Discrete Anderson Speckle

TL;DR

This paper investigates the properties of discrete speckle patterns in disordered photonic lattices exhibiting Anderson localization, revealing unique coherence features and defining a new regime called discrete Anderson speckle.

Contribution

It introduces the concept of discrete Anderson speckle, characterizes its unique coherence properties, and links speckle fluctuations to Anderson localization effects.

Findings

Localization affects speckle fluctuations

Spatial coherence narrows with localization

Coherence volume remains fixed during propagation

Abstract

When a disordered array of coupled waveguides is illuminated with an extended coherent optical field, discrete speckle develops: partially coherent light with a granular intensity distribution on the lattice sites. The same paradigm applies to a variety of other settings in photonics, such as imperfectly coupled resonators or fibers with randomly coupled cores. Through numerical simulations and analytical modeling, we uncover a set of surprising features that characterize discrete speckle in one- and two-dimensional lattices known to exhibit transverse Anderson localization. Firstly, the fingerprint of localization is embedded in the fluctuations of the discrete speckle and is revealed in the narrowing of the spatial coherence function. Secondly, the transverse coherence length (or speckle grain size) is frozen during propagation. Thirdly, the axial coherence depth is independent of the axial position, thereby resulting in a coherence voxel of fixed volume independently of position. We take these unique features collectively to define a distinct regime that we call discrete Anderson speckle.