Title :
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
fDate :
12/1/1997 12:00:00 AM
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;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
