New algorithm based on BEM-Pade approximants to an efficient treatment of waveguide discontinuities

Author

Fontgalland, G. ; Vuong, T.P. ; Baudrand, H.

Author_Institution

Centro Fed. de Educacao Tecnologica, Sao Luis, Brazil

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

395

Abstract

This paper presents a new, fast, and accurate algorithm based upon Pade approximants in the Boundary Element Method (BEM) to design waveguide discontinuities. The solutions of Helmholtz equation using Galerkin Method and BEM are obtained through non-linear eigenvalues problems. In this algorithm, the double scalar and vector Green´s function are expanded in powers of the frequency and recast in a rational form. The asymptotic kernel (wavenumber) function built permits a perfect representation of the impedance operator. The wavenumbers are accurate and the research is computationally affordable.

Keywords

Green´s function methods; Helmholtz equations; boundary-elements methods; convergence of numerical methods; eigenvalues and eigenfunctions; electronic engineering computing; waveguide components; waveguide theory; Galerkin method; Helmholtz equation; Pade approximants; asymptotic kernel function; boundary element method; double scalar Green´s function; impedance operator; monotonous operator; nonlinear eigenvalues; vector Green´s function; waveguide discontinuities; wavenumbers; Algorithm design and analysis; Boundary element methods; Design methodology; Eigenvalues and eigenfunctions; Frequency; Green´s function methods; Kernel; Moment methods; Nonlinear equations; Waveguide discontinuities;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave and Optoelectronics Conference, 2001. IMOC 2001.Proceedings of the 2001 SBMO/IEEE MTT-S International

Print_ISBN

0-7803-7065-1

Type

conf

DOI

10.1109/SBMOMO.2001.1008790

Filename

1008790