Eigenstate statistics and optical properties of one-dimensional disordered photonic crystals

Kaliteevski, MA; Nikolaev, VV; Abram, RA

Abstract

Optical eigenstates in one-dimensional disordered photonic crystals were studied. The threshold disorder level was established below which the probability of appearance of an eigenstate at the photonic bandgap center is negligible. The threshold is reached when the relative fluctuation in the optical lengths of the structure periods becomes equal to the square root of one-third of the relative bandgap width. The dependence of the ensemble-averaged structure transmission coefficient on the fluctuation of the period optical length has a break corresponding to the threshold fluctuation.

Citation

Kaliteevski, M., Nikolaev, V., & Abram, R. (2005). Eigenstate statistics and optical properties of one-dimensional disordered photonic crystals. Physics of the Solid State, 47(10), 1948-1957. https://doi.org/10.1134/1.2087751

• Journal Article Type: Article
• Publication Date: Oct 1, 2005
• Deposit Date: Dec 16, 2010
• Journal: Physics of the Solid State
• Print ISSN: 1063-7834
• Electronic ISSN: 1090-6460
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 47
• Issue: 10
• Pages: 1948-1957
• DOI: https://doi.org/10.1134/1.2087751
• Keywords: Synthetic opals, Anderson localization, Weak localization, Scaling theory, Light, Diffusion, Systems, Average, Absence.
• Public URL: https://durham-repository.worktribe.com/output/1559546