Polarization of light and topological phases

Principles of Optics

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The Physics of Liquid Crystals

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Geometric Phases in Physics

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Albert Einstein—Philosopher-Scientist

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The Adiabatic Phase and Pancharatnam's Phase for Polarized Light

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Geometric Phase and Intensity-Controlled Extrinsic Orbital Angular Momentum of Off-Axis Vortex Beams

Maji, S., Jacob, P., & Brundavanam, M. M. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.12.054053 · Cited by 20

Modification of the Doppler Effect due to the Helicity-Rotation CouplingPreprint

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Isogyres – Manifestation of Spin-orbit interaction in uniaxial crystal: A closed-fringe Fourier analysis of conoscopic interference

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Geometric phase in beating of light waves

Hannonen, A., Saastamoinen, K., Leppänen, L.-P., Koivurova, M., Shevchenko, A., Friberg, A. T., & Setälä, T. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab3740 · Cited by 19

Light distribution close to focus in biaxially birefringent media

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Observation of Geometric Phases in Quantum Erasers

Kobayashi, H., Tamate, S., Nakanishi, T., Sugiyama, K., & Kitano, M. (2011) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.80.034401 · Cited by 17

Geometric phase of neutrino propagating through dissipative matter

Dajka, J., Syska, J., & Łuczka, J. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.097302 · Cited by 18

Optical properties of polarization-dependent geometric phase elements with partially polarized light

Gorodetski, Y., Biener, G., Niv, A., Kleiner, V., & Hasman, E. (2006) · Optics Communications · doi:10.1016/j.optcom.2006.04.044 · Cited by 18

Transpose symmetry of the Jones matrix and topological phases

Bhandari, R. (2008) · Optics Letters · doi:10.1364/ol.33.000854 · Cited by 18

Pancharatnam-Berry phase in electromagnetic double-pinhole interference

Hannonen, A., Partanen, H., Tervo, J., Setälä, T., & Friberg, A. T. (2019) · Physical Review A · doi:10.1103/physreva.99.053826 · Cited by 18

Linear and nonlinear photonic spin Hall effect induced by analog circular birefringence of Bessel-like beams

Li, Y., Zou, Y. C., Liu, S., Li, P., Wei, B., & Zhao, J. (2023) · Photonics Research · doi:10.1364/prj.488561 · Cited by 17

Non-Abelian geometric phase, Floquet theory and periodic dynamical invariants

Mostafazadeh, A. (1998) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/31/49/015 · Cited by 17

Dissipative geometric phase and decoherence in parity-violating chiral molecules

Dorta-Urra, A., Peñate-Rodríguez, H. C., Bargueño, P., Rojas-Lorenzo, G. A., & Miret-Artés, S. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4707735 · Cited by 17

Poincaré Sphere Method for Optimizing the Phase Modulation Response of a Twisted Nematic Liquid Crystal Display

Durán, V., Láncis, J., Tajahuerce, E., & Climent, V. (2007) · Journal of Display Technology · doi:10.1109/jdt.2006.890710 · Cited by 17

Geometric depolarization in patterns formed by backscattered light

Lacoste, D., Rossetto, V., Jaillon, F., & Saint-Jalmes, H. (2004) · Optics Letters · doi:10.1364/ol.29.002040 · Cited by 16

Geometric Phases for Photons in an Optical Fibre and Some Related Predictions

高孝纯 (2002) · Chinese Physics Letters · doi:10.1088/0256-307x/19/5/302 · Cited by 16

Single‐Shot Reference‐Free Holographic Imaging using a Liquid Crystal Geometric Phase Diffuser

Oh, J., Lee, K., & Park, Y. (2021) · Laser & Photonics Review · doi:10.1002/lpor.202100559 · Cited by 15

Switchable liquid-crystal phase-shift mask for super-resolution photolithography based on Pancharatnam–Berry phase

Glazar, N., Culbreath, C., Li, Y., & Yokoyama, H. (2015) · Applied Physics Express · doi:10.7567/apex.8.116501 · Cited by 15

Dynamics of defects in the vector complex Ginzburg–Landau equation

Hoyuelos, M., Hernández-Garcı́a, E., Colet, P., & Miguel, M. S. (2002) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(02)00690-5 · Cited by 15

Quantum steering with vector vortex photon states with the detection loophole closed

Slussarenko, S., Joch, D. J., Tischler, N., Ghafari, F., Shalm, L. K., Verma, V. B., Nam, S. W., & Pryde, G. J. (2022) · npj Quantum Information · doi:10.1038/s41534-022-00531-5 · Cited by 14

