Analysis of homogeneous waveguides via the meshless radial basis function-generated-finite-difference method

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URI: http://hdl.handle.net/10902/20713
ISSN: 1531-1309
ISSN: 1558-1764
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Autoría
Pereda Fernández, José AntonioAutoridad Unican; Grande Sáez, Ana María
Fecha
2020-03
Derechos
© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publicado en
IEEE Microwave and Wireless Components Letters, 2020, 30(3), 229-232
Editorial
Institute of Electrical and Electronics Engineers Inc.
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Palabras clave
Meshless methods
Radial basis function generatedfinite difference method
Homogeneous waveguides
Cutoff wavenumbers
Resumen/Abstract
The radial basis function generatedfinite difference (RBFFD) method is applied to the analysis of homogenous waveguides. To this end, the Helmholtz equation and the boundary conditions are collocated on the waveguide cross section. At each collocation node, derivatives are locally approximated by RBFFD formulas based on polyharmonic splines supplemented with highdegree polynomials. As a result, a sparse matrix eigenvalue problem is obtained which allows cutoff wavenumbers and axial fields to be calculated. To illustrate the accuracy of the method, we consider a semicircular and an eccentric circular waveguides.
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