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Numerical proposal to solve Maxwell's equations in a toroidal waveguide

Authors

Gonzalez-Balaguera, J. , SANDOVAL AMADOR, ANDERSON ANDRES, VALBUENA NIÑO, ELY DANNIER, Barba-Ortega, J. , IOP

External publication

No

Means

J. Phys. Conf. Ser.

Scope

Proceedings Paper

Nature

Científica

JCR Quartile

SJR Quartile

SJR Impact

0.18

Publication date

01/01/2023

ISI

001007306700010

Abstract

In this contribution, we propose a numerical solution to the Maxwell equations to determine the electromagnetic fields in a toroidal dielectric wave-guide. Analyzing the relationship between the size of the cross-section of the toroid and its bending radius. We considered a sinusoidal time dependence of the electromagnetic field, then we just solve the Helmholtz equation in the waveguide. We propose a numerical way to solve this equation and analyze for to find the power radiation in each synchronous mode. We show a numerical method by calculating the frequencies and the loss factors for any mode in square, triangular, and round waveguides.