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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.

Fulltext pdf (253 KB)
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

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  1. A.P. Vinogradov, A.V. Dorofeenko, S. Zouhdi “On the problem of the effective parameters of metamaterials” Phys. Usp. 51 485–492 (2008)
  2. A.A. Golubkov, V.A. Makarov “Boundary conditions for electromagnetic field on the surface of media with weak spatial dispersion” Phys. Usp. 38 325–332 (1995)
  3. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium” Phys. Usp. 52 649–654 (2009)
  4. A.M. Ignatov, A.A. Rukhadze “Ambiguity in the definition of the magnetic permeability of material media” Sov. Phys. Usp. 24 795–797 (1981)
  5. V.L. Ginzburg, V.A. Ugarov “Remarks on forces and the energy-momentum tensor in macroscopic electrodynamics” Sov. Phys. Usp. 19 94–101 (1976)
  6. 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 electrodynamics” Sov. Phys. Usp. 16 434–439 (1973)
  7. B.M. Bolotovskii, S.N. Stolyarov “Reflection of light from a moving mirror and related problems” Sov. Phys. Usp. 32 813–827 (1989)
  8. K.Yu. Bliokh, Yu.P. Bliokh “What are the left-handed media and what is interesting about them?” Phys. Usp. 47 393–400 (2004)
  9. A.V. Vashkovskii, E.H. Lock “Negative refractive index for a surface magnetostatic wave propagating through the boundarybetween a ferrite and ferrite-insulator-metal media” Phys. Usp. 47 601–605 (2004)
  10. V.G. Polevoi, S.M. Rytov “The four-dimensional group velocity” Sov. Phys. Usp. 21 630–638 (1978)
  11. A.A. Snarskii “Did Maxwell know about the percolation threshold? (on the fiftieth anniversary оf percolation theory)” Phys. Usp. 50 1239–1242 (2007)
  12. V.V. Shevchenko “Localization of a stationary electromagnetic field by a planar boundary of a metamaterial” Phys. Usp. 54 1131–1142 (2011)
  13. A.G. Shalashov, E.D. Gospodchikov “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)
  14. 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)
  15. 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)
  16. I.O. Zolotovskii, R.N. Minvaliev, D.I. Sementsov “Dynamics of frequency-modulated wave packets in optical guides with complex-valued material parameters” Phys. Usp. 56 1245–1256 (2013)
  17. V.G. Niz’ev “Dipole-wave theory of electromagnetic diffraction” Phys. Usp. 45 553–559 (2002)
  18. O.A. Shustin, T.S. Velichkina et al “Some demonstrations in wave optics performed with a Gas laser” Sov. Phys. Usp. 14 666–667 (1972)
  19. I.N. Toptygin, G.D. Fleishman “Eigenmode generation by a given current in anisotropic and gyrotropic media” Phys. Usp. 51 363–374 (2008)
  20. B.M. Bolotovskii, A.V. Serov “Features of the transition radiation field” Phys. Usp. 52 487–493 (2009)

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