Higher-Order Poincaré Sphere, Stokes Parameters, and the Angular Momentum of Light

Principles of Optics

Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · Cambridge University Press eBooks · doi:10.1017/9781108769914 · Cited by 26,627

Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light

Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · doi:10.1017/cbo9781139644181 · Cited by 26,290

Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes

Allen, L., Beijersbergen, M. W., Spreeuw, R. J. C., & Woerdman, J. P. (1992) · Physical Review A · doi:10.1103/physreva.45.8185 · Cited by 10,455

Quantal phase factors accompanying adiabatic changes

Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252

Classical Electrodynamics

Greiner, W. (1998) · Classical theoretical physics · doi:10.1007/978-1-4612-0587-6 · Cited by 7,095

Optical Waveguide Theory

Snyder, A. W., & Love, J. D. (1984) · doi:10.1007/978-1-4613-2813-1 · Cited by 3,780

Classical Electrodynamics, 3rd ed .

Jackson, J. D., & Fox, R. F. (1999) · American Journal of Physics · doi:10.1119/1.19136 · Cited by 3,073

Cylindrical vector beams: from mathematical concepts to applications

Zhan, Q. (2009) · Advances in Optics and Photonics · doi:10.1364/aop.1.000001 · Cited by 2,977

Sharper Focus for a Radially Polarized Light Beam

Dorn, R., Quabis, S., & Leuchs, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.233901 · Cited by 2,129

Generalized theory of interference, and its applications: Part I. Coherent pencils

Pancharatnam, S. (1956) · Proceedings of the Indian Academy of Sciences - Section A · doi:10.1007/bf03046050 · Cited by 1,616

Polarization Singularities and Intensity Degeneracies

RUCHI, R., & Senthilkumaran, P. (2020) · Frontiers in Physics · doi:10.3389/fphy.2020.00140 · Cited by 12

Anomalous zero-group-velocity photonic bonding states with local chirality

Sotto, M., Debnath, K., Khokhar, A. Z., Tomita, I., Thomson, D. J., & Saito, S. (2018) · Journal of the Optical Society of America B · doi:10.1364/josab.35.002356 · Cited by 12

Quantum skyrmions and high dimensional entanglement mediated by nanophotonics

Kam, A., Tsesses, S., Fridman, L., Ilin, Y., Sivan, A., Sayer, G., Lotan, S., Cohen, K., Shaham, A., Nemirovsky-Levy, L., et al. (2026) · eLight · doi:10.1186/s43593-026-00124-1 · Cited by 11

Cyclic Evolution of Synergized Spin and Orbital Angular Momenta

Liu, L., Sun, X., Tian, Y., Zhang, X., Lu, M., & Chen, Y. (2024) · Advanced Science · doi:10.1002/advs.202409377 · Cited by 11

Arbitrary vector beam generation by mapping an object

Wang, R., Zhang, H., Liu, K., Li, X., & Tai, Y. (2025) · Applied Physics Letters · doi:10.1063/5.0276490 · Cited by 11

Generation of cylindrical vector beams based on metasurface

Yi, X., Li, Y., Liu, Y., Xiao-Hui, L., Zhang, Z., & Hai-Lu, L. (2014) · Acta Physica Sinica · doi:10.7498/aps.63.094203 · Cited by 11

Generation of pure Laguerre-Gaussian vector beams on the higher-order Poincaré sphere by hollow Gaussian beams through dielectric metasurfaces

Sang, B., Ke, Y., Wu, J. F., Luo, H., Shu, W., & Wen, S. (2019) · Optics Communications · doi:10.1016/j.optcom.2019.01.053 · Cited by 11

Representation of total angular momentum states of beams through a four-parameter notation

Fu, S., Hai, L., Song, R., Gao, C., & Zhang, X. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac1695 · Cited by 11

Polarization singularities in planar electromagnetic resonators with rotation and mirror symmetries

Yang, J., Zheng, X., Wang, J., Zhang, A., Cui, T. J., & Vandenbosch, G. A. E. (2023) · Photonics Research · doi:10.1364/prj.485625 · Cited by 11

SU(2) symmetry of coherent photons and application to Poincaré rotator

Saito, S. (2023) · Frontiers in Physics · doi:10.3389/fphy.2023.1225419 · Cited by 11

Alias Transformation of Structured Beam and Holography in Real and Fourier Space Based on Dielectric Metasurface

Zhang, X., Zhu, S., Li, P., Li, Y., Li, J., Li, X., Wang, Y., & Huang, L. (2024) · Laser & Photonics Review · doi:10.1002/lpor.202301070 · Cited by 11

Resonantly pumped Er:YAG vector laser with selective polarization states at 1.6 µm

Song, R., Gao, C., Zhou, H., & Fu, S. (2020) · Optics Letters · doi:10.1364/ol.400835 · Cited by 11

Heralded Generation of Vectorially Structured Photons With a High Purity

Wu, H., Yu, B., Zhu, Z., Rosales‐Guzmán, C., Zhou, Z., Ding, D.-S., Gao, W., & Shi, B. (2021) · Frontiers in Physics · doi:10.3389/fphy.2021.654451 · Cited by 11

Optimization-free customization of optical tightly focused fields: uniform needles and hotspot chains

He, J., Zhuang, J., Li, D., & Huang, K. (2021) · Applied Optics · doi:10.1364/ao.418415 · Cited by 11

Extended Stokes parameters for cylindrically polarized beams

Suzuki, M., Yamane, K., Oka, K., Toda, Y., & Morita, R. (2015) · Optical Review · doi:10.1007/s10043-015-0023-7 · Cited by 11

Spatial phase and polarization retrieval of arbitrary circular symmetry singular light beams using orthogonal polarization separation

Xie, Z., He, Y., Chen, X., Liu, J., Zhou, X., Ye, H., Li, Y., Chen, S., Zhang, X., & Fan, D. (2019) · Optics Express · doi:10.1364/oe.27.027282 · Cited by 11

Detection of partially coherent polarization singular vector beams using Stokes polarimetry

Khan, S. N., Joshi, S., Kanseri, B., & Senthilkumaran, P. (2021) · Applied Physics Letters · doi:10.1063/5.0030920 · Cited by 11

Index-symmetry breaking of polarization vortices in 2D random vector waves

Angelis, L. D., Bauer, T. A., Alpeggiani, F., & Kuipers, L. (2019) · Optica · doi:10.1364/optica.6.001237 · Cited by 11

High-Dimensional Quantum Key Distribution by a Spin-Orbit Microlaser

Zhang, Y., Zhao, H., Wu, T., Gao, Z., Ge, L., & Feng, L. H. (2025) · Physical Review X · doi:10.1103/physrevx.15.011024 · Cited by 10

Single-phase modulated optical skyrmions for information security applications

Laxminarayan, L., Tripathi, K. K., Kumar, P., Rao, A. S., & Omatsu, T. (2025) · Optics Express · doi:10.1364/oe.573686 · Cited by 10

Adaptive modal gain controlling for a high-efficiency cylindrical vector beam fiber laser

Fang, W., Tao, R., Zhang, Y., Li, H., Yao, P., & Xu, L. (2019) · Optics Express · doi:10.1364/oe.27.032649 · Cited by 10

Simple method for generating special beams using polarization holography

Zheng, S., Ke, S., Liu, H., Xu, X., Zhang, Y., Yang, Y., Huang, Z., & Tan, X. (2022) · Optics Express · doi:10.1364/oe.453890 · Cited by 10

Synthesizing the complex orbital-angular-momentum spectrum of hybrid modes existed in a few-mode fiber

Hao, Y., Guo, C., Huang, X., Xu, J., Lu, H., Zhao, H., Wang, P., & Li, H. (2022) · Optics Express · doi:10.1364/oe.463608 · Cited by 10

Multiwavelength achromatic super-resolution focusing via a metasurface-empowered controlled generation of focused cylindrically polarized vortex beams

Wang, J., Li, F., & Kang, G. (2022) · Optics Express · doi:10.1364/oe.462900 · Cited by 10

Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres

Marco, D., Sánchez-López, M. D. M., Hernández-García, C., & Moreno, I. (2022) · Journal of Optics · doi:10.1088/2040-8986/ac99eb · Cited by 10

Enhancement of Optical Spin-Orbit Coupling in Anisotropic ENZ Metamaterials

Aita, V., & Zayats, A. V. (2022) · IEEE photonics journal · doi:10.1109/jphot.2022.3232460 · Cited by 10

