Image solution for Poisson´s equation in wedge geometry

Author

Nikoshkinen, K.I. ; Lindell, I.V.

Author_Institution

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

Volume

43

Issue

2

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

179

Lastpage

187

Abstract

The Poisson´s equation for a dielectric wedge is solved by deriving a static image that corresponds to the potential contribution of the wedge. The problem is studied mainly in three dimensions but the solution for the analog two-dimensional problem is also provided. It appears that the use of image sources provides numerically a simple and efficient method to compute the potential inside and outside the wedge. Image sources for the exterior and interior regions consist of a line charge that decays exponentially as a function of complex angle and a set of point charges that can be interpreted as reflection or transmission images of a dielectric plane. All known closed-form solutions in terms of elementary functions are derived for an electrically and magnetically conducting half plane

Keywords

conductors (electric); dielectric materials; electric potential; electromagnetic field theory; Poisson´s equation; analog two-dimensional problem; closed-form solutions; dielectric plane; dielectric wedge; electrically conducting half plane; elementary functions; exponential decay; image solution; image sources; line charge; magnetically conducting half plane; potential; reflection images; static image; transmission images; wedge geometry; Boundary conditions; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetic scattering; Electrostatics; Geometry; Integral equations; Poisson equations; Reflection; Transforms;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.366380

Filename

366380