Chebyshev polynomials for the numerical modeling of non‐uniform substrate integrated waveguides

In this paper, a new method‐of‐moments‐based approach is proposed for the analysis of non‐uniform lossy substrate integrated waveguides (SIW) transmission lines. The approach incorporates Chebyshev expansion in the frequency domain to compute the scattering parameter matrix of the line. To validate...

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Bibliographic Details
Published in:International journal of numerical modelling 2021-05, Vol.34 (3), p.n/a
Main Authors: Rabaani, Karima, Added, Maha, Boulejfen, Noureddine, Kouki, Ammar B., Ghannouchi, Fadhel M.
Format: Article
Language:English
Subjects:
Basis functions
Chebyshev approximation
Chybeshev expansion
method of moments
nonuniform transmission line
Parameters
Polynomials
S parameters
substrate integrated waveguide
Substrate integrated waveguides
Transmission lines
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Summary:In this paper, a new method‐of‐moments‐based approach is proposed for the analysis of non‐uniform lossy substrate integrated waveguides (SIW) transmission lines. The approach incorporates Chebyshev expansion in the frequency domain to compute the scattering parameter matrix of the line. To validate the proposed approach of non‐uniform structures are analyzed where two of them have been fabricated and measured. The analytical and measured S parameters were compared to those obtained through electromagnetic finite element‐based simulations. The good match observed between the two sets of results for a relatively reasonable number of basis functions confirms the accuracy and the fast convergence of the proposed approach. This makes it the most suitable for integration into computer‐aided design tools.
ISSN:0894-3370
1099-1204
DOI:10.1002/jnm.2853