Title :
A new numerical approach to electromagnetics: finite-analytic method
Author :
Utku, Cuneyt ; Turetken, Bahattin
Author_Institution :
Dept. of Electron. & Commun. Eng., Tech. Univ. Istanbul, Turkey
Abstract :
A finite-analytic (FA) scheme, based on power series expansion, has been developed for the 2-D Helmholtz equation. The scheme developed here has proven to be better performing than the classical 5-point and 9-point finite difference (FD) schemes for the waveguide problem considered. Depending on the problem, different series expansions can be utilized for the FA scheme for higher accuracy giving the opportunity to develop a problem oriented FD scheme. Once the appropriate FA scheme has been developed one can use the resulting FD scheme to increase the accuracy and the efficiency of the solution without increasing the complexity of the FD scheme
Keywords :
Helmholtz equations; differential equations; finite difference methods; waveguide theory; 2-D Helmholtz equation; electromagnetics; finite-analytic method; numerical approach; power series expansion; series expansions; waveguide problem; Electromagnetic waveguides; Equations; Finite difference methods;
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.2000.890530