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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.

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Fulltext is also available at DOI: 10.1070/PU2002v045n03ABEH001079
PACS: 42.25.Bs, 42.25.Gy, 78.20.−e (all)
DOI: 10.1070/PU2002v045n03ABEH001079
URL: https://ufn.ru/en/articles/2002/3/d/
000176867200004
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

References (39) ↓ Cited by (39) Similar articles (20)

  1. Barron L D Molecular Light Scattering and Optical Activity (Cambridge: Cambridge Univ. Press, 1982)
  2. Graham E B, Pierrus J, Raab R E J. Phys. B 25 4673 (1992)
  3. Raab R E, Cloete J H J. Electromagnet. Waves Appl. 8 1073 (1994)
  4. Graham E B, Raab R E J. Opt. Soc. Am. A 13 1239 (1996)
  5. Landau L D, Lifshitz E M Elektrodinamika Sploshnykh Sred (Electrodynamics of Continuous Media, Moscow: Nauka, 1992) [Translated into English (Oxford: Pergamon Press, 1984)]
  6. Kukolev I A, Lagarkov A N, Matitsin S M, Rosanov K N, Vinogradov A P, in Defect Engineering in Semiconductor Growth, Processing and Device Technology: Proc. of MRS Spring Meeting Symp., San Francisco, 1992 (MRS Symp. Proc., Vol. 262, Eds S Ashok et al., Pittsburgh, Pa.: Materials Research Soc., 1992) p. L6.14
  7. Lewin L Theory of Waveguides: Techniques for the Solution of Waveguide Problems (London: Newnes-Butterworths, 1975) [Translated into Russian (Moscow: Radio i Svyaz’, 1981)]
  8. Vinogradov A P, Panina L V, Sarychev A K Dokl. Akad. Nauk SSSR 234 530 (1989) [Sov. Phys. Dokl. 34 530 (1989)]
  9. Vinogradov A P, Aivazyan A V Phys. Rev. E 60 987 (1999)
  10. Silin V P, Rukhadze A A Elektromagnitnye Svoîstva Plazmy i Plazmopodobnykh Sred (Electromagnetic Properties of Plasmas and Plasma-Like Media, Moscow: Gosatomizdat, 1961)
  11. Agranovich V M, Ginzburg V L Kristallooptika s Uchetom Prostranstvennoî Dispersii i Teoriya Eksitonov (Dispersion-Allowed Crystal Optics and the Theory of Excitons) 2nd ed. (Moscow: Nauka, 1979) [Translated into English: Crystal Optics with Spatial Dispersion, and Excitons 2nd ed. (Berlin: Springer-Verlag, 1984)]
  12. Jackson J D Classical Electrodynamics (New York: Wiley, 1962) [Translated into Russian (Moscow: Mir, 1965)]
  13. Sipe J E, Van Kranendonk J Phys. Rev. A 9 1806 (1974)
  14. Sipe J E, Van Kranendonk J Can. J. Phys. 53 2095 (1975)
  15. Russakoff G Am. J. Phys. 38 1188 (1970)
  16. Turov E A Material’nye Uravneniya Elektrodinamiki (Constitutive Equations of Electrodynamics, Moscow: Nauka, 1983)
  17. Schlagheck U Z. Phys. 258 223 (1973)
  18. Lindhard J Det. Kgl. Danske Videnskab. Selskab. Dan. Mat. Fys. Medd. 28 113 (1954)
  19. Lagarkov A N, Kisel V N Dokl. Ross. Akad. Nauk 377 1 (2001) [Phys. Dokl. 46 163 (2001)]
  20. Ignatov A M, Rukhadze A A Usp. Fiz. Nauk 153 171 (1987) [Sov. Phys. Usp. 30 789 (1987)]
  21. Gurevich A G, Melkov G A Magnitnye Kolebaniya i Volny (Magnetic Oscillations and Waves, Moscow: Nauka, 1994); see also: Magnetization Oscillations and Waves (Boca Raton: CRC Press, 1996)
  22. Bokut V V, Serdyukov A N Zh. Eksp. Teor. Fiz. 61 1808 (1971) [Sov. Phys. JETP 34 1013 (1972)]
  23. Bokut V V, Serdyukov A N, Fedorov F I Opt. Spektrosk. 37 288 (1974)
  24. Fedorov F I Teoriya Girotropii (Theory of Gyrotropy, Minsk: Nauka i Tekhnika, 1976)
  25. Maslovski S Ya, Simovski C R, Tretyakov S A, in Bianisotropics’98: Proc. 7th Intern. Conf. on Complex Media, Braunschweig, Germany, 1998 (Eds A F Jacob, J Reinert, Braunschweig: Technische Universitat Braunschweig, 1998) p. 197
  26. Tamm I E Osnovy Teorii Elektrichestva (Foundations of the Theory of Electricity, Moscow: Gostekhizdat, 1954)
  27. Golubkov A A, Makarov V A Usp. Fiz. Nauk 165 339 (1995) [Phys. Usp. 38 325 (1995)]
  28. Ryazanov M I Elektrodinamika Kondensirovannogo Veshchestva (Electrodynamics of Condensed Matter, Moscow: Nauka, 1984)
  29. Feynman R P, Leighton R B, Sands M The Feynman Lectures on Physics Vol. 1 (Reading, Mass.: Addison-Wesley Publ. Co., 1963) [Translated into Russian: Vol. 3 (Moscow: Mir, 1967) p. 125]
  30. Bungay A R, Svirko Yu P, Zheludev N I Phys. Rev. B 47 11730 (1993)
  31. Luk’yanov A Yu, Novikov M A Pis’ma Zh. Eksp. Teor. Fiz. 51 591 (1990) [JETP Lett. 51 673 (1990)]
  32. Val’kov A Yu, Romanov V P, Shalaginov A N Opt. Spektrosk. 69 635 (1990) [Opt. Spectrosc. 69 377 (1990)]
  33. Agranovich V M, Yudson V I Opt. Commun. 9 58 (1973)
  34. Bokut V V, Serdyukov A N Zh. Prikl. Spektrosk. 20 677 (1974)
  35. Rosenfeld L Theory of Electrons (Amsterdam: North-Holland Publ. Co., 1951)
  36. Kong J A Proc. IEEE 60 1036 (1972)
  37. Pamyatnykh E A, Turov E A Osnovy Elektrodinamiki Material’nykh Sred v Peremennykh i Neodnorodnykh Polyakh (Foundations of Electrodynamics of Material Media in Alternating and Non-Uniform Fields, Moscow: Nauka-Fizmatlit, 2000)
  38. Veselago V G Usp. Fiz. Nauk 92 517 (1967) [Sov. Phys. Usp. 10 509 (1968)]
  39. Kamenetskii E O Phys. Rev. E 54 4359 (1996)
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