Theoretical and Experimental Investigation into the Branched Flow Phenomenon of Light

TL;DR

This paper investigates the branched flow of light through theoretical modeling and experimental validation, revealing statistical properties and scaling laws of the phenomenon using wave-particle analogies and imaging techniques.

Contribution

It introduces a combined theoretical and experimental approach to study light branched flow, including new scaling laws and statistical analysis methods.

Findings

Validated the scaling law for statistical properties of branched flow

Demonstrated the wave-particle analogy in light flow behavior

Provided experimental data supporting theoretical predictions

Abstract

Branched flow can be observed when a laser beam is coupled into a soap film. This research theoretically explored the phenomenon through analogy between light wave and particles in form of Hamilton-Jacobian equation, further discussed the shape and statistics of the branched flow with Fokker-Plank equation and experimentally adopted the methods of interference imaging, computer image processing and so on to obtain the experiment data that could prove previously deduced scaling law concerning the statistical properties of the branched flow.