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

Kaliteevski, MA; Nikolaev, VV; Abram, RA

Authors

MA Kaliteevski

VV Nikolaev

RA Abram



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.