Approximate solution of the direct and converse problems of the propagation of a disturbance in a guiding medium

THE DIRECT and converse problems of electromagnetic pulse propagation in media, invariant to shifts in the direction of propagation, are considered. In the case of a homogeneous space with conductivity, the technique of fractional powers of an operator is used to transform from a second-order equati...

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1979, Vol.19 (5), p.92-102
Main Authors: Kuchai, S.A., Tarasov, R.P.
Format: Article
Language:English
Online Access:Get full text
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Summary:THE DIRECT and converse problems of electromagnetic pulse propagation in media, invariant to shifts in the direction of propagation, are considered. In the case of a homogeneous space with conductivity, the technique of fractional powers of an operator is used to transform from a second-order equation in the propagation coordinate to a first-order equation, and the problems are written as direct and converse Cauchy problems. Methods for the approximate solution are based on different exponential representations of the operator of the semi-group generated by the Cauchy problem. Results of a numerical experiment are quoted.
ISSN:0041-5553
DOI:10.1016/0041-5553(79)90101-0