Uma nova solução numérica para o ensino do espalhamento da luz em estruturas periódicas e quasi-periódicas

Abstract

This dissertation presents a methodology developed in order to help the teaching of light scattering in periodic and quasi-periodic structures to students with different degrees of knowledge about optics and electromagnetism. The methodology consists of exploring basic knowledge such as reflection, refraction, polarization and interference for the development of a numerical solution that generates the scattering spectrum of these structures. This numerical solution considers that the interaction of light with each interface generates a new source of energy. In this way, the total scattered energy is given by the sum of the components reflected by each interface. Knowing the scattering spectrum of a structure makes it possible to obtain different information about the structure and the environment in which it is inserted and, given the wide range of technological applications in different areas that use them, the development of new teaching approaches and analysis of these spectra, which include different audiences, is necessary. This document presents the theoretical foundation of the concepts involved in scattering, the methodology and the proposed numerical solution, as well as the spectra obtained in the simulation of structures with different profiles and the comparison of the solution with the transfer matrix method.