Momentum-space polarization fields in two-dimensional photonic-crystal slabs: Physics and applications

Liu, W., Shi, L., Chan, C. T., & Zi, J. (2022) · Chinese Physics B · doi:10.1088/1674-1056/ac8ce5 · Cited by 14

Light Reconfigurable Topological Optical Phase Structure Enabled by a Photoresponsive Chiral System

Wang, X., Tam, A. M. W., Yang, W., Kiselev, A. D., Shen, D., Chigrinov, V. G., Kwok, H. S., & Li, Q. (2023) · Advanced Optical Materials · doi:10.1002/adom.202202529 · Cited by 14

Berry’s phase for a noncyclic rotation of light in a helically wound optical fiber

Morinaga, A., Monma, A., Honda, K., & Kitano, M. (2007) · Physical Review A · doi:10.1103/physreva.76.052109 · Cited by 14

Observation of a non-adiabatic geometric phase for elastic waves

Boulanger, J., Bihan, N. L., Catheline, S., & Rossetto, V. (2011) · Annals of Physics · doi:10.1016/j.aop.2011.11.014 · Cited by 14

Rotating light with light: Generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals

Marrucci, L. (2007) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.722305 · Cited by 14

Young’s double-slit interference enabled by surface plasmon polaritons: a review

Luo, X., Pu, M., Li, X., Guo, Y., & Ma, X. (2019) · Journal of Physics D Applied Physics · doi:10.1088/1361-6463/ab50cd · Cited by 13

An experimental test of the path dependency of Pancharatnam's geometric phase

Schmitzer, H., Klein, S., & Dultz, W. (1998) · Journal of Modern Optics · doi:10.1080/09500349808230896 · Cited by 13

Nonlinearity of Pancharatnam’s geometric phase in polarizing interferometers

Hils, B., Dultz, W., & Martienssen, W. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.60.2322 · Cited by 13

Optical singularity dynamics and spin-orbit interaction due to a normal-incident optical beam reflected at a plane dielectric interface

Debnath, A., Kumar, N., Baishya, U., & Viswanathan, N. K. (2023) · Physical Review A · doi:10.1103/physreva.107.013522 · Cited by 12

Phase shifting of an interferometer using nonlocal quantum-state correlations

Galvez, E. J., Malik, M., & Melius, B. C. (2007) · Physical Review A · doi:10.1103/physreva.75.020302 · Cited by 12

Geometric phase at a graphene edge: Scattering phase shift of Dirac fermions

Choi, S., Park, S., & Sim, H.-S. (2014) · Physical Review B · doi:10.1103/physrevb.89.155412 · Cited by 12

Observable Dirac-Type Singularities in Berry’s Phase and the Monopole

Bhandari, R. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.100403 · Cited by 11

Tutorial: From Topology to Hall Effects—Implications of Berry Phase Physics

Sprinkart, N., Scheer, E., & Bernardo, A. D. (2024) · Journal of Low Temperature Physics · doi:10.1007/s10909-024-03219-6 · Cited by 15

Topological angular momentum in electron exchange excitation of a single atom

Williams, J., Pravica, L., & Samarin, S. N. (2012) · Physical Review A · doi:10.1103/physreva.85.022701 · Cited by 11

A study of geometric phase topology using Fourier transform method

Thodika, S. C., Naik, D. N., & Viswanathan, N. K. (2016) · Journal of Optics · doi:10.1088/2040-8978/18/7/075602 · Cited by 11

Four-vector optical Dirac equation and spin-orbit interaction of structured light

Feng, L.-L., & Wu, Q. (2022) · Physical Review A · doi:10.1103/physreva.106.043513 · Cited by 12

Geometric phase and photonic spin Hall effect in thin films with architected columnar morphology

Das, A., Mandal, S., Fiallo, R. A., Horn, M. W., Lakhtakia, A., & Pradhan, M. (2023) · Journal of the Optical Society of America B · doi:10.1364/josab.499364 · Cited by 12

Polarization grating exposure method with easily tunable period via dual rotating polarization grating masks

Kim, J., & Escuti, M. J. (2019) · Journal of the Optical Society of America B · doi:10.1364/josab.36.000d42 · Cited by 11

Observation of a non-adiabatic geometric phase for elastic waves

Boulanger, J., Bihan, N. L., Catheline, S., & Rossetto, V. (2012) · Cited by 11

Nanostructured silica spin–orbit optics for modal vortex beam shaping

Coursault, D., & Brasselet, E. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0579 · Cited by 11

