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Causality theorems and Green functions for transient wave propagation problems in stratified complex media

Sten Rikte

Research output: Book/Report › Report › Research

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Abstract

A general mixed initial-boundary value problem for a non-local hyperbolic
equation, relevant for the study of the propagation of transient electro-magnetic
waves in flat slabs, consisting of dispersive stratified complex media, and excited
by incident plane waves, is treated. Theorems regarding unique solvability
and causality are presented and proved by a time domain method similar
to the one used in the scalar (isotropic) case. The Green functions equations
for the problem are derived and proved to be uniquely solvable. The theorems
are applicable to wave propagation in, e.g., large classes of dispersive
bi-isotropic, an-isotropic, and bi-an-isotropic media.
Original languageEnglish
Publisher[Publisher information missing]
Number of pages17
VolumeTEAT-7029
Publication statusPublished - 1994

Publication series

NameTechnical Report LUTEDX/(TEAT-7029)/1-17/(1994)
VolumeTEAT-7029

Bibliographical note

Published version: SIAM J. Math. Anal., 57(5), 1373-1389, 1997.

Subject classification (UKÄ)

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

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