Speckle Engineering through Singular Value Decomposition of the Transmission Matrix

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 nonlocal correlations. Moreover, we show that the reach of our method extends also along the axial dimension, allowing volumetric speckle engineering behind scattering layers.

Automated summary

The research presents a method for controlling speckle correlations behind a scattering medium through the singular value decomposition of the transmission matrix. This allows for controlling speckle grain size and shape, as well as realizing patterns with nonlocal correlations. The method also extends to volumetric speckle engineering along the axial dimension behind scattering layers.