Stokes-vector evolution in a weakly anisotropic inhomogeneous medium
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The equation for evolution of the four-component Stokes vector in weakly anisotropic and smoothly inhomogeneous media is derived on the basis of a quasi-isotropic approximation of the geometrical optics method, which provides the consequent asymptotic solution of Maxwell's equations. Our equation generalizes previous results obtained for the normal propagation of electromagnetic waves in stratified media. It is valid for curvilinear rays with torsion and is capable of describing normal mode conversion in inhomogeneous media. Remarkably, evolution of the four-component Stokes vector is described by the Bargmann-Michel-Telegdi equation for relativistic spin precession, whereas the equation for the three-component Stokes vector resembles the Landau-Lifshitz equation describing spin precession in ferromagnetic systems. The general theory is applied for analysis of polarization evolution in a magnetized plasma. We also emphasize fundamental features of the non-Abelian polarization evolution in anisotropic inhomogeneous media and illustrate them by simple examples.
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A number of effects related to the spin-orbit coupling of light take place in multimode optical fibers.
“A number of effects related to the spin-orbit coupling of light take place in multimode optical fibers [24,120 -123,141 -144].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [143]
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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
Principles of Magnetic Resonance
Slichter, C. P. (1990) · Springer Series in Solid-State Sciences · doi:10.1007/978-3-662-09441-9 · Cited by 5,520 · see citing works
Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
Bargmann, V., Michel, L., & Telegdi, V. L. (1959) · Physical Review Letters · doi:10.1103/physrevlett.2.435 · Cited by 1,201 · see citing works
Lerner, R. G., & Trigg, G. L. (1991) · Cited by 1,153 · see citing works
Budden, K. G., & Chang, H. (1962) · Physics Today · doi:10.1063/1.3058017 · Cited by 1,066 · see citing works
Červený, V. (2001) · Cited by 953 · see citing works
Geometrical Optics of Inhomogeneous Media
Kravtsov, Y. A., & Orlov, Y. I. (1990) · Springer Series on Wave Phenomena · doi:10.1007/978-3-642-84031-9 · Cited by 903 · see citing works
Self-citationPropagation of Electromagnetic Waves in Plasma
Ginzburg, V. L., Sadowski, W. L., Gallik, D. M., et al. (1962) · Physics Today · doi:10.1063/1.3057811 · Cited by 560 · see citing works
Azzam, R. M. A. (1978) · Journal of the Optical Society of America · doi:10.1364/josa.68.001756 · Cited by 278 · see citing works
Group theory and polarisation algebra
Cloude, S. R. (1986) · Optik · Cited by 265 · see citing works
Electromagnetic Processes in Dispersive Media
Melrose, D. B., & McPhedran, R. C. (1991) · Cambridge University Press eBooks · doi:10.1017/cbo9780511600036 · Cited by 232 · see citing works
Short-wavelength diffraction theory : asymptotic methods
Babich, V. M., & Buldyrev, V. S. (1991) · Springer eBooks · Cited by 205 · see citing works
Relationship between Jones and Mueller matrices for random media
Kim, K., Mandeļ, L., & Wolf, E. (1987) · Journal of the Optical Society of America A · doi:10.1364/josaa.4.000433 · Cited by 182 · see citing works
A review of plasma polarimetry - theory and methods
Segre, S. E. (1999) · Plasma Physics and Controlled Fusion · doi:10.1088/0741-3335/41/2/001 · Cited by 159 · see citing works
A Semiclassical Approach to the Dirac Equation
Bolte, J., & Keppeler, S. (1999) · Annals of Physics · doi:10.1006/aphy.1999.5912 · Cited by 135 · see citing works
The connection between Mueller and Jones matrices of polarization optics
Simon, R. (1982) · Optics Communications · doi:10.1016/0030-4018(82)90234-6 · Cited by 126 · see citing works
Propagation of Electromagnetic Waves
Bremmer, H. (1958) · Handbuch der Physik · doi:10.1007/978-3-642-45895-8_4 · Cited by 117 · see citing works
Barakat, R. G. (1981) · Optics Communications · doi:10.1016/0030-4018(81)90313-8 · Cited by 116 · see citing works
Topological phases in quantum mechanics and polarization optics
Vinitskiĭ, S. I., Derbov, V. L., Dubovik, V. M., Markovski, B. L., & Stepanovskiĭ, Y. P. (1990) · Soviet Physics Uspekhi · doi:10.1070/pu1990v033n06abeh002598 · Cited by 101 · see citing works
Topological phases in quantum mechanics and polarization optics
Vinitskii, S. I., Derbov, V. L., Dubovik, V. M., Markovski, B. L., & Stepanovskii, Y. P. (1990) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0160.199006a.0001 · Cited by 68 · see citing works
Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
Bliokh, K. Y., Frolov, D. Y., & Kravtsov, Y. A. (2007) · Physical Review A · doi:10.1103/physreva.75.053821 · Cited by 67 · see citing works
Self-citationMaxwell-Schrödinger Equation for Polarized Light and Evolution of the Stokes Parameters
Kuratsuji, H., & Kakigi, S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.1888 · Cited by 65 · see citing works
Kravtsov, Y. A., Naida, O. N., & Fuki, A. A. (1996) · Physics-Uspekhi · doi:10.1070/pu1996v039n02abeh000131 · Cited by 57 · see citing works
Self-citationSemiclassical Limit of the Dirac Equation and Spin Precession
Spohn, H. (2000) · Annals of Physics · doi:10.1006/aphy.2000.6039 · Cited by 54 · see citing works
Geometrical Optics of Weakly Anisotropic Media
Fuki, A. A., Kravtsov, Y. A., Naǐda, O. N., et al. (2019) · CRC Press eBooks · doi:10.1201/9780203753415 · Cited by 53 · see citing works
Self-citationLinear coupling of electromagnetic waves in inhomogeneous weakly-ionized media
Zheleznyakov, V. V., Kocharovskiĭ, V. V., & Kocharovskii, V. V. (1983) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0141.198310c.0257 · Cited by 46 · see citing works
Semiclassical limit of the Dirac equation and spin precessionPreprint
Spohn, H. E. (1999) · Cited by 42 · see citing works
Berczyński, P., Bliokh, K. Y., Kravtsov, Y. A., et al. (2006) · Journal of the Optical Society of America A · doi:10.1364/josaa.23.001442 · Cited by 36 · see citing works
Self-citationCzyż, Z., BIEG, B., & Kravtsov, Y. A. (2007) · Physics Letters A · doi:10.1016/j.physleta.2007.03.055 · Cited by 36 · see citing works
Self-citationSegre, S. E. (2001) · Journal of the Optical Society of America A · doi:10.1364/josaa.18.002601 · Cited by 31 · see citing works
Unified formalism for polarization optics with application to polarimetry on a twisted optical fiber
Brown, C. S., & Bak, A. E. (1995) · Optical Engineering · doi:10.1117/12.202080 · Cited by 28 · see citing works
Polarization optics and bilinear representation of the Lorentz group
Han, D., Kim, Y. S., & Noz, M. E. (1996) · Physics Letters A · doi:10.1016/0375-9601(96)00424-0 · Cited by 24 · see citing works
Segrè, S. E., & Zanza, V. (2006) · Plasma Physics and Controlled Fusion · doi:10.1088/0741-3335/48/3/001 · Cited by 24 · see citing works
Segrè, S. E. (2000) · Journal of the Optical Society of America A · doi:10.1364/josaa.17.000095 · Cited by 22 · see citing works
Evolution of the Stokes parameters in optically anisotropic media
Brosseau, C. (1995) · Optics Letters · doi:10.1364/ol.20.001221 · Cited by 18 · see citing works
Segrè, S. E. (2003) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/36/22/006 · Cited by 14 · see citing works
Novel Aspects of Evolution of the Stokes Parameters for an Electromagnetic Wave in Anisotropic Media
Botet, R. S., Kuratsuji, H., & Seto, R. (2006) · Progress of Theoretical Physics · doi:10.1143/ptp.116.285 · Cited by 9 · see citing works
Segre, S. E. (2000) · Journal of the Optical Society of America A · doi:10.1364/josaa.17.001682 · Cited by 8 · see citing works
On the use of polarization modulation in combined interferometry and polarimetry
Segrè, S. E. (1998) · Plasma Physics and Controlled Fusion · doi:10.1088/0741-3335/40/1/009 · Cited by 7 · see citing works
Effect of 300 K ambient background on C–V characteristics of HgCdTe MIS structures
Bhan, R. K., & Dhar, V. (2000) · Infrared Physics & Technology · doi:10.1016/s1350-4495(99)00059-6 · Cited by 5 · see citing works
Manifestation of the cotton-mouton effect in the ionosphere plasma
Kravtsov, Y. A., & Naǐda, O. N. (2001) · Advances in Space Research · doi:10.1016/s0273-1177(01)00161-2 · Cited by 1 · see citing works
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Research works printed but not linked: 2
- [19]19. S.E. Segre, 'Comparison between two alternative approaches for the analysis of polarization evolution of EM waves in a nonuniform, fully anisotropic medium: a magnetized plasma', Preprint RT/ERG/FUS/2001/13, ENEA, Frascati, Italy (2001).
- [34]34. V.B. Berestetskii, E.M. Lifshits, and L.P. Pitaevskii, Quantum Electrodynamics (Pergamon, Oxford, 1982).
Cited by
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Goos–Hänchen and Imbert–Fedorov beam shifts: an overview
Bliokh, K. Y., & Aiello, A. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/1/014001 · Cited by 639 · see citing works
Self-citationSpin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems
Bliokh, K. Y., Ostrovskaya, E. A., Alonso, M. A., Rodríguez-Herrera, O. G., Lara, D., & Dainty, C. (2011) · Optics Express · doi:10.1364/oe.19.026132 · Cited by 294 · see citing works
Self-citationGeometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
Self-citationSpin-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
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- Authors
- Kravtsov, Y. A., Bieg, B., & Bliokh, K. Y.
- Affiliations
- Maritime University of Szczecin (PL)
- Institute of Radio Astronomy (UA)
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2007-09-26
- Volume
- 24
- Issue
- 10
- Pages
- 3388
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2058921597
- Cited by
- 40
- References
- 41
- Citations by year
- 2024: 1 · 2020: 3 · 2019: 1 · 2018: 1 · 2017: 3 · 2016: 2 · 2015: 3 · 2014: 2 · 2013: 3 · 2012: 3
- FWCI
- 2.45
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Keywords
- Stokes vector, polarization evolution, weakly anisotropic media, heterogeneous media, geometrical optics, torsion, Bargmann-Michel-Telegdi equation, Landau-Lifshitz equation, magnetized plasma, layered media
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