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1976

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Methodological notes


Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive medium

 a,  b
a Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation
b Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The question of the expressions for the energy density $W$ and evolved heat (dissipation) $Q$ in the electrodynamics of a dispersive and absorptive medium is discussed. Attention is concentrated on explaining the fact that $W$ and $Q$ are not expressed, generally speaking, in terms of the complex dielectric permittivity $\varepsilon(\omega)$. This statement is illustrated with the example of a medium consisting of a collection of oscillators and with the example of the simplest model of a plasma. A convenient expression for the energy density of a field with arbitrary time dependence in a transparent medium is obtained in the Appendix. A derivation of the high-frequency average of $(1/4\pi)\partial\mathbf{D}/\partial t\mathbf{E}$ for a quasi-monochromatic field in an absorptive dispersive medium is also given there.

PACS: 03.50.Jj
DOI: 10.1070/PU1976v019n03ABEH005142
URL: https://ufn.ru/en/articles/1976/3/d/
Citation: Barash Yu S, Ginzburg V L "Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive medium" Sov. Phys. Usp. 19 263–270 (1976)
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Оригинал: Бараш Ю С, Гинзбург В Л «О выражениях для плотности энергии и выделяющегося тепла в электродинамике диспергирующей и поглощающей среды» УФН 118 523–537 (1976); DOI: 10.3367/UFNr.0118.197603f.0523

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