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Random Resonators and Prelocalized Modes in Disordered Dielectric Films

V. M. Apalkov·M. E. Raikh·B. Shapiro
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Abstract

Areal density of disorder-induced resonators with a high quality factor, $Q\gg 1$, in a film with fluctuating refraction index is calculated theoretically. We demonstrate that for a given $kl>1$, where $k$ is the light wave vector, and $l$ is the transport mean free path, when {\em on average} the light propagation is diffusive, the likelihood for finding a random resonator increases dramatically with increasing the correlation radius of the disorder. Parameters of {\em most probable} resonators as functions of $Q$ and $kl$ are found.

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V. M. Apalkov, M. E. Raikh, B. Shapiro. 2001-11-03. Random Resonators and Prelocalized Modes in Disordered Dielectric Films. https://doi.org/10.1103/physrevlett.89.016802

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