CN115480412A - Method for preparing vector light beam at any position on Poincare sphere - Google Patents
Method for preparing vector light beam at any position on Poincare sphere Download PDFInfo
- Publication number
- CN115480412A CN115480412A CN202211221132.8A CN202211221132A CN115480412A CN 115480412 A CN115480412 A CN 115480412A CN 202211221132 A CN202211221132 A CN 202211221132A CN 115480412 A CN115480412 A CN 115480412A
- Authority
- CN
- China
- Prior art keywords
- poincare sphere
- vector
- phase
- light
- polarization
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Images
Classifications
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/28—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
- G02B27/286—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising for controlling or changing the state of polarisation, e.g. transforming one polarisation state into another
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/09—Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
- G02B27/0938—Using specific optical elements
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/28—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
- G02B27/283—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising used for beam splitting or combining
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/30—Polarising elements
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
- Holo Graphy (AREA)
Abstract
The invention relates to a method for preparing vector beams at any position on a Poincare sphere. Based on the orthogonal polarization superposition principle, the modulation of the polarization state of the vector light beam is deduced by utilizing a Stokes polynomial and a Poincare sphere theory, and a method for preparing the vector light beam at any position on the Poincare sphere is provided. Different from the existing traditional method for preparing vector beams and vector vortex optical rotation on the equator of the Poincare sphere, the method calculates and deduces a new method for regulating and controlling the polarization state of the vector beams on the Poincare sphere through the conversion relation between a Stokes polynomial and the change of longitude and latitude on the Poincare sphere, the change of the phase of a hologram of a spatial light modulator and the modulation of a half-wave plate and a polarization beam splitter prism on the intensity ratio of horizontal and vertical polarized beams. Compared with the traditional method, the method has a good effect on the arbitrary regulation and control of the polarization state of the vector beam, belongs to the field of light field modulation, and can be applied to the design of optical polarization elements.
Description
Technical Field
The invention relates to a method for preparing vector light beams at any position on a Poincare sphere, which is different from the existing traditional method for preparing the vector light beams and the vector vortex optical rotation on the equator of the Poincare sphere mainly, and aims to realize the random modulation of the polarization state distribution of the vector light beams and the vector vortex light.
Technical Field
The phenomenon of swirling in the optical field was originally discovered by Boivin, dow and Wolf in 1967 near the focal plane of the lens stack. In 1973, bryngdahl first conducted an exploration of experimental methods for preparing vortex light. In 1979 Vaughan and Willets successfully produced vortex rotation using a continuous laser. Yu, bazgenov V in 1990 completed the preparation of vortex rotation for the first time using the grating method. In 1992, L.Allen found a carrier phase factor under paraxial conditions
Has orbital angular momentum, wherein l is the topological charge number of the orbital angular momentum of the vortex light,
is the azimuth; each photon carries
The orbital angular momentum of (a) is,
to approximate the planck constant, the angular phase factor indicates that in the process of propagating eddy optical rotation, if a light beam propagates for a period, the wave front rotates around the optical axis exactly once, and the phase changes by 2 pi l correspondingly.
The vortex rotation is used as a novel structural light beam with a spiral wave front, and has important application value in the fields of optical communication, particle micro-control, motion detection, optical micro-measurement and the like. The Laguerre-Gaussian light is a typical vortex light, photons in the light beam not only have Spin Angular Momentum (SAM) but also have Orbital Angular Momentum (OAM), and the size of the OAM is determined by the topological charge number. A complete singlet laguerre-gaussian beam has a circular intensity distribution and a hollow dark core, and the region where the beam center intensity is zero is defined as the phase singularity. The vortex light beams can be divided into two types according to the type of the phase singularity, one type is that the deflection directions of the light field are the same, and the phase of the singularity is uncertain, and the type is called phase vortex rotation; the other is the uncertainty of the polarization direction of the singularity, called vector vortex rotation.
