RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2012

 / 

February

←  →

Methodological notes


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

,
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.

Fulltext pdf (291 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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. Budden K G Radio Waves In The Ionosphere (Cambridge: Univ. Press, 1961)
  2. Ginzburg V L Rasprostranenie Elektromagnitnykh Voln v Plazme (M.: Nauka, 1967); Ginzburg V L The Propagation Of Electromagnetic Waves In Plasmas (Oxford: Pergamon Press, 1970)
  3. Golant V E, Piliya A D Usp. Fiz. Nauk 104 413 (1971); Golant V E, Piliya A D Sov. Phys. Usp. 14 413 (1972)
  4. Erokhin N S, Moiseev S S Voprosy Teorii Plazmy Vyp. 7 (Pod red. M A Leontovicha) (M.: Atomizdat, 1973) p. 146; Moiseev S S Erokhin N S, Moiseev S S, In Reviews Of Plasma Physics Vol. 7 (Ed. M A Leontovich) (New York: Consultants Bureau, 1979) p. 181
  5. Zheleznyakov V V Elektromagnitnye Volny v Kosmicheskoi Plazme (M.: Nauka, 1977)
  6. Kravtsov Yu A, Orlov Yu I Geometricheskaya Optika Neodnorodnykh Sred (M.: Nauka, 1980); Orlov Yu I Kravtsov Yu A, Orlov Yu I Geometrical Optics Of Inhomogeneous Media (Berlin: Springer-Verlag, 1990)
  7. Erokhin N S i dr. Neravnovesnye i Rezonansnye Protsessy v Plazmennoi Radiofizike (M.: Nauka, 1982)
  8. Zheleznyakov V V, Kocharovskii V V, Kocharovskii Vl V Usp. Fiz. Nauk 141 257 (1983); Zheleznyakov V V, Kocharovskii V V, Kocharovskii Vl V Sov. Phys. Usp. 26 877 (1983)
  9. Cairns R A, Lashmore-Davies C N Phys. Fluids 26 1268 (1983)
  10. Kaufman A N, Friedland L Phys. Lett. A 123 387 (1987)
  11. Friedland L, Kaufman A N Phys. Fluids 30 3050 (1987)
  12. Friedland L, Goldner G, Kaufman A N Phys. Rev. Lett. 58 1392 (1987)
  13. Mjølhus E J. Plasma Phys. 31 7 (1984)
  14. Tokman M D Fizika Plazmy 11 1205 (1985); Tokman M D Sov. J. Plasma Phys. 11 689 (1985)
  15. Timofeev A V Fizika Plazmy 26 874 (2000); Timofeev A V Plasma Phys. Rep. 26 820 (2000)
  16. Landau L D, Lifshits E M, Pitaevskii L P Elektrodinamika Sploshnykh Sred (M.: Fizmatlit, 2005); Landau L D, Lifshitz E M, Pitaevskii L P Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  17. Piliya A D, Fedorov V I Zh. Eksp. Teor. Fiz. 60 389 (1971); Piliya A D, Fedorov V I Sov. Phys. JETP 33 210 (1971)
  18. Weitzner H Phys. Plasmas 11 866 (2004)
  19. Gospodchikov E D, Shalashov A G, Suvorov E V Plasma Phys. Control. Fusion 48 869 (2006)
  20. Popov A Yu, Piliya A D Fizika Plazmy 33 128 (2007); Popov A Yu, Piliya A D Plasma Phys. Rep. 33 109 (2007)
  21. Shalashov A G, Gospodchikov E D Phys. Rev. E 78 065602(R) (2008)
  22. Littlejohn R G, Flynn W G Chaos 2 149 (1992)
  23. Tracy E R, Kaufman A N Phys. Rev. E 48 2196 (1993)
  24. Krasniak Yu, Tracy E R Phys. Lett. A 248 235 (1998)
  25. Tracy E R, Kaufman A N Phys. Rev. Lett. 91 130402 (2003)
  26. Tracy E R, Kaufman A N, Brizard A J Phys. Plasmas 10 2147 (2003)
  27. Kaufman A N, Tracy E R, Brizard A J Phys. Plasmas 12 022101 (2005)
  28. Nassiri-Mofakham N, Sabzevari B S J. Plasma Phys. 72 71 (2006)
  29. Tracy E R, Kaufman A N, Jaun A Phys. Plasmas 14 082102 (2007)
  30. Stix T H The Theory Of Plasma Waves (New York: McGraw-Hill, 1962); Stiks T Teoriya Plazmennykh Voln (M.: Atomizdat, 1965)
  31. Shalashov A G, Gospodchikov E D, Suvorov E V Zh. Eksp. Teor. Fiz. 130 554 (2006); Shalashov A G, Gospodchikov E D, Suvorov E V JETP 103 480 (2006)
  32. Popov A Yu Plasma Phys. Control. Fusion 49 1599 (2007)
  33. Gospodchikov E D, Shalashov A G, Suvorov E V Fusion Sci. Technol. 53 261 (2008)
  34. Shalashov A G, Gospodchikov E D Plasma Phys. Control. Fusion 50 045005 (2008)
  35. Irzak M A, Popov A Yu Plasma Phys. Control. Fusion 50 025003 (2008)
  36. Popov A Yu Plasma Phys. Control. Fusion 52 035008 (2010)
  37. Shalashov A G, Gospodchikov E D Plasma Phys. Control. Fusion 52 115001 (2010)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions