Title :
On the Sommerfeld representation
Author :
Daniele, V. ; Floreani, M.G. ; Zich, R.E.
Author_Institution :
Dipt. di Elettronica, Politecnico di Torino, Italy
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6347-7
DOI :
10.1109/MMET.2000.890458
