Single-step transmission matrix retrieval for fast imaging through multi-mode fibers

TL;DR

This paper introduces a novel phase retrieval algorithm that significantly reduces the computational cost of reconstructing the transmission matrix of a disordered medium, enabling faster and more efficient imaging through multi-mode fibers.

Contribution

The authors develop a single-iteration phase retrieval method leveraging speckle correlations, outperforming existing iterative protocols in speed and measurement efficiency.

Findings

Reduces reconstruction time by an order of magnitude.

Requires fewer measurements than current methods.

Enables real-time imaging applications.

Abstract

Recovering the transmission matrix of a disordered medium is a challenging problem in disordered photonics. Usually, its reconstruction relies on a complex inversion that aims at connecting a fully-controlled input to the deterministic interference of the light field scrambled by the device. At the moment, iterative phase-retrieval protocols provide the fastest reconstructing frameworks, converging in a few tens of iterations. Exploiting the knowledge of speckle correlations, we construct a new phase retrieval algorithm that reduces the computational cost to a single iteration. Besides being faster, our method is effective also using less measurements than state-of-the-art protocols. Thanks to reducing computation time by one order of magnitude, our result can be groundbreaking for real-time optical operations in medical imaging.