CN113341550B - Zoom lens applied to projection - Google Patents

Zoom lens applied to projection Download PDF

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Publication number
CN113341550B
CN113341550B CN202110860945.0A CN202110860945A CN113341550B CN 113341550 B CN113341550 B CN 113341550B CN 202110860945 A CN202110860945 A CN 202110860945A CN 113341550 B CN113341550 B CN 113341550B
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lens
lens group
group
refractive index
projection
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CN113341550A (en
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陈怡学
尹蕾
葛睿
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Chengdu Jimi Technology Co Ltd
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Chengdu Jimi Technology Co Ltd
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Priority to PCT/CN2022/083348 priority patent/WO2023005244A1/en
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B15/00Optical objectives with means for varying the magnification
    • G02B15/14Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective
    • G02B15/145Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective having five groups only
    • G02B15/1455Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective having five groups only the first group being negative
    • G02B15/145531Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective having five groups only the first group being negative arranged -++++
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/18Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration

Abstract

The invention discloses a zoom lens applied to projection, wherein a first lens group is used for diverging entering light rays, a second lens group is used for adjusting the propagation angle of the entering light rays, a third lens group is used for adjusting the aperture of light beams, and a diaphragm is positioned between the third lens group and a fourth lens group. The diaphragm can move along the optical axis along with the fourth lens group and the relative position of the diaphragm and the fourth lens group is unchanged, and the diaphragm can move along with the fourth lens group in the zooming process, so that the clear aperture of the lens tends to be constant in the zooming process, and the image brightness tends to be constant in the zooming process. By optimally designing the number of lenses of each lens group, the surface shape of each lens and each optical parameter of each lens, the zoom lens can meet the application requirements of high imaging quality, compact and miniaturized structure and low cost.

Description

Zoom lens applied to projection
Technical Field
The invention relates to the technical field of optical lenses, in particular to a zoom lens applied to projection.
Background
As the application degree of the projector in the home, office, and classroom is becoming wider, the user has more and more demands on the projection distance, the screen size, and the brightness. Therefore, the zoom lens has the advantages of compact structure, excellent imaging quality and low cost, and is very important for the environmental adaptability of the projector. In summary, how to design a lens with high imaging quality, miniaturized structure and satisfactory image brightness under the condition of limited cost is one of the technical problems of the design of the lens applied to projection at present.
Disclosure of Invention
The invention aims to provide a zoom lens applied to projection, which can enable the image brightness to tend to be constant in the zooming process, and can meet the market demands of high imaging quality, compact and miniaturized structure and low cost.
In order to achieve the purpose, the invention provides the following technical scheme:
a zoom lens applied to projection comprises a first lens group, a second lens group, a third lens group, a fourth lens group and a fifth lens group which are sequentially arranged from an enlargement side to a reduction side, wherein the second lens group, the third lens group and the fourth lens group can respectively move along an optical axis, the first lens group is used for diverging entering light, the second lens group is used for adjusting the propagation angle of the entering light, the third lens group is used for adjusting the aperture of a light beam, a diaphragm is positioned between the third lens group and the fourth lens group, and the diaphragm can move along the optical axis along with the fourth lens group and does not change with the relative position of the fourth lens group.
Preferably, the first lens group includes a first lens, a distance from the first lens to the second lens group is greater than a distance from any other lens in the first lens group to the second lens group, and at least one surface of the first lens is an aspherical surface.
Preferably, the third lens group includes a first cemented lens including at least a lens having a first refractive index and a lens having a second refractive index, the first refractive index being greater than the second refractive index.
Preferably, the fourth lens group includes a second cemented lens adjacent to the diaphragm, the second cemented lens including at least a lens having a third refractive index and a lens having a fourth refractive index, the third refractive index being greater than the fourth refractive index.
Preferably, the fourth lens group includes a lens at least one surface of which is aspherical.
Preferably, diopters of the first lens group, the second lens group, the third lens group, the fourth lens group and the fifth lens group are negative, positive and positive in sequence.
