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

V.P. Makarov^a, b, c, A.A. Rukhadze^a, b
^aProkhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119942, Russian Federation
^bMoscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700, Russian Federation
^cBauman 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 $\mu(\omega)$ verse waves only exist in the energy region where $\epsilon(\omega)$ and have a positive group velocity.

Text can be downloaded in Russian. English translation is available here.

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/
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)

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Received: 17th, July 2017, revised: 27th, December 2018, accepted: 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