Path integral computation of lowest order modes in arbitrary-shaped inhomogeneous waveguides

Author

Galdi, Vincenzo ; Pierro, Vincenzo ; Pinto, Innocenzo M.

Author_Institution

Dipt. di Ingegneria dell´´Inf. e Ingegneria Electr., Salerno Univ., Italy

Volume

7

Issue

12

fYear

1997

fDate

12/1/1997 12:00:00 AM

Firstpage

402

Lastpage

404

Abstract

A general numerical algorithm for the computation of the fundamental modes and related cutoff wavenumbers in arbitrary shaped inhomogeneous waveguides is presented. The method exploits a generalized Donsker-Kac formula to express the lowest order modes in terms of asymptotic generalized Wiener-Ito integrals, whose computation is carried out by means of Monte Carlo methods. Comparison with known solutions and computational budget indicate that the proposed method is indeed accurate, versatile, as well as computationally efficient

Keywords

Monte Carlo methods; integration; waveguide theory; Donsker-Kac formula; Monte Carlo methods; arbitrary-shaped waveguides; asymptotic generalized Wiener-Ito integrals; cutoff wavenumbers; fundamental modes; inhomogeneous waveguides; lowest order modes; numerical algorithm; path integral computation; Absorption; Boundary conditions; Dielectric measurements; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Integral equations; Quantum mechanics; Shape; Stochastic processes; Tellurium;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.645187

Filename

645187