Title :
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
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2003. IEEE
Conference_Location :
Columbus, OH, USA
Print_ISBN :
0-7803-7846-6
DOI :
10.1109/APS.2003.1220430
