Open AccessTwo-dimensional photonic aperiodic crystals based on Thue-Morse sequence
Author(s) -
Luigi Moretti,
Vito Mocella
Publication year - 2007
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.015314
Subject(s) - aperiodic graph , photonic crystal , optics , photonics , scattering , photonic metamaterial , physics , density of states , band gap , square lattice , materials science , optoelectronics , condensed matter physics , mathematics , ising model , combinatorics
We investigate from a theoretical point of view the photonic properties of a two dimensional photonic aperiodic crystal. These structures are obtained by removing the lattice points from a square arrangement, following the inflation rules emerging from the Thue-Morse sequence. The photonic bandgap analysis is performed by means of the density of states calculation. The mechanism of bandgap formation is investigated adopting the single scattering model, and the Mie scattering. The electromagnetic field distribution can be represented as quasi-localized states. Finally, a generalized method to obtain aperiodic photonic structures has been proposed.