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Speckle Engineering through Singular Value Decomposition of the Transmission Matrix
Louisiane Devaud1, Bernhard Rauer1, Jakob Melchard2
1Laboratoire Kastler Brossel, ENS-Université PSL, CNRS, Sorbonne Université, Collège de France, 24 rue Lhomond, 75005 Paris, France.
Physical Review Letters
|September 10, 2021
Summary
Researchers engineered speckle correlations using singular value decomposition of the transmission matrix. This method controls speckle patterns in 3D, enabling new applications in optics.
Area of Science:
- Optics and Photonics
- Wave Phenomena
Background:
- Speckle patterns are fundamental in optics, with applications requiring precise control over spatial correlations.
- Existing methods for speckle control are limited in their ability to engineer complex correlation properties.
Purpose of the Study:
- To develop a novel method for engineering speckle correlations behind scattering media.
- To demonstrate control over speckle grain size, shape, and nonlocal correlations.
- To extend speckle engineering into the volumetric (axial) dimension.
Main Methods:
- Utilized singular value decomposition (SVD) of the transmission matrix.
- Applied SVD to precisely manipulate the optical field transmitted through a scattering medium.
Main Results:
- Achieved precise control over speckle grain size and shape.
- Demonstrated the creation of speckle patterns with nonlocal correlations.
- Successfully extended speckle engineering along the axial dimension for volumetric control.
Conclusions:
- The proposed method offers unprecedented control over speckle correlations.
- This technique enables volumetric speckle engineering, opening new avenues for optical applications.
- Singular value decomposition provides a powerful tool for manipulating complex light fields behind scattering media.
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