Preferably, the first lens group includes a first lens and a second lens which is a biconcave lens, the second lens group includes a third lens which is a biconvex lens, the third lens group includes a first cemented lens, and diopters of the first lens, the second lens, the third lens and the first cemented lens are negative, positive and positive in sequence.
Preferably, the fifth lens group includes a tenth lens which is a biconcave lens, an eleventh lens which is a biconvex lens, and a twelfth lens which is a planoconvex lens, and the tenth lens and the eleventh lens are cemented.
Preferably, the second lens group, the third lens group, and the fourth lens group each move to the reduction side when changing from the wide-angle end to the remote end, and the second lens group, the third lens group, and the fourth lens group each move to the enlargement side when changing from the remote end to the wide-angle end.
Preferably, the following are satisfied: the f-number Fno is less than or equal to 1.55, the EFL is less than or equal to 12mm and less than or equal to 13mm at the wide-angle end, the EFL is less than or equal to 15mm and less than or equal to 16mm at the far-end, and the EFL represents the effective focal length of the lens.
According to the above technical solution, the zoom lens applied to projection provided by the present invention includes a first lens group for diverging an incoming light, a second lens group for adjusting a propagation angle of the incoming light, a third lens group for adjusting a diameter of a light beam, and a stop located between the third lens group and the fourth lens group. The diaphragm can move along the optical axis along with the fourth lens group and the relative position of the diaphragm and the fourth lens group is unchanged, the diaphragm can move along with the fourth lens group in the zooming process, the clear aperture of the lens can tend to be constant in the zooming process, and therefore the image brightness tends to be constant in the zooming process. By optimally designing the number of lenses of each lens group, the surface shape of each lens and each optical parameter of each lens, the zoom lens can meet the application requirements of high imaging quality, compact and miniaturized structure and low cost.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
Fig. 1 is a schematic diagram of a zoom lens applied to projection according to an embodiment of the present invention.
Detailed Description
In order to make those skilled in the art better understand the technical solution of the present invention, the technical solution in the embodiment of the present invention will be clearly and completely described below with reference to the drawings in the embodiment of the present invention, and it is obvious that the described embodiment is only a part of the embodiment of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment provides a zoom lens applied to projection, which includes a first lens group, a second lens group, a third lens group, a fourth lens group and a fifth lens group, which are sequentially disposed from an enlargement side to a reduction side, wherein the second lens group, the third lens group and the fourth lens group are respectively movable along an optical axis, the first lens group is used for diverging entering light, the second lens group is used for adjusting a propagation angle of the entering light, the third lens group is used for adjusting a diameter of a light beam, a stop is located between the third lens group and the fourth lens group, and the stop is movable along the optical axis with the fourth lens group and does not change relative position with the fourth lens group.
The enlargement side refers to the side where the screen is located, and the reduction side refers to the side where the image source is located. When the zoom lens is applied to projection, light rays emitted by an image source sequentially pass through the lens groups and are projected onto a screen, and an image is projected onto the screen.
The first lens group is used for diverging the entering light. The second lens group is used for adjusting the propagation angle of the entering light, and the size of the projected image picture can be adjusted by moving the second lens group along the optical axis. The third lens group is used for adjusting the aperture of the light beam, and the clear aperture of the lens can be adjusted by moving the third lens group and the fourth lens group along the optical axis. The diaphragm can move along the optical axis along with the fourth lens group, and can move along with the fourth lens group in the zooming process, so that the clear aperture of the lens in the zooming process tends to be constant, and the image brightness tends to be constant in the zooming process.
The zoom lens of the embodiment can meet the application requirements of high imaging quality, compact and miniaturized structure and low cost by optimally designing the number of lenses of each lens group, the surface shape of each lens and each optical parameter of each lens.
Preferably, in the zoom lens of this embodiment, the first lens group includes a first lens, the first lens is closest to the magnification side in the first lens group, and at least one surface of the first lens is an aspheric surface, so that by reasonably optimizing aspheric coefficients of the lenses, off-axis aberrations can be effectively corrected, and a smaller number of lenses are used and a higher imaging quality is achieved, which contributes to lens miniaturization.
