FAST AND ACCURATE DETERMINATION OF THE COMPLEX RESONANT FREQUENCY OF A MULTILAYER CIRCULAR CAVITY USING CHEBYSHEV'S ROOT-FINDER | Zendy

David Marques-Villarroya | Zendy; Felipe L. PeñarandaFoix | Zendy; Beatriz GarcíaBaños | Zendy; José M. CataláCivera | Zendy; José D. Gutiérrez | Zendy

Open Access

FAST AND ACCURATE DETERMINATION OF THE COMPLEX RESONANT FREQUENCY OF A MULTILAYER CIRCULAR CAVITY USING CHEBYSHEV'S ROOT-FINDER

Author(s) -

David Marques-Villarroya,

Felipe L. PeñarandaFoix,

Beatriz GarcíaBaños,

José M. CataláCivera,

José D. Gutiérrez

Publication year - 2017

Publication title -

progress in electromagnetics research m

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 31

ISSN - 1937-8726

DOI - 10.2528/pierm17020904

Subject(s) - chebyshev filter , root (linguistics) , chebyshev polynomials , physics , mathematics , optics , mathematical analysis , philosophy , linguistics

In this paper, a general multilayer circular cavity with N slabs is analyzed analytically, obtaining characteristic equations for TE and TM modes to compute the complex resonant frequency efficiently using an algorithm based on Chebyshev’s root finder. The accuracy of the solutions is compared with full-wave circuit method, and the computational speed to achieve the roots of the characteristic equations is also compared with Cauchy Integral Method, which is commonly used to obtain complex roots. Furthermore, the relationship between the amplitudes of the different regions is obtained, whereby the whole structure can be analyzed as a single one from now on.

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