Polarization of light and topological phases

Bhandari, R

doi:10.1016/s0370-1573(96)00029-4

Cited by 298Topological Materials and PhenomenaOrbital Angular Momentum in OpticsOptical Polarization and Ellipsometry

Polarization of light and topological phases

Bhandari, R·1997·Physics Reports

DOI 10.1016/s0370-1573(96)00029-4

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The Berry phase provides a natural geometrical formalism that describes variations of the light polarization along the propagation trajectory.
“The Berry phase provides a natural geometrical formalism that describes variations of the light polarization along the propagation trajectory (see reviews [4 -7] and original papers [8 -20]).”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [6]
In the generic case of an elliptical polarization, Eq. (3.28) describes the same turn of the polarization ellipse on angle Φ_B with its eccentricity conserved.
“In the generic case of an elliptical polarization, Eq. (3.28) describes the same turn of the polarization ellipse on angle B Φ with its eccentricity conserved, Fig. 1 [4 -20,59].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [6]
The Berry connection determines the natural parallel transport of the polarization vector e over the unit t-sphere.
“In this manner, polarization vector e is tangent to this sphere, and the Berry connection determines the natural parallel transport of e over the 2 S sphere, Fig. 2 [1 -7,9,13 -15,44,84 -90].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [6]
For a cyclic evolution in momentum space, the Berry phase equals the solid angle cut by the contour Γ.
“For a cyclic evolution in momentum space (which corresponds to a ray trajectory with the coincident input and output directions of propagation), the Berry phase (3.26) equals [4 -20]”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [6]

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 26,404 · see citing works
Quantum Mechanics
Messiah, A. (1961) · Cited by 16,012 · see citing works
The Physics of Liquid Crystals
de Gennes, P. G., Prost, J., & Pelcovits, R. A. (1995) · Physics Today · doi:10.1063/1.2808028 · Cited by 9,810 · see citing works
Ellipsometry and Polarized Light
Azzam, R. M. A., Bashara, N. M., & Ballard, S. S. (1978) · Physics Today · doi:10.1063/1.2994821 · Cited by 4,284 · see citing works
The Feynman Lectures on Physics
Feynman, R. P., Leighton, R. B., Sands, M., & Treiman, S. B. (1964) · Physics Today · doi:10.1063/1.3051743 · Cited by 2,944 · see citing works
Phase change during a cyclic quantum evolution
Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,201 · see citing works
Experimental realization of any discrete unitary operator
Reck, M., Zeilinger, A., Bernstein, H. J., & Bertani, P. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.58 · Cited by 2,155 · see citing works
Geometric Phases in Physics
Wilczek, F. A., & Shapere, A. D. (1989) · Advanced series in mathematical physics · doi:10.1142/0613 · Cited by 1,559 · see citing works
The Adiabatic Phase and Pancharatnam's Phase for Polarized Light
Berry, M. V. (1987) · Journal of Modern Optics · doi:10.1080/09500348714551321 · Cited by 1,068 · see citing works
Geometrical Representation of the Schrödinger Equation for Solving Maser Problems
Feynman, R. P., Vernon, F. L., & Hellwarth, R. W. (1957) · Journal of Applied Physics · doi:10.1063/1.1722572 · Cited by 1,061 · see citing works
Albert Einstein—Philosopher-Scientist
Jehle, H. (1951) · American Journal of Physics · doi:10.1119/1.1932797 · Cited by 1,055 · see citing works
General Setting for Berry's Phase
Samuel, J., & Bhandari, R. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.2339 · Cited by 997 · see citing works
Self-citation
Intersection of potential energy surfaces in polyatomic molecules
Herzberg, G., & Longuet-Higgins, H. C. (1963) · Discussions of the Faraday Society · doi:10.1039/df9633500077 · Cited by 992 · see citing works
On the determination of Born–Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei
Mead, C. A., & Truhlar, D. G. (1979) · The Journal of Chemical Physics · doi:10.1063/1.437734 · Cited by 879 · see citing works
Observation of Berry's Topological Phase by Use of an Optical Fiber
Tomita, A., & Chiao, R. Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.937 · Cited by 810 · see citing works
The geometric phase in molecular systems
Mead, C. A. (1992) · Reviews of Modern Physics · doi:10.1103/revmodphys.64.51 · Cited by 614 · see citing works
Lectures on Quantum Mechanics
Baym, G. (2018) · CRC Press eBooks · doi:10.1201/9780429499265 · Cited by 580 · see citing works
A New Calculus for the Treatment of Optical Systems VII Properties of the N-Matrices
Jones, R. C. (1948) · Journal of the Optical Society of America · doi:10.1364/josa.38.000671 · Cited by 527 · see citing works
Manifestations of Berry's Topological Phase for the Photon
Chiao, R. Y., & Wu, Y.-S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.933 · Cited by 482 · see citing works
Geometry of self-propulsion at low Reynolds number
Shapere, A. D., & Wilczek, F. A. (1989) · Journal of Fluid Mechanics · doi:10.1017/s002211208900025x · Cited by 381 · see citing works
Fractional Quantization of Molecular Pseudorotation in Na3
Delacretaz, G. P., Grant, E. R., Whetten, R. L., Wöste, L. H., & Zwanziger, J. W. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.2598 · Cited by 314 · see citing works
Observation of the Phase Shift of a Neutron Due to Precession in a Magnetic Field
Werner, S. A., Colella, R., Overhauser, A. W., & Eagen, C. F. (1975) · Physical Review Letters · doi:10.1103/physrevlett.35.1053 · Cited by 313 · see citing works
Optical Signal Processing.