Since the polarization state of the vector light beam is not uniform, it is important to describe the polarization state of the vector light beam accurately. The current description methods of the polarization state of the vector light beam are mainly divided into three methods, and the Jones matrix method can directly calculate the superposition of the polarization light beam so as to deduce the change of the polarization device to the polarization light beam characteristic; the Stokes vector method forms a four-dimensional mathematical vector expression through four Stokes coefficients, realizes the description of the light beam intensity and the polarization state, and can describe more light beam types compared with the Jones matrix method; the poincare sphere is a graphic representation of any polarization state of a light field, a general elliptical polarization state can be determined by only two azimuth angles, and the longitude and latitude on a sphere can be used to represent the azimuth angles, so that a set of points on a sphere can represent all possible polarization states, including the conventional poincare sphere, the higher-order poincare sphere and the mixed-order poincare sphere.
The preparation of vortex rotation is the basis for the development of vortex light studies. Under laboratory conditions, the spatial light modulator method is a commonly used fabrication method. The spatial light modulator controls the electric field to cause the change of a spatial phase or amplitude image of the liquid crystal display, thereby writing certain information into the light wave and realizing the modulation of the light wave. A holographic pattern of vortex rotation is prepared by a complex amplitude regulation and control technology and loaded to a spatial light modulator, and the spatial light modulator is irradiated by a beam of linearly polarized Gaussian light, so that emergent light is a vortex light beam.
At present, vector beam and vector vortex beam preparation methods can be divided into direct methods and indirect methods. The direct method mainly realizes the generation of vector beams and vector vortex beams by placing specific elements such as anisotropic crystals, super surfaces, Q plates, vortex half-wave plates and the like. The indirect method is mainly based on a Spatial Light Modulator (SLM) to build an interference light path, so that two circularly polarized vortex light beams with opposite polarization states are superposed. The main methods are Rochi grating, wollaston prism, taemann Green interferometer, sagnac interferometer, mach-Zehnder like interferometer, etc.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: different from the existing traditional method for preparing vector beams and vector vortex optical rotation on the equator of the Poincare sphere, the method calculates and deduces a new method for regulating and controlling the polarization state of the vector beams on the Poincare sphere through the conversion relation between a Stokes polynomial and the change of longitude and latitude on the Poincare sphere, the change of the phase of a hologram of a spatial light modulator and the modulation of a half-wave plate and a polarization beam splitter prism on the intensity ratio of horizontal and vertical polarized beams. Compared with the traditional method, the method has a good effect on the aspect of arbitrary regulation and control of the polarization state of the vector beam.
The technical solution of the invention is as follows:
the invention relates to a method for preparing vector beams at any position on a Poincare sphere, which mainly comprises the following steps:
(1) Based on stokes polynomials
And
wherein
The relative phase difference of the left and right circular polarization components is shown, and the additional phase added by the phase-only hologram on the spatial light modulator is also characterized, so that the longitude 2 theta on the Poincare sphere is shown as 2 theta = arctan (S) 2 /S 1 ) = phi, the variation of the vector beam over the poincare sphere longitude can be achieved by adjusting the extra phase of the phase-only hologram.
(2) Setting the light beam modulated by the pure phase spatial light modulator to be horizontally polarized and the initial polarization angle to be theta 0 =0 °, assuming the polarization angle of the beam after passing through the half-wave plate is
θ HWP Is an included angle between the half-wave plate and the fast axis; the reconstructed light field intensity passing through the phase-only spatial light modulator is subjected to horizontal and vertical decomposition, and the latitude 2 sigma of the Poincare sphere can be represented by a Stokes polynomial to be 2 sigma = arcsin (S) 3 /S 0 ) Derived to obtain
The change of the vector beam on the Poincare latitude can be realized by adjusting the polarization angle of the beam, namely the angle of the half-wave plate.
The principle of the invention is as follows:
in general, the vector vortex light on the poincare sphere can be regarded as the superposition of two polarization components with different or same orbital angular momentum and opposite spin angular momentum relative to a standard orthogonal circular polarization base factor, and through a jones matrix, expressions of left-handed and right-handed circularly polarized light with topological charge numbers of m and l respectively are obtained, and the vector light beam can be expressed by the following formula:
wherein, the first and the second end of the pipe are connected with each other,
and
respectively representing functions comprising amplitude and initial phase under complex amplitude modulation,
representing orthogonal circular polarization basis, of formula (1)
And
which may be a laguerre-gaussian beam or a bessel-gaussian beam. Wherein the stokes parameters under a mixed poincare sphere are defined as:
wherein
Expressing the relative phase difference of the left and right circularly polarized components in formula (1), wherein S 0 The total intensity of the vector vortex rotation, S 1 ,S 2 ,S 3 The coordinate axes of the poincare sphere are jointly formed, when m = -l, the parameters in equation (2) correspond to a high-order poincare sphere, when | m | ≠ | l |, the parameters in equation (2) correspond to a mixed-order poincare sphere, and the longitude and latitude (2 θ,2 σ) on the poincare sphere can be expressed as follows:
2θ＝arctan(S 2 /S 1 )＝φ (4)
2σ＝arcsin(S 3 /S 0 ). (5)
by the formulas (4) and (5), the polarization state distribution of vector vortex rotation at any point on the sphere can be expressed. A vector vortex beam with an arbitrary polarization state can be represented as a point on the surface of the poincare sphere, denoted by the polarization order p. Meanwhile, since scalar phase cannot explain the phase delay between vector vortex beams with different polarization distributions, a new phase concept called Pancharatnam topological charge l is introduced p . It describes the change in phase delay introduced by a scalar vortex beam after transmission. Topological charge l of polarization order p and Pancharatnam p Can be expressed as:
because the diffraction efficiency of the spatial light modulator cannot reach 100%, a blazed grating is usually required to be introduced to separate modulated light from unmodulated light in order, when a vector vortex light beam is prepared, two vortex optical rotation holograms with different topological charge numbers are required to be superposed, and two vortex optical holograms with the topological charge numbers of l and m respectively are superposed on one hologram by designing a grating constant, so that the formula expression is as follows:
wherein J n [f(a)]Representing n with respect to the function f (a) th Bessel component, (k) x ,k y ) Respectively representing the grating constants, a, of the edge components (x, y) on the screen of the spatial light modulator l ,a m Respectively representing the amplitudes of two eddy optical rotations, phi l ,φ m Represents the phase of the two eddy optical rotations, (k) lx ,k ly ),(k mx ,k my ) The grating constants of two beams of eddy optical rotation with topological charge numbers of l and m are represented respectively. Obtaining a left circle and a right circle according to a formula (3)The polarization components have phase differences, and by changing the extra phase phi added by one beam of vortex light on the hologram through the equivalent relation of the formula (5), the vector vortex optical rotation can be changed on any longitude of the Poincare sphere.
The phase-only spatial light modulator can only modulate a horizontally polarized light beam, so we set the polarization direction angle of the light beam as theta 0 =0 °. Assuming that the intensities of two beams of modulated light reconstructed by modulation based on blazed grating are I respectively 1 And I 2 . Light field I 1 And I 2 Passes through a half-wave plate (HWP). Assume a beam polarization angle after HWP is
(in the formula,. Theta. HWP E [0, π/2)), the polarization state of the beam is expressed as linear [ cos2 θ ] HWP ,sin2θ HWP ] T 。
Let us assume that the total intensity of the light beam modulated by the spatial light modulator is I. The horizontal polarized light component and the vertical polarized light component after passing through the HWP are respectively
And
two beams of light with orthogonal linear polarization states are superimposed. After passing through a Quarter Wave Plate (QWP) with an included angle of 45 degrees with the fast axis, the optical field I 1 And I 2 The linearly polarized light of (a) is converted into orthogonal left-handed and right-handed circularly polarized light. The polarization state of the beam at any position on the high order poincare sphere and the mixed order poincare sphere can be obtained:
the intensity of left-handed and right-handed circularly polarized light can be expressed as:
from equations (2), (5) and (10), it can be derived:
we have found that the latitude 2 σ of the vector vortex beam on the mixed-order Poincare sphere is only determined by the angle of polarization of the beam passing through the HWP
And (6) determining. Theta HWP The angle of (d) can be derived as:
the longitude and latitude (2 theta, 2 sigma) of the mixed-order Poincare sphere can be obtained respectively with the additional phase phi of the loaded hologram on the spatial light modulator and the angle theta of the half-wave plate and the fast axis HWP There is an association. The vector light beam and the vector vortex light beam can be prepared at any position on the Poincare sphere.
Compared with the prior art, the scheme of the invention has the main advantages that:
(1) The existing preparation method can only generally generate linear polarization vector light beams and vector vortex light beams on the equator of the Poincare sphere, the scheme can realize the preparation of the vector light beams at any longitude and latitude position on the Poincare sphere by simply adjusting the extra phase of the hologram of the pure-phase spatial light modulator and the included angle between the half-wave plate and the fast axis, and the light path is more stable;
(2) The cost is reduced, the space is saved, and the preparation of the vector vortex optical rotation can be realized by introducing the Mach-Zehnder interferometer based on the preparation optical path of the common vortex optical rotation by using the method.
(3) The flexibility is strong, the phase position of the hologram can be flexibly adjusted according to the requirement, and the vector vortex light beam preparation of different polarization orders and Pancharatnam topological charge numbers can be realized. By passing
Two beams of scalar vortex optical rotation phase information are multiplexed and superposed together, parameters of a blazed grating are adjusted, the scalar vortex light beams with multiple diffraction angles and different topological loads are prepared, and then the vector light beams and the vector vortex light beams are prepared through an interference loop.
FIG. 1 is a flow chart of an application of vector beams generated at any position on a Poincare sphere;
FIG. 2 is a diagram of an experimental setup for preparing vector beams;
fig. 3 is a schematic diagram of hologram preparation principle and additional phase modulation under topological charge number l = 5;
FIG. 4 is a graph of vector beam intensity for topological charge numbers l =2,m = -2 at different locations on a Poincare sphere;
FIG. 5 is a graph of vector vortex beam intensity at different positions on the Poincare sphere with topological charge number l =2,m = 0;
detailed description of the preferred embodiments
The invention takes the regulation and control principle of the beam polarization angle based on the spatial light modulator loading multiplexing hologram and the half-wave plate as an experimental object, and the implementation object is the spatial light modulator, and the specific implementation steps are as follows:
spatial light modulators, half-wave plates and quarter-wave plates are used to generate arbitrary vector beams and vector vortex beams. First, the laser emits a collimated gaussian beam with a wavelength of 632.8nm after being collimated using a telescope consisting of a spatial filter system and a lens (L1). Since the polarization state of the gaussian beam is random, the polarization state of the gaussian beam is converted into horizontal polarization by a glan prism (GLP), and the spatial light modulator accurately modulates the incident light by loading two vortex light complex amplitude modulation holograms whose phases are superimposed together. The diffracted light beams are transformed through the lens L2, and the diaphragm SF collects two reconstructed light fields with first diffraction order respectively so as to avoid other stray light. Based on a Mach-Zehnder interferometer, two reconstructed vortex optical rotations are designed to pass through the same half-wave plate. One beam of light is refracted by the reflecting mirror and then combined with the other beam of light by the polarization beam splitter prism. By changing the polarization angle of the linearly polarized vortex light beam, the ratio of the power of the horizontal linearly polarized vortex light beam to the power of the vertical linearly polarized vortex light beam can be adjusted. Then, linearly polarized light having horizontal and vertical polarization states is converted into left-handed and right-handed circularly polarized light by the quarter wave plate. And finally, acquiring the vector light beam image and the vector vortex light beam image by using a CCD camera. The stokes parameters characterizing the vector beam are measured by the polarizer. The polarization states of the vector light beams and the vector vortex light beams prepared based on the method can be distributed on the whole spherical surface of the high-order Poincare sphere and the mixed-order Poincare sphere, as shown in FIG. 2.
