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A higher-order spectral element method for modeling eccentric anisotropic multilayered waveguides via transformation optics

Published online by Cambridge University Press:  19 February 2025

Raul O. Ribeiro Open the ORCID record for Raul O. Ribeiro [Opens in a new window] ,
Guilherme S. Rosa Open the ORCID record for Guilherme S. Rosa [Opens in a new window] ,
José R. Bergmann Open the ORCID record for José R. Bergmann [Opens in a new window]  and
Fernando L. Teixeira Open the ORCID record for Fernando L. Teixeira [Opens in a new window]
Raul O. Ribeiro*
Affiliation:
School of Engineering, São Paulo State University (UNESP), São João da Boa Vista, SP, Brazil
Guilherme S. Rosa
Affiliation:
School of Engineering, São Paulo State University (UNESP), São João da Boa Vista, SP, Brazil
José R. Bergmann
Affiliation:
Department of Electrical Engineering, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Fernando L. Teixeira
Affiliation:
ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA
*
Corresponding author: Raul O. Ribeiro; Email: [email protected]
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Abstract

We present a higher-order spectral element method (SEM) for analyzing eccentric anisotropic multilayered waveguides. The formulation uses conformal transformation optics to map the original eccentric waveguide to an equivalent concentric one. This transformation is extended to handle anisotropic non-reciprocal media characterized by non-symmetric and non-Hermitian tensors. In the transformed concentric domain, higher-order two-dimensional basis functions associated with the zeros of the completed Lobatto polynomial are used to expand the fields. To simulate radially unbounded problems, we employ a complex-stretched perfectly matched layer to mimic open space. The method is validated with radially bounded two-layer and three-layer waveguides and radially unbounded three-layer waveguides. Comparisons with the finite element method (FEM) demonstrate that our SEM approach requires significantly fewer degrees of freedom than FEM.

Keywords

anisotropic non-reciprocal mediaeccentric multilayered waveguidespectral element methodtransformation optics
Type
Research Paper
Information
International Journal of Microwave and Wireless Technologies , First View , pp. 1 - 8
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Copyright
© The Author(s), 2025. Published by Cambridge University Press in association with The European Microwave Association.

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