VanderLugt, A. (1983) · doi:10.21236/ada135908 · Cited by 262 · see citing works
The rotation of the polarization in low birefringence monomode optical fibres due to geometric effects
Ross, J. N. (1984) · Optical and Quantum Electronics · doi:10.1007/bf00619638 · Cited by 260 · see citing works
A universal compensator for polarization changes induced by birefringence on a retracing beam
Martinelli, M. (1989) · Optics Communications · doi:10.1016/0030-4018(89)90436-7 · Cited by 249 · see citing works
Adiabatic Rotational Splittings and Berry's Phase in Nuclear Quadrupole Resonance
Tycko, R. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2281 · Cited by 246 · see citing works
Study of the Aharonov-Anandan quantum phase by NMR interferometry
Suter, D., Mueller, K. T., & Pines, A. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1218 · Cited by 241 · see citing works
Observation of topological phase by use of a laser interferometer
Bhandari, R., & Samuel, J. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1211 · Cited by 234 · see citing works
Self-citation
A New Calculus for the Treatment of Optical SystemsIII The Sohncke Theory of Optical Activity
Jones, R. C. (1941) · Journal of the Optical Society of America · doi:10.1364/josa.31.000500 · Cited by 231 · see citing works
Interpreting the anholonomy of coiled light
Berry, M. (1987) · Nature · doi:10.1038/326277a0 · Cited by 230 · see citing works
Evolving Geometric Phase and Its Dynamical Manifestation as a Frequency Shift: An Optical Experiment
Simon, R., Kimble, H. J., & Sudarshan, E. C. G. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.19 · Cited by 228 · see citing works
Berry's Phase
Zwanziger, J., Koenig, M., & Pines, A. (1990) · Annual Review of Physical Chemistry · doi:10.1146/annurev.pc.41.100190.003125 · Cited by 180 · see citing works
Test for nonreciprocal circular birefringence in YBa2 Cu3 O7 thin films as evidence for broken time-reversal symmetry
Spielman, S., Fesler, K. A., Eom, C., Geballe, T. H., Fejer, M. M., & Kapitulnik, A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.123 · Cited by 180 · see citing works
Observation of a nonclassical Berry’s phase for the photon
Kwiat, P. G., & Chiao, R. Y. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.588 · Cited by 177 · see citing works
Analogies in Optics and Micro Electronics
van Haeringen, W., & Lenstra, D. (1990) · Springer eBooks · doi:10.1007/978-94-009-2009-5 · Cited by 165 · see citing works
Berry's phase in magnetic resonance
Suter, D., Chingas, G. C., Harris, R. A., & Pines, A. (1987) · Molecular Physics · doi:10.1080/00268978700101831 · Cited by 140 · see citing works
Observation of a topological phase by means of a nonplanar Mach-Zehnder interferometer
Chiao, R. Y., Antaramian, A., Ganga, K. M., Jiao, H., Wilkinson, S. R., & Nathel, H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1214 · Cited by 127 · see citing works
Homoclinic and Heteroclinic Chaos in a Single-Mode Laser
Weiss, C. O., Abraham, N. B., & Hübner, U. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1587 · Cited by 127 · see citing works
Measurement of the Pancharatnam phase for a light beam
Chyba, T. H., Simon, R., Wang, L. J., & Mandeļ, L. (1988) · Optics Letters · doi:10.1364/ol.13.000562 · Cited by 126 · see citing works
Nondispersive phase of the Aharonov-Bohm effect
Badurek, G., Weinfurter, H., Gähler, R., Kollmar, A., Wehinger, S., & Zeilinger, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.307 · Cited by 118 · see citing works
Classical realization of a strongly driven two-level system
Spreeuw, R. J. C., van Druten, N. J., Beijersbergen, M. W., Eliel, E. R., & Woerdman, J. P. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.2642 · Cited by 92 · see citing works
How much does the rigid body rotate? A Berry’s phase from the 18th century
Montgomery, R. (1991) · American Journal of Physics · doi:10.1119/1.16514 · Cited by 92 · see citing works
Evidence for broken time reversal symmetry in cuprate superconductors
Weber, H., Weitbrecht, D., Brach, D., Shelankov, A. L., Keiter, H., Weber, W., Wolf, T., Geerk, J., Linker, G., Roth, G., et al. (1990) · Solid State Communications · doi:10.1016/0038-1098(90)90660-4 · Cited by 92 · see citing works
Spin Precession During Interferometry of Fermions and the Phase Factor Associated with Rotations Through 2π Radians
Bernstein, H. J. (1967) · Physical Review Letters · doi:10.1103/physrevlett.18.1102 · Cited by 89 · see citing works
A Simple Necessary and Sufficient Condition on Physically Realizable Mueller Matrices
Givens, C. R., & Kostinski, A. B. (1993) · Journal of Modern Optics · doi:10.1080/09500349314550471 · Cited by 78 · see citing works
Programmable binary phase-only optical device based on ferroelectric liquid crystal SLM
Broomfield, S. E., Neil, M. A. A., Paige, E. G. S., & Yang, G. (1992) · Electronics Letters · doi:10.1049/el:19920016 · Cited by 73 · see citing works
Normal form for Mueller Matrices in Polarization Optics
Sridhar, R., & Simon, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414551811 · Cited by 73 · see citing works
White-light Phase-stepping Interferometry for Surface Profiling
Hariharan, P., & Roy, M. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552041 · Cited by 69 · see citing works
Berry phases and unitary transformations
Jordan, T. F. (1988) · Journal of Mathematical Physics · doi:10.1063/1.527862 · Cited by 56 · see citing works
Geometrical phase and amplitude accumulations in dissipative systems with cyclic attractors
Ning, C., & Haken, H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2109 · Cited by 54 · see citing works
Polarization noise suppression in retracing optical fiber circuits
Pistoni, N. C., & Martinelli, M. (1991) · Optics Letters · doi:10.1364/ol.16.000711 · Cited by 53 · see citing works
A Geometric-phase Interferometer
Hariharan, P., & Roy, M. (1992) · Journal of Modern Optics · doi:10.1080/09500349214551881 · Cited by 51 · see citing works
Quantized complex ferroelectric liquid crystal spatial light modulators
Freeman, M. O., Brown, T., & Walba, D. M. (1992) · Applied Optics · doi:10.1364/ao.31.003917 · Cited by 49 · see citing works
A geometric (Pancharatnam) phase approach to the polarization and phase control in the coherent optics circuits
Martinelli, M., & Vavassori, P. (1990) · Optics Communications · doi:10.1016/0030-4018(90)90380-c · Cited by 45 · see citing works
Nonlinearity of Pancharatnam’s topological phase
Schmitzer, H., Klein, S., & Dultz, W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1530 · Cited by 45 · see citing works
Photon Band Structure in a Sagnac Fiber-Optic Ring Resonator
Spreeuw, R. J. C., Woerdman, J. P., & Lenstra, D. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.318 · Cited by 44 · see citing works
Geometric Phase in Optics
Tiwari, S. C. (1992) · Journal of Modern Optics · doi:10.1080/09500349214551101 · Cited by 38 · see citing works
Phase and frequency jumps in a bidirectional ring laser
Hoffer, L. M., Lippi, G. L., Abraham, N. B., & Mandel, P. (1988) · Optics Communications · doi:10.1016/0030-4018(88)90265-9 · Cited by 35 · see citing works
Some Recent Development, In the Fundamental Theor of Light
Milonni, P. W., & Singh, S. (1990) · Advances in atomic, molecular, and optical physics · doi:10.1016/s1049-250x(08)60199-8 · Cited by 31 · see citing works
Hamilton’s theory of turns and a new geometrical representation for polarization optics
Simon, R., Mukunda, N., & Sudarshan, E. C. G. (1989) · Pramana · doi:10.1007/bf02845998 · Cited by 31 · see citing works
Comment on ’’Observation of Berry’s topological phase by use of an optical fiber’’
Haldane, F. D. M. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1788 · Cited by 30 · see citing works
Observation of random π phase jumps in a ring laser with backscattering
Christian, W. R., Chyba, T. H., Gage, E. C., & Mandeļ, L. (1988) · Optics Communications · doi:10.1016/0030-4018(88)90269-6 · Cited by 28 · see citing works
Binary adaptive optics: atmospheric wave-front correction with a half-wave phase shifter: addenda
Love, G. D. (1996) · Applied Optics · doi:10.1364/ao.35.000347 · Cited by 27 · see citing works
Young's double beam interference experiment with spinor and vector waves
Byrne, J. (1978) · Nature · doi:10.1038/275188a0 · Cited by 24 · see citing works
Optical properties of a QHQ ferroelectric liquid crystal phase modulator
Love, G. D., & Bhandari, R. (1994) · Optics Communications · doi:10.1016/0030-4018(94)90234-8 · Cited by 24 · see citing works
Self-citation
Optical bandstructure and polarization modes in the Sagnac ring resonator
Lenstra, D., & Geurten, S. H. M. (1990) · Optics Communications · doi:10.1016/0030-4018(90)90413-n · Cited by 20 · see citing works
