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Topological States in 1D Photonic Quasi-crystals

Published online by Cambridge University Press:  29 August 2014

M.S. Vasconcelos  and
E.L. Albuquerque
M.S. Vasconcelos
Affiliation:
Escola de Ciência e Tecnologia, UFRN, 59072-970, Natal – RN, Brazil
E.L. Albuquerque
Affiliation:
Departamento de Biofísica e Farmacologia, UFRN, 59072-970, Natal – RN, Brazil
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Abstract

We investigated theoretically the transmission spectra in one-dimensional photonic quasicrystals (1DPQ) made up from dielectric materials organized in accordance to a discrete varying electric permittivity profile that obeys an analogous of the quasiperiodic potential in the so-called Audry-André (AA) model, in order to modulate the refraction index. Our results show that due to the incommensurate dielectric distribution, the spectrum splits into a fractal set of pass- and forbidden-band structure. By studying the transmission spectra as a function of the modulation phase ϕ, we found boundary states lying within the gaps localized either on the left or on the right boundary of the system, characterizing the so-called topological states.

Keywords

quasicrystaldielectric propertiesfractal
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1698: Symposium II/JJ/KK – Materials, Processes and Devices for Nanophotonics, Nonlinear Optics and Resonant Optics , 2014 , mrss14-1698-ii08-07
Copyright
Copyright © Materials Research Society 2014 

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References

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