Preferably, in the zoom lens of the present embodiment, the third lens group includes a first cemented lens including at least a lens having a first refractive index and a lens having a second refractive index, the first refractive index being greater than the second refractive index. The third lens group uses the cemented lens which is formed by matching lenses made of materials with different refractive indexes, and spherical aberration, chromatic aberration and sine aberration can be corrected simultaneously.
Preferably, the fourth lens group includes a second cemented lens adjacent to the diaphragm, the second cemented lens including at least a lens having a third refractive index and a lens having a fourth refractive index, the third refractive index being greater than the fourth refractive index. Similarly, the fourth lens group uses a cemented lens formed by matching lenses of different refractive index materials, and the achromatic design is performed, so that spherical aberration, chromatic aberration, and sinusoidal aberration can be corrected at the same time.
Preferably, the fourth lens group includes a lens having at least one aspherical surface, and by using an aspherical lens and reasonably optimizing the aspherical coefficient of the lens, off-axis aberration can be effectively corrected, which helps to reduce the number of lenses and control cost.
Preferably, in the zoom lens of the present embodiment, diopters of the first lens group, the second lens group, the third lens group, the fourth lens group and the fifth lens group are negative, positive and positive in order. The third lens group is arranged at the front end of the diaphragm, the third lens has positive diopter, can effectively converge light, converges the entering light to the diaphragm, reduces the aperture of the diaphragm, and is convenient for designing the projection lens with small outer diameter volume.
Referring to fig. 1, fig. 1 is a schematic view of a zoom lens provided in the present embodiment, and the zoom lens includes a first lens group G1, a second lens group G2, a third lens group G3, a fourth lens group G4, and a fifth lens group G5.
Wherein the first lens group G1 includes a first lens L1 and a second lens L2, the first lens L1 is an aspherical lens capable of correcting distortion, astigmatism, coma and curvature of field, and a surface thereof toward the magnification side and a surface thereof toward the reduction side may both be even-order aspherical. The second lens L2 is a biconcave lens, can diverge the light from the lens L1, and can effectively diverge the light beam without using a plurality of common spherical lenses by matching with the first lens L1, so that the light beam can be conveniently subjected to aberration elimination and collimation by a subsequent lens group. Lens L1 and lens L2 both have negative optical power.
The second lens group G2 includes a third lens L3, and the third lens L3 has a positive refractive power and is a biconvex lens. The surface of the second lens L2 facing the magnification side generates positive distortion, the surface facing the reduction side generates negative spherical aberration and positive coma aberration, and the surface of the third lens L3 facing the magnification side causes positive spherical aberration for correcting the negative spherical aberration of the lens L2 facing the reduction side surface.
The third lens group G3 includes a first cemented lens whose diopter is positive. Specifically, the first cemented lens includes a fourth lens L4 and a fifth lens L5, the fourth lens L4 being a biconvex lens, the fifth lens L5 being a meniscus lens, both of which have positive refractive power. The lens L4 has positive spherical aberration toward the enlargement side surface, and the lens L5 has negative distortion toward the reduction side surface, for correcting the positive distortion of the lens L2 toward the enlargement side surface. Preferably, the refractive index Nd of the fourth lens L4 is less than 1.85, and the refractive index Nd of the fifth lens L5 is greater than 1.93, and both of them may be made of glass.
The fourth lens group G4 includes a second cemented lens including a sixth lens L6, a seventh lens L7, and an eighth lens L8, and a ninth lens L9, the sixth lens L6 is a biconcave lens, the seventh lens L7 is a biconvex lens, and the eighth lens L8 is a biconcave lens. The diopter of each lens is negative, positive, negative and positive in sequence. The lens L7 has a small amount of negative spherical aberration toward the reduction-side surface, the lens L8 has negative distortion, negative astigmatism, negative coma and a small amount of negative spherical aberration toward the reduction-side surface, but is offset by positive distortion, positive astigmatism and positive coma caused by the surface of the rear aspherical lens L9 toward the magnification side, and the lens L9 generates positive spherical aberration and a small amount of positive curvature of field toward the reduction-side surface, so that the negative spherical aberration of the lens L7 toward the reduction-side surface can be compensated.
