Exact image theory for the calculation of fields transmitted through a planar interface of two media

Author

Lindell, Ismo V. ; Alanen, Esko ; Von Bagh, Hans

Author_Institution

Helsinki University of Technology, Espoo, Finland

Volume

34

Issue

2

fYear

1986

fDate

2/1/1986 12:00:00 AM

Firstpage

129

Lastpage

137

Abstract

Exact image theory, recently developed for the calculation of fields reflected from a planar interface between two homogenous media, is extended for transmitted field calculation. The image of a point source is found to be a line source located in complex space for proper convergence. Unlike for the reflection image, the transmission image line is seen to be curved in complex space for efficient computation. Expressions are derived for the transmission image of the most general three-dimensional electric and magnetic sources and for media with both $\\epsilon$ and $\\mu$ discontinuous across the interface. The new theory is verified with several asymptotic tests and properties of the transmission image function are discussed. As an application, radiation from a resonant horizontal loop antenna into the ground is calculated and results are seen to agree with those given in the literature.

Keywords

Electromagnetic propagation in nonhomogeneous media; Loop antennas; Antenna theory; Computer interfaces; Convergence; Helium; Impedance; Magnetic resonance imaging; Reflection; Space technology; Testing; Transmission line discontinuities;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.1986.1143788

Filename

1143788