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

TL;DR

This paper introduces a novel single-shot imaging method that uses bispectrum analysis to accurately reconstruct diffraction-limited images of objects hidden behind scattering layers, overcoming limitations of previous phase-retrieval techniques.

Contribution

The authors demonstrate that object phase information is inherently encoded in the scattered light bispectrum, enabling deterministic and unambiguous imaging from a single speckle pattern.

Findings

Successful experimental demonstration of single-shot diffraction-limited imaging.

Bispectrum analysis retrieves both amplitude and phase of the object.

Method overcomes convergence issues of iterative phase retrieval.

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.