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Chebyshev polynomials for the numerical modeling of non‐uniform substrate integrated waveguides
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields ( IF 1.6 ) Pub Date : 2020-12-20 , DOI: 10.1002/jnm.2853
Karima Rabaani 1 , Maha Added 1 , Noureddine Boulejfen 2 , Ammar B. Kouki 3 , Fadhel M. Ghannouchi 4
Affiliation  

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.

中文翻译:

Chebyshev多项式用于非均匀基片集成波导的数值模拟

本文提出了一种基于矩量法的新方法来分析非均匀损耗基片集成波导(SIW)传输线。该方法在频域中结合了切比雪夫展开,以计算线的散射参数矩阵。为了验证所提出的非均匀结构的方法,分析了其中两个已经制造和测量的非均匀结构。将分析的和测量的S参数与通过基于电磁有限元的模拟获得的参数进行比较。对于相对合理数量的基函数,两组结果之间观察到的良好匹配确认了所提出方法的准确性和快速收敛性。这使其最适合集成到计算机辅助设计工具中。
更新日期:2020-12-20
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