7th IMRMPT

Abstract

Abstract information

English title:	transfer matrix method in multilayer applications: a simulation
Spanish title:	m�todo matriz de transferencia en aplicaciones multicapa: una simulaci�n
English abstract:	This document analyzes the propagation of electromagnetic radiation through stratified media, which forms systems that are usually known as photonic crystals. A first analysis includes a system composed by a thin film deposited in a substrate. The method of transfer matrix was used in order to simulate the system and thus obtain the behavior of the reflectance and transmittance functions. After extrapolating the transfer matrix method to include N stratified media, optical characteristics such as the band energy (forbidden energy) were obtained. In the current research, the method was applied to waveguides as a particular example; the influence of some parameters such as the dielectric constant (E), refractive index (n), thickness of the media (d) and frequency of the incident wave (w) on the energy gap was determined. The simulation by means of the transfer matrix allowed to calculate the transmittance and reflectance of waveguide for systems with N media, whose thicknesses lie within the {10}^{-9}m regime, showing the permitted energy levels. Additionally, the simulation is a reliable tool in order to study the approximate behavior of radiation through waveguides, allowing us to adjust the aforementioned parameters and determine if whether or not exotic, unexpected, or significantly relevant phenomena, which are worth studying, arise.
Spanish abstract:	La presente propuesta es un estudio en la propagaci�n de la radiaci�n electromagn�tica a trav�s de medios estratificados, usualmente conocidos como cristales fot�nicos. En un primer an�lisis se desarroll� un sistema conformado por una pel�cula delgada depositada sobre un sustrato. El sistema se simul� con el m�todo de matriz de transferencia obteniendo el comportamiento de las funciones de transmitancia y reflectancia. En una extrapolaci�n del m�todo de matriz de transferencia para sistemas de N medios estratificados, se obtuvo caracter�sticas �pticas como el gap (energ�a prohibida). En el caso particular de la presente investigaci�n el m�todo se aplico en gu�as de onda, en las que se determin� la dependencia del gap en funci�n de par�metros como: constante diel�ctrica (E), �ndice de refracci�n (n), espesor de los medios (d) y frecuencia incidente w. La simulaci�n a trav�s del m�todo de matriz de transferencia permiti� calcular la transmitancia y reflectancia en gu�as de onda para sistemas de N medios, con espesores del orden {10}^{-9}m, mostrando los niveles de energ�a permitidos. As� mismo, la simulaci�n es una herramienta confiable para estudiar el comportamiento aproximado de la radiaci�n a trav�s de gu�as de onda, permitiendo ajustar los par�metros mencionados previamente y determinar si existe el surgimiento de fen�menos ex�ticos, no esperados o con relevancia considerable que valgan la pena estudiar en detalle.
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Authors

Name	Institution	Email
Raul Edgardo Castiblanco Suarez	Universidad Cat�lica de Colombia	recastiblanco@ucatolica.edu.co
Alejandro Ferrero	Universidad Cat�lica de Colombia	aferrero@ucatolica.edu.co
german anibal mendez merchan	Universidad Cat�lica de Colombia	gamendez@ucatolica.edu.co

Presentation

Room:	Principal Room
Date:	June 7, 2023
Hour:	08:00 - 08:20

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7^th IMRMPT
Seventh International Meeting for Researchers in Materials and Plasma Technology

Previous editions:

        1st IMRMPT 2011
        2nd IMRMPT 2013
        3rd IMRMPT 2015
        4th IMRMPT 2017
        5th IMRMPT 2019
        5+1 IMRMPT 2021

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