Stokes scintillations for vector beams in turbulence

Dong, Z. X., Yuan, B., Liu, Y., Wang, F., Cai, Y., & Chen, Y. (2023) · Chinese Optics Letters · doi:10.3788/col202321.100101 · Cited by 10

Generation and Manipulation of Spin‐Orbit Coupling mode via Four‐Wave Mixing with Quantum Interference

Pan, C., Li, H., Pang, H., Ru, R., Zhang, S., Wei, D., Chen, H., Gao, H., & Li, F. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202300625 · Cited by 10

Polarimetric‐Spectral‐Sensitive Compressed Ultrafast Photography Enables Real‐Time Intensity Visualization of Time‐Varying Polarized Ultrafast Laser Pulses

Ding, P., Guo, Z., Qi, D., Yao, J., Jin, C., Xu, N., Zhang, Z., Yao, Y., Deng, L., Wang, Z., et al. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202300873 · Cited by 10

Efficient generation and amplification of intense vortex and vector laser pulses via strongly-coupled stimulated Brillouin scattering in plasmas

Wu, Y., Zhang, C., Nie, Z., Sinclair, M., Farrell, A., Marsh, K. A., Alves, E. P., Tsung, F. S., Mori, W. B., & Joshi, C. (2024) · Communications Physics · doi:10.1038/s42005-023-01493-6 · Cited by 10

Multi-dimensional cylindrical vector beam (de)multiplexing through cascaded wavelength- and polarization-sensitive metasurfaces

Chen, S., Zhong, P., Wu, H., Chen, J., Wang, P., Xie, Z., Huang, Z., Liu, J., Fan, D., & Li, Y. (2024) · Optics Express · doi:10.1364/oe.514218 · Cited by 10

Customizable Generation of Arbitrary‐Order Polarization Vortices by Spin‐Decoupled Geometric Phases

Jiang, J., Fu, X., Yang, J., Wang, Z., Tian, X., Zhu, R., Wang, J., & Qu, S. (2024) · Laser & Photonics Review · doi:10.1002/lpor.202401137 · Cited by 10

Polarization-multiplexing metasurface for vectorial optical field demultiplexing and detection on higher-order Poincaré sphere

Zhou, P., Deng, S., Wen, X., Chen, L., Ye, H., & Liu, Y. (2025) · Physics Letters A · doi:10.1016/j.physleta.2025.130402 · Cited by 10

Diffractive Metasurface‐Enabled Single‐Shot Characterization of Hybrid‐Order Poincaré Beams

Li, X., Shi, B., Jia, Q., Zhang, Y., Gao, Y., Gao, W., Tang, D., Cao, Y., Sun, F., Feng, R., et al. (2025) · Advanced Optical Materials · doi:10.1002/adom.202403405 · Cited by 10

Controlled higher-order transverse mode conversion from a fiber laser by polarization manipulation

Huang, B., Qian, Y., Yang, L., Zhao, C., & Wen, S. (2017) · Journal of Optics · doi:10.1088/2040-8986/aaa1b1 · Cited by 10

Arbitrary polarization and orbital angular momentum generation based on spontaneously broken degeneracy in helically twisted ring-core photonic crystal fibers

Fujisawa, T., & Saitoh, K. (2021) · Optics Express · doi:10.1364/oe.432401 · Cited by 10

Perturbation of V-point polarization singular vector beams

Arora, G., Joshi, S., Singh, H., Haridas, V., & Senthilkumaran, P. (2022) · Optics & Laser Technology · doi:10.1016/j.optlastec.2022.108842 · Cited by 10

Generalized Poincaré Beams in Tight Focus

Kotlyar, V. V., Kovalev, A. A., & Telegin, A. M. (2023) · Photonics · doi:10.3390/photonics10020218 · Cited by 10

Optical analog computing enabled broadband structured light

Wang, Y., Yang, Q., Shou, Y., & Luo, H. (2023) · Optics Letters · doi:10.1364/ol.488765 · Cited by 10

Polarization interferometric prism: A versatile tool for generation of vector fields, measurement of topological charges, and implementation of a spin–orbit controlled-Not gate

Ren, Z.-C., Cheng, Z.-M., Wang, X.-L., Ding, J., & Wang, H.-T. (2021) · Applied Physics Letters · doi:10.1063/5.0030512 · Cited by 10

Optical Singularity Built on Tiny Holes

Zhou, C., Mou, Z., Lu, P., & Teng, S. (2021) · Annalen der Physik · doi:10.1002/andp.202100147 · Cited by 10

Amplification of higher order Poincaré sphere beams through Nd:YLF and Nd:YAG crystals

Sroor, H., Litvin, I. A., Naidoo, D., & Forbes, A. (2019) · Applied Physics B · doi:10.1007/s00340-019-7158-3 · Cited by 10

Second harmonic of higher-order Poincaré sphere beam with two orthogonal 5%MgO:PPLN crystals

Jiang, Q., Zhao, M., Wang, Y., Wang, S., Dou, J., Liu, J., Li, B., & Hu, Y. (2024) · APL Photonics · doi:10.1063/5.0198012 · Cited by 9

Manipulations of Vectorial-Structured Light by Spatially Interleaved Metasurfaces of Quarter-Wave-Plate Meta-Atoms

Zhang, Z., Gu, M., Cui, G., Zhou, Y., Dong, Q., Gao, S., Choi, D., Cheng, C., & Liu, C. (2024) · Journal of Lightwave Technology · doi:10.1109/jlt.2024.3409888 · Cited by 9

Raman fingerprints on the Bloch sphere of a spinor Bose–Einstein condensate

Schultz, J. T., Hansen, A., Murphree, J. D., Jayaseelan, M., & Bigelow, N. P. (2016) · Journal of Modern Optics · doi:10.1080/09500340.2016.1139204 · Cited by 9

Compact photonic spin filters

Ke, Y., Liu, Z., Liu, Y., Zhou, J., Shu, W., Luo, H., & Wen, S. (2016) · Applied Physics Letters · doi:10.1063/1.4966954 · Cited by 9

Self-healing of vector field singularities

Komal, B., Arora, G., Kumar, S., & Senthilkumaran, P. (2022) · Optics Communications · doi:10.1016/j.optcom.2022.128796 · Cited by 9

Generation of mode-switchable nanosecond pulsed cylindrical vector beams and vortex beams from a Q-switched solid-state laser

Cao, L., Dou, J., Zhao, J., Li, T., & Hu, Y. (2023) · Optics Communications · doi:10.1016/j.optcom.2023.129715 · Cited by 9

Spin angular momentum at the tight focus of a cylindrical vector beam with an imbedded optical vortex

Kotlyar, V. V., Stafeev, S. S., & Telegin, A. M. (2023) · Optik · doi:10.1016/j.ijleo.2023.171103 · Cited by 9

Controllable reverse energy flow in the focus of tightly focused hybrid vector beams

Han, L., Qi, J., Gao, C., & Li, F. (2024) · Optics Express · doi:10.1364/oe.536888 · Cited by 9

Spin-dependent OAM flipping in multihelical optical fibres

Yavorsky, M. A., Владимировна, Б. Е., Vikulin, D., & Alexeyev, C. N. (2018) · Journal of Optics · doi:10.1088/2040-8986/aae3ff · Cited by 9

Perturbation-induced morphological transformations in vector-field singularities

Khan, S. N., Deepa, S., Arora, G., & Senthilkumaran, P. (2020) · Journal of the Optical Society of America B · doi:10.1364/josab.386553 · Cited by 9

Poincaré sphere analogue for optical vortex knots

Zhong, J., Liu, S., Wang, K., Li, P., Wei, B., Guo, X., & Zhao, J. (2021) · Optics Letters · doi:10.1364/ol.448783 · Cited by 9

Separation of spin angular momentum in space-variant linearly polarized beam

Chen, H., Yu, Z., Hao, J., Chen, Z., Xu, J., Ding, J., & Wang, H. (2013) · Applied Physics B · doi:10.1007/s00340-013-5523-1 · Cited by 9

Modulation of orbital angular momentum on the propagation dynamics of light fields

Li, P., Liu, S., Zhang, Y., Han, L., Wu, D., Cheng, H., Qi, S., Guo, X., & Zhao, J. (2017) · Frontiers of Optoelectronics · doi:10.1007/s12200-017-0743-3 · Cited by 9

Orbital angular momentum density characteristics of tightly focused polarized Laguerre–Gaussian beam

Zhao, Y., Yao, Y., Xu, X., Xu, K., Yang, Y., & Tian, J. (2020) · Applied Optics · doi:10.1364/ao.399033 · Cited by 9

Five-dimensional Poincaré sphere system for representing azimuthally varying vector optical fields

Zhao, J., Pan, Y., Gao, X.-Z., Ma, R.-D., Man, Z., Ren, Z., Tu, C., Li, Y., & Wang, H. (2022) · Physical Review A · doi:10.1103/physreva.106.023506 · Cited by 9

Optical Centroid Orbiting Metrology

Fang, L., Chen, J., Chen, Q., & Zhao, C. (2025) · Laser & Photonics Review · doi:10.1002/lpor.202402311 · Cited by 8

Tunable Vector Polarization Transformation Enabled by Meta‐Cavity

Chen, C., Niu, C., Song, W., Zhu, S. N., Li, T., & Tsai, D. P. (2025) · Laser & Photonics Review · doi:10.1002/lpor.202500434 · Cited by 8

Coherent generation of arbitrary first-order Poincaré sphere beams on an Si chip

Pi, H., Yu, W., Yan, J., & Fang, X. (2021) · Optics Express · doi:10.1364/oe.438695 · Cited by 8

Longitudinal evolution from scalar to vector beams assembled from all-dielectric metasurfaces

Xu, W., Li, J., & Yao, J. (2023) · Optics Letters · doi:10.1364/ol.482951 · Cited by 8

High-Order Coupled-Mode Theory for Angular Symmetry Chiral Fibers Manipulating Arbitrary-Order Orbital Angular Momentum Modes

Rao, X., Yang, L., Su, J., & Xie, H. (2024) · Journal of Lightwave Technology · doi:10.1109/jlt.2024.3413983 · Cited by 8

Polarization properties of superposed vector Laguerre–Guassian beams during propagation

Wang, J., Wang, L., Xin, Y., & Song, M. (2017) · Journal of the Optical Society of America A · doi:10.1364/josaa.34.001924 · Cited by 8

Generating a 64 × 64 beam lattice by geometric phase modulation from arbitrary incident polarizations

Fu, S., Han, X., Song, R., Huang, L., & Gao, C. (2020) · Optics Letters · doi:10.1364/ol.412411 · Cited by 8

Angular momentum redirection phase of vector beams in a non‐planar geometry

McWilliam, A., Cisowski, C. M., Bennett, R. G., & Franke‐Arnold, S. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0528 · Cited by 8

Tailoring ultra-broadband vector beams via programming the electric field vector of light

Sun, P., Wang, Y., Yuan, C., Jia, S., Shen, D., & Zheng, Z. (2022) · Optics Express · doi:10.1364/oe.462908 · Cited by 8

Generation of optical chirality by the tightly focused higher-order Poincaré sphere vector vortex beams

Zhu, M., Man, Z., Zhang, L., Ge, X., Han, K., Wang, B., & Lei, C. (2023) · Optics Communications · doi:10.1016/j.optcom.2023.129758 · Cited by 8

On‐Demand Subwavelength‐Scale Light Sculpting Using Nanometric Holograms

Zhang, X., Hu, Y., Zhang, X., Li, Z., Chen, Z., & Fu, S. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202300527 · Cited by 8

Polarization-controlled generation of multiple orbital angular momentum modes

Ren, Z., Cheng, Z.-M., Fan, L., Sun, R., Zhu, W.-Z., Wan, P., Dong, B.-W., Lou, Y.-C., Ding, J., Wang, X., et al. (2024) · APL Photonics · doi:10.1063/5.0194981 · Cited by 8

Light propagation in an optically active plate with topological charge

Wang, Y., Zhang, H., Yu, H., Wang, Z., & Wang, J. (2012) · Applied Physics Letters · doi:10.1063/1.4764546 · Cited by 8

Analysis of the Pancharatnam-Berry phase of vector vortex states using the Hamiltonian based on the Maxwell-Schrödinger equation

Suzuki, M., Yamane, K., Oka, K., Toda, Y., & Morita, R. (2016) · Physical Review A · doi:10.1103/physreva.94.043851 · Cited by 8

Nonlinear unitary transformations of space-variant polarized light fields from self-induced geometric-phase optical elements

Kravets, N., & Brasselet, E. (2018) · Physical Review A · doi:10.1103/physreva.97.013834 · Cited by 8

Geometrical-phase lens based optical system for the spin-splitting of vector beams

Cofré, A., Vargas, A. A., Torres-Ruiz, F. A., Sánchez-López, M. D. M., & Moreno, I. (2018) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2018.06.017 · Cited by 8

Common-path generation of stable cylindrical perfect vector vortex beams of arbitrary order

Mandal, A. K., Maji, S., & Brundavanam, M. M. (2020) · Optics Communications · doi:10.1016/j.optcom.2020.125807 · Cited by 8

Instantaneous field singularities in electromagnetic waves

Shvedov, V. G., & Krolikowski, W. Z. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aae717 · Cited by 8

Expanded Jones complex space model to describe arbitrary higher‐order spatial states in fiber

Mao, B., Liu, Y., Zhang, H., Yang, K., Feng, M., Wang, Z., & Li, Z. (2018) · Nanophotonics · doi:10.1515/nanoph-2019-0165 · Cited by 8

Theory and Practice of Orbital Angular Momentum and Beyond

Trichili, A., Cox, M. A., Perez-García, B., Ooi, B. S., & Alouini, M. (2021) · Wiley eBooks · doi:10.1002/3527600434.eap949 · Cited by 8

Generation of Strong Terahertz Pulse with Topologically Tunable Polarization Features

Cai, J., Shou, Y., Wen, H., Han, L., Gong, Z., Tajima, T., Yu, J., & Yan, X. (2025) · Ultrafast Science · doi:10.34133/ultrafastscience.0116 · Cited by 7

Tomography of Complex Coherence-Polarization Matrix of Random Vector Light for Phase Image Encoding

Dai, S., Wang, Y., Wang, F., Chen, Y., Cai, Y., & Liu, Y. (2025) · ACS Photonics · doi:10.1021/acsphotonics.5c01666 · Cited by 7

Effect of a spiral phase on a vector optical field with hybrid polarization states

Chen, R., Zhong, L.-X., Chew, K., Gu, B., Zhou, G., & Zhao, T. (2015) · Journal of Optics · doi:10.1088/2040-8978/17/6/065605 · Cited by 7

Higher-order optical rabi oscillations

Liu, G., Fu, S., Zhu, S., Yin, H., Li, Z., & Chen, Z. (2022) · Fundamental Research · doi:10.1016/j.fmre.2022.03.014 · Cited by 7

A versatile geometric metasurface for generating both focused vortex and vector beams

Jiang, Q., Guo, X., Xiang, H., & Han, D. (2023) · Results in Physics · doi:10.1016/j.rinp.2023.106309 · Cited by 7

Energy flow of strongly focused cylindrical vector beams on higher-order Poincaré sphere

Huang, Q., Zou, C., & Man, Z. (2023) · Optics Communications · doi:10.1016/j.optcom.2023.129418 · Cited by 7

Generation of arbitrary vector orbital angular momentum beams on higher-order Poincaré spheres based on an all-dielectric metasurface with complex amplitude modulation

Liu, Y., Zhou, C., Yu, K., Liu, Y., Wang, G., Yan, B., & Liu, H. (2024) · Optics Express · doi:10.1364/oe.533364 · Cited by 7

Intrinsic angular momentum, spin and helicity of higher-order Poincaré modes

Babiker, M., Köksal, K., Lembessis, V. E., & Yuan, J. T. (2024) · Journal of Optics · doi:10.1088/2040-8986/ad7514 · Cited by 7

Longitudinal Multi-Channel Focused Vortex and Vector Beams Generation by Quarter-Wave Plate Meta-Atom Metasurfaces

Ma, T., Zhao, K., Gu, M., Zhou, H., Liu, C., Cheng, C., Dong, Q., & Ma, L. (2025) · Nanomaterials · doi:10.3390/nano15050324 · Cited by 7

On‐Demand Longitudinal Transformations of Light Beams via an Amplitude‐Phase‐Decoupled Pancharatnam‐Berry Phase Element

Zou, Y., Li, Y., Yan, J., Liu, H., Zhang, Y., Zhang, Y., Wen, D., Li, P., Wei, B., Zhao, J., et al. (2026) · Laser & Photonics Reviews · doi:10.1002/lpor.202502167 · Cited by 7

SU(2) polarization evolution on higher-order Poincaré sphere by using general q -plate

