Processing math: 100%
RSS feeds
РусскийEnglish
Issue 3, 2025 Retrieve →
Issues Authors PACS Subscription For authors
Search →

Issues

 / 

2019

 / 

May

←  →

Methodological notes


Material equations and Maxwell equations for isotropic media; waves with negative group velocity and negative values of ε (ω) and μ (ω)

 a, b, c,  a, b
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
c Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5/1, Moscow, 105005, Russian Federation

The frequently used Maxwell equations that contain E, B, D and H fields are only substantiated in the framework of linear material equations and for isotropic media alone. We have shown that the account of the deviation of magnetic permittivity μ(ω) verse waves only exist in the energy region where ϵ(ω) and have a positive group velocity.

Fulltext pdf (514 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2019.01.038522
Keywords: conductivity tensor, dielectric permittivity tensor, isotropic media, electric and magnetic permittivity, phase and group velocity of transverse electromagnetic wave
PACS: 03.50.De, 41.20.Jb (all)
DOI: 10.3367/UFNe.2019.01.038522
URL: https://ufn.ru/en/articles/2019/5/d/
000477641200004
2-s2.0-85072522957
2019PhyU...62..487M
Citation: Makarov V P, Rukhadze A A "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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 17th, July 2017, revised: 27th, December 2018, 17th, January 2019

Оригинал: Макаров В П, Рухадзе А А «Материальные уравнения и уравнения Максвелла для изотропных сред; волны с отрицательной групповой скоростью и отрицательные значения ε(ω) и μ(ω)» УФН 189 519–528 (2019); DOI: 10.3367/UFNr.2019.01.038522

References (21) Cited by (2) Similar articles (20) ↓

  1. Yu.A. Spirichev “On choosing the energy—momentum tensor in electrodynamics and on the Abraham force” Phys. Usp. 61 303–306 (2018)
  2. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” Phys. Usp. 59 141–152 (2016)
  3. 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)
  4. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic field” Phys. Usp. 52 937–943 (2009)
  5. A.V. Kukushkin, A.A. Rukhadze, K.Z. Rukhadze “On the existence conditions for a fast surface wave” Phys. Usp. 55 1124–1133 (2012)
  6. N.V. Selina “Light diffraction in a plane-parallel layered structure with the parameters of a Pendry lens” Phys. Usp. 65 406–414 (2022)
  7. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate” Phys. Usp. 53 595–609 (2010)
  8. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium” Phys. Usp. 52 649–654 (2009)
  9. I.N. Toptygin, G.D. Fleishman “Eigenmode generation by a given current in anisotropic and gyrotropic media” Phys. Usp. 51 363–374 (2008)
  10. I.N. Toptygin “Quantum description of a field in macroscopic electrodynamics and photon properties in transparent media” Phys. Usp. 60 935–947 (2017)
  11. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structures” Phys. Usp. 54 281–290 (2011)
  12. 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)
  13. 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)
  14. A.M. Ignatov, A.I. Korotchenko et al “On the interpretation of computer simulation of classical Coulomb plasma” Phys. Usp. 38 109–114 (1995)
  15. A.P. Vinogradov “On the form of constitutive equations in electrodynamics” Phys. Usp. 45 331–338 (2002)
  16. M.V. Kuzelev, A.A. Rukhadze “Waves in inhomogeneous plasmas and liquid and gas flows. Analogies between electro- and gas-dynamic phenomena” Phys. Usp. 61 748–764 (2018)
  17. S.G. Arutyunyan “Electromagnetic field lines of a point charge moving arbitrarily in vacuum” Sov. Phys. Usp. 29 1053–1057 (1986)
  18. 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)
  19. A.I. Frank “Interaction of a wave with an accelerating object and the equivalence principle” Phys. Usp. 63 500–502 (2020)
  20. 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)

The list is formed automatically.
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions