Quasi-stationary approximation of electromagnetic energy spreading in a locally inhomogeneous conductive halfspace

Author

Grits´ko, E.G. ; Zhuravchak, L.M.

Author_Institution

Inst. of Appl. Problems of Mech. & Math., Acad. of Sci., Lvov, Ukraine

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

84

Lastpage

87

Abstract

The quasi-stationary approximation of the process of electromagnetic energy spreading in a halfspace is considered. Conductivity of the medium is a continuous function which is constant everywhere excepting for a finite domain of arbitrary shape. Using the fundamental solution of non-stationary diffusion equation, the projection method and the time marching scheme of the sole initial condition, we construct the system of integral correlations to find the components of electric field strength vector in an arbitrary halfspace point in any moment of time through its components in an inhomogeneity domain

Keywords

Maxwell equations; approximation theory; conducting bodies; electric fields; electrical conductivity; inhomogeneous media; integral equations; Maxwell´s equations; conductivity; continuous function; electric field strength vector; electromagnetic energy spreading; inhomogeneity domain; initial condition; integral correlations; locally inhomogeneous conductive halfspace; nonstationary diffusion equation; projection method; quasi-stationary approximation; time marching scheme; Circuits; Conducting materials; Conductivity; Geophysics; Integral equations; Mathematics; Nonuniform electric fields; Permeability; Roentgenium; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 1999. Proceedings of IVth International Seminar/Workshop

Conference_Location

Lviv

Print_ISBN

966-02-0864-2

Type

conf

DOI

10.1109/DIPED.1999.822135

Filename

822135