Umar, M., & Senthilkumaran, P. (2025) · Annals of Physics · doi:10.1016/j.aop.2025.170330 · Cited by 7

Representation and focusing properties of higher-order radially polarized Laguerre–Gaussian beams

Jin, X., Zhang, H., Xu, Y., Zhang, X., & Zhu, H. (2015) · Journal of Modern Optics · doi:10.1080/09500340.2014.999138 · Cited by 7

Space division multiplexing in a basis of vector modes

Lavery, M. P. J., Milione, G., Nguyen, T. A., Huang, H., Xie, G., Nolan, D. A., Alfano, R. R., & Willner, A. E. (2014) · European Conference on Optical Communication · doi:10.1109/ecoc.2014.6964136 · Cited by 7

Generation of superposition modes by polarization-phase coupling in a cylindrical vector orbital angular momentum beam

Jeong, T. M., Bulanov, S. V., Yan, W., Weber, S., & Korn, G. (2019) · OSA Continuum · doi:10.1364/osac.2.002718 · Cited by 7

Generation of Vector Vortex Beams Based on the Optical Integration of Dynamic Phase and Geometric Phase

Zeng, K., He, S., Wang, X., & Luo, H. (2023) · Photonics · doi:10.3390/photonics10020214 · Cited by 7

Propagation dynamics of hybrid-order Poincaré beams in thermal nonlocal media

Li, J., & Zhang, H. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.113444 · Cited by 7

Compact generation of light beams carrying robust higher-order Poincaré polarization states

Dong, Z. X., Zhu, Y., Liu, Y., Wang, F., Cai, Y., Setälä, T., & Chen, Y. (2023) · Applied Physics Letters · doi:10.1063/5.0151176 · Cited by 7

Classification of 270 classes of vector vortex beams using Machine learning-based methods

Bai, X., Wang, Y., & Dai, K. (2023) · Optik · doi:10.1016/j.ijleo.2023.171362 · Cited by 7

Robust high-order polarization arrays via vectorial spatial-coherence engineering

Yuan, B., Dong, Z. X., Liu, Y., Wang, F., Cai, Y., & Chen, Y. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.20.054031 · Cited by 7

Polarization evolution on higher and hybrid-order Poincaré spheres with coaxial polarization holograms

Tian, Y. F., Wang, J., Fan, R., Qi, P., Liu, J., Zheng, S., Yang, Y., Huang, Z., Lin, X., & Tan, X. (2024) · Optics Express · doi:10.1364/oe.518960 · Cited by 7

Tailoring an arbitrary large vectorial structured light beam array utilizing the tensor theory of multiplexed polarization holograms

Singh, S. K., Kinashi, K., Tsutsumi, N., Sakai, W., & Jackin, B. J. (2024) · Optics Express · doi:10.1364/oe.529943 · Cited by 7

Degree of polarization in quantum optics through the second generalization of intensity

Singh, R. S., & Prakash, H. (2013) · Physical Review A · doi:10.1103/physreva.87.025802 · Cited by 7

Nonparaxial analyses of cylindrical vector beams with arbitrary polarization order in the far field

Jia, X., Yang, Y., & Lu, J. (2016) · Journal of Modern Optics · doi:10.1080/09500340.2016.1160156 · Cited by 7

A higher order Poincare sphere representation

Milione, G., & Alfano, R. R. (2012) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.912619

Vector Beam Representation on a Higher Order Poincare Sphere and Higher Order Stokes Parameter Measurement Through Optical Angular Momentum Decomposition

Milione, G., & Alfano, R. R. (2011) · Frontiers in Optics · doi:10.1364/fio.2011.fthq4

Rigorous higher-order Poincaré optical vortex modes

Babiker, M., Köksal, K., & Lembessis, V. E. (2023) · Journal of the Optical Society of America B · doi:10.1364/josab.500511

Higher Order Pancharatnam-Berry Phase and the Angular Momentum of Light

Milione, G., Evans, S., Nolan, D. A., & Alfano, R. R. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.190401 · Cited by 281

Perfect Higher-Order Poincaré Sphere Beams from Digitalized Geometric Phases

Xu, R., Chen, P., Tang, J. Y., Duan, W., Ge, S., Ma, L., Wu, R.-X., Hu, W., & Lu, Y. (2018) · Physical Review Applied · doi:10.1103/physrevapplied.10.034061 · Cited by 49