Abstract
Various speckle-based computational imaging techniques that exploit the ability of scattering media to transfer hidden information into the speckle pattern have recently been demonstrated. Current implementations suffer from several drawbacks associated with the use of conventional scattering media (CSM), such as their time-consuming characterization, instability with time, and limited memory-effect range. Here we show that by using a random dielectric metasurface diffuser (MD) with known scattering properties, many of these issues can be addressed. We experimentally demonstrate an imaging system with the ability to retrieve complex field values using a MD and the speckle-correlation scattering matrix method. We explore the mathematical properties of the MD transmission matrix such as its correlation and singular value spectrum to expand the understanding about both MDs and the speckle-correlation scattering matrix approach. In addition to a large noise tolerance, reliable reproducibility, and robustness against misalignments, using the MD allows us to substitute the laborious experimental characterization procedure of the CSM with a simple simulation process. Moreover, dielectric MDs with identical scattering properties can easily be mass-produced, thus enabling real-world applications. Representing a bridge between metasurface optics and speckle-based computational imaging, this work paves the way to extending the potentials of diverse speckle-based computational imaging methods for various applications such as biomedical imaging, holography, and optical encryption.
Highlights
Imaging through scattering media is one of the most challenging problems in optics, as the passage of coherent light through scatterers leads to complicated speckle patterns
The speckle patterns generated by the objects through the metasurface diffuser (MD) are plotted in Figs. 4(c) and 4(d)
We investigated the mathematical properties of the T matrix of the MD and demonstrated its performance as a scattering medium in the SSM method
Summary
Imaging through scattering media is one of the most challenging problems in optics, as the passage of coherent light through scatterers leads to complicated speckle patterns. Various methods for imaging objects through scattering media, such as optical coherence tomography [1], wavefront engineering [2], speckle correlation based on the memory effect [3,4], and the transmission matrix [5], have been reported. Progress has been made toward developing diverse speckle-based computational imaging techniques for retrieving depth or three-dimensional information. We explore the mathematical properties of the transmission matrix (T), such as the correlation between its columns and the randomness of its entries indicated by the singular value spectrum These properties give important insight into the optical properties of the MD as a scattering medium and clarify the required operating conditions of the SSM method
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