The refractive index Nd of the sixth lens L6 and the seventh lens L7 may be set to be less than 1.68, and the refractive index Nd of the eighth lens L8 may be set to be greater than 1.8. The ninth lens L9 is an aspherical lens, and its surface toward the enlargement side and the surface toward the reduction side may be an even-order aspherical surface. In addition, because the distance between the aspheric lens and the diaphragm is short, the glass material is favorable for reducing the influence of temperature change on the back focal length, and the inner diameter of the aspheric lens is designed to be less than 20mm, so that the cost control is favorable, and the using number of the lenses is also reduced.
The fifth lens group G5 includes a third cemented lens including a tenth lens L10 which is a biconcave lens and an eleventh lens L11 which is a biconvex lens, and a twelfth lens L12 which is a planoconvex lens, and the respective lens diopters are negative, positive, and positive in this order. The refractive index Nd of the tenth lens L10 is larger than 1.55, the refractive index Nd of the eleventh lens L11 is smaller than 1.47, the cemented lens adopts a lens with a higher refractive index and a lens with a lower refractive index to match, and achromatic design is carried out, so that the whole optical system has smaller chromatic aberration. The fifth lens group G5 is a rear fixed lens group, can effectively restrict the aperture of a light beam, ensures a longer rear working distance and provides enough placing space for each optical element behind the lens.
The zoom lens of the embodiment uses three cemented lenses, greatly simplifies the assembly process, and improves the fault tolerance rate and efficiency of production.
The stop ST can move along the optical axis with the fourth lens group G4. In the zoom lens of the present embodiment, the second lens group G2, the third lens group G3, and the fourth lens group G4 each move to the reduction side when shifting from the wide-angle end to the telecentric end, and the second lens group G2, the third lens group G3, and the fourth lens group G4 each move to the enlargement side when shifting from the telecentric end to the wide-angle end. When the zoom lens is at the wide-angle end, the second lens group G2 can adjust the angle of incidence of light rays to the reduction side by moving to the reduction side, thereby achieving the purpose of reducing the screen size. The lens at the wide-angle end means that each lens group of the lens is at a position where the angle of view of the lens is maximized, and the lens at the far-end means that each lens group of the lens is at a position where the effective focal length of the lens is maximized.
Further, the zoom lens of this embodiment may be provided with a dither mirror 102, so that the lens can simultaneously obtain the inherent size resolution of a Digital Micromirror Device (DMD) chip 100 when the dither mirror is still and the high resolution when the dither mirror is in operation dither.
Preferably, the zoom lens can be used for placing the digital micromirror device chip 100 in a biased manner, that is, the central axis of the digital micromirror device chip 100 deviates from the optical axis of the lens, so that the image projected during the projection work is ensured to be biased upwards, the emergent light beam is higher than the position of the projection lens, and the projection image cannot be shielded by the lens. The prism 101 is used to guide the light emitted from the dmd chip 100 to enter the lens.
Optionally, the curvature radius of the light-incident side surface of the first lens L1 is 0mm to 50mm, the curvature radius of the light-exit side surface is 0mm to 30mm, the curvature radius of the light-incident side surface of the second lens L2 is-50 mm to 0mm, and the curvature radius of the light-exit side surface is 0mm to 50 mm. The curvature radius of the light-in side surface of the third lens L3 is 80 mm-120 mm, and the curvature radius of the light-out side surface is-150 mm-100 mm. The curvature radius of the light-in side surface of the fourth lens L4 is 0 mm-50 mm, the curvature radius of the light-out side surface is-100 mm-50 mm, the curvature radius of the light-in side surface of the fifth lens L5 is-100 mm-50 mm, and the curvature radius of the light-out side surface is-500 mm-400 mm. The curvature radius of the light-in side surface of the sixth lens L6 is-50 mm-0 mm, the curvature radius of the light-out side surface is 0 mm-50 mm, the curvature radius of the light-in side surface of the seventh lens L7 is 0 mm-50 mm, the curvature radius of the light-out side surface is-50 mm-0 mm, the curvature radius of the light-in side surface of the eighth lens L8 is-50 mm-0 mm, the curvature radius of the light-out side surface is 100 mm-150 mm, the curvature radius of the light-in side surface of the ninth lens L9 is 0 mm-50 mm, and the curvature radius of the light-out side surface is-50 mm-0 mm. The curvature radius of the light-in side surface of the tenth lens L10 is-50 mm-0 mm, the curvature radius of the light-out side surface is 0 mm-50 mm, the curvature radius of the light-in side surface of the eleventh lens L11 is 0 mm-50 mm, the curvature radius of the light-out side surface is-50 mm-0 mm, the curvature radius of the light-in side surface of the twelfth lens L12 is 0 mm-50 mm, and the curvature radius of the light-out side surface is 0 mm. The lens light-in side surface refers to a surface of the lens facing the enlargement side, and the lens light-out side surface refers to a surface of the lens facing the reduction side.
As detailed optical data of the zoom lens of a specific example, the following table 1 is where surfaces S1 and S2 are a light-entrance side surface and a light-exit side surface of the first lens L1, surfaces S3 and S4 are a light-entrance side surface and a light-exit side surface of the second lens L2, surfaces S5 and S6 are a light-entrance side surface and a light-exit side surface of the third lens L3, surface S7 is a light-entrance side surface of the fourth lens L4, surfaces S8 and S9 are a light-entrance side surface and a light-exit side surface of the fifth lens L9, surface S9 is a light-entrance side surface and a light-exit side surface of the sixth lens L9, surface S9 is a light-entrance side surface of the seventh lens L9, surfaces S9 and S9 are a light-entrance side surface and a light-exit side surface of the eighth lens L9, surfaces S9 and S9 are a light-entrance side surface and a light-exit side surface of the ninth lens L9, respectively, surfaces S19 and S20 are the light-entrance-side surface and the light-exit-side surface of the twelfth lens L12, respectively.
TABLE 1
Figure 316305DEST_PATH_IMAGE001
The curve equation for the aspherical surface is as follows:
Figure 508251DEST_PATH_IMAGE002
wherein z represents a rise in distance from the aspherical surface vertex at a position of height r in the optical axis direction, c represents a curvature radius of the aspherical surface vertex, k represents a conic coefficient,
α1~α8respectively representing aspheric coefficients of two to sixteen orders.
Table 2 below shows aspheric coefficients of the surface S1 and the surface S2 of the first lens L1.
TABLE 2
Figure 729148DEST_PATH_IMAGE003
The following table 3 is aspheric coefficients of the surface S14 and the surface S15 of the ninth lens L9.
TABLE 3
Figure 82769DEST_PATH_IMAGE004
The zoom lens of the present embodiment is shifted from the telecentric end to the wide-angle end by the variation amount of the separation distance of the second lens surface S4 and the third lens surface S5, the variation amount of the separation distance of the third lens surface S6 and the fourth lens surface S7, the variation amount of the separation distance of the fifth lens surface S9 and the stop ST, and the variation amount of the separation distance of the ninth lens surface S15 and the tenth lens surface S16, as shown in table 4.
TABLE 4
Figure 677699DEST_PATH_IMAGE005
Preferably, the distance between the second lens group G2 and the third lens group G3 is controlled to be 20mm-23mm, so that the aperture of the light beam can be restricted accurately, the light can pass through the diaphragm ST behind the third lens group G3 to the maximum extent, and the light energy loss is reduced.
The horizontal lines running through the respective lens groups in fig. 1 indicate central axes. The zoom lens of the embodiment satisfies: EFL is more than or equal to 12mm and less than or equal to 13mm at the wide-angle end, EFL is more than or equal to 15mm and less than or equal to 16mm at the far-end, and EFL represents the effective focal length of the lens. Also satisfying the zoom ratio: 1.2-1.3; f-number: fno is less than or equal to 1.55; the total lens length TTL is less than or equal to 140 mm; the angle of the far center is less than or equal to 1.1 degrees; the clear aperture of each glass lens is less than 26.5 mm.
The zoom lens of the embodiment has a precise structure, and realizes a compact projection lens with low cost, small volume and excellent imaging quality. The projection lens can form a projection picture of 72 inches to 90 inches at the position of 2415 mm. When shifting from the wide-angle end to the distal end, the second lens group G2, the third lens group G3, and the fourth lens group G4 all move to the reduction side, and it is possible to reduce the screen size from 90 inches to 72 inches at the same projection distance and maintain high image quality. This projection lens uses optical design software to carry out the optics optimal design that relapse to each lens radius of curvature of projection lens, material, thickness, air space and design two pieces of aspherical mirror pieces based on the optical imaging principle, reaches that the aberration is very little, high resolution, compact structure, design benefit can make volume production nature height, the batch production of being convenient for.
The zoom lens applied to projection provided by the invention is described in detail above. The principles and embodiments of the present invention are explained herein using specific examples, which are presented only to assist in understanding the method and its core concepts. It should be noted that, for those skilled in the art, it is possible to make various improvements and modifications to the present invention without departing from the principle of the present invention, and those improvements and modifications also fall within the scope of the claims of the present invention.

Claims (8)

1. A zoom lens applied to projection is characterized by comprising five groups of lens groups, namely a first lens group, a second lens group, a third lens group, a fourth lens group and a fifth lens group which are sequentially arranged from an enlargement side to a reduction side, wherein diopters of the lens groups are negative, positive and positive in sequence, the second lens group, the third lens group and the fourth lens group can respectively move along an optical axis, the first lens group is used for diverging entering light, the second lens group is used for adjusting the propagation angle of the entering light, the third lens group is used for adjusting the aperture of a light beam, a diaphragm is positioned between the third lens group and the fourth lens group, and the diaphragm can move along the optical axis along with the fourth lens group and is unchanged relative to the fourth lens group;
satisfies the following conditions: the f-number Fno is less than or equal to 1.55, the EFL is less than or equal to 12mm and less than or equal to 13mm at the wide-angle end, the EFL is less than or equal to 15mm and less than or equal to 16mm at the far-end, and the EFL represents the effective focal length of the lens.
2. A zoom lens applied to projection as recited in claim 1, wherein the first lens group comprises a first lens, a distance from the first lens to the second lens group is greater than a distance from any other lens in the first lens group to the second lens group, and at least one surface of the first lens is aspheric.
3. A zoom lens applied to projection as recited in claim 1, wherein the third lens group comprises a first cemented lens including at least a lens having a first refractive index and a lens having a second refractive index, the first refractive index being greater than the second refractive index.
4. A zoom lens for projection as recited in claim 1, wherein the fourth lens group comprises a second cemented lens adjacent to the stop, the second cemented lens comprising at least a lens having a third refractive index and a lens having a fourth refractive index, the third refractive index being greater than the fourth refractive index.
5. A zoom lens applied to projection as recited in claim 1, wherein the fourth lens group comprises a lens at least one surface of which is aspheric.
6. A zoom lens applied to projection according to any one of claims 1 to 5, wherein the first lens group comprises a first lens and a second lens which is a biconcave lens, the second lens group comprises a third lens which is a biconvex lens, and the third lens group comprises a first cemented lens, and the diopter of the first lens, the second lens, the third lens and the first cemented lens is negative, positive and positive in sequence.
7. A zoom lens applied to projection according to any one of claims 1 to 5, wherein the fifth lens group comprises a tenth lens which is a biconcave lens, an eleventh lens which is a biconvex lens, and a twelfth lens which is a plano-convex lens, the tenth lens and the eleventh lens being cemented.
8. A zoom lens applied to projection according to claim 1, wherein the second lens group, the third lens group and the fourth lens group each move to a reduction side when changing from a wide-angle end to a remote end, and the second lens group, the third lens group and the fourth lens group each move to a magnification side when changing from a remote end to a wide-angle end.
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