Resampling the transmission matrix in an aberration-corrected Bessel mode basis

TL;DR

This paper introduces a method using Bessel mode basis to accurately measure the optical transmission matrix, overcoming sampling and aberration issues, to better understand light transport in transparent media.

Contribution

It presents a novel approach employing Bessel modes for transmission matrix measurement, improving accuracy in the presence of optical aberrations.

Findings

Accurate recovery of singular values and eigenmodes.

Overcomes sampling effects and aberrations in TM measurement.

Enhances understanding of light transport through transparent media.

Abstract

The study of the optical transmission matrix (TM) of a sample reveals important statistics of light transport through it. The accuracy of the statistics depends strongly on the orthogonality and completeness of the basis in which the TM is measured. While conventional experimental methods suffer from sampling effects and optical aberrations, we use a basis of Bessel modes of the first kind to faithfully recover the singular values, eigenvalues and eigenmodes of light propagation through a finite thickness of air.