460 nm, and 620 nm light occurring in the zoom lens 100 of Example 1 are shown. Obviously, lateral chromatic aberration occurring in the zoom lens 100 of Example 1 is limited to a range of: −10 um ̃10 um.
Tables 3, 4 show the lens data of Example 2, wherein F1=−29.3527 mm, F2=33.8755 mm, F3=40.6828 mm, F4=−152.5071 mm, and F5=51.142 mm.











TABLE 3





Surface
R(mm)
D(mm)
Nd
V



















The magnification-side
82.072
4.916
1.7023
48.5664


surface of the first lens 11


The minification-side
−1344.621
0.17
—
—


surface of the first lens 11


The magnification-side
63.239
1.8
1.5131
67.7652


surface of the second lens


12


The minification-side
22.918
8.968
—
—


surface of the second lens


12


The magnification-side
−64.557
1.8
1.6315
50.4312


surface of the third lens 13


The minification-side
32.077
D6 (see
—
—


surface of the third lens 13

table 4)


The magnification-side
−153.501
7
1.6807
50.9542


surface of the fourth lens 21


The minification-side
−49.356
0.17
—
—


surface of the fourth lens 21


The magnification-side
40.843
4.391
1.7306
31.8018


surface of the fifth lens 22


The minification-side
−446.649
D10 (see
—
—


surface of the fifth lens 22

table 4)


The surface of aperture stop
infinite
0.618
—
—


95


The magnification-side
35.173
3.468
1.5379
65.6053


surface of the sixth lens 31


The interface between the
−25.518
1.835
1.5736
42.4801


sixth lens 31 and the


seventh lens 32


The minification-side 
−51.491
D14 (see
—
—


surface of the seventh lens

table 4)


32


The magnification-side
387.75
1.726
1.785
25.7


surface of the eighth lens


41


The minification-side
23.589
5.266
—
—


surface of the eighth lens


41


The magnification-side
−13.857
1.846
1.7526
30.2169


surface of the ninth lens 42


The interface between the
59.027
7.288
1.5802
62.5994


ninth lens 42 and the tenth


lens 43


The minification-side
−18.948
0.17
—
—


surface of the tenth lens 43


The magnification-side
196.349
5.027
1.7443
43.9698


surface of the eleventh lens


44


The minification-side
−41.835
D21 (see
—
—


surface of the eleventh lens

table 4)


44


The magnification-side
41.332
5.263
1.7427
44.9509


surface of the twelfth lens


The minification-side
−470.461
4.188
—
—


surface of the twelfth lens


Magnification-side surface
infinite
23
1.5168
64.1673


of the PBS prism 96


Minification-side surface of
infinite
4
—
—


the PBS prism 96


Magnification-side surface
infinite
0.5
1.523014
58.5876


of the halfwave plate 97


Minification-side surface of
infinite
1
—
—


the halfwave plate 97


Magnification-side surface
infinite
2.2
1.5168
64.1673


of the polarizer 98


Minification-side surface of
infinite
1
—
—


the polarizer 98


The surface 99
infinite
—
—
—























TABLE 4





Lens state
F (mm)
FNo
2ω
D1 (mm)
D2 (mm)
D3 (mm)
D4 (mm)






















Wide angle state
20.12
1.82
53.87°
13.702
15.406
0.21
0.2


Telephoto state
24.14
2.05
45.57°
7.957
13.641
3.281
3.446









As illustrated in FIGS. 11 ̃18, Spherical aberration occurring in the zoom lens 100 of Example 2 is limited to be in a range of: −0.2 mm ̃0.2 mm, field curvature occurring in the zoom lens 100 of Example 2 is limited to a range of: −0.15 mm ̃0.15 mm, distortion occurring in the zoom lens 100 of Example 2 is limited to be within the range of: −5% ̃5%, lateral chromatic aberration occurring in the zoom lens 100 of Example 2 is limited to a range of: −10 um ̃10 um.
Tables 5, 6 show the lens data of Example 3, wherein F1=−28.0963 mm, F2=33.3390 mm, F3=40.5215, F4=−182.3747 mm, and F5=53.1237 mm.











TABLE 5





Surface
R(mm)
D(mm)
Nd
V



















The magnification-side
79.997
4.758
1.6879
50.1164


surface of the first lens 11


The minification-side
−4583.001
0.353
—
—


surface of the first lens 11


The magnification-side
60.664
1.8
1.5382
65.5839


surface of the second lens


12


The minification-side
22.373
8.82
—
—


surface of the second lens


12


The magnification-side
−67.588
1.8
1.6376
56.2887


surface of the third lens 13


The minification-side
31.666
D6 (see
—
—


surface of the third lens 13

table 6)


The magnification-side
−144.43
7
1.6885
50.0393


surface of the fourth lens 21


The minification-side
−46.511
0.17
—
—


surface of the fourth lens 21


The magnification-side
40.133
4.371
1.7346
34.607


surface of the fifth lens 22


The minification-side
−800.197
D10 (see
—
—


surface of the fifth lens 22

table 6)


The surface of aperture stop
infinite
0.17
—
—


95


The magnification-side
35.664
3.542
1.5362
65.747


surface of the sixth lens 31


interface between the sixth
−24.865
1.737
1.5775
42.1955


lens 31 and the seventh lens


32


The minification-side
−49.067
D14 (see
—
—


surface of the seventh lens

table 6)


32


The magnification-side
295.347
1.931
1.7544
27.6128


surface of the eighth lens


41


The minification-side
22.836
5.871
—
—


surface of the eighth lens


41


The magnification-side
13.832
1.543
1.7529
29.9514


surface of the ninth lens 42


The interface between the
57.817
7.371
1.5779
62.747


ninth lens 42 and the tenth


lens 43


The minification-side
−18.979
0.17
—
—


surface of the tenth lens 43


The magnification-side


surface of the eleventh lens
173.897
5.237
1.744
44.8504


44


The minification-side
−41.247
D21 (see
—
—


surface of the eleventh lens

table 6)


44


The magnification-side
42.322
5.064
1.744
44.8504


surface of the twelfth lens


The minification-side
−610.59
4.028
—
—


surface of the twelfth lens


Magnification-side surface
infinite
23
1.5168
64.1673


of the PBS prism 96


Minification-side surface of
infinite
4
—
—


the PBS prism 96


Magnification-side surface
infinite
0.5
1.523014
58.5876


of the halfwave plate 97


Minification-side surface of
infinite
1
—
—


the halfwave plate 97


Magnification-side surface
infinite
2.2
1.5168
64.1673


of the polarizer 98


Minification-side surface of
infinite
1
—
—


the polarizer 98


The surface 99
infinite
—
—
—























TABLE 6





Lens state
F (mm)
FNo
2ω
D1 (mm)
D2 (mm)
D3 (mm)
D4 (mm)






















Wide angle state
20.05
1.84
54.22°
13.567
15.678
0.21
0.2


Telephoto state
24.06
2.09
45.71°
7.962
13.76
3.281
3.576









As illustrated in FIGS. 19 ̃26, spherical aberration occurring in the zoom lens 100 of Example 3 is limited to be in a range of: −0.2 mm ̃0.2 mm, field curvature occurring in the zoom lens 100 of Example 3 is limited to a range of: −0.15 mm ̃0.15 mm, distortion occurring in the zoom lens 100 of Example 3 is limited to be within the range of: −5% ̃5%, lateral chromatic aberration occurring in the zoom lens 100 of Example 3 is limited to a range of: −10 um ̃10 um.
In all, in Examples 1 ̃3, aberrations occurring in the zoom lens 100 are controlled/corrected to be at an acceptable level, and changes in aberrations are reduced to acceptable levels as well, over the entire zoom range of the zoom lens 100, accordingly, a high resolution of zoom lens 100 is obtained, and maintained over the entire zooming range of the zoom lens 100.
It will be understood that the above particular embodiments and methods are shown and described by way of illustration only. The principles and the features of the present invention may be employed in various and numerous embodiment thereof without departing from the scope of the invention as claimed. The above-described embodiments illustrate the scope of the invention but do not restrict the scope of the invention.

## Claims

1. A zoom lens for use in projection technology comprising, in this order from the magnification side to the minification side thereof,
a first lens group having negative refraction of power,
a second lens group having positive refraction of power,
a third lens group having positive refraction of power,
a fourth lens group having negative refraction of power, and
a fifth lens group having positive refraction of power,
wherein the zoom lens satisfies the formulas: −1.5<F1/Fw<−1.3, 1.5<F2/Fw<1.8, 1.8<F3/Fw<2.2, −10<F4/Fw<−5, and 2.3<F5/Fw<2.8, where F1, F2, F3, F4, F5, and Fw respectively represent the effective focal length of the first lens groups, the second lens group, the third lens group, the fourth lens group, the fifth lens group, and the shortest effective focal length of the zoom lens.

2. The zoom lens as claimed in claim 1, wherein the first lens group and the fifth lens group are immovably mounted, and the second lens group, the third lens group, and the fourth lens group being movably mounted.

3. The zoom lens as claimed in claim 1, further satisfying the formula: V1>55, where V1 is the average of Abbe number of the lenses in the first lens group.

4. The zoom lens as claimed in claim 1, wherein the first lens group comprises, in this order from the magnification side to the minification side of the zoom lens, a first lens having positive refraction of power, a second lens having negative refraction of power, and a third lens having negative refraction of power.

5. The zoom lens as claimed in claim 1, wherein the second lens group includes, in this order from the magnification side to the minification side of the zoom lens, a first lens having positive refraction of power, and a second lens having positive refraction of power.

6. The zoom lens as claimed in claim 1, wherein the third lens group includes, in this order from the magnification side to the minification side of the zoom lens, a first lens having positive refraction of power, and a second lens having negative refraction of power.

7. The zoom lens as claimed in claim 6, wherein the first lens and the second lens are attached together.

8. The zoom lens as claimed in claim 1, wherein the fourth lens group includes, in this order from the magnification side to the minification side of the zoom lens, a first lens having negative refraction of power, a second lens having negative refraction of power, a third lens having positive refraction of power, and a fourth lens having positive refraction of power.

9. The zoom lens as claimed in claim 8, wherein the second lens and the third lens are attached together.

10. The zoom lens as claimed in claim 1, wherein the fifth lens group comprises a lens having positive refraction of power.

11. The zoom lens as claimed in claim 1, further comprising an aperture stop, the aperture stop being interposed between the second lens group and the third lens group.