Analysis of Mathematical Techniques for the Calculation of the Electrostatic Field in a Dielectric-Loaded Waveguide

PhotonIcs & Electromagnetics Research Symposium, Forthcoming

6 Pages Posted: 30 Oct 2019

See all articles by Andres Berenguer

Andres Berenguer

Miguel Hernandez University; Santander Bank

A. Coves

Universidad Miguel Hernández de Elche

E. Bronchalo

Universidad Miguel Hernández de Elche

F. Mesa

University of Seville

Date Written: June 17, 2019

Abstract

The resolution of the Green's function for obtaining the electrostatic potential generated by the charges located in the dielectric layer of a rectangular wave-guide requires efficient integration techniques. Due to the characteristics and the oscillatory nature of the function to be integrated, the use of the Filon's method together with a convergence analysis is adequate. However, the application of this numerical integration technique can lead to numerical instabilities in the result. For this reason, in this research work we have presented two different methods to deal with these numerical errors of integration: SSA/MSSA and GPR. In this way it is possible to clean the electrostatic potential avoiding subsequent errors in the calculation of the electrostatic field.

Suggested Citation

Berenguer, Andres and Coves, A. and Bronchalo, E. and Mesa, Francisco, Analysis of Mathematical Techniques for the Calculation of the Electrostatic Field in a Dielectric-Loaded Waveguide (June 17, 2019). PhotonIcs & Electromagnetics Research Symposium, Forthcoming. Available at SSRN: https://ssrn.com/abstract=3472705

Andres Berenguer (Contact Author)

Miguel Hernandez University ( email )

Elche Campus
Avda. del Ferrocarril, s/n
Elche, Alicante 03202
Spain

Santander Bank ( email )

Ciudad Financiera Santander
Avenida de Cantabria sn
Boadilla del Monte, Madrid 28660
Spain
0034625539232 (Phone)

A. Coves

Universidad Miguel Hernández de Elche

Avenida de la Universidad s/n
Elche, Alicante 03202
Spain

E. Bronchalo

Universidad Miguel Hernández de Elche

Avenida de la Universidad s/n
Elche, Alicante 03202
Spain

Francisco Mesa

University of Seville

Avda. del Cid s/n
Sevilla, Sevilla 41004
Spain

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