Speckle engineering through singular value decomposition of the transmission matrix

TL;DR

This paper introduces a method to engineer speckle patterns behind scattering media by applying singular value decomposition to the transmission matrix, enabling control over spatial correlations, grain size, shape, and volumetric properties.

Contribution

The study presents a novel approach using SVD of the transmission matrix for comprehensive speckle pattern control, including non-local and volumetric correlations.

Findings

Controlled speckle grain size and shape.

Achieved non-local speckle correlations.

Extended control along the axial dimension for volumetric speckle engineering.

Abstract

Speckle patterns are ubiquitous in optics and have multiple applications for which the control of their spatial correlations is essential. Here, we report on a method to engineer speckle correlations behind a scattering medium through the singular value decomposition of the transmission matrix. We not only demonstrate control over the speckle grain size and shape but also realize patterns with non-local correlations. Moreover, we show that the reach of our method extends also along the axial dimension, allowing volumetric speckle engineering behind scattering layers.