Beer's law in semiconductor quantum dots

TL;DR

This paper analyzes how the distribution of transition dipole moments in semiconductor quantum dots affects their optical properties, providing explicit formulas for polarization and absorption length.

Contribution

It introduces analytical expressions that account for dipole moment distribution effects on optical behavior in quantum dot ensembles.

Findings

Dipole moment distribution significantly alters polarization.

Distribution impacts Beer's absorption length.

Explicit formulas for these effects are derived.

Abstract

The propagation of a coherent optical linear wave in an ensemble of semiconductor quantum dots is considered. It is shown that a distribution of transition dipole moments of the quantum dots changes significantly the polarization and Beer's absorption length of the ensemble of quantum dots. Explicit analytical expressions for these quantities are presented.