Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Solid State Communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be re ected in this document. Changes may have been made to this work since it was submitted for publication. A de nitive version was subsequently published in Solid State Communications, 158, 2013Communications, 158, , 10.1016Communications, 158, /j.ssc.2013.01.009.
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AbstractInfluence of the various types of disorder on propagation of light in onedimensional periodic structures is studied analytically using statistical approach based on a Fokker-Planck type equation. It is shown that light localization length behaves non-monotonically as a function of disorder amplitude in all the examined models except for purely geometric disorder. This feature is explained by crossover between weak disorder regime corresponding to gradual destruction of the reflecting properties of a photonic crystal and strong disorder regime, when periodic component of the refractive index can be treated as a perturbation. The region of small disorder is shown to be universal provided that a disorder parameter is properly introduced.