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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.

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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)
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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

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