Green´s function for the harmonic potential of the three-dimensional wedge transmission problem

Author

Scharstein, Robert W.

Author_Institution

Electr. Eng. Dept., Univ. of Alabama, Tuscaloosa, AL, USA

Volume

52

Issue

2

fYear

2004

Firstpage

452

Lastpage

460

Abstract

The point-source static potential in a wedge geometry consisting of two homogeneous media is solved via the Kontorovich-Lebedev and Fourier transforms. Inverse transforms enable the solution of Laplace´s equation to be expressed in terms of image contributions plus residue sums (Fourier series) of toroidal functions. As in previous wave equation solutions for isovelocity wedges, explicit expressions for the poles that are the site of the residues are exploited when the wedge angle is a rational multiple of π.

Keywords

Fourier transforms; Green´s function methods; Laplace equations; electrostatics; Fourier series; Fourier transforms; Green´s function; Kontorovich-Lebedev transform; Laplace equation; electrostatics; harmonic potential; inverse transforms; point-source static potential; three-dimensional wedge transmission problem; toroidal functions; wave equation; Boundary conditions; Fourier series; Fourier transforms; Geometry; Green´s function methods; Helium; Laplace equations; Partial differential equations; Scattering; Thermal conductivity;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2004.823949

Filename

1282120