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Pseudospectral frequency‐domain analysis of rectangular waveguides filled by dielectrics whose permittivity varies continuously along the broad dimension
Author(s) -
Pereda José A.,
Grande Ana
Publication year - 2020
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.32390
Subject(s) - helmholtz equation , mathematical analysis , frequency domain , mathematics , eigenvalues and eigenvectors , collocation (remote sensing) , chebyshev polynomials , chebyshev filter , dimension (graph theory) , permittivity , dielectric , field (mathematics) , materials science , physics , boundary value problem , computer science , optoelectronics , quantum mechanics , machine learning , pure mathematics
Abstract The calculation of dispersion diagrams and field patterns of metallic rectangular waveguides filled with an inhomogeneous dielectric whose permittivity varies continuously along the broad size of the guide is considered. In general, this problem has no exact solution, thus numerical techniques should be used. In this article, the pseudospectral frequency‐domain (PSFD) method is proposed to address the problem. Starting from the Helmholtz equation, a matrix eigenvalue problem is obtained by applying the collocation technique with Chebyshev polynomials as basis functions. The results obtained are compared with those calculated by the conventional finite‐difference frequency‐domain method showing that the PSFD technique provides an excellent accuracy.