Work

Ab initio spatial phase retrieval via intensity triple correlations

Year: 2023

Type: article

Abstract: Second-order intensity correlations from incoherent emitters can reveal the Fourier transform modulus of their spatial distribution, but retrieving the phase to enable completely general Fourier inversion to real space remains challenging. Phase retrieval via the third-order intensity correlations has relied on special emitter configurations which simplified an unaddressed sign problem in the computation. Without a complete treatment of this sign problem, the general case of retrieving the Fourier phase from a truly arbitrary configuration of emitters is not possible. In this paper, a general method for ab initio phase retrieval via the intensity triple correlations is described. Simulations demonstrate accurate phase retrieval for clusters of incoherent emitters which could be applied to imaging stars or fluorescent atoms and molecules. With this work, it is now finally tractable to perform Fourier inversion directly and reconstruct images of arbitrary arrays of independent emitters via far-field intensity correlations alone.

Source: Optics Express

DOI: 10.1364/oe.495920

Authors: Nolan Peard, Kartik Ayyer

Institutions: Deutsches Elektronen-Synchrotron DESY, Center for Free-Electron Laser Science, Stanford University, Universität Hamburg, Max Planck Institute for the Structure and Dynamics of Matter

Language: English

Topic: Adaptive optics and wavefront sensing

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

Funders: Hertz Foundation, Deutsche Forschungsgemeinschaft, Deutsches Elektronen-Synchrotron