Incomplete Photonic Bandgap as Inferred from the Speckle Pattern of Scattered Light Waves

TL;DR

This paper shows that analyzing speckle patterns from disordered photonic crystals can accurately determine the width of incomplete photonic bandgaps, linking it to the angular anisotropy of intensity correlations.

Contribution

It introduces a quantitative relation between the incomplete bandgap width and the angular anisotropy of speckle intensity correlations in disordered photonic crystals.

Findings

Speckle patterns reveal the stop-band width.

A quantitative relation between bandgap width and anisotropy is established.

Speckle analysis is a sensitive tool for photonic bandgap characterization.

Abstract

Motivated by recent experiments on intensity correlations of the waves transmitted through disordered media, we demonstrate that the speckle pattern from disordered photonic crystal with incomplete band-gap represents a sensitive tool for determination the stop-band width. We establish the quantitative relation between this width and the {\em angualar anisotropy} of the intensity correlation function.