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Structure of the Maxwell equations in the region of linear coupling of electromagnetic waves in weakly inhomogeneous anisotropic and gyrotropic media

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Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

Linear coupling of electromagnetic waves in weakly inhomogeneous non-one-dimensional media is considered as a manifestation of the polarization degeneracy of the Maxwell equations. It is shown that the presence of two polarization-degenerate normal waves imposes strong constraints on the dielectric tensor components near the interaction region. As a result, the possible types of linear wave coupling and the corresponding wave equations admit a universal classification, which is independent of the way in which the linear medium is modeled.

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Fulltext is also available at DOI: 10.3367/UFNe.0182.201202d.0157
PACS: 41.20.Jb, 42.25.Bs, 52.35.Hr (all)
DOI: 10.3367/UFNe.0182.201202d.0157
URL: https://ufn.ru/en/articles/2012/2/c/
000304186400003
2-s2.0-84862079305
2012PhyU...55..147S
Citation: Shalashov A G, Gospodchikov E D "Structure of the Maxwell equations in the region of linear coupling of electromagnetic waves in weakly inhomogeneous anisotropic and gyrotropic media" Phys. Usp. 55 147–160 (2012)
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Received: 28th, December 2010, revised: 4th, July 2011, 15th, July 2011

Оригинал: Шалашов А Г, Господчиков Е Д «О структуре уравнений Максвелла в области линейного взаимодействия электромагнитных волн в плавнонеоднородных анизотропных и гиротропных средах» УФН 182 157–171 (2012); DOI: 10.3367/UFNr.0182.201202d.0157

References (37) Cited by (8) Similar articles (20) ↓

  1. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic mediaPhys. Usp. 54 145–165 (2011)
  2. A.G. Shalashov, E.D. Gospodchikov “'Anomalous' dissipation of a paraxial wave beam propagating along an absorbing planePhys. Usp. 65 1303–1312 (2022)
  3. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic wavesPhys. Usp. 51 355–361 (2008)
  4. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction mediumPhys. Usp. 52 649–654 (2009)
  5. A.D. Pryamikov, A.S. Biriukov “Excitation of cyclical Sommerfeld waves and Wood’s anomalies in plane wave scattering from a dielectric cylinder at oblique incidencePhys. Usp. 56 813–822 (2013)
  6. A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiationPhys. Usp. 58 819–827 (2015)
  7. E.H. Lock “Angular beam width of a slit-diffracted wave with noncollinear group and phase velocitiesPhys. Usp. 55 1239–1254 (2012)
  8. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structuresPhys. Usp. 54 281–290 (2011)
  9. V.P. Makarov, A.A. Rukhadze “Material equations and Maxwell equations for isotropic media; waves with negative group velocity and negative values of ε (ω) and μ (ω)Phys. Usp. 62 487–495 (2019)
  10. K.Yu. Bliokh, Yu.P. Bliokh “What are the left-handed media and what is interesting about them?Phys. Usp. 47 393–400 (2004)
  11. B.M. Bolotovskii, S.N. Stolyarov “Reflection of light from a moving mirror and related problemsSov. Phys. Usp. 32 813–827 (1989)
  12. V.L. Ginzburg “The laws of conservation of energy and momentum in emission of electromagnetic waves (photons) in a medium and the energy-momentum tensor in macroscopic electrodynamicsSov. Phys. Usp. 16 434–439 (1973)
  13. V.I. Alshits, V.N. Lyubimov “Acoustics and optics of absorptive crystals: a universal formalism for topological effectsPhys. Usp. 56 1021–1037 (2013)
  14. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting platePhys. Usp. 53 595–609 (2010)
  15. I.N. Toptygin “Quantum description of a field in macroscopic electrodynamics and photon properties in transparent mediaPhys. Usp. 60 935–947 (2017)
  16. Yu.A. Spirichev “On choosing the energy—momentum tensor in electrodynamics and on the Abraham forcePhys. Usp. 61 303–306 (2018)
  17. A.P. Vinogradov “On the form of constitutive equations in electrodynamicsPhys. Usp. 45 331–338 (2002)
  18. V.L. Kraĭnov, L.P. Presnyakov “Phase functions for potential scattering in opticsPhys. Usp. 36 (7) 621–627 (1993)
  19. K.S. Vul’fson “Angular momentum of electromagnetic wavesSov. Phys. Usp. 30 724–728 (1987)
  20. V.V. Maier “Scanning indicator for demonstrations of centimeter sound and electromagnetic wavesSov. Phys. Usp. 17 794–794 (1975)

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