Abstract
The problem of calculating the electromagnetic field energy outside the transmission band is discussed. It is shown that the contribution of charged particles to the electromagnetic perturbation energy can be described in the general case in terms of the bilinear combination of the medium dielectric polarizability. An explicit form of such a contribution is found. The relations obtained are used to generalize Planck’s law to the case of an absorbing medium.
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References
L. D. Landau and E. M. Lifshitz, Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Fizmatlit, Moscow, 2005; Pergamon, Oxford, 1960).
A. I. Akhiezer, I. A. Akhiezer, A. G. Sitenko, et al., Plasma Electrodynamics, Vol. 1: Linear Theory (Pergamon, New York, 1975).
A. G. Sitenko and V. M. Malnev, Plasma Physics Theory (Chapman and Hall, London, 1994).
V. L. Ginzburg, Izv. Vyssh. Uchebn. Zaved. 4, 74 (1961).
B. N. Gershman and V. L. Ginzburg, Izv. Vyssh. Uchebn. Zaved. 5, 31 (1962).
V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Pergamon, London, 1964).
Yu. S. Barash and V. L. Ginzburg, Sov. Phys.Usp. 19, 263 (1976).
V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasmas and Plasma-Like Media (Atomizdat, Moscow, 1961; Gordon and Beach, New York, 1965).
Yu. L. Klimontovich, H. Wilhelmsson, I. P. Yakimenko, and A. G. Zagorodny, Phys. Rep. 175, 263 (1989).
Yu. L. Klimontovich, A. Y. Shevchenko, I. P. Yakimenko, and A. G. Zagorodny, Contrib. Plasma Phys. 29, 551 (1989).
M. L. Levin and S. M. Rytov, The Theory of Equilibrium Thermal Fluctuations in Electrodynamics (Nauka, Moscow, 1967) [in Russian].
S. A. Trigger, Phys. Lett. A 370, 365 (2007).
V. B. Bobrov and S. A. Trigger, Theor.Math. Phys. 187, 539 (2016).
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Original Russian Text © A.G. Zagorodny, S.A. Trigger, 2018, published in Kratkie Soobshcheniya po Fizike, 2018, Vol. 45, No. 5, pp. 45–52.
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Zagorodny, A.G., Trigger, S.A. On the Problem of the Electromagnetic Field Energy in a Medium with Temporal and Spatial Dispersion under Absorption Conditions. Bull. Lebedev Phys. Inst. 45, 159–164 (2018). https://doi.org/10.3103/S106833561805007X
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DOI: https://doi.org/10.3103/S106833561805007X