Variable geometric-phase polarization rotators for the visible

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Generation of Optical Vortices by Diffraction from Circular Apertures

Yao, J., Qin, Y., Bai, Y., Gao, M., Zhou, L., Li, J., Jiang, Y., & Yang, Y. (2023) · ACS Photonics · doi:10.1021/acsphotonics.3c01038 · Cited by 10

Structured light solid-state laser sources

Omatsu, T., & Rao, A. S. (2025) · Journal of Optics · doi:10.1088/2040-8986/addf5e · Cited by 10

Polarization in Phase Modulated Optical Links: Jones- and Generalized Stokes-Space Analysis

Frigo, N. J., Bucholtz, F., & McLaughlin, C. V. (2013) · Journal of Lightwave Technology · doi:10.1109/jlt.2013.2251861 · Cited by 10

High-order Laguerre-Gauss polychromatic beams from Bragg-Berry flat optics

Nassiri, M. G., Cho, S. Y., Yoshida, H., Ozaki, M., & Brasselet, E. (2018) · Physical Review A · doi:10.1103/physreva.98.063834 · Cited by 10

Helical mode conversion using conical reflector

Kobayashi, H., Nonaka, K., & Kitano, M. (2012) · Institutional Repositories DataBase (IRDB) · Cited by 10

Design and Realization of a Compact Efficient Beam Combiner, Based on Liquid Crystal Pancharatnam–Berry Phase Gratings

Gao, B., Beeckman, J., & Neyts, K. (2021) · Crystals · doi:10.3390/cryst11020220 · Cited by 10

Liquid Crystal-Based Geometric Phase-Enhanced Platform for Polarization and Wavefront Analysis Techniques with the Short-TeraHertz FEL Oscillator TerRa@BriXSinO

Piccirillo, B., Paparo, D., Rubano, A., Andreone, A., Conti, M. R., Giove, D. A., Vicuña-Hernández, V., Koral, C., Masullo, M. R., Mettivier, G., et al. (2022) · Symmetry · doi:10.3390/sym15010103 · Cited by 10

Nonlinear behavior of geometric phases induced by photon pairs

Kobayashi, H., Ikeda, Y., Tamate, S., Nakanishi, T., & Kitano, M. (2011) · Physical Review A · doi:10.1103/physreva.83.063808 · Cited by 10

Geometric phase in optics and angular momentum of light

Tiwari, S. C. (2004) · Journal of Modern Optics · doi:10.1080/09500340408232658 · Cited by 10

Polarization and longitudinal modes of Möbius fiber ring lasers

Li, S., Zeng, X., Zhou, J., Cheng, Z., & Feng, Y. (2022) · Optica · doi:10.1364/optica.474407 · Cited by 9

Realization of doubly inhomogeneous waveplates for structuring of light beams

Radhakrishna, B., Kadiri, G., & Raghavan, G. (2021) · Journal of the Optical Society of America B · doi:10.1364/josab.422607 · Cited by 9

Transmission-mode geometric-phase signatures of circular Bragg phenomenon

Lakhtakia, A. (2024) · Journal of the Optical Society of America B · doi:10.1364/josab.515038 · Cited by 9

Geometrical Phase Optical Components: Measuring Geometric Phase without Interferometry

Arteaga, O., & Bendada, H. (2020) · Crystals · doi:10.3390/cryst10100880 · Cited by 9

Pancharatnam phase for the generalized Jaynes–Cummings model with a nonlinear Kerr cavity

Aouachria, M., & Chétouani, L. (2009) · Canadian Journal of Physics · doi:10.1139/p08-117 · Cited by 9

Geometry and control of three-wave interactions

Alber, M., Luther, G. G., Marsden, J. E., & Robbins, J. M. (1999) · doi:10.1090/fic/024/05 · Cited by 9

1 Non-Abelian Geometric Phase, Floquet Theory, and Periodic Dynamical InvariantsPreprint

Mostafazadeh, A. (1998) · Cited by 9

Geometric phase of a qubit driven by a phase noise laser under non-Markovian dynamics

Berrada, K. (2013) · Annals of Physics · doi:10.1016/j.aop.2013.10.004 · Cited by 8

Pancharatnam phase: A tool for atom optics

Décamps, B., Gauguet, A., Vigué, J., & Büchner, M. (2017) · Physical Review A · doi:10.1103/physreva.96.013624 · Cited by 8

Generic optical singularities in Brewster-reflected postparaxial beam fields

Debnath, A., & Viswanathan, N. K. (2021) · Physical Review A · doi:10.1103/physreva.103.013510 · Cited by 9

Robust Geometric Phase of Bloch Sphere Deformation in Quasiphase Matched Structures

Zhao, F., Zhang, H., Xu, X., Liang, H., He, H., Zhou, Y., Lü, J., & Li, Y. (2022) · IEEE photonics journal · doi:10.1109/jphot.2022.3177687 · Cited by 9

Tunable geometric phase of Dirac fermions in a topological junction

Choi, S., Park, S., & Sim, H.-S. (2013) · Physical Review B · doi:10.1103/physrevb.87.165420 · 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

Circular array of anisotropic fibers: A discrete analog of a q plate

Alexeyev, C. N. (2012) · Physical Review A · doi:10.1103/physreva.86.063830 · Cited by 8

Comment on “Neutron Interferometric Observation of Noncyclic Phase”

Bhandari, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2089 · Cited by 8

Vector Optical Beam with Controllable Variation of Polarization during Propagation in Free Space: A Review

Wang, W., Cheng, T.-Y., Bai, Z., Liu, S., & Lü, J. (2021) · Applied Sciences · doi:10.3390/app112210664 · Cited by 7

Waveguiding driven by the Pancharatnam-Berry phase

Jisha, C. P., Arumugam, S. V., Marrucci, L., Nolte, S., & Alberucci, A. (2023) · Physical Review A · doi:10.1103/physreva.107.013523 · Cited by 7

Polarization-insensitive wavefront shaping using the Pancharatnam–Berry phase

Jisha, C. P., Nolte, S., & Alberucci, A. (2019) · Optics Letters · doi:10.1364/ol.44.005517 · Cited by 7

Covariant formulation of spin optics for electromagnetic waves

Dahal, P. K. (2022) · Applied Physics B · doi:10.1007/s00340-022-07952-2 · Cited by 7

Geometric phase and entanglement of Raman photon pairs in the presence of photonic band gap

Berrada, K., Ooi, C. H. R., & Abdel‐Khalek, S. (2015) · Journal of Applied Physics · doi:10.1063/1.4916333 · Cited by 7

Binormal schrodinger system of Heisenberg ferromagnetic equation in the normal direction with Q-HATM approach

Körpınar, T., Demi̇rkol, R. C., & Korpinar, Z. S. (2021) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887821500821 · Cited by 7

Low-loss ultrabroadband 90° optical rotator with collinear input and output beams

Appel, R. K., & Dyer, C. D. (2002) · Applied Optics · doi:10.1364/ao.41.001888 · Cited by 7

Measurement of nanoparticle sizes by conventional optical microscopy with standing evanescent field illumination

Yu, X., Araki, Y., Iwami, K., & Umeda, N. (2008) · Optics Letters · doi:10.1364/ol.33.002794 · Cited by 6

Generic optical singularities and beam-field phenomena due to general paraxial beam reflection at a plane dielectric interface

Debnath, A., & Viswanathan, N. K. (2022) · Physical Review A · doi:10.1103/physreva.106.013522 · Cited by 6

Manipulation of plasmonic vortex fields using positive elliptically polarized beams

Gu, K., Zhang, Y., Zhao, H., Xu, B., Ni, B., Sun, M., Liu, X., & Xiong, J. (2023) · Optics & Laser Technology · doi:10.1016/j.optlastec.2023.110132 · Cited by 6

Perturbative calculation of the adiabatic geometric phase and particle in a well with moving walls

Mostafazadeh, A. (1999) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/32/47/311 · Cited by 6

Comment on “Geometric phase in coupled neutron interference loops”

Wagh, A. G. (1999) · Physical Review A · doi:10.1103/physreva.59.1715 · Cited by 6

Light beams with general direction and polarization: Global description and geometric phase

Nityananda, R., & Sridhar, S. (2013) · Annals of Physics · doi:10.1016/j.aop.2013.11.010 · Cited by 6

Berry phase and interference effects in three-level atoms

Ben-Aryeh, Y. (2002) · Journal of Modern Optics · doi:10.1080/09500340110087237 · Cited by 5

Neutron Matter Wave Quantum Optics

Rauch, H. (2011) · Foundations of Physics · doi:10.1007/s10701-011-9569-9 · Cited by 4

Spin–orbit coupling mediated transverse spin mode rotation in a uniaxial crystal

Sreedharan, A., & Viswanathan, N. K. (2022) · Optics Letters · doi:10.1364/ol.467526 · Cited by 5

Differences between the geometric phase and propagation phase: clarifying the boundedness problem

Garza-Soto, L. A., Hagen, N. A., Lopez-Mago, D., & Otani, Y. (2023) · Applied Optics · doi:10.1364/ao.510509 · Cited by 5

Optical quantum model for binormal Schrodinger system for light diffuse with q-HATM

Körpınar, T., Şevgin, F., & Korpinar, Z. S. (2024) · Optical and Quantum Electronics · doi:10.1007/s11082-023-06021-y · Cited by 6

Quantifying phases in homogenous twisted birefringent medium

Banerjee, D., & Banerjee, S. (2013) · Applied Optics · doi:10.1364/ao.52.006549 · Cited by 5

Non-Abelian geometrical control of a qubit in an NV center in diamond

Lu, J., & Zhou, L. (2013) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/102/30006 · Cited by 5

Berry phase and traversal time in asymmetric graphene structures

Dragoman, D. (2011) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2011.12.015 · Cited by 5

Geometric phase topology in weak measurement

Thodika, S. C., & Viswanathan, N. K. (2017) · Journal of Optics · doi:10.1088/2040-8986/aa9294 · Cited by 5

Interferometric and Uhlmann phases of mixed polarization states

Kiselev, A. D., & Kesaev, V. V. (2018) · Physical Review A · doi:10.1103/physreva.98.033816 · Cited by 5

Doubling the geometric phase of reflective Pancharatnam–Berry diffractive waveplates

Ono, M., Kobashi, J., Yoshida, H., & Ozaki, M. (2019) · Journal of the Optical Society of America B · doi:10.1364/josab.36.000d20 · Cited by 5

Controlling Fano resonances using the geometrical phase of light in spatially tailored waveguided plasmonic crystals

Ray, S. K., Singh, A. K., Ajmal, Chandel, S., Mitra, P. S., & Ghosh, N. (2019) · Physical Review A · doi:10.1103/physreva.100.033805 · Cited by 5

Binary geometric-phase holograms

Warriner, N. Z., & Escuti, M. J. (2022) · Optics Express · doi:10.1364/oe.471666 · Cited by 5

General framework for multiple scattering of polarized waves including anisotropies and Berry phase

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Adiabatic breakdown in a fiber ring resonator

Buks, E. (2006) · Journal of the Optical Society of America B · doi:10.1364/josab.23.000628 · Cited by 5

Singular Optics of Liquid Crystal Defects

Brasselet, E. (2021) · Liquid Crystals · doi:10.1002/9781119850809.ch1 · Cited by 5

Anomalous Spectral Shift of o-Modes in Multilayer Photonic Structure Induced by Homeotropic–Homeoplanar Transition in Chiral–Nematic Defect Layer

Gunyakov, V. A., Sutormin, V. S., Timofeev, I. V., Shabanov, V. F., & Zyryanov, V. Y. (2023) · Photonics · doi:10.3390/photonics10090959 · Cited by 4

Dynamic and geometric shifts in wave scattering

Bliokh, K. Y., Kuang, Z., & Rotter, S. (2025) · Reports on Progress in Physics · doi:10.1088/1361-6633/ae0bac · Cited by 4

Pure and achromatic spin-orbit shaping of light from Fresnel reflection off space-variant anisotropic media

Nassiri, M. G., & Brasselet, E. (2019) · Physical Review A · doi:10.1103/physreva.99.013836 · Cited by 4

Observation of Pancharatnam-Berry phase for unpolarized and partially polarized light fields

Kanseri, B., & Gupta, R. K. (2020) · Results in Optics · doi:10.1016/j.rio.2020.100048 · Cited by 4

An unconventional optical sparse aperture metalens

Dong, Y., Lin, Y., Sun, T., Zhang, C., Hu, J., Wang, C., Zeng, A., & Huang, H. (2022) · AIP Advances · doi:10.1063/5.0088358 · Cited by 4

Essential Role of Destructive Interference in the Gravitationally Induced Entanglement

Rostom, A. M. (2022) · Fortschritte der Physik · doi:10.1002/prop.202200122 · Cited by 4

Observation of Lorentz-group Berry phases in polarization optics

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Pancharatnam's Phase for Polarized Light

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Measurement of the Pancharatnam phase for a light beam

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Topological phases in quantum mechanics and polarization optics

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Knotted topologies in the polarization state of bichromatic light

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