Application of Kummer´s transformation in fast computation of mixed potential green´s function for cylindrically stratified structure

Author

Sun, J. ; Wang, C.F. ; Li, L.W. ; Leong, M.S.

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore

Volume

4

fYear

2003

fDate

22-27 June 2003

Firstpage

954

Abstract

Computation of spatial domain Green´s function for cylindrically stratified structure is usually a very challenging and time consuming task, because not only a Sommerfeld integral on k/sub z/ complex plane is involved, but also the cylindrical eigen mode expansion will lead to a slow convergent series. Furthermore, numerical overflow and underflow will easily occur when we evaluate large order cylindrical eigen mode. This is a typical problem when the radius of the cylinder is of several times of wavelength and the evaluation of large order cylindrical eigen mode is necessary. A method using Kummer´s transformation to speed up the computation of mixed potential spatial domain Green´s functions for cylindrically stratified media has been developed for solving mixed potential integral equation.

Keywords

Bessel functions; Fourier transforms; Green´s function methods; Hankel transforms; computational electromagnetics; inhomogeneous media; spectral-domain analysis; Bessel function; Hankel function; Kummer´s transformation; cylindrically stratified media; discrete complex image method; fast computation; inverse Fourier transform; magnetic vector potential; mixed potential Green´s function; mixed potential integral equation; spectral domain Green´s function; transmission matrix; Application software; Convergence; Engine cylinders; Extrapolation; Frequency locked loops; Green´s function methods; H infinity control; Laboratories; Nonhomogeneous media; Tellurium;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2003. IEEE

Conference_Location

Columbus, OH, USA

Print_ISBN

0-7803-7846-6

Type

conf

DOI

10.1109/APS.2003.1220430

Filename

1220430