V WMSSE

Abstracts

Abstract information

English title:	Numerical solution of Maxwell's equations applied to a toroidal waveguide
Spanish title:	Soluci�n num�rica de las ecuaciones de Maxwell aplicadas a una gu�a de ondas toroidal
English abstract:	In this work, the synchrotron radiation in a toroidal vacuum chamber is calculated by varying the size of its cross-section a and the bending radius R, by including the parameter \epsilon=\sqrt{a/R}. Maxwell's equations are simplified by assuming that the characteristic frequency of the modes \omega \approx c/a\epsilon thus neglecting the higher-order terms in \epsilon. Frequencies and loss factors for the lowest modes in square and circular cross-section waveguides are calculated. Finally, based on our results, we define our coordinate system and solve Maxwell's equations by comparing the approximate results obtained with the precise ones obtained computationally.
Spanish abstract:	En este trabajo se calcula la radiaci�n de sincrotr�n en una c�mara de vac�o toroidal variando el tama�o de su secci�n transversal a y del radio de flexi�n R, mediante la inclusi�n del par�metro \epsilon=\sqrt{a/R}. Se simplifican las ecuaciones de Maxwell asumiendo que la frecuencia caracter�stica de los modos \omega \approx c/a\epsilon despreciando as� los t�rminos de orden superior en \epsilon. Se calculan las frecuencias y los factores de p�rdida para los modos m�s bajos en gu�as de ondas de secci�n transversal cuadrada y circular. Finalmente, a partir de los resultados se define un sistema coordenado propio y se resuelven las ecuaciones de Maxwell comparando los resultados obtenidos de manera aproximada frente a los precisos obtenidos de manera computacional.
Topic:
Presentation Type:
Speaker:

Authors

Name	Institution	Email
Jonatan Gonzalez	Universidad Nacional de Colombia	jegonzalezba@unal.edu.co
Jos� Jos� Barba Ortega	Universidad Nacional de Colombia	jjbarbao@unal.edu.co

Presentation

Room:	Principal Room
Date:	26 July 2022
Hour:	09:00 - 09:20

Back

V WMSSE
V Workshop on Modeling and Simulation for Science and Engineering

Previous editions:
I WMSSE
II WMSSE
III WMSSE
IV WMSSE

Contact information:
info@foristom.org
@FORISTOMFound
FORISTOMFoundation
foristomfoundation
Copyright 2022 FORISTOM
All rights reserved