Two vortex beam holograms with different topological charge numbers and blazed grating constants are required to be multiplexed and superposed, as shown in fig. 3, fig. 3 (a) and (b) represent vortex phase holograms with topological charge numbers of 5 and-4 respectively in a non-multiplexing state, and fig. 3 (c) represents a hologram obtained by multiplexing and superposing two holograms, so that the preparation of two vortex beams with different phase distributions at the same time can be realized; fig. 3 (d), (e), (f) and (g) represent the phase changes of the vortex light with a topological charge number of 5 when the longitude changes on the poincare sphere, respectively, which take phi =0, pi/2, pi, 3 pi/2.
By adjusting the topological charge number set value and the extra phase change value of the two vortex light beams on the multiplexed hologram in fig. 3, based on the above-mentioned principle regarding the control of the latitude position of the poincare sphere, firstly, the preparation of the l =2,m = -2 vector light beam is realized on the equator of the poincare sphere, as shown in fig. 4; secondly, the half-wave plates are respectively set to be 33.75 degrees, 22.5 degrees and 11.25 degrees, which correspond to the poincare sphere from north to south
(0, 0), (pi, 0) and
four special points, vector vortex beams with a topological charge number of l =2,m =0 for north and south poles were prepared as shown in fig. 5. The intensity distribution of the prepared vector light beam and vector vortex light is relatively uniform, and the quality is good.
Through derivation of an algorithm, the algorithm can be used for preparing vector light beams and vector vortex light beams at any positions on a Poincare sphere, for example, the vector light beams with the topological charge numbers of l =2,m = -2 and the vector vortex light beams with l =2,m = -0 at special point positions on the north hemisphere and the south hemisphere of the Poincare sphere respectively are selected for experimental verification, and the method is used for preparing high-quality vector light beams and vector vortex light beams.
Those skilled in the art will appreciate that the details of the present invention not described in detail herein are well within the skill of those in the art.
Claims (3)
1. A method for preparing vector beams at any position on a Poincare sphere is characterized in that: in order to realize the preparation of any point vector beam on a high-order Poincare sphere and a mixed-order Poincare sphere, the position of the longitude of the vector beam on the Poincare sphere can be changed by preferentially deducing the addition of the extra phase of the pure phase hologram on the spatial light modulator based on a conversion relation between a Stokes polynomial and the latitude of the Poincare sphere; the method comprises the steps of analyzing the change of the polarization angle of a reconstructed light field after the light field passes through a half-wave plate, decomposing the vertical and horizontal polarization components of the light field intensity, and calculating the relationship between the polarization angle of a light beam, namely the angle between the half-wave plate and a fast axis, and the vector light beam on the Poincare sphere latitude through a Stokes formula, so that the preparation of the vector light beam at any position on the Poincare sphere is realized.
2. The method of claim 1, wherein the method further comprises the steps of: based on stokes polynomials
And
wherein S 1 ,S 2 Representing the stokes parameters and constituting the x-y coordinate axes of a poincare sphere, phi represents a function comprising amplitude and initial phase under complex amplitude modulation
And
respectively represents functions of the right-handed topological charge number m and the left-handed topological charge number l,
representing orthogonal circular polarization basis. Wherein
Represents the relative phase difference of the left and right circular polarization components, and also characterizes the extra phase added by the phase-only hologram on the spatial light modulator, and the longitude 2 theta on the Poincare sphere is expressed as 2 theta = arctan (S) 2 /S 1 ) = phi, it follows that a change in poincare sphere longitude of the vector beam can be achieved by adjusting the extra phase of the phase-only hologram.
3. The method of claim 1, wherein the method further comprises the steps of: setting the light beam modulated by the pure phase spatial light modulator to be horizontally polarized and the initial polarization angle to be theta 0 =0 °, assuming that the polarization angle of the light beam after passing through the half-wave plate is
θ HWP Is an included angle between the half-wave plate and the fast axis; the intensity of a reconstructed light field passing through the pure-phase spatial light modulator is set as I, the intensity of the light beam is subjected to horizontal and vertical decomposition, and the latitude 2 sigma of the Poincare sphere can be represented by a Stokes polynomial to be 2 sigma = arcsin (S) 3 /S 0 )，S 0 Characterizing the intensity of the light beam, S 3 Represents the z-axis of poincare sphere; derived to
The vector beam can be added in a large scale by adjusting the polarization angle of the beam, namely the angle of a half-wave plateVariation in the latitude of the leiqiu.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211221132.8A CN115480412A (en) | 2022-10-08 | 2022-10-08 | Method for preparing vector light beam at any position on Poincare sphere |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211221132.8A CN115480412A (en) | 2022-10-08 | 2022-10-08 | Method for preparing vector light beam at any position on Poincare sphere |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN115480412A true CN115480412A (en) | 2022-12-16 |
Family
ID=84393644
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202211221132.8A Pending CN115480412A (en) | 2022-10-08 | 2022-10-08 | Method for preparing vector light beam at any position on Poincare sphere |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN115480412A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116295844A (en) * | 2023-03-20 | 2023-06-23 | 哈尔滨工业大学 | Device and method for synchronously reconstructing polarization state and orbital angular momentum of vector light mode |
-
2022
- 2022-10-08 CN CN202211221132.8A patent/CN115480412A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116295844A (en) * | 2023-03-20 | 2023-06-23 | 哈尔滨工业大学 | Device and method for synchronously reconstructing polarization state and orbital angular momentum of vector light mode |
| CN116295844B (en) * | 2023-03-20 | 2024-02-09 | 哈尔滨工业大学 | Device and method for synchronously reconstructing polarization state and orbital angular momentum of vector light mode |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Rosales-Guzmán et al. | Polarisation-insensitive generation of complex vector modes from a digital micromirror device | |
| Chen et al. | Generation of equal-energy orbital angular momentum beams via photopatterned liquid crystals | |
| CN111142266B (en) | Vector light beam generation and dynamic regulation and control device and method | |
| Zheng et al. | Compact lcos–slm based polarization pattern beam generator | |
| García-Martínez et al. | Efficient on-axis SLM engineering of optical vector modes | |
| US9829717B1 (en) | Pancharatnam-berry optical element/diffractive waveplate angular momentum sorter | |
| Maji et al. | Geometric phase and intensity-controlled extrinsic orbital angular momentum of off-axis vortex beams | |
| CN113406791B (en) | Diffraction zero-order vortex light complex amplitude modulation method | |
| Naik et al. | Generation of singular optical beams from fundamental Gaussian beam using Sagnac interferometer | |
| CN115480412A (en) | Method for preparing vector light beam at any position on Poincare sphere | |
| Stilgoe et al. | An interpretation and guide to single-pass beam shaping methods using SLMs and DMDs | |
| Hu et al. | Generation and characterization of complex vector modes with digital micromirror devices: a tutorial | |
| CN111307279A (en) | Vortex light mode detection method based on three-step phase shift method | |
| CN114397761B (en) | Simultaneous regulation and control method for diffraction order phase distribution and polarization based on metasurface | |
| Zeng et al. | Structural stability of open vortex beams | |
| Li et al. | Generation of fractional and ultra-high polarization-order vector vortex beams on hybrid-order Poincaré spheres | |
| CN110631705B (en) | Method and device for carrying out real-time Stokes polarization measurement by using DMD | |
| Wang et al. | Generation of Full Poincaré beams on arbitrary order Poincaré sphere | |
| Zhou et al. | Spatial light modulator-based programmable J-plate for the arbitrary spin-to-orbital angular momentum conversion of lights | |
| Dong et al. | Compact generation of light beams carrying robust higher-order Poincaré polarization states | |
| Zhang et al. | Flexible and high-efficiency generation of arbitrary vector vortex beams on hybrid-order Poincaré sphere | |
| Samlan et al. | A study of geometric phase topology using Fourier transform method | |
| Xie et al. | Generation of arbitrary vector beams based on a single spatial light modulator and a thin-film polarization splitting cubic | |
| Zhang et al. | Spatially multiple-dimensional orbital angular momentum multiplexed holography for information encryption | |
| Wang et al. | Optically polarized selection in atomic vapor and its application in mapping the polarization distribution |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination |