Speckle engineering through singular value decomposition of the transmission matrix

Louisiane Devaud (1) , Bernhard Rauer (1) , Jakob Melchard (2) , Matthias Kühmayer (2) , Stefan Rotter (2) , Sylvain Gigan (3)

1 LKB [Collège de France] - Laboratoire Kastler Brossel
2 TU Wien - Vienna University of Technology = Technische Universität Wien
3 LKB (Lhomond) - Laboratoire Kastler Brossel

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.

Mots clés: Scattering theory; Random & disordered media; Light scattering

Domaines: Physique Atomique [physics.atom-ph]

Louisiane Devaud, Bernhard Rauer, Jakob Melchard, Matthias Kühmayer, Stefan Rotter, et al.. Speckle engineering through singular value decomposition of the transmission matrix. Physical Review Letters, 2021, 127 (9), ⟨10.1103/PhysRevLett.127.093903⟩. ⟨hal-03477754⟩