Phase Retrieval with an Opacity Constraint

We are investigating a novel 3-D imaging modality called Phase Retrