CN109212741A - A kind of continuous magnification lens and optical system - Google Patents
A kind of continuous magnification lens and optical system Download PDFInfo
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- G—PHYSICS
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Abstract
The invention discloses a kind of continuous magnification lens and optical systems, are related to micronano optical technical field.Continuous magnification lens include two pieces of phase-plates arranged side by side, its center longitudinal axis is the optical axis of continuous magnification lens, every piece of phase-plate includes the nano unit array of transparent substrates and arrangement on a transparent substrate, and the nano unit array of two pieces of phase-plates is opposite, for changing the position phase of incident circularly polarized light；The transfer function T of continuous magnification lens are as follows: T=T1·T2=exp [ia θ r2], focal length f are as follows:Wherein, T1And T2The transfer function of respectively two pieces phase-plates, a are constant coefficient, and λ is the wavelength of incident circularly polarized light, and θ is relative rotation angle of two pieces of phase-plates around the optical axis of continuous magnification lens ,-π≤θ≤π.The present invention only needs that at least one phase-plate is made to rotate on optical axis continuous vari-focus may be implemented to change the relative rotation angle of two pieces of phase-plates.
Description
Technical Field
The invention relates to the technical field of micro-nano optics, in particular to a continuous zoom lens and an optical system.
Background
Many optical instruments require that the magnification of their optical systems can be varied, so that both large fields of view at low magnification and small fields of view at high magnification can be observed with the same optical instrument. The method of changing the lens of the optical system or the multi-step zooming may cause the size of the imaged image to change abruptly, and only the optical system of the continuous zooming may be used in order to continuously change the size of the imaged image. Conventional optical systems typically use mechanical means such as cams, non-linear threads, etc. to change the relative position between the lens groups to achieve zooming. However, the optical system requires a precise mechanical structure to cooperate with each other to realize the movement of the lens group, which not only increases the design and manufacturing cost of the optical system, but also increases the volume and weight of the optical system, and the heavy lens group and the mechanical transmission device are easily damaged by external force, causing failure and long response time, which brings inconvenience to practical application.
Disclosure of Invention
In view of the defects in the prior art, an object of the present invention is to provide a continuous zoom lens and an optical system, which can achieve continuous zooming by only rotating at least one phase plate around the optical axis to change the relative rotation angle of the two phase plates.
The present invention provides a continuous zoom lens, comprising:
the central longitudinal axis of the two parallel phase plates is the optical axis of the continuous zoom lens, each phase plate comprises a transparent substrate and a nano unit array arranged on the transparent substrate, each nano unit array comprises a plurality of nano units, and the nano unit arrays of the two phase plates are opposite and are used for changing the phase of incident circularly polarized light;
the transfer function T of the continuous zoom lens is as follows: t ═ T1·T2＝exp[iaθr2]The focal length f is:wherein, T1And T2The transmission functions of the two phase plates are respectively shown, a is a constant coefficient, lambda is the wavelength of incident circularly polarized light, and theta is the relative rotation angle of the two phase plates around the optical axis of the continuous zoom lens, wherein-pi is not less than theta, and-pi is not less than pi.
On the basis of the technical scheme, the transmission functions T of the two phase plates1And T2Are mutually complex conjugate functions of the two components,wherein,establishing a polar coordinate system with the center of the phase plate as an origin for a phase function of each phase plate, r being a distance from the nano-unit to the center of the phase plate,the polar angle is the r position, and the centers of the two phase plates are both positioned on the optical axis of the continuous zoom lens;
when theta is 0, the structural parameters of the nanometer units on the two phase plates are the same, and the nanometer unit arrays are in mirror symmetry relative to a middle plane between the two phase plates.
On the basis of the technical scheme, the transparent substrate is divided into a plurality of unit structures, the working surface of each unit structure is a square with the side length of C, two right-angle sides of the square are respectively parallel to the x axis and the y axis of the continuous zoom lens, and the x axis, the y axis and the optical axis z of the continuous zoom lens form a three-dimensional coordinate system;
each working surface is provided with one nano unit, the nano units are dielectric nano bricks, the length L, the width W and the height H of each dielectric nano brick are sub-wavelength levels, the cross polarization transmittance of incident circularly polarized light is optimized by an electromagnetic simulation method according to the selected wavelength of the incident circularly polarized light, phi is the rotation angle of the long edge of each dielectric nano brick relative to the x axis,
on the basis of the technical proposal, the device comprises a shell,rmaxis the radius of the continuous zoom lens.
On the basis of the technical scheme, the clearance d between the two phase plates is as follows:LTalbotis the Talbot distance, and is the distance between the Talbot and the Taber,
on the basis of the technical scheme, when λ is 633nm, C is 300nm, L is 140nm, W is 70nm, and H is 350 nm.
On the basis of the technical scheme, the transparent substrate is fused quartz, and the nano unit is an amorphous film material.
On the basis of the technical scheme, the incident circularly polarized light is left-handed circularly polarized light or right-handed circularly polarized light.
On the basis of the above technical solution, when the handedness of the incident circularly polarized light is opposite, the sign of the focal length f of the continuous zoom lens is opposite.
The invention also provides an optical system comprising the continuous zoom lens.
Compared with the prior art, the embodiment of the invention uses the two parallel phase plates of the continuous zoom lens, the central longitudinal axis of the two parallel phase plates is the optical axis of the continuous zoom lens, each phase plate comprises a transparent substrate and a nano unit array arranged on the transparent substrate, and the nano unit arrays of the two phase plates are opposite and are used for changing the phase of incident circularly polarized light; the transfer function T of the continuous zoom lens is: t ═ T1·T2＝exp[iaθr2]The focal length f is:wherein, T1And T2The transmission functions of the two phase plates are respectively shown, a is a constant coefficient, lambda is the wavelength of incident circularly polarized light, and theta is the relative rotation angle of the two phase plates around the optical axis of the continuous zoom lens, wherein-phi is not less than theta and not more than phi. Continuous zooming can be realized only by rotating at least one phase plate around the optical axis to change the relative rotation angle of the two phase plates.
Drawings
FIG. 1 is a schematic diagram of a continuous zoom lens with left-handed circularly polarized light incident thereon according to an embodiment of the present invention;
FIG. 2 is a side view of a cell structure in an embodiment of the invention;
FIG. 3 is a top view of a cell structure in an embodiment of the invention;
FIG. 4 is a schematic illustration of polar coordinates and xoy coordinates of a zoom lens according to an embodiment of the invention;
FIG. 5 is a schematic view of a continuous zoom lens of an embodiment of the present invention at a relative rotation angle of-75 °;
FIG. 6 is a schematic view of a continuous zoom lens of an embodiment of the present invention at a relative rotation angle of-45 °;
FIG. 7 is a schematic view of a continuous zoom lens of an embodiment of the present invention at a relative rotation angle of-30 °;
FIG. 8 is a graph of electric field strength at a relative rotation angle of-75 ° for the continuous zoom lens according to the embodiment of the present invention;
FIG. 9 is a graph of an electric field strength at a relative rotation angle of-45 ° for the continuous zoom lens in an embodiment of the present invention;
FIG. 10 is a graph of an electric field strength at a relative rotation angle of-30 ° for the continuous zoom lens in an embodiment of the present invention;
fig. 11 is a schematic view of right-handed circularly polarized light incident on the continuous zoom lens of fig. 2.
Detailed Description
The invention is described in further detail below with reference to the figures and the embodiments.
The embodiment of the invention provides a continuous zoom lens which comprises two parallel phase plates, wherein the central longitudinal axis of the two phase plates is the optical axis of the continuous zoom lens, each phase plate comprises a transparent substrate and a nano unit array arranged on the transparent substrate, the nano unit array comprises a plurality of nano units, and the nano unit arrays of the two phase plates are opposite and used for changing the phase of incident circularly polarized light.
Each phase plate is based on a meta-surface material (metamaterials) having surface structures of dimensions lower than the wavelength of the incident light, which are formed on a (ideally flat) surface of the substrate, typically fabricated using lithographic and etching processes. The super surface regulates and controls the light field by changing the phase of light incident on the super surface, so that the lens is constructed by the super surface, and a new wave front can be constructed in the image space area of the lens through the phase regulation and control of the super surface.
More specifically, referring to fig. 1, each phase plate includes a transparent substrate and a plurality of nano-cells arranged on the transparent substrate, wherein the nano-cells are arranged and combined in rows and columns to form a nano-cell array, and the nano-cell arrays of the two phase plates are opposite to each other. Each phase plate has designed phase distribution, and new wave fronts can be constructed in the image space area of the lens through phase regulation and control of the super surface. Each phase plate is constructed as a circular metamaterial device, the two juxtaposed phase plates have the properties of a lens, and the central longitudinal axes of the two phase plates are the optical axes of the continuous zoom lens.
For convenience of illustration, in fig. 1, the two phase plates are divided into a phase plate 1 and a phase plate 2, the transparent substrate has a working surface and a bottom surface, and the nano-cell array is etched on the working surface. The incident circularly polarized light enters from the bottom surface of the transparent substrate of the phase plate 1, is transmitted through the nano-cell array, then enters the nano-cell array of the phase plate 2, and exits from the bottom surface of the transparent substrate. For example, when the normal circularly polarized light is a plane wave, the phase plate 1 and the phase plate 2 change the phase of the incident circularly polarized light, and when the focal length is positive, the incident light is converged on the focal plane of the continuous zoom lens.
The transfer function T of the continuous zoom lens is:
T＝T1·T2＝exp[iaθr2](1)，
the focal length f is:
wherein, T1And T2The transmission functions of the two phase plates are respectively shown, a is a constant coefficient, lambda is the wavelength of incident circularly polarized light, and theta is the relative rotation angle of the two phase plates around the optical axis of the continuous zoom lens, wherein-phi is not less than theta and not more than phi.
In fig. 1, the relative rotation angle θ of the two phase plates can be achieved by fixing the phase plate 1 and rotating the phase plate 2. In other embodiments, this can also be achieved by fixing the phase plate 2 and rotating the phase plate 1; alternatively, the two phase plates may be rotated simultaneously, without limitation.
The transfer function indicates the relationship between incident light and transmitted light of the lens, in other words, in the present embodiment, the transfer function represents the operation of the continuous zoom lens on incident circularly polarized light. The incident circularly polarized light is left-handed circularly polarized light or right-handed circularly polarized light. For example, for a lens with a focal length f, the transfer function can be written as:
where r is the distance to the center of the lens.
From equations (1) and (3), equation (2) can be derived, i.e. the focal length of an ideal lens is:
the continuous zooming lens is based on the super surface, and the continuous zooming function can be realized only by relative rotation of the two phase plates. The precise mechanical structure matching is not needed, the faults caused by external force damage are avoided, the response time is long, and the practical application is convenient.
Preferably, each phase plate, namely an optimally designed super surface, can be equivalent to an efficient half-wave plate, and the super surface material can enable outgoing light to be circularly polarized light but the rotating directions of the outgoing light are opposite after incident circularly polarized light passes through the super surface material, and phase delay is generated.
Referring to fig. 2 and 3, on each phase plate, the transparent substrate is divided into a plurality of unit structures, the working surface of each unit structure is a square with a side length C, two right-angle sides of the square are respectively parallel to the x axis and the y axis of the continuous zoom lens, and the x axis, the y axis and the optical axis z of the continuous zoom lens form a three-dimensional coordinate system.
Each working surface is provided with a nano unit which is a dielectric nano brick, the length L, the width W and the height H of the dielectric nano brick are sub-wavelength levels, the cross polarization transmittance of incident circularly polarized light is optimized according to an electromagnetic simulation algorithm, the cross polarization transmittance is the highest, and phi is the rotation angle of the long edge of the dielectric nano brick relative to the x axis.
Taking the wavelength λ of incident circularly polarized light as an example of 633nm, electromagnetic simulation is adopted, and the structural parameters of each phase plate are optimally calculated under the working wavelength λ of 633 nm. For example, using an electromagnetic simulation software platform, such as using the electromagnetic simulation software Comsol modeling simulation, the left-handed circularly polarized light or the right-handed circularly polarized light is perpendicularly incident on the dielectric nano-brick at an operating wavelength λ of 633nm, and the structural parameters of the dielectric nano-brick, including L, W, H and C, are scanned to obtain optimized structural parameters, for example, when λ of 633nm, C of 300nm, L of 140nm, W of 70nm, and H of 350 nm.
Preferably, the dielectric nanoblock of the super-surface material of the present embodiment is an amorphous thin film material (e.g., amorphous silicon material) deposited on the surface of the fused silica (silicon dioxide material) substrate. The size of the dielectric nano brick is in a sub-wavelength level, each unit structure comprises a transparent substrate 1 and a dielectric nano brick 2, wherein the transparent substrate is made of fused quartz, namely a silicon dioxide material, and the amorphous silicon material is adopted; l is the major axis dimension of the dielectric nano brick, W is the minor axis dimension of the nano brick, H is the height of the nano brick, C is the unit structure size of the dielectric nano brick, and phi is the corner of the dielectric nano brick. In addition, the dielectric nano bricks form a dielectric nano brick array, and the size and the center distance of each dielectric nano brick in the dielectric nano brick array are the same.
Calculated by using the Jones matrix, the Jones vectors of the incident left/right circularly polarized light are respectivelyThe jones matrix for a known half-wave plate is:
wherein, phi is the corner of the dielectric nano brick, defined as the included angle between the long axis (long side direction of the nano brick) of the dielectric nano brick and the x-axis direction, and the vector of the emergent light passing through the dielectric nano brick is:
it can be seen from equation (4) that the outgoing light has a backspin opposite to the incoming light through the dielectric nanoblock, but also experiences a phase delay of 2 phi. Therefore, the phase of emergent light can be adjusted by adjusting the size of the rotation angle phi of the dielectric nano brick.
The amount of phase retardation produced based on the dielectric nanoblock unit is equal to twice the corner of the dielectric nanoblock, i.e.Wherein,is the phase of the outgoing light. According to the phase required by the application of the metamaterialThe rotation angle phi of each dielectric nanobead in each phase plate can be determined. The dielectric nanobelts and nanobelts have the same meaning, and the dielectric nanobelt array and nanobelt array have the same meaning.
Obtaining the structural parameters (comprising L, W, H and C) of the dielectric nano-bricks on the two phase plates by using an electromagnetic simulation method according to the selected wavelength of the incident circularly polarized light, wherein the rotation angle phi of the dielectric nano-bricks is according to the phase function of each phase plateAnd the transfer function T of the continuous zoom lens.
The continuous zoom lens of the present embodiment is composed of a phase plate 1 and a phase plate 2, and is suitable for circularly polarized light incidence. The phase plate 1 and the phase plate 2 are super surfaces of nano brick arrays etched on a transparent substrate, and the rotation angles of the nano bricks are determined according to the design principle of the continuous zoom lens. Two phase plates with designed phase distribution are connected in series to realize the function of a complete lens, and the two phase plates rotate relatively to realize the continuous change of focal length.
Different from the traditional zoom lens, the invention adopts the super surface material of the nano brick array etched on the surface of the transparent substrate, the material is manufactured by adopting the microelectronic photoetching process, and the design, the processing and the batch production of the continuous zoom optical system are simpler and more feasible by reasonably designing the nano brick array and the zoom algorithm due to the principle of modulating the phase of incident light by the nano brick array, thereby reducing the design and the manufacturing cost.
In addition, the size of the nano bricks is in the sub-wavelength level, so that the continuous zoom lens constructed by the nano brick array has small volume, light weight and high integration, and is more beneficial to the development trend of miniaturization of an optical system.
Referring to fig. 4, a polar coordinate system is established with the centers of the phase plates as the origin, the centers of the two phase plates are both located on the optical axis of the continuous zoom lens, and polar coordinates r and r are introducedWherein r is the polar diameter, i.e. the distance from the nanometer unit to the center of the phase plate,the polar angle at the r position. Preferably, the transfer function T of the two phase plates1And T2Are complex conjugate functions of each other:
wherein,as a function of the phase of each phase plate, r is the distance of the nano-elements from the central longitudinal axis,the phase of the transmitted light of the nano-unit.
When theta is equal to 0, the structural parameters of the nano unit arrays on the two phase plates are the same, and the nano unit arrays are in mirror symmetry relative to a middle plane between the two phase plates. The mid-plane is located at 1/2 of the gap between the two arrays of nano-elements of the phase plate.
For a spherical centrosymmetric lens, only the phase function is consideredBy r andis formed by independent functions, i.e.And is
In addition, according to the formula (1): phir(r)＝ar2(8)，
Thus, according toAndequation (7) is obtained. Then, substituting the formula (7) into the formulas (5) and (6) to obtain:
when the phase plate 2 is rotated by an angle θ relative to the phase plate 1, the total transfer function of the two phase plates in series is:
i.e. the transfer function T of the continuous zoom lens of equation (1) is obtained:
T＝T1·T2＝exp]iaθr2](1)。
preferably, when the nano-elements are dielectric nano-bricks, the structural parameters (including L, W, H and C) of the dielectric nano-brick arrays on the two phase plates are the same, and when θ is 0, the projections of the nano-element arrays on the two phase plates are completely overlapped from the incident direction to the emergent direction of the incident circularly polarized light or from the emergent direction to the incident direction.
For further optimization and simulation, a certain condition limitation needs to be performed on the optional constant a and the gap d between the two phase plates, which is described in detail below:
in order to improve the resolution, the phase transition between two adjacent nano-bricks on each phase plate needs to be less than pi, namely:
will be provided withCombining equation (7) yields:
wherein r ismaxC is the size of the unit structure,is the maximum polar angle, becauseIn the range of (-pi, pi), then
Namely, the limiting range of the constant coefficient a is:
furthermore, in order to ensure that the incident light is diffracted from one nanoblock unit of the phase plate 1 and reaches the mirror-image corresponding nanoblock unit on the phase plate 2, the gap d between the two phase plates needs to be at least two times smaller than the talbot distance, i.e.:
the clearance d between the two phase plates is as follows:
wherein L isTalbotIs the Talbot distance, and is the distance between the Talbot and the Taber,
the following is specifically illustrated by way of example:
designing and simulating a lens with a nano-brick array of 51 × 51, wherein 51 × 51 is the number of nano-bricks in the nano-brick array, and calculating a constant coefficient a and a selected value range of a gap d between two phase plates according to optimized structural parameters of the nano-bricks (for example, when λ is 633nm, C is 300nm, L is 140nm, W is 70nm, and H is 350nm) according to equations (12) and (13):
a＜0.11μm-2，d≤142nm
selecting a as 0.1 mu m-2And d is 140nm, establishing a model according to the optimized nano brick structure parameters, and carrying out verification simulation in an electromagnetic simulation platform FDTD Solution.
In this example, the three cases of-75 °, -45 °, and-30 ° of relative rotation angle of the two phase plates are respectively verified by simulation, and the corresponding focal lengths are 37.91 μm, 63.19 μm, and 94.79 μm, respectively, and the focusing effect is schematically shown in fig. 5 to 7, respectively.
The relative rotation angle theta of the two phase plates can be realized by fixing the phase plate 1 and rotating the phase plate 2, and when the phase plate 2 rotates clockwise relative to the phase plate 1, the theta is less than 0.
Models of the three conditions are built and simulated in the FDTD Solution, the electric field intensity diagram is observed, and the electromagnetic simulation effects are respectively shown in figures 8 to 10. In fig. 8 to 10, each of graphs (a) is a graph of the electric field intensity of a cross section along the light traveling direction, and each of graphs (b) is a graph of the electric field intensity of a cross section (focal plane) at the focal point, and it can be observed that the simulation result substantially coincides with the theoretical value calculated in the foregoing formula (2).
In other embodiments, when the handedness of the incident circularly polarized light is opposite, the focal length f of the continuous zoom lens is opposite in sign.
Specifically, the signs of the phase delays experienced by circularly polarized light of different polarization states are exactly opposite. In the above embodiment, the incident circularly polarized light is left circularly polarized light (for example, as shown in fig. 2), and therefore, when the continuous zoom lens composed of the super-surface microstructure arrays of the two phase plates is incident with right circularly polarized light, as shown in fig. 11, under the premise of not changing the lens, the sign of the focal length f of the continuous zoom lens is opposite, and in addition, in combination with the relative rotation of the phase plates, the continuous zoom function can be obtained.
Another embodiment of the present invention also provides an optical system including the above-described continuous zoom lens.
The present invention is not limited to the above-described embodiments, and it will be apparent to those skilled in the art that various modifications and improvements can be made without departing from the principle of the present invention, and such modifications and improvements are also considered to be within the scope of the present invention. Those not described in detail in this specification are within the skill of the art.
Claims (10)
1. A continuous zoom lens, comprising:
the central longitudinal axis of the two parallel phase plates is the optical axis of the continuous zoom lens, each phase plate comprises a transparent substrate and a nano unit array arranged on the transparent substrate, each nano unit array comprises a plurality of nano units, and the nano unit arrays of the two phase plates are opposite and are used for changing the phase of incident circularly polarized light;
the transfer function T of the continuous zoom lens is as follows: t ═ T1·T2＝exp[iaθr2]Focal length f is：Wherein, T1And T2The transmission functions of the two phase plates are respectively shown, a is a constant coefficient, lambda is the wavelength of incident circularly polarized light, and theta is the relative rotation angle of the two phase plates around the optical axis of the continuous zoom lens, wherein-pi is not less than theta, and-pi is not less than pi.
2. A continuous zoom lens as recited in claim 1, wherein:
transfer function T of two said phase plates1And T2Are mutually complex conjugate functions of the two components,
wherein,establishing a polar coordinate system by taking the center of the phase plate as an origin for a phase function of each phase plate, wherein r is the distance from the nano unit to the center of the phase plate,the polar angle is the r position, and the centers of the two phase plates are both positioned on the optical axis of the continuous zoom lens;
when theta is 0, the structural parameters of the nanometer units on the two phase plates are the same, and the nanometer unit arrays are in mirror symmetry relative to a middle plane between the two phase plates.
3. A continuous zoom lens as recited in claim 2, wherein: the transparent substrate is divided into a plurality of unit structures, the working surface of each unit structure is a square with the side length of C, two right-angle sides of the square are respectively parallel to the x axis and the y axis of the continuous zoom lens, and the x axis, the y axis and the optical axis z of the continuous zoom lens form a three-dimensional coordinate system;
each working surface is provided with one nano unit, the nano units are dielectric nano bricks, the length L, the width W and the height H of each dielectric nano brick are sub-wavelength levels, the cross polarization transmittance of incident circularly polarized light is optimized by an electromagnetic simulation method according to the selected wavelength of the incident circularly polarized light, phi is the rotation angle of the long edge of each dielectric nano brick relative to the x axis,
4. a continuous zoom lens as recited in claim 3, wherein:rmaxis the radius of the continuous zoom lens.
5. A continuous zoom lens as recited in claim 3, wherein: the clearance d between the two phase plates is as follows:LTalbotis the Talbot distance, and is the distance between the Talbot and the Taber,
6. a continuous zoom lens as recited in claim 3, wherein: when λ is 633nm, C is 300nm, L is 140nm, W is 70nm, and H is 350 nm.
7. A continuous zoom lens as recited in claim 1, wherein: the transparent substrate is fused quartz, and the nano unit is an amorphous film material.
8. A continuous zoom lens as recited in claim 1, wherein: the incident circularly polarized light is left-handed circularly polarized light or right-handed circularly polarized light.
9. A continuous zoom lens as recited in claim 8, wherein: when the handedness of the incident circularly polarized light is opposite, the focal length f of the continuous zoom lens is opposite in sign.
10. An optical system, characterized by: comprising a continuous zoom lens as claimed in any of claims 1 to 9.
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109799611A (en) * | 2019-01-29 | 2019-05-24 | 中山大学 | A kind of design method and its super structure lens of achromatism of the super structure lens of achromatism |
| CN111272066A (en) * | 2020-02-24 | 2020-06-12 | 南京大学 | Dual-mode optical microscopic imaging device based on incident light polarization control |
| CN111338156A (en) * | 2020-04-07 | 2020-06-26 | 国家纳米科学中心 | Device for realizing zoom of super lens based on polarization state regulation and control, zoom method and application |
| CN112147721A (en) * | 2020-09-11 | 2020-12-29 | 武汉大学 | Polarization order adjustable and continuously zooming cylindrical vector beam lens and construction method |
| CN112255711A (en) * | 2020-10-26 | 2021-01-22 | 武汉邮电科学研究院有限公司 | Continuous zoom lens for generating cylindrical vector light beam and design method thereof |
| CN113189783A (en) * | 2021-04-14 | 2021-07-30 | 深圳市麓邦技术有限公司 | Optical system and liquid crystal moire lens |
| CN114815009A (en) * | 2022-05-10 | 2022-07-29 | 南京理工大学 | Method for regulating and controlling focal length range of zoom super lens by introducing additional phase |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5136413A (en) * | 1990-11-05 | 1992-08-04 | Litel Instruments | Imaging and illumination system with aspherization and aberration correction by phase steps |
| CN1177799A (en) * | 1996-09-23 | 1998-04-01 | 德国汤姆逊-布朗特公司 | Recording on light recording medium, recording from reproducing same, and reprodcuing device thereof |
| CN105549130A (en) * | 2015-12-29 | 2016-05-04 | 武汉大学 | Dual zooming lens based on polarization state control |
| CN107894647A (en) * | 2016-10-04 | 2018-04-10 | 三星电子株式会社 | Zoom lens and image acquiring device |
-
2018
- 2018-10-31 CN CN201811289764.1A patent/CN109212741B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5136413A (en) * | 1990-11-05 | 1992-08-04 | Litel Instruments | Imaging and illumination system with aspherization and aberration correction by phase steps |
| CN1177799A (en) * | 1996-09-23 | 1998-04-01 | 德国汤姆逊-布朗特公司 | Recording on light recording medium, recording from reproducing same, and reprodcuing device thereof |
| CN105549130A (en) * | 2015-12-29 | 2016-05-04 | 武汉大学 | Dual zooming lens based on polarization state control |
| CN107894647A (en) * | 2016-10-04 | 2018-04-10 | 三星电子株式会社 | Zoom lens and image acquiring device |
Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109799611A (en) * | 2019-01-29 | 2019-05-24 | 中山大学 | A kind of design method and its super structure lens of achromatism of the super structure lens of achromatism |
| CN111272066A (en) * | 2020-02-24 | 2020-06-12 | 南京大学 | Dual-mode optical microscopic imaging device based on incident light polarization control |
| CN111338156A (en) * | 2020-04-07 | 2020-06-26 | 国家纳米科学中心 | Device for realizing zoom of super lens based on polarization state regulation and control, zoom method and application |
| CN111338156B (en) * | 2020-04-07 | 2022-02-18 | 国家纳米科学中心 | Device for realizing zoom of super lens based on polarization state regulation and control, zoom method and application |
| CN112147721A (en) * | 2020-09-11 | 2020-12-29 | 武汉大学 | Polarization order adjustable and continuously zooming cylindrical vector beam lens and construction method |
| CN112147721B (en) * | 2020-09-11 | 2021-06-04 | 武汉大学 | Polarization order adjustable and continuously zooming cylindrical vector beam lens and construction method |
| CN112255711A (en) * | 2020-10-26 | 2021-01-22 | 武汉邮电科学研究院有限公司 | Continuous zoom lens for generating cylindrical vector light beam and design method thereof |
| CN113189783A (en) * | 2021-04-14 | 2021-07-30 | 深圳市麓邦技术有限公司 | Optical system and liquid crystal moire lens |
| CN114815009A (en) * | 2022-05-10 | 2022-07-29 | 南京理工大学 | Method for regulating and controlling focal length range of zoom super lens by introducing additional phase |
| CN114815009B (en) * | 2022-05-10 | 2024-06-07 | 南京理工大学 | Method for regulating focal length range of zoom superlens by introducing additional phase |
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