Banca de DEFESA: PAULO CÉSAR LINHARES DA SILVA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : PAULO CÉSAR LINHARES DA SILVA
DATA : 24/05/2019
HORA: 09:00
LOCAL: Auditório do PPGEEC
TÍTULO:

Daubechies Wavelets Application in Conjunction with the Vectorial Beam Propagation Method in the Analysis of Photonics Structures.  

PALAVRAS-CHAVES:

Daubechies Wavelets, VBPM, Photonics Structures

PÁGINAS: 60
GRANDE ÁREA: Engenharias
ÁREA: Engenharia Elétrica
SUBÁREA: Telecomunicações
ESPECIALIDADE: Sistemas de Telecomunicações
RESUMO:

Wavelets are mathematical tools that allow the decomposition, description or representation of a given function. Among the various types of wavelets, Daubechies has a peculiar property of having the compact support, which allows describing the behavior of functions with discontinuities or abrupt variations of values in frequency and/or time domain. It is possible to obtain its coefficients, integrals, and derivatives by means of numerical procedures. In this context, the propagation of signals in devices that propagate electromagnetic waves can be numerically analyzed with the aid of these types of wavelets. In this work, we use the Daubechies wavelets as base functions for joint application with the Beam Vector Propagation Method (VBPM). In this case, these functions are obtained by means of the change in the translation and resolution of the wavelets and by the use of the moment generating function, obtained as part of this study. From the obtained wavelet base, an algorithm was developed to calculate elementary matrices, specific to the VBPM, which is based on the finite element (FEM) method. As a convergence test of the VBPM with the new set of base functions obtained in this work, we analyzed the wave propagation in an electromagnetically coupled guide and the transfer of energy between a conventional optical fiber (COF) and a near-photonic crystal optical fiber (FQCF).

 

MEMBROS DA BANCA:
Presidente - 1422265 - JOSE PATROCINIO DA SILVA
Interno - 2524053 - ANTONIO LUIZ PEREIRA DE SIQUEIRA CAMPOS
Interno - 1412682 - VICENTE ANGELO DE SOUSA JUNIOR
Externa à Instituição - ANTONIO RONALDO GOMES GARCIA - UFERSA
Externo à Instituição - IDALMIR DE SOUZA QUEIROZ JÚNIOR - UFERSA