Marqués-Villarroya, D.; Penaranda-Foix, FL.; García-Baños, B.; Catalá Civera, JM.; Gutiérrez Cano, JD. (2017). Fast and Accurate Determination of the Complex Resonant Frequency of a Multilayer Circular Cavity Using Chebyshev's Root-finder. Progress in electromagnetics research M. Pier M. 58:1-10. https://doi.org/10.2528/PIERM17020904
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/152258
Title:
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Fast and Accurate Determination of the Complex Resonant Frequency of a Multilayer Circular Cavity Using Chebyshev's Root-finder
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Author:
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Marqués-Villarroya, David
Penaranda-Foix, Felipe L.
García-Baños, Beatriz
Catalá Civera, José Manuel
Gutiérrez Cano, José Daniel
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UPV Unit:
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Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions
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Issued date:
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Abstract:
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[EN] 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 ...[+]
[EN] 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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Subjects:
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Multilayer cylindrical structures
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Mode-matching
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Chebyshev root-finder
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Complex resonant frequency
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Copyrigths:
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Cerrado |
Source:
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Progress in electromagnetics research M. Pier M. (eissn:
1937-8726
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DOI:
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10.2528/PIERM17020904
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Publisher:
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The Electromagnetics Academy (EMW Publishing)
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Publisher version:
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https://doi.org/10.2528/PIERM17020904
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Project ID:
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UPV/PAID-00-15
GV/BEST/2016/012
MINECO/TEC2015-70272-R
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Thanks:
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This work has been financially supported by "Programa de Ayudas de Investigacion y Desarrollo (PAID) de la Universitat Politecnicade Valencia", "Programa de Apoyo a la investigacion y Desarrollo (PAID-00-15) de la Universitat ...[+]
This work has been financially supported by "Programa de Ayudas de Investigacion y Desarrollo (PAID) de la Universitat Politecnicade Valencia", "Programa de Apoyo a la investigacion y Desarrollo (PAID-00-15) de la Universitat Politecnica de Valencia", and by "Conselleria de Educacion, Investigacion, Cultura y Deporte. Generalitat Valenciana (BEST/2016/012)". Results are obtained under the project SEDMICRON - TEC2015-70272-R (MINECO/FEDER), financed by Ministerio de Economia y Competitividad (MINECO) - Spanish Government- and by European Regional Development Funds (ERDF) of European Union.
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Type:
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Artículo
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