The influence of a power law distribution of cluster size on the light transmission of disordered 1D photonic structures

TL;DR

This study examines how a power law distribution of cluster sizes in disordered 1D photonic structures affects light transmission, revealing a sigmoidal relationship within a specific parameter range.

Contribution

It introduces a novel analysis of how cluster size distribution exponent influences light transmission in disordered photonic structures.

Findings

Light transmission varies with the power law exponent a.

The relationship between a and transmission follows a sigmoidal trend.

Transmission behavior is characterized within the photonic band gap.

Abstract

A better understanding of the optical properties of random photonic structures is beneficial for many applications, such as random lasing, optical imaging and photovoltaics. Here we investigated the light transmission properties of disordered photonic structures in which the high refractive index layers are aggregated in clusters. We sorted the size of the clusters from a power law distribution tuning the exponent a of the distribution function. The sorted high refractive layer clusters are randomly distributed within the low refractive index layers. We studied the total light transmission, within the photonic band gap of the corresponding periodic crystal, as a function of the exponent in the distribution. We observed that, for a within the interval [0,3.5], the trend can be fitted with a sigmoidal function.