Signature of phase singularities in diffusive regime in one dimensional disordered lattices: Interplay and qualitative analysis

TL;DR

This paper investigates how phase singularities emerge in speckle patterns within disordered 1D waveguide lattices, revealing their onset and relation to diffusive wave propagation through numerical analysis.

Contribution

It provides the first quantitative analysis of phase singularity onset and diffusive behavior in 1D disordered waveguide lattices with controlled weak disorder.

Findings

Observation of phase singularities in speckle patterns

Quantitative analysis of singularity onset

Correlation between singularities and diffusive wave propagation

Abstract

Co-existence and interplay between mesoscopic light dynamics with singular optics in spatially random but temporally coherent disordered waveguide lattices is reported. Two CW light beams of 1.55 micron operating wavelength are launched as inputs to 1D waveguide lattices with controllable weak disorder in refractive index profile. Direct observation of phase singularities in the speckle pattern along the length is numerically demonstrated. Quantitative analysis of onset of such singular behavior and diffusive wave propagation is analyzed for the first time.