Mesoscopic sensitivity of speckles in disordered nonlinear media to changes of disordered potential

TL;DR

This paper demonstrates that in disordered nonlinear media, the sensitivity of speckle patterns to potential changes grows with sample size, leading to multiple solutions for wave distribution that increase exponentially.

Contribution

It reveals the mesoscopic sensitivity of speckle patterns in nonlinear media and shows the divergence of solutions with increasing sample size.

Findings

Sensitivity increases with sample size

Multiple solutions for wave density distribution exist

Number of solutions grows exponentially with size

Abstract

We show that the sensitivity of wave speckle patterns in disordered nonlinear media to changes of scattering potential increases with sample size. For large enough sample size this quantity diverges, which implies that at given coherent wave incident on a sample there are multiple solutions for the spatial distribution of the wave's density. The number of solutions increases exponentially with the sample size.