Figures-of-merit of Anderson localization cavities in membrane-based periodic-on-average random templates

Anderson localization of light is an exotic mesoscopic phenomenon sustained in disordered systems through the self-interference of multiply scattered light. The localized modes are essentially eigenfunctions of the structural disorder, and define the resonances in the system. In this paper, we report on the computed figures-of-merit of Anderson cavities in two-dimensional membrane based structures, in which the disorder is written on a periodic-on-average template. We propose a disorder parameter that better reflects the randomization of the lattice points as compared to the conventionally used percentage disorder strength. Our results investigate the viability of such cavities in applications such as random lasing and cavity quantum electrodynamics.