Wait´s complex-image principle generalized to arbitrary sources

Author

Lindell, Ismo V. ; Hänninen, Jari J. ; Pirjola, Risto

Author_Institution

Electromagn. Lab., Helsinki Univ. of Technol., Espoo, Finland

Volume

48

Issue

10

fYear

2000

fDate

10/1/2000 12:00:00 AM

Firstpage

1618

Lastpage

1624

Abstract

The well-known simple and remarkably accurate approximate low-frequency (LF) complex-image method introduced in 1969 by J. R. Wait to compute the effect of the ground to the field of a divergenceless horizontal current (vertical magnetic current) is generalized to arbitrary current sources through the exact image formulation. The images of a vertical dipole, a horizontal current segment, and an oscillating point charge are first reduced to simplified but asymptotically exact forms and, subsequently, in terms of delta and step-functions to approximate image expressions that also include Wait´s image. The novel part of the image is tested numerically through a geophysical example

Keywords

approximation theory; conducting bodies; electric current; geophysical techniques; radiowave propagation; LF complex-image method; LF radio propagation; Wait´s complex-image principle; arbitrary current sources; delta functions; divergenceless horizontal current; exact image formulation; geophysics; horizontal current segment; image expressions; low-frequency complex-image method; oscillating point charge; perfectly electrically conducting plane; vertical dipole; vertical magnetic current; Conductivity; Earth; Electromagnetic radiation; Frequency; Geophysics computing; Image segmentation; Impedance; Nonhomogeneous media; Radio propagation; Testing;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.899678

Filename

899678