On the Sommerfeld representation

Author

Daniele, V. ; Floreani, M.G. ; Zich, R.E.

Author_Institution

Dipt. di Elettronica, Politecnico di Torino, Italy

Volume

2

fYear

2000

fDate

2000

Firstpage

441

Abstract

The Sommerfeld integral is a very important field representation particularly in the electromagnetic problems involving angular shaped regions. For example, we recall that even the powerful Maliuzhinets method is based on the use of Sommerfeld integral. However, although it has been widely studied and used, many questions are still open and in particular it is not perfectly clear when it is possible to apply it and when it is not. Here, we deduce the Sommerfeld integral starting from the inverse Laplace transform of the field satisfying the wave equation. It is shown that, for this purpose, it is necessary to know in detail the properties of the singularities in the spectral domain

Keywords

Laplace transforms; electromagnetic fields; integral equations; inverse problems; spectral-domain analysis; wave equations; EM field representation; Maliuzhinets method; Sommerfeld integral; Sommerfeld representation; angular shaped regions; electromagnetic problems; inverse Laplace transform; spectral domain singularities; wave equation; Clocks; Electromagnetic fields; Electromagnetic propagation; Fourier transforms; Integral equations; Laplace equations; Petroleum;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on

Conference_Location

Kharkov

ISSN

1

Print_ISBN

0-7803-6347-7

Type

conf

DOI

10.1109/MMET.2000.890458

Filename

890458