The emission of electromagnetic waves in the case of a smooth variation of parameters of a radiating system

B.M. Bolotovskii^a, V.A. Davydov^b, c, V.E. Rok
^aLebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
^bMIREA - Russian Technological University, prosp. Vernadskogo 78, Moscow, 119454, Russian Federation
^cInstitute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation

Characteristic properties of electromagnetic radiation are investigated for radiating systems in which variation of parameters is described by model smooth functions permitting derivation of exact solutions. Picked as examples of radiating systems are a moving charge with continuously variable velocity (with respect to magnitude and direction), a dipole with continuously variable dipole moment, and a charge uniformly moving in a medium with permittivity continuously varying in space or time. Exact expressions are derived for the electromagnetic field and spectral energy density of radiation in all problems under consideration. It is shown that the common property of electromagnetic radiation in such systems is exponential decline of the spectrum in the high frequency region.

PACS: 41.10.Hv
DOI: 10.1070/PU1982v025n03ABEH004521
URL: https://ufn.ru/en/articles/1982/3/d/
Citation: Bolotovskii B M, Davydov V A, Rok V E "The emission of electromagnetic waves in the case of a smooth variation of parameters of a radiating system" Sov. Phys. Usp. 25 167–175 (1982)

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Оригинал: Болотовский Б М, Давыдов В А, Рок В Е «Излучение электромагнитных волн при плавном изменении параметров излучающей системы» УФН 136 501–517 (1982); DOI: 10.3367/UFNr.0136.198203e.0501

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