Single-shot diffraction-limited imaging through scattering layers via bispectrum analysis

Abstract

Recently introduced speckle-correlations based techniques enable noninvasive imaging of objects hidden behind scattering layers. In these techniques the hidden object Fourier amplitude is retrieved from the scattered light autocorrelation, and the lost Fourier phase is recovered via iterative phase-retrieval algorithms, which suffer from convergence to wrong local-minima solutions and cannot solve ambiguities in object-orientation. Here, inspired by notions used in astronomy, we experimentally demonstrate that in addition to Fourier amplitude, the object phase information is naturally and inherently encoded in scattered light bispectrum (the Fourier transform of triple-correlation), and can also be extracted from a single high-resolution speckle pattern, based on which we present a single-shot imaging scheme to deterministically and unambiguously retrieve diffraction-limited images of objects hidden behind scattering layers.

5 pages, 6 figures

References in corpus (3)

• Non-invasive real-time imaging through scattering layers and around corners via speckle correlations
• Controlling light in scattering media noninvasively using the photo-acoustic transmission-matrix
• Light Focusing and Two-Dimensional Imaging Through Scattering Media using the Photoacoustic Transmission-Matrix with an Ultrasound Array

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• Depth-Resolved Speckle-Correlations Imaging through Scattering Layers
• Color imaging through the scattering media based on phase retrieval with triple correlation
• Non-invasive single-shot recovery of point-spread function of a memory effect based scattering imaging system
• Deconvolved Image Restoration from Autocorrelations
• Non-invasive color imaging through scattering medium under broadband illumination
• Polarized hyperspectral imaging with single fiber bundle via incoherent light transmission matrix approach