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On the form of constitutive equations in electrodynamics


Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation

A comparative analysis of various forms of the Maxwell equations for condensed matter is presented. It is shown that the so-called Casimir form contains enough information to solve any electromagnetic problem. The Landau-Lifshitz form intended for describing media with spatial dispersion requires an additional constitutive equation for the surface current, which does not set an additional boundary condition but acts as a replacement of usual Maxwell’s continuity conditions for tangential field components.

PACS: 42.25.Bs, 42.25.Gy, 78.20.−e (all)
DOI: 10.1070/PU2002v045n03ABEH001079
URL: https://ufn.ru/en/articles/2002/3/d/
Citation: Vinogradov A P "On the form of constitutive equations in electrodynamics" Phys. Usp. 45 331–338 (2002)
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Оригинал: Виноградов А П «К вопросу о форме материальных уравнений в электродинамике» УФН 172 363–370 (2002); DOI: 10.3367/UFNr.0172.200203h.0363

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  1. Davidovich M V J. Exp. Theor. Phys. 132 159 (2021)
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  3. Guo T, Zheng X, Palffy-Muhoray P Molecular Crystals And Liquid Crystals 713 65 (2020)
  4. Skaar J, Hågenvik H O, Dirdal Ch A Phys. Rev. B 99 (6) (2019)
  5. Kamenetskii E O Journal Of Modern Optics 66 909 (2019)
  6. Davidovich M V J. Exp. Theor. Phys. 127 1 (2018)
  7. Davidovich M V Jetp Lett. 108 279 (2018)
  8. Dirdal Ch A, Skaar J Eur. Phys. J. B 91 (6) (2018)
  9. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  10. Zhong Sh, Moore J E, Souza I Phys. Rev. Lett. 116 (7) (2016)
  11. Savchenko A S, Tarasenko A S et al Jetp Lett. 103 522 (2016)
  12. Zhong Sh, Orenstein J, Moore J E Phys. Rev. Lett. 115 (11) (2015)
  13. Kapitulnik A Physica B: Condensed Matter 460 151 (2015)
  14. Electromagnetic Phenomena in Matter (2015) p. 689
  15. Starostenko V I, Shuman V N et al Izv., Phys. Solid Earth 49 144 (2013)
  16. Smolyakov A, Fourkal E Phys. Rev. A 87 (1) (2013)
  17. Chipouline A, Simovski C, Tretyakov S Metamaterials 6 77 (2012)
  18. Vinogradov A P, Merzlikin A M Metamaterials 6 121 (2012)
  19. Tsukerman I Advanced Photonics Congress, (2012) p. IM3B.2
  20. Tsukerman I J. Opt. Soc. Am. B 28 2956 (2011)
  21. Vinogradov A P, Ignatov A I et al Opt. Express 19 6699 (2011)
  22. Tsukerman I J. Opt. Soc. Am. B 28 577 (2011)
  23. Davidovich M V Uspekhi Fizicheskikh Nauk 180 623 (2010)
  24. Furs A N, Barkovsky L M J. Opt. 12 015105 (2010)
  25. Merlin R PNAS 106 1693 (2009)
  26. Duplij S, Goldin G A, Shtelen V M J. Phys. A: Math. Theor. 41 304007 (2008)
  27. Agranovich V M, Gartstein Yu N Springer Series In Materials Science Vol. Physics of Negative Refraction and Negative Index MaterialsSpatial Dispersion, Polaritons, and Negative Refraction98 Chapter 4 (2007) p. 95
  28. Perel’man M E Physics Letters A 370 528 (2007)
  29. Simovski C R J. Commun. Technol. Electron. 52 953 (2007)
  30. Agranovich V M, Gartstein Yu N, Zakhidov A A Phys. Rev. B 73 (4) (2006)
  31. Bornatici M, Maj O Phys. Scr. 73 160 (2006)
  32. Agranovich V M, Gartstein Yu N Uspekhi Fizicheskikh Nauk 176 1051 (2006)
  33. Gevorgyan A H, Grigoryan A A et al Optik 117 309 (2006)
  34. Vardanyan G A, Gevorgyan A A Opt. Spectrosc. 99 985 (2005)

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