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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 (9) Similar articles (20) ↓

  1. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media” Phys. Usp. 54 145–165 (2011)
  2. A.G. Shalashov, E.D. Gospodchikov “'Anomalous' dissipation of a paraxial wave beam propagating along an absorbing plane” Phys. Usp. 65 1303–1312 (2022)
  3. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic waves” Phys. Usp. 51 355–361 (2008)
  4. 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 incidence” Phys. Usp. 56 813–822 (2013)
  5. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium” Phys. Usp. 52 649–654 (2009)
  6. A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiation” Phys. Usp. 58 819–827 (2015)
  7. F.V. Ignaovich, V.K. Ignatovich “Optics of anisotropic media” Phys. Usp. 55 709–720 (2012)
  8. 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)
  9. A.P. Vinogradov “On the form of constitutive equations in electrodynamics” Phys. Usp. 45 331–338 (2002)
  10. I.N. Toptygin, G.D. Fleishman “Eigenmode generation by a given current in anisotropic and gyrotropic media” Phys. Usp. 51 363–374 (2008)
  11. E.H. Lock, S.V. Gerus, A.V. Sadovnikov “Superresolution effect and resolvability criterion for the waves in anisotropic media” Phys. Usp. 69 375–391 (2026)
  12. Kraĭnov V L, L.P. Presnyakov “Phase functions for potential scattering in optics” Phys. Usp. 36 (7) 621–627 (1993)
  13. I.V. Sokolov “The angular momentum of an electromagnetic wave, the Sadovskii effect, and the generation of magnetic fields in a plasma” Sov. Phys. Usp. 34 (10) 925–932 (1991)
  14. E.H. Lock “Angular beam width of a slit-diffracted wave with noncollinear group and phase velocities” Phys. Usp. 55 1239–1254 (2012)
  15. V.I. Alshits, V.N. Lyubimov “Acoustics and optics of absorptive crystals: a universal formalism for topological effects” Phys. Usp. 56 1021–1037 (2013)
  16. I.N. Toptygin “Quantum description of a field in macroscopic electrodynamics and photon properties in transparent media” Phys. Usp. 60 935–947 (2017)
  17. Yu.A. Spirichev “On choosing the energy—momentum tensor in electrodynamics and on the Abraham force” Phys. Usp. 61 303–306 (2018)
  18. V.G. Niz’ev “Dipole-wave theory of electromagnetic diffraction” Phys. Usp. 45 553–559 (2002)
  19. E.H. Lock, S.V. Gerus “Electromagnetic waves in a tangentially magnetized bi-gyrotropic layer (with an example of analysis of spin wave characteristics in a ferrite plate)” Phys. Usp. 67 1257–1270 (2024)
  20. A.A. Kolokolov, G.V. Skrotskii “Interference of reactive components of an electromagnetic field” Sov. Phys. Usp. 35 (12) 1089–1093 (1992)

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