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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2018 Volume 471, Pages 7–14 (Mi znsl6621)

This article is cited in 2 papers

The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)

V. M. Babich

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The Maxwell equations for nonhomogeneous media is considered. The formula (in the first approximation ) for non-stationary point source of waves is found. The Fourier transform by $t$ of this expression leads to short wave asymptotic formula for wave field of high frequency point source of electromagnetic oscillations. The large parameter is the frequency.

Key words and phrases: Hadamard's ansatz, point source, Maxwell's equations.

UDC: 517.9

Received: 02.07.2018


 English version:
Journal of Mathematical Sciences (New York), 2019, 243:5, 634–639

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