Zero angular momentum turns
Edwards, M. H. (1986) · American Journal of Physics · doi:10.1119/1.14429 · Cited by 19 · see citing works
Sir Charles Frank OBE FRS, An Eightieth Birthday Tribute
Steeds, J., & Chambers, R. (1991) · Bristol Research (University of Bristol) · Cited by 18 · see citing works
Frequency shifters for photorefractive crystals
Huignard, J.-P., & Herriau, J. P. (1985) · Applied Optics · doi:10.1364/ao.24.004285 · Cited by 17 · see citing works
Preservation of polarisation orthogonality of counterpropagating waves through dichroic birefringent optical media: proof and application
van Deventer, M. O. (1991) · Electronics Letters · doi:10.1049/el:19910966 · Cited by 16 · see citing works
Decoherence due to the geometric phase in a ‘‘welcher-weg’’ experiment
Bhandari, R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.3720 · Cited by 13 · see citing works
Self-citation
Interference between Elliptically Polarized Light Beams
Pescetti, D. (1972) · American Journal of Physics · doi:10.1119/1.1986628 · Cited by 13 · see citing works
Polarization eigenmodes of a QHQ retarder — some new features
Bhandari, R., & Love, G. D. (1994) · Optics Communications · doi:10.1016/0030-4018(94)90235-6 · Cited by 12 · see citing works
Self-citation
Scalar Aharonov-Bohm experiment with unpolarized neutrons
Pfeifer, P. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.305 · Cited by 12 · see citing works
Intensity-only modulation for atmospheric scintillation correction by liquid-crystal spatial light modulators
Love, G. D., & Gourlay, J. D. (1996) · Optics Letters · doi:10.1364/ol.21.001496 · Cited by 10 · see citing works
Optical mode-coupling in a ring due to a back-scatterer
Venugopalan, A., Kumar, D., & Ghosh, R. (1993) · Pramana · doi:10.1007/bf02847289 · Cited by 5 · see citing works
Full duplex coherent optical communication with one in-line polarisation controller
van Deventer, M. O. (1990) · Electronics Letters · doi:10.1049/el:19900496 · Cited by 5 · see citing works
A Novel Beamsplitter for Optical Polarization State Interferometry
Wagh, A. G., & Rakhecha, V. C. (1993) · Journal of Modern Optics · doi:10.1080/09500349314551811 · Cited by 2 · see citing works
Optical properties of magnetically doped cholesterics
Sah, Y., Suresh, K. A., & Ranganath, G. S. (1993) · Liquid Crystals · doi:10.1080/02678299308027837 · Cited by 2 · see citing works
Polarization-independent Beam Splitter Based on Light Reflection by a Uniaxial Crystal Surface, and an Immersion Method for Determining the Crystal's Principal Refractive Indices
Azzam, R. M. A. (1994) · Journal of Modern Optics · doi:10.1080/09500349414551401 · Cited by 1 · see citing works

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Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., & Zayats, A. V. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.201 · Cited by 2,276 · see citing works
Optical Spin-to-Orbital Angular Momentum Conversion in Inhomogeneous Anisotropic Media
Marrucci, L., Manzo, C., & Paparo, D. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.163905 · Cited by 2,115 · see citing works
Generating optical orbital angular momentum at visible wavelengths using a plasmonic metasurface
Karimi, E., Schulz, S. A., Leon, I. D., Qassim, H., Upham, J., & Boyd, R. W. (2014) · Light Science & Applications · doi:10.1038/lsa.2014.48 · Cited by 838 · see citing works
Space-variant Pancharatnam–Berry phase optical elements with computer-generated subwavelength gratings
Bomzon, Z., Biener, G., Kleiner, V., & Hasman, E. (2002) · Optics Letters · doi:10.1364/ol.27.001141 · Cited by 806 · see citing works
Goos–Hänchen and Imbert–Fedorov beam shifts: an overview
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Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications
Marrucci, L., Karimi, E., Slussarenko, S., Piccirillo, B., Santamato, E., Nagali, E., & Sciarrino, F. (2011) · Journal of Optics · doi:10.1088/2040-8978/13/6/064001 · Cited by 510 · see citing works
Recent advances in the spin Hall effect of light
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Polarization pattern of vector vortex beams generated by q-plates with different topological charges
Cardano, F., Karimi, E., Slussarenko, S., Marrucci, L., de Lisio, C., & Santamato, E. (2012) · Applied Optics · doi:10.1364/ao.51.0000c1 · Cited by 433 · see citing works
