CN107037512A - A kind of high efficiency diffraction lens - Google Patents

A kind of high efficiency diffraction lens Download PDF

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CN107037512A
CN107037512A CN201710357884.XA CN201710357884A CN107037512A CN 107037512 A CN107037512 A CN 107037512A CN 201710357884 A CN201710357884 A CN 201710357884A CN 107037512 A CN107037512 A CN 107037512A
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lens
diffractive lens
high efficiency
efficiency
fresnel
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CN107037512B (en
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叶佳声
冯胜飞
张岩
李烨
赵欢
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Capital Normal University
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Capital Normal University
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00Simple or compound lenses
    • G02B3/02Simple or compound lenses with non-spherical faces
    • G02B3/08Simple or compound lenses with non-spherical faces with discontinuous faces, e.g. Fresnel lens

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Diffracting Gratings Or Hologram Optical Elements (AREA)

Abstract

The invention discloses a kind of high efficiency diffraction lens, include lenticular body and lens face, the lens face is made up of multiple according to Fresnel region, the height of the Fresnel region is reduced successively according to the order from center to edge, and the width of the Fresnel region is reduced successively according to the order from center to edge;A kind of high efficiency diffraction lens that the present invention is provided compares conventional diffraction lens, it is able to ensure that the light modulated by lens focal position on axle produces strict interference synergistic effect, with the peak light intensity higher than conventional diffraction lens, focusing efficiency, smaller spot size, and actual focal position is closer to theoretic predetermined focal position, with more preferable focal imaging quality.

Description

High-efficiency diffraction lens
Technical Field
The invention relates to the technical field of diffraction lenses, in particular to a high-efficiency diffraction lens.
Background
The diffractive optical element has the unique advantages of small volume, light weight, low manufacturing cost, higher diffraction efficiency, special dispersion performance, more design freedom, wide material selectivity and the like, is an important component in a micro optical system, and has wide application prospects in various fields of laser beam focusing, optical coupling, wavefront multiplexing, optical sensing, optical storage and the like.
In the prior art, when designing a diffraction lens, a contour model design is usually adopted, that is, a part of the refraction lens exceeding the phase of 2 pi is removed, so as to form a conventional diffraction lens with the maximum phase difference of 2 pi. As shown in fig. 1, a schematic diagram of the lens surface boundary of a conventional diffractive lens, wherein the directions of the x-axis and the y-axis are shown, the z-axis is perpendicular to the x-y plane, the positive direction of the z-axis is defined to be perpendicular to the x-y plane and outward, the dotted line represents the boundary of the refractive lens, and the solid line represents the boundary of the conventional diffractive lens, the conventional diffractive lens can be considered to be obtained by removing the part of the refractive lens with the phase exceeding 2 pi. The conventional diffractive lens has an aperture D, is symmetric about the y-axis, and is arbitrarily long in the z-axis direction. The boundary of the conventional diffractive lens divides the entire space into two parts: the upper half part has refractive index n1The lower half of the dielectric medium has a refractive index n2And a plane wave polarized by TE (Transverse Electro waves, electromagnetic waves with the vibration direction of an electric field perpendicular to the wave propagation direction) with the wavelength of lambda is incident on the boundary of the conventional diffraction lens along the direction of the-y axis, and is focused on one point (0, -f) on the y axis after being subjected to phase modulation of the boundary of the conventional diffraction lens, wherein f represents the preset focal length of the lens.
According to the prior art, the edge of a conventional diffractive lens in the m-th Fresnel zone can be derivedHeight of boundary hF(x) Comprises the following steps:
hF(x)=Mod[hr(x),Δh]=hr(x)-|m|Δh,m=0,±1,±2,...
wherein, the 0 th Fresnel zone is a central Fresnel zone, the 1 st and-1 st Fresnel zones are respectively the first Fresnel zones on the right side and the left side of the central Fresnel zone, and so on; mod [ A, B) ═ A-Int [ A/B]× B denotes a remainder function, Int [ A/B ]]Representing an integer function, wherein A and B are integers; m represents the ordinal number of the Fresnel zone within-D/2. ltoreq. x.ltoreq.D/2,a modulation thickness corresponding to an incident light with a wavelength λ at a phase of 2 π; h isr(x) The boundary height of the refractive lens can be expressed as:
abscissa at mth fresnel zone jump position of the conventional diffractive lensCan be expressed as:
it can be seen that the maximum height of a conventional diffractive lens within each fresnel zone is equal. Although the jump height between adjacent fresnel zones corresponds to a phase difference of 2 pi for plane waves parallel to the optical axis, the jump phase difference between adjacent fresnel zones is no longer 2 pi for the focal point, and designing a diffractive lens according to a conventional contour model would not produce the optimum interference superposition effect at the focal point. In particular, for a lens having a smaller focal length, since paraxial approximation is no longer true, the number of fresnel zones is large, and the focusing performance of the diffraction lens will be drastically degraded.
Disclosure of Invention
In view of the above, the present invention is directed to a high efficiency diffractive lens capable of generating a strict interference superposition effect at a focusing position, and having higher focusing efficiency and focusing resolution than the existing diffractive lens.
The present invention provides a high-efficiency diffractive lens including a lens surface and a lens body, wherein the lens surface includes a plurality of fresnel regions, the heights of the fresnel regions decrease in order from the center to the edge, the widths of the fresnel regions decrease in order from the center to the edge, and the jump phase difference between two adjacent fresnel regions is 2 pi.
Optionally, the one high-efficiency diffraction lens is a cylindrical fresnel lens, the lens surface of the one high-efficiency diffraction lens is composed of a plurality of fresnel zones which are bilaterally symmetrical, and the boundary height h of the one high-efficiency diffraction lens at the position with the abscissa of x in the mth fresnel zone is the height hm(x) Satisfies the following conditions:
wherein ,n1Is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the high efficiency diffractive lens, f is a predetermined focal length, and λ is the wavelength of the incident light; the position of the trip point of the mth Fresnel zone of the high-efficiency diffraction lensSatisfies the following conditions:
wherein ,n1Is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the one high efficiency diffractive lens, f is the predetermined focal length, and λ is the wavelength of the incident light.
Optionally, the one high-efficiency diffraction lens is a circular fresnel lens, a lens surface of the one high-efficiency diffraction lens is formed by a series of concentric annular fresnel zones, and a boundary height h of a position with an x abscissa in the mth fresnel zone ism(r) satisfies:
wherein ,n1is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the high efficiency diffractive lens, f is a predetermined focal length, and λ is the wavelength of the incident light; the position of the trip point of the mth Fresnel zone of the high-efficiency diffraction lensSatisfies the following conditions:
wherein , wherein ,n1is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the one high efficiency diffractive lens, f is the predetermined focal length, and λ is the wavelength of the incident light.
Optionally, the shape of the high-efficiency diffraction lens is set according to actual needs, and comprises a cylindrical fresnel lens, a circular fresnel lens or other shapes.
Optionally, the material of the high-efficiency diffraction lens is photoresist.
From the above, compared with the conventional diffraction lens, the high-efficiency diffraction lens provided by the invention has the advantages that the boundary of each Fresnel zone is designed to be unequal in height, so that the jump phase difference between two adjacent Fresnel zones is 2 pi, and the light modulated by the lens is ensured to generate a strict interference superposition effect at the on-axis focal position, and the high-efficiency diffraction lens has higher peak light intensity, higher focusing efficiency and smaller spot size than the conventional diffraction lens, and has better focusing imaging quality because the actual focusing position is closer to the theoretical preset focusing position.
Drawings
FIG. 1 is a schematic view of the lens face boundary of a conventional diffractive lens;
FIG. 2 is a perspective view of a high-efficiency diffractive lens according to embodiment 1 of the present invention;
FIG. 3 is a schematic diagram of the lens surface boundary of a high efficiency diffractive lens according to embodiment 1 of the present invention;
FIG. 4 is a schematic diagram showing a comparison between the lens surface boundary profiles of a high-efficiency diffractive lens and a conventional diffractive lens in example 2 of the present invention;
FIG. 5 is a diagram of a conventional diffractive lens light intensity distribution;
FIG. 6 is a light intensity distribution diagram of a high-efficiency diffractive lens according to embodiment 2 of the present invention;
FIG. 7 is a diagram comparing the light intensity distribution on the focal plane of a high-efficiency diffractive lens and a conventional diffractive lens in example 2 of the present invention;
FIG. 8 is a comparison graph of the optical intensity distribution of a high-efficiency diffractive lens according to embodiment 2 of the present invention and a conventional diffractive lens on the optical axis;
FIG. 9 is a schematic diagram of a test platform for a high-efficiency diffractive lens and a conventional diffractive lens according to embodiment 3 of the present invention;
FIG. 10 is a focal plane intensity distribution diagram of a high efficiency diffractive lens according to embodiment 3 of the present invention;
FIG. 11 is a focal plane intensity distribution diagram of a conventional diffractive lens according to embodiment 3 of the present invention;
FIG. 12 is a diagram comparing the light intensity distribution on the focal plane of a high-efficiency diffractive lens and a conventional diffractive lens in example 3 of the present invention;
FIG. 13 is a comparison graph of the optical intensity distribution on the optical axis of a high-efficiency diffractive lens according to example 3 of the present invention and a conventional diffractive lens;
FIG. 14 is a perspective view of a high-efficiency diffractive lens according to embodiment 4 of the present invention;
FIG. 15 is a schematic diagram of a radial longitudinal section of a high efficiency diffractive lens according to embodiment 4 of the present invention;
fig. 16 is a schematic diagram of a lens surface boundary of a radial longitudinal section of a high-efficiency diffractive lens according to embodiment 4 of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to specific embodiments and the accompanying drawings.
Example 1:
embodiment 1 of the present invention provides a high-efficiency diffractive lens, which is a cylindrical fresnel lens, and as shown in fig. 2, is a perspective view of the high-efficiency diffractive lens according to embodiment 1 of the present invention, the high-efficiency diffractive lens includes a lens body 2 and a lens surface 1, the lens surface 1 is composed of a plurality of fresnel zones symmetrically distributed from left to right, the heights of the fresnel zones decrease in order from the middle to both sides, and the widths of the fresnel zones decrease in order from the middle to both sides.
Fig. 3 is a schematic diagram of the lens surface boundary of a high-efficiency diffractive lens according to embodiment 1 of the present invention, in which the directions of the x-axis and the y-axis are shown, the z-axis is perpendicular to the x-y plane, the positive direction of the z-axis is defined as being perpendicular to the x-y plane and facing outward, the dotted line represents the boundary of the refractive lens, and the solid line represents the boundary of the high-efficiency diffractive lens. The high-efficiency diffraction lens is symmetrical about the y axis and has any length in the z axis direction, and the boundary height of the high-efficiency diffraction lens is hm(x) In that respect The boundary of the high-efficiency diffraction lens divides the whole space into an upper part and a lower part: the upper half part has refractive index n1I.e. said one high efficiency diffractive lens has a refractive index n1(ii) a The lower half has a refractive index n2The other dielectric of (2), i.e. the dielectric outside the one high efficiency diffractive lens, has a refractive index n2And TE polarized plane waves with the wavelength of lambda are incident on the boundary of the conventional diffraction micro-cylindrical lens along the direction of the-y axis, and are focused on a point (0, -f) on the y axis after being subjected to phase modulation of the boundary of the high-efficiency diffraction lens, wherein f represents the preset focal length of the lens.
First, for the focusing position (0, -f) on the optical axis, if the phase difference between two adjacent Fresnel zones of the one type of high efficiency diffractive lens is made to be 2 π, the position of the trip point of the mth Fresnel zone isIt should satisfy:
whereinThe 0 th Fresnel zone is a central Fresnel zone; the 1 st Fresnel zone and the-1 st Fresnel zone are respectively the first Fresnel zone on the right side and the left side of the central Fresnel zone, are symmetrical about the central Fresnel zone, and are analogized in sequence; the location of the trip point of the mth fresnel zoneComprises the following steps:
secondly, in order to generate the optimal interference superposition effect at the focusing position (0, -f), it is also necessary to ensure that all boundary points have the same phase within the same fresnel zone according to the fermat principle, i.e. the two rays in fig. 3 have equal optical paths, and this relationship can be expressed as:
the boundary height h of the high-efficiency diffraction lens in the mth Fresnel zone can be obtainedm(x) Comprises the following steps:
compared with the conventional diffraction micro-cylindrical lens, the high-efficiency diffraction lens provided by the embodiment 1 of the invention adopts an unequal height design method, ensures that the phase difference of adjacent Fresnel zones is strictly 2 pi, can ensure that light modulated by the lens generates a strict interference superposition effect at an on-axis focal position, and has higher imaging quality and accuracy than the conventional diffraction micro-cylindrical lens.
Example 2:
embodiment 2 of the present invention providesThe high-efficiency diffraction lens is a cylindrical Fresnel lens, the aperture D is 20 mu m, and the refractive index n of an upper half-space dielectric material is used for verifying the focusing and imaging effect of the high-efficiency diffraction lens on light by adopting theoretical derivation11.5, i.e. refractive index n of the one high efficiency diffractive lens provided in embodiment 2 of the present invention11.5, refractive index n of the lower half-space dielectric material2The predetermined focal length f is 1.0, 4 μm.
Fig. 4 is a schematic diagram showing a comparison between the lens surface boundary profiles of the high-efficiency diffractive lens of example 2 of the present invention and the conventional diffractive lens. The conventional diffraction lens is also a cylindrical Fresnel lens having the same aperture, predetermined focal length and refractive index as the one high efficiency diffraction lens, i.e., the aperture D of the conventional diffraction lens is 20 μm and the refractive index n of the upper half space dielectric material is11.5, refractive index n of the lower half-space dielectric material2The predetermined focal length f is 1.0, 4 μm.
As can be seen from fig. 4, the maximum height of the fresnel zone of the one type of high efficiency diffractive lens is lower than that of the conventional diffractive lens and the heights of the fresnel zones of the one type of high efficiency diffractive lens are gradually decreased in the direction from the center to both sides, unlike the conventional diffractive lens in which the heights of the fresnel zones are equal.
The performance of the high-efficiency diffraction lens and the performance of the conventional diffraction lens are respectively analyzed by adopting a strict electromagnetic theory and a boundary element method by adopting a TE polarized plane wave with the wavelength of 0.633 mu m as incident light. Performance metrics for the one high efficiency diffractive lens and the conventional diffractive lens include: the focusing efficiency is the percentage of the energy focused in the main lobe on an actual focal plane to the total incident energy; the size of the light spot is the distance between the lowest light intensity positions on two sides of the main lobe on the actual focal plane; the actual focusing position is the position corresponding to the maximum light intensity on the optical axis.
FIG. 5 is a diagram showing a light intensity distribution of a conventional diffraction lens; fig. 6 is a graph showing a light intensity distribution of a high-efficiency diffractive lens according to embodiment 2 of the present invention. It can be seen that the high-efficiency diffraction lens of the embodiment of the invention has only one focus, and stray light does not exist around the focus; the conventional diffraction lens has a plurality of focal points, cannot be strictly imaged at a predetermined focal position, and a large amount of stray light exists around each focal point.
Fig. 7 is a diagram comparing the light intensity distribution on the focal plane of a high-efficiency diffractive lens according to embodiment 2 of the present invention with that of a conventional diffractive lens; the peak light intensity of the high-efficiency diffraction lens is 54.3V/m, the focusing efficiency is 38.61%, and the spot size is 0.557 mu m; the peak light intensity of the conventional diffraction lens is 18.4V/m, the focusing efficiency is 19.85%, and the spot size is 0.897 μm. It can be seen that the high-efficiency diffraction lens provided by the embodiment 2 of the invention has a much larger peak light intensity than the conventional diffraction lens, and has a smaller spot size and higher focusing efficiency.
Fig. 8 is a graph showing the comparison of the optical intensity distribution on the optical axis between the high-efficiency diffractive lens of example 2 of the present invention and the conventional diffractive lens. The actual focusing position of the high-efficiency diffraction lens is 4.06 mu m and only has one focus; the actual focus position of the conventional diffractive lens is 3.93 μm, but there are two more focal points on either side of the maximum intensity position. It can be seen that the high-efficiency diffractive lens provided by embodiment 2 of the present invention has better focusing quality than the conventional diffractive lens, the actual focusing position is closer to the predetermined focusing position, and only has a unique intersection point.
In summary, the high-efficiency diffractive lens provided in embodiment 2 of the present invention adopts an unequal height design method, so as to ensure that the phase difference between adjacent fresnel regions is 2 pi, and the high-efficiency diffractive lens has higher focusing efficiency and smaller spot size than a conventional diffractive lens, and the actual focusing position is closer to the theoretical predetermined focusing position, thereby having better focusing and imaging quality.
Example 3
Fig. 9 is a schematic diagram of a test platform for a high-efficiency diffractive lens and a conventional diffractive lens in embodiment 3 of the present invention; embodiment 3 of the present invention provides a high efficiency diffraction lens, and the test platform is used to actually test the high efficiency diffraction lens and the conventional diffraction lens, wherein the high efficiency diffraction lens and the conventional diffraction lens are cylindrical fresnel lenses, the aperture D is 20 μm, and the refractive index n of the upper half-space dielectric material11.5, refractive index n of the lower half-space dielectric material2The predetermined focal length f is 1.0, 4 μm.
Fig. 10 is a focal plane intensity distribution diagram of a high-efficiency diffractive lens according to embodiment 3 of the present invention; FIG. 11 is a focal plane intensity distribution diagram of a conventional diffractive lens according to example 3 of the present invention; it can be seen that the high efficiency diffractive lens exhibits a clear and bright spot at a predetermined focal position with a spot size much smaller than that of the conventional diffractive lens.
Fig. 12 is a diagram showing a comparison of the light intensity distribution on the focal plane between a high-efficiency diffractive lens and a conventional diffractive lens in embodiment 3 of the present invention; the peak light intensity of the high-efficiency diffraction lens is 203V/m, the spot size is 1.10 mu m, and the experimental focusing efficiency is 16.23%; the peak light intensity of the conventional diffraction lens is 99V/m, the spot size is 1.38 mu m, and the experimental focusing efficiency is 11.42%.
FIG. 13 is a comparison graph of the optical intensity distribution on the optical axis of the high-efficiency diffractive lens according to example 3 of the present invention and the conventional diffractive lens. The axial peak light intensity of the high-efficiency diffraction lens is 207V/m, and the actual focusing position is 4 mu m; the axial peak light intensity of the conventional diffraction lens is 103V/m, and the actual focusing position is 2 mu m. It can be seen that the one high efficiency diffractive lens has a higher axial peak optical intensity and axial resolution than the conventional diffractive lens, with the actual focus position closer to the predetermined focus position.
In summary, the high-efficiency diffractive lens provided in embodiment 3 of the present invention adopts an unequal height design method, so as to ensure that the phase difference between adjacent fresnel regions is 2 pi, and the high-efficiency diffractive lens has higher peak light intensity and focusing efficiency than a conventional diffractive lens, and has a smaller focused light spot size and better optical performance.
Example 4
Embodiment 4 of the present invention provides a high efficiency diffractive lens, which is a circular fresnel lens, as shown in fig. 14, and is a schematic perspective view of the high efficiency diffractive lens in embodiment 4 of the present invention; fig. 15 is a schematic radial longitudinal section view of a high-efficiency diffractive lens according to embodiment 4 of the present invention. The high-efficiency diffraction lens is a cylinder, one bottom surface of the high-efficiency diffraction lens is a lens surface, the lens surface is composed of a plurality of concentric annular Fresnel zones, the heights of the Fresnel zones are sequentially reduced from inside to outside, and the widths of the Fresnel zones are sequentially reduced from inside to outside.
Fig. 16 is a schematic diagram of the lens surface boundary of the radial longitudinal section of the high-efficiency diffractive lens according to embodiment 4 of the present invention. Wherein the x-axis and y-axis directions are as shown in the figure, the z-axis is perpendicular to the x-y plane, the positive z-axis direction is defined as being perpendicular to the x-y plane and outwards, and the height of the boundary of the high-efficiency diffraction lens is hm(x) In that respect Since the one type of high efficiency diffractive lens is centrosymmetric about the y-axis, only the lens boundary portion within the first quadrant in fig. 16 will be described. The boundary of the high-efficiency diffraction lens divides the whole space into an upper part and a lower part: the upper half part has refractive index n1I.e. said one high efficiency diffractive lens has a refractive index n1(ii) a The lower half has a refractive index n2The other dielectric of (2), i.e. the dielectric outside the one high efficiency diffractive lens, has a refractive index n2A TE polarized plane wave with a wavelength of lambda is incident on the boundary of the conventional diffraction lens along the-y-axis direction, and is focused on a point (0, -f) on the y-axis after being subjected to phase modulation of the boundary of the high-efficiency diffraction lens, whereinf denotes a predetermined focal length of the lens.
First, for the focusing position (0, -f) on the optical axis, if the phase difference between two adjacent Fresnel zones of the one type of high efficiency diffractive lens is 2 π, the position of the trip point of the mth Fresnel zone in the radial longitudinal section of the one type of high efficiency diffractive lensIt should satisfy:
the position of the trip point of the mth Fresnel zone in the radial longitudinal section of the high-efficiency diffraction lensComprises the following steps:
secondly, in order to generate the optimal interference superposition effect at the focusing position (0, -f), it is also necessary to ensure that all boundary points have the same phase within the same fresnel zone according to the fermat principle, i.e. the two rays in fig. 16 have equal optical paths, and this relationship can be expressed as:
the boundary height h of the radial longitudinal section of the high-efficiency diffraction lens in the mth Fresnel zone can be obtainedm(x) Comprises the following steps:
the boundary height h of the one type of high efficiency diffractive lens at the position of the mth fresnel zone with the abscissa of xm(r) satisfies:
wherein ,
the position of the trip point of the mth Fresnel zone of the high-efficiency diffraction lensComprises the following steps:
wherein ,
compared with the conventional diffraction lens, the high-efficiency diffraction lens provided by the embodiment 4 of the invention adopts an unequal height design method, ensures that the phase difference of adjacent Fresnel zones is 2 pi, can ensure that light modulated by the lens generates a strict interference superposition effect at an on-axis focal position, and has higher imaging quality and accuracy than the conventional diffraction lens.
Those of ordinary skill in the art will understand that: the above description is only a specific embodiment of the present invention, and is not intended to limit the present invention, and the cylindrical fresnel lens and the circular fresnel lens illustrated in the embodiments should not be considered as limiting the present invention, and any modification, equivalent replacement, improvement, application to or optimization improvement of diffractive lenses with different specifications and shapes, etc. made by adopting the unequal height design method provided by the present invention to make the phase difference between adjacent fresnel zones be 2 pi to obtain a new type of high efficiency diffractive lens, which is within the spirit and principle of the present invention, should be included in the protection scope of the present invention.

