Banca de DEFESA: RENATO FERREIRA DUTRA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : RENATO FERREIRA DUTRA
DATA : 25/07/2018
HORA: 15:00
LOCAL: SALA DO PROIN
TÍTULO:

Photonic Equivalent to Hofstadter Butterfly

PALAVRAS-CHAVES:

optical transmission, edge states, butterfly Hofstadter  

PÁGINAS: 66
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

In the present work we do the theoretical study of the propagation of electromagnetic waves in a multilayer system, whose refractive index of each layer is modulated by the function that describes the potential of the one-dimensional Harper model. We apply the transfer matrix method to obtain the transmittance spectra as a function of the reduced frequency w/w₀. In order to identify possible edge states or topological states, we calculate the transmittance spectrum as a function of w/w₀ and the parameter f for three cases: first, when layer thicknesses are given by the optical-length ratio I_jd_j=l₀/4, where I_j is the refractive index of the layer j; the second, when all thicknesses of the layers are equal, d_j=d; and finally when the thicknesses of the layers are related by  d_2j=2d_2j+1. In addition, we obtained the transmittance spectrum as a function of the periodicity control parameter b. At the critical point l=0.5, we reproduce the photon equivalent of the Hofstadter butterfly, which corresponds to a critical state in the metal-insulating transition, that is, for l >0.5, the system is equivalent to a state and when l >0.5, the system is equivalent to an insulating state.

MEMBROS DA BANCA:
Presidente - 1354851 - MANOEL SILVA DE VASCONCELOS
Interno - 345638 - EUDENILSON LINS DE ALBUQUERQUE
Externo à Instituição - FABIO FERREIRA DE MEDEIROS - UFCG