A complete method for ab initio phase retrieval via spatial intensity triple
correlations is described. Simulations demonstrate accurate phase retrieval for
clusters of classical incoherent emitters

Ayyer, Kartik

Chapman, Henry N.

Peard, Nolan

English

arXiv

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

arXiv.org e-Print Archive

Ab Initio Spatial Phase Retrieval via Intensity Triple Correlations

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

Peard, Nolan Hamilton

DESY

A complete method for ab initio phase retrieval via spatial intensity triple correlations is described. Simulations demonstrate accurate phase retrieval for clusters of classical incoherent emitters

Peard, N.

Ayyer, K.

Chapman, H.

MPG.PuRe