Claims (6)

1. A high-efficiency diffractive lens comprising a lens surface and a lens body, wherein the lens surface is composed of a plurality of Fresnel zones, the heights of the Fresnel zones decrease in order from the center to the edge, the widths of the Fresnel zones decrease in order from the center to the edge, and the jump phase difference between two adjacent Fresnel zones is 2 pi.
2. A high efficiency diffractive lens according to claim 1, whichCharacterized in that the high-efficiency diffraction lens is a cylindrical Fresnel lens, the lens surface of the high-efficiency diffraction lens is composed of a plurality of Fresnel zones which are bilaterally symmetrical, and the boundary height h of the position with the abscissa as x in the mth Fresnel zone of the high-efficiency diffraction lens ism(x) Satisfies the following conditions:
wherein ,n1Is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the one high efficiency diffractive lens, f is the predetermined focal length, and λ is the wavelength of the incident light.
3. A high efficiency diffractive lens according to claim 1 or 2 wherein the position of the trip point of the mth fresnel zone of said high efficiency diffractive lensSatisfies the following conditions:
wherein ,n1Is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the one high efficiency diffractive lens, f is the predetermined focal length, and λ is the wavelength of the incident light.
4. The high efficiency diffractive lens as claimed in claim 1, wherein said one high efficiency diffractive lens is a circular fresnel lens, the lens surface of said one high efficiency diffractive lens is comprised of a series of concentric circular fresnel zones, and the boundary height h of said one high efficiency diffractive lens is at the position of x abscissa in the mth fresnel zonem(r) satisfies:
wherein ,n1is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the one high efficiency diffractive lens, f is the predetermined focal length, and λ is the wavelength of the incident light.
5. A high efficiency diffractive lens according to claim 1 or 4 wherein the position of the trip point of the mth Fresnel zone of said high efficiency diffractive lensSatisfies the following conditions:
wherein , wherein ,n1is the refractive index of said one high efficiency diffractive lens, n2Is the refractive index of the dielectric material outside the one high efficiency diffractive lens, f is the predetermined focal length, and λ is the wavelength of the incident light.
6. The high efficiency diffractive lens according to claim 1 wherein said material of said high efficiency diffractive lens is photoresist.
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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CH564783A5 (en) * 1972-08-05 1975-07-31 Agfa Gevaert Ag
JPS61189504A (en) * 1985-02-19 1986-08-23 Matsushita Electric Ind Co Ltd Preparation of fresnel lens
US5132843A (en) * 1989-03-16 1992-07-21 Omron Corporation Grating lens and focusing grating coupler
US20070216851A1 (en) * 2006-03-01 2007-09-20 Citizen Watch Co., Ltd. Liquid crystal lens and imaging lens device
CN206757083U (en) * 2017-05-19 2017-12-15 首都师范大学 A kind of high efficiency diffraction lens

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CH564783A5 (en) * 1972-08-05 1975-07-31 Agfa Gevaert Ag
JPS61189504A (en) * 1985-02-19 1986-08-23 Matsushita Electric Ind Co Ltd Preparation of fresnel lens
US5132843A (en) * 1989-03-16 1992-07-21 Omron Corporation Grating lens and focusing grating coupler
US20070216851A1 (en) * 2006-03-01 2007-09-20 Citizen Watch Co., Ltd. Liquid crystal lens and imaging lens device
CN206757083U (en) * 2017-05-19 2017-12-15 首都师范大学 A kind of high efficiency diffraction lens

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