Banca de DEFESA: LUCIELLY DE SOUZA ALVES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : LUCIELLY DE SOUZA ALVES
DATE: 10/02/2023
TIME: 09:00
LOCAL: Online
TITLE:

Light scattering by materials having PT symmetry

KEY WORDS:

PT symmetry; scattering theory

PAGES: 71
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Áreas Clássicas de Fenomenologia e suas Aplicações
SPECIALTY: Ótica
SUMMARY:

The objective of this dissertation is to analyze, with a certain level of detail, the scattering of monochromatic electromagnetic radiation by an isotropic and linear dielectric material having $\mathcal{PT}$ symmetry in the Born approximation. Studying the light scattered by a specific material can give us useful information about the nature of the material. Thus, we verify how light scattering behaves in a material that has $\mathcal{PT}$ symmetry and how the presence of gain and loss within the material can affect the spectral density of the scattered field. Spectral density is a quantity that can be measured directly in the laboratory. We verified that, for certain gain and loss distributions, the scattered field direction can be varied without changing the scatterer geometry. The non-Hermitian character of the refractive index of the scatterer is also reflected in the scattered intensity pattern, which now becomes asymmetric with respect to the scattering angle.

We begin in chapter 1 with a brief motivation about the development of the work. Chapter 2 presents the fundamental concepts of $\mathcal{PT}$ symmetry and their respective applications in the field of quantum mechanics, discussing the most important properties that describe this symmetry. We will also make the connection of such symmetry with the research field of optics.
Chapter 3 presents the classical theory of scattering and the wave equation satisfied by the electric field in the scalar approximation, starting from the set of Maxwell's equations. The formal theory of scattering for scalar fields and the representation of multiple scattering with the Born series will also be exposed. We will discuss how such approximations are given and their applications of interest to our work. In chapter 4, we will deal with the scattering of light by a $\mathcal{PT}$-symmetric material in the first Born approximation. Our main conclusion is that the scattered field directions can undergo changes depending on the presence of gain and loss in the scattering material. Finally, in chapter 5, we discuss our conclusions and some future perspectives.

BANKING MEMBERS:
Presidente - 1411788 - PAULO CESAR AGUIAR BRANDAO FILHO
Interno(a) - 1695829 - ANDRE DE LIMA MOURA
Externo(a) à Instituição - ALEX EMANUEL BARROS COSTA - IFAL