Title :
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
fDate :
6/21/1905 12:00:00 AM
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;
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
DOI :
10.1109/DIPED.1999.822135