Open AccessAnomalous optical Anderson localization in mixed one dimensional photonic quasicrystals
Author(s) -
Cunding Liu,
Mingdong Kong,
Bincheng Li
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.0a1297
Subject(s) - quasicrystal , anderson localization , photonics , photonic crystal , transfer matrix method (optics) , scaling , refractive index , physics , hamiltonian (control theory) , optics , phase (matter) , transfer matrix , condensed matter physics , materials science , quantum mechanics , mathematics , geometry , mathematical optimization , computer science , computer vision
Anomalous optical Anderson localization (AOAL) in mixed one-dimensional (1D) photonic quasicrystals with matching impedance is obtained when the average refractive index of left- and right-handed layers is approximately zero. The transport properties of ordinary and anomalous localization are investigated and compared. The difficulties in expressing analytically the scaling factors of the mixed photonic quasicrystals are illustrated from Hamiltonian-map analysis. An approach based on transfer matrix method is proposed to simulate the localization behavior. From the simulation, it is found that the narrow distribution of the phase shift is responsible for AOAL in the mixed photonic structures. The scaling factors of AOAL decrease with the broadening of the phase shift distribution. The maximum phase shifts of the mixed photonic structures determine the lower boundary of the anomalous localization.