Fabrication of ideal geometric-phase holograms with arbitrary wavefronts
Kim, J., Li, Y., Miskiewicz, M. N., Oh, C., Kudenov, M. W., & Escuti, M. J. (2015) · Optica · doi:10.1364/optica.2.000958 · Cited by 409 · see citing works
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Pancharatnam-Berry phase optical elements for wave front shaping in the visible domain: Switchable helical mode generation
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Cao, H. W., Čižmár, T., Turtaev, S., Tyc, T., & Rotter, S. (2023) · Advances in Optics and Photonics · doi:10.1364/aop.484298 · Cited by 136 · see citing works
Space-variant polarization manipulation
Hasman, E., Biener, G., Niv, A., & Kleiner, V. (2005) · Progress in Optics · doi:10.1016/s0079-6638(05)47004-3 · Cited by 107 · see citing works
Topological polarization singularities in metaphotonics
Liu, W., Liu, W., Shi, L., & Kivshar, Y. (2021) · Nanophotonics · doi:10.1515/nanoph-2020-0654 · Cited by 107 · see citing works
Subwavelength interference of light on structured surfaces
Luo, X., Tsai, D. P., Gu, M., & Hong, M. (2018) · Advances in Optics and Photonics · doi:10.1364/aop.10.000757 · Cited by 100 · see citing works
Reflective Spin-Orbit Geometric Phase from Chiral Anisotropic Optical Media
Rafayelyan, M. S., Tkachenko, G. V., & Brasselet, E. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.253902 · Cited by 97 · see citing works
Fabrication of liquid crystal polymer axial waveplates for UV-IR wavelengths
Nersisyan, S. R., Tabiryan, N. V., Steeves, D. M., & Kimball, B. R. (2009) · Optics Express · doi:10.1364/oe.17.011926 · Cited by 96 · see citing works
Berry Phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material From a Classical Electromagnetics Perspective
Gangaraj, S. A. H., Silveirinha, M. G., & Hanson, G. W. (2017) · IEEE journal on multiscale and multiphysics computational techniques · doi:10.1109/jmmct.2017.2654962 · Cited by 93 · see citing works
Geometric and holonomic quantum computation
Zhang, J., Kyaw, T. H., Filipp, S., Kwek, L. C., Sjöqvist, E., & Tong, D. M. (2023) · Physics Reports · doi:10.1016/j.physrep.2023.07.004 · Cited by 94 · see citing works
Angular momenta, helicity, and other properties of dielectric-fiber and metallic-wire modes
Picardi, M. F., Bliokh, K. Y., Rodríguez‐Fortuño, F. J., Alpeggiani, F., & Nori, F. (2018) · Optica · doi:10.1364/optica.5.001016 · Cited by 86 · see citing works
Spin gauge fields: From Berry phase to topological spin transport and Hall effects
Bliokh, K. Y., & Bliokh, Y. P. (2005) · Annals of Physics · doi:10.1016/j.aop.2005.03.001 · Cited by 78 · see citing works
Generation and self-healing of vector Bessel-Gauss beams with variant state of polarizations upon propagation
Li, P., Zhang, Y., Liu, S., Cheng, H., Han, L., Wu, D., & Zhao, J. (2017) · Optics Express · doi:10.1364/oe.25.005821 · Cited by 75 · see citing works
Binormal schrodinger system of wave propagation field of light radiate in the normal direction with q-HATM approach
Körpınar, T., Korpinar, Z. S., & Demi̇rkol, R. C. (2021) · Optik · doi:10.1016/j.ijleo.2021.166444 · Cited by 71 · see citing works
Multiple degrees‐of‐freedom programmable soft‐matter‐photonics: Configuration, manipulation, and advanced applications
Zhang, Y., Zheng, Z., & Li, Q. (2024) · Responsive materials · doi:10.1002/rpm.20230029 · Cited by 62 · see citing works
Observable frequency shifts via spin-rotation coupling
Mashhoon, B., Neutze, R., Hannam, M., & Stedman, G. E. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00729-4 · Cited by 62 · see citing works
Colloquium : Geometric phases of light: Insights from fiber bundle theory
Cisowski, C. M., Götte, J. B., & Franke‐Arnold, S. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.031001 · Cited by 60 · see citing works
Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum
Karimi, E., Slussarenko, S., Piccirillo, B., Marrucci, L., & Santamato, E. (2010) · Physical Review A · doi:10.1103/physreva.81.053813 · Cited by 60 · see citing works
Generation of Helical Modes of Light by Spin-to-Orbital Angular Momentum Conversion in Inhomogeneous Liquid Crystals
Marrucci, L. (2008) · Molecular Crystals and Liquid Crystals · doi:10.1080/15421400802240524 · Cited by 60 · see citing works
Bragg-Berry mirrors: reflective broadband q-plates
Rafayelyan, M. S., & Brasselet, E. (2016) · Optics Letters · doi:10.1364/ol.41.003972 · Cited by 60 · see citing works
Dielectric geometric phase optical elements fabricated by femtosecond direct laser writing in photoresists
Wang, X., Kuchmizhak, A. A., Brasselet, E., & Juodkazis, S. (2017) · Applied Physics Letters · doi:10.1063/1.4982602 · Cited by 60 · see citing works
Arbitrary optical wavefront shaping via spin-to-orbit coupling
Larocque, H., Gagnon-Bischoff, J., Bouchard, F., Fickler, R., Upham, J., Boyd, R. W., & Karimi, E. (2016) · Journal of Optics · doi:10.1088/2040-8978/18/12/124002 · Cited by 58 · see citing works
Generation and decomposition of scalar and vector modes carrying orbital angular momentum: a review
Pachava, S., Dharmavarapu, R., Anand, V., Jayakumar, S., Manthalkar, A., Dixit, A., Viswanathan, N. K., Srinivasan, B., & Bhattacharya, S. (2019) · Optical Engineering · doi:10.1117/1.oe.59.4.041205 · Cited by 56 · see citing works
Catenary Functions Meet Electromagnetic Waves: Opportunities and Promises
Luo, X., Pu, M., Guo, Y., Li, X., Zhang, F., & Ma, X. (2020) · Advanced Optical Materials · doi:10.1002/adom.202001194 · Cited by 55 · see citing works
Proposed method for detection of the pseudospin- 12 Berry phase in a photonic crystal with a Dirac spectrum
Sepkhanov, R. A., Nilsson, J., & Beenakker, C. W. J. (2008) · Physical Review B · doi:10.1103/physrevb.78.045122 · Cited by 52 · see citing works
Falling cats, parallel parking, and polarized light
Batterman, R. W. (2003) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/s1355-2198(03)00062-5 · Cited by 53 · see citing works
The Majorana representation of polarization, and the Berry phase of light
Hannay, J. H. (1998) · Journal of Modern Optics · doi:10.1080/09500349808230892 · Cited by 51 · see citing works
Tunable High-Resolution Macroscopic Self-Engineered Geometric Phase Optical Elements
Brasselet, E. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.033901 · Cited by 53 · see citing works
Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction
Alber, M., Luther, G. G., Marsden, J. E., & Robbins, J. M. (1998) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(98)00127-4 · Cited by 53 · see citing works
Singularities of the Mixed State Phase
Bhandari, R. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.268901 · Cited by 50 · see citing works
Self-citation
Geometric phase shaping of terahertz vortex beams
Minasyan, A., Trovato, C., Degert, J., Freysz, E., Brasselet, E., & Abraham, E. (2016) · Optics Letters · doi:10.1364/ol.42.000041 · Cited by 49 · see citing works
Geometric phase of optical rotators
Galvez, E. J., & Holmes, C. D. (1999) · Journal of the Optical Society of America A · doi:10.1364/josaa.16.001981 · Cited by 46 · see citing works
Geometric phase lens
Roux, F. S. (2006) · Journal of the Optical Society of America A · doi:10.1364/josaa.23.000476 · Cited by 46 · see citing works
Black plastic sandwiches demonstrating biaxial optical anisotropy
Berry, M., Bhandari, R., & Klein, S. (1999) · European Journal of Physics · doi:10.1088/0143-0807/20/1/001 · Cited by 44 · see citing works
Self-citation
Vector optical field manipulation via structural functional materials: Tutorial
Luo, X., Pu, M., Zhang, F., Xu, M., Guo, Y., Li, X., & Ma, X. (2022) · Journal of Applied Physics · doi:10.1063/5.0089859 · Cited by 43 · see citing works
Spin-orbit coupling affecting the evolution of transverse spin
Eismann, J. S., Banzer, P., & Neugebauer, M. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033143 · Cited by 43 · see citing works
Multispectral Management of the Photon Orbital Angular Momentum
Nassiri, M. G., & Brasselet, E. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.213901 · Cited by 42 · see citing works
Heat Resisting Metallic Meta‐Skin for Simultaneous Microwave Broadband Scattering and Infrared Invisibility Based on Catenary Optical Field
Xie, X., Pu, M., Huang, Y., Ma, X., Li, X., Guo, Y., & Luo, X. (2018) · Advanced Materials Technologies · doi:10.1002/admt.201800612 · Cited by 41 · see citing works
Berry and Pancharatnam topological phases of atomic and optical systems
Ben-Aryeh, Y. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/4/r01 · Cited by 40 · see citing works
Ultrabroadband gradient-pitch Bragg-Berry mirrors
Rafayelyan, M. S., Agez, G., & Brasselet, E. (2017) · Physical Review A · doi:10.1103/physreva.96.043862 · Cited by 40 · see citing works
The Pancharatnam-Berry phase for non-cyclic polarization changes
Visser, T. D., van Dijk, T., Schouten, H. F., & Ubachs, W. (2010) · Optics Express · doi:10.1364/oe.18.010796 · Cited by 40 · see citing works
Q -Plates: From Optical Vortices to Optical Skyrmions
Hakobyan, V., & Brasselet, E. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.083802 · Cited by 39 · see citing works
Wave plates and the Pancharatnam phase
Courtial, J. (1999) · Optics Communications · doi:10.1016/s0030-4018(99)00473-3 · Cited by 38 · see citing works
Mass-polariton theory of sharing the total angular momentum of light between the field and matter
Partanen, M., & Tulkki, J. (2018) · Physical Review A · doi:10.1103/physreva.98.033813 · Cited by 38 · see citing works
Exploring Energy-Time Entanglement Using Geometric Phase
Jha, A. K., Malik, M., & Boyd, R. W. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.180405 · Cited by 38 · see citing works
Achromatic orbital angular momentum generator
Bouchard, F., Mand, H., Mirhosseini, M., Karimi, E., & Boyd, R. W. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/12/123006 · Cited by 37 · see citing works
Spin-to-Orbital Angular Momentum Mapping of Polychromatic Light
Rafayelyan, M. S., & Brasselet, E. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.213903 · Cited by 37 · see citing works
Phase space correspondence between classical optics and quantum mechanics
Dragoman, D. (2002) · Progress in optics · doi:10.1016/s0079-6638(02)80029-4 · Cited by 37 · see citing works
Methodologies for On‐Demand Dispersion Engineering of Waves in Metasurfaces
Pu, M., Guo, Y., Ma, X., Li, X., & Luo, X. (2019) · Advanced Optical Materials · doi:10.1002/adom.201801376 · Cited by 35 · see citing works
Observation of Nonadditive Mixed-State Phases with Polarized Neutrons
Klepp, J., Sponar, S., Filipp, S., Lettner, M., Badurek, G., & Hasegawa, Y. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.150404 · Cited by 33 · see citing works
Polarization converters based on axially symmetric twisted nematic liquid crystal
Ko, S.-W., Ting, C., Fuh, A. Y. ‐., & Lin, T. (2010) · Optics Express · doi:10.1364/oe.18.003601 · Cited by 33 · see citing works
Unitary spin-orbit optical-skyrmionic wave plates
Hakobyan, V., Shen, Y., & Brasselet, E. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.22.054038 · Cited by 31 · see citing works
Diodelike Spin-Orbit Interactions of Light in Chiral Metasurfaces
Jing, L., Wang, Z., Yang, Y., Shen, L., Zheng, B., Gao, F., Wang, H., Li, E., & Chen, H. (2018) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2018.2874705 · Cited by 31 · see citing works
Measurements of Pancharatnam–Berry phase in mode transformations on hybrid-order Poincaré sphere
Liu, Y., Liu, Z., Zhou, J., Ling, X., Shu, W., Luo, H., & Wen, S. (2017) · Optics Letters · doi:10.1364/ol.42.003447 · Cited by 30 · see citing works
Direct probing of phonon mode specific electron–phonon scatterings in two-dimensional semiconductor transition metal dichalcogenides
Lee, D. H., Choi, S., Kim, H., Kim, Y., & Jung, S. (2021) · Nature Communications · doi:10.1038/s41467-021-24875-2 · Cited by 30 · see citing works
Regulating Circularly Polarized Luminescence in Zero-Dimensional Chiral Hybrid Metal Halides
Liu, Y., Wei, Y., & Quan, Z. (2025) · Accounts of Materials Research · doi:10.1021/accountsmr.5c00033 · Cited by 31 · see citing works
Self-Trapping of Light Using the Pancharatnam-Berry Phase
Jisha, C. P., Alberucci, A., Beeckman, J., & Nolte, S. (2019) · Physical Review X · doi:10.1103/physrevx.9.021051 · Cited by 28 · see citing works
Geometric phase: two triangles on the Poincaré sphere
Kurzynowski, P., Woźniak, W. A., & Szarycz, M. (2011) · Journal of the Optical Society of America A · doi:10.1364/josaa.28.000475 · Cited by 28 · see citing works
Modification of the Doppler effect due to the helicity–rotation coupling
Mashhoon, B. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)01537-2 · Cited by 26 · see citing works
Geometric phase as a determinant of a qubit– environment coupling
Dajka, J., Łuczka, J., & Peter Hänggi, A. (2010) · Quantum Information Processing · doi:10.1007/s11128-010-0178-x · Cited by 27 · see citing works
The orbital angular momentum of light: Genesis and evolution of the concept and of the associated photonic technology
Piccirillo, B., Slussarenko, S., Marrucci, L., & Santamato, E. (2013) · Griffith Research Online · doi:10.1393/ncr/i2013-10094-y · Cited by 28 · see citing works
Geometric interpretation of the Pancharatnam connection and non-cyclic polarization changes
van Dijk, T., Schouten, H. F., & Visser, T. D. (2010) · Journal of the Optical Society of America A · doi:10.1364/josaa.27.001972 · Cited by 26 · see citing works
Measurement of the Pancharatnam–Berry phase in two-beam interference
Hannonen, A., Partanen, H., Leinonen, A., Heikkinen, J. I., Hakala, T. K., Friberg, A. T., & Setälä, T. (2020) · Optica · doi:10.1364/optica.401993 · Cited by 26 · see citing works
Liquid crystal spatial-mode converters for the orbital angular momentum of light
Slussarenko, S., Piccirillo, B., Chigrinov, V. G., Marrucci, L., & Santamato, E. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/2/025406 · Cited by 24 · see citing works
Geometric phase for N -level systems through unitary integration
Uskov, D. B., & Rau, A. R. P. (2006) · Physical Review A · doi:10.1103/physreva.74.030304 · Cited by 22 · see citing works
Dynamic Photonic Materials Based on Liquid Crystals
Sio, L. D., Tabiryan, N. V., Bunning, T. J., Kimball, B. R., & Umeton, C. P. (2013) · Progress in optics · doi:10.1016/b978-0-444-62644-8.00001-7 · Cited by 23 · see citing works
de Sitter group as a symmetry for optical decoherence
Başkal, S., & Kim, Y. S. (2006) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/39/24/014 · Cited by 22 · see citing works
Helical mode conversion using conical reflector
Kobayashi, H., Nonaka, K., & Kitano, M. (2012) · Optics Express · doi:10.1364/oe.20.014064 · Cited by 23 · see citing works
Pancharatnam–Berry phase shaping for control of the transverse enhancement of focusing
Man, Z., Dou, X., & Fu, S. (2019) · Optics Letters · doi:10.1364/ol.44.000427 · Cited by 22 · see citing works
Dynamics of Localized Structures in Vectorial Waves
Hernández-Garcı́a, E., Hoyuelos, M., Colet, P., & Miguel, M. S. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.744 · Cited by 22 · see citing works
Achromatic orbital angular momentum generator
Bouchard, F., Harjaspreet, M., Mirhosseini, M., Karimi, E., & Boyd, R. W. (2014) · Cited by 21 · see citing works
Flat polarization-controlled cylindrical lens based on the Pancharatnam–Berry geometric phase
Piccirillo, B., Picardi, M. F., Marrucci, L., & Santamato, E. (2017) · European Journal of Physics · doi:10.1088/1361-6404/aa5e11 · Cited by 22 · see citing works
Spin-orbit interactions of light in isotropic media
Bliokh, K. Y., Aiello, A., & Alonso, M. A. (2012) · The Angular Momentum of Light · doi:10.1017/cbo9780511795213.009 · Cited by 20 · see citing works
Quasi binormal Schrodinger evolution of wave polarizatıon field of light wıth repulsive type
Körpınar, T., Demi̇rkol, R. C., Khalil, E. M., Korpinar, Z. S., & Bǎleanu, D. (2021) · Physica Scripta · doi:10.1088/1402-4896/abe069 · Cited by 20 · see citing works
Geometric-phase intraocular lenses with multifocality
Lee, S., Park, G., Kim, S. H., Ryu, Y., Yoon, J. W., Hwang, H. S., Song, I. S., Lee, C. S., & Song, S. H. (2022) · Light Science & Applications · doi:10.1038/s41377-022-01016-y · Cited by 20 · see citing works

Authors: Bhandari, R.
Affiliations: Raman Research Institute (IN)
Corresponding author: Bhandari, R
ORCID: Bhandari, R
Venue: Physics Reports
Publisher: Elsevier BV
Published: 1997-03
Volume: 281
Issue: 1
Pages: 1-64
ISSN: 0370-1573 (ISSN-L)
DOI: 10.1016/s0370-1573(96)00029-4
OpenAlex: W2067058008
Cited by: 298
References: 81
Citations by year: 2026: 13 · 2025: 17 · 2024: 10 · 2023: 19 · 2022: 21 · 2021: 15 · 2020: 9 · 2019: 28 · 2018: 15 · 2017: 13 · 2016: 11 · 2015: 6 · 2014: 6 · 2013: 11 · 2012: 9
FWCI: 5.25
Type: journal article
Language: en
Open access: closed
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations: Physics Reports (publishedVersion)
Topics: Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
Keywords: polarized light, topological phases, birefringence, dichroism, depolarization, anholonomy, Berry phase, SO(3), SU(2), two-state quantum systems, decoherence, interferometric sensors, spatial light modulator, phase shifters, antenna arrays, polarization singularities

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