Abstract: Abstract: For an unmagnetized nonconducting medium, a system of electrodynamic equations corresponding to time-periodic oscillations is considered. For this system, we study the problem of determining the permittivity ε from a given electric field magnitude in the electromagnetic field resulting from the interference of two fields produced by external point current sources. It is assumed that the permittivity differs from a given positive constant ε0 only inside a compact domain Ω 0 ⊂R 3 and the electric field magnitude is given for all frequencies, starting at a fixed one ω 0 , on the boundary S of a domain Ω surrounding Ω 0 . By analyzing an asymptotic expansion of the solution to a direct problem at high frequencies, it is shown that, with the use of given information, the original problem is reduced to the well-known inverse kinematic problem of determining the refraction coefficient inside Ω from the travel times of an electromagnetic wave propagating between boundary points of this domain. This reduction opens up the possibility of obtaining a constructive solution of the original problem. © 2019, Pleiades Publishing, Ltd.

Cite: Romanov V.G.
Determination of Permittivity from the Modulus of the Electric Strength of a High-Frequency Electromagnetic Field
Doklady Mathematics. 2019. V.99. N1. P.44-47. DOI: 10.1134/S1064562419010137 WOS Scopus OpenAlex

Identifiers:

Web of science:	WOS:000467908100012
Scopus:	2-s2.0-85065879596
OpenAlex:	W2945499299

Citing:

DB	Citing
Scopus	5
OpenAlex	4
Web of science	5

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