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Crystals 2016, 6(12), 161; doi:10.3390/cryst6120161

Structural and Spectral Properties of Deterministic Aperiodic Optical Structures

1
Department of Electrical and Computer Engineering & Photonics Center, Boston University, 8 Saint Mary’s St., Boston, MA 02215, USA
2
Division of Materials Science & Engineering, Boston University, 15 Saint Mary’s St., Brookline, MA 02446, USA
3
Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, MA 02215, USA
4
Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro-RJ 21941-972, Brazil
*
Author to whom correspondence should be addressed.
Academic Editor: Enrique Maciá Barber
Received: 25 October 2016 / Revised: 30 November 2016 / Accepted: 2 December 2016 / Published: 9 December 2016
(This article belongs to the Special Issue Structure and Properties of Quasicrystals 2016)
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Abstract

In this comprehensive paper we have addressed structure-property relationships in a number of representative systems with periodic, random, quasi-periodic and deterministic aperiodic geometry using the interdisciplinary methods of spatial point pattern analysis and spectral graph theory as well as the rigorous Green’s matrix method, which provides access to the electromagnetic scattering behavior and spectral fluctuations (distributions of complex eigenvalues as well as of their level spacing) of deterministic aperiodic optical media for the first time. View Full-Text
Keywords: aperiodic structures; light scattering aperiodic structures; light scattering
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Dal Negro, L.; Wang, R.; Pinheiro, F.A. Structural and Spectral Properties of Deterministic Aperiodic Optical Structures. Crystals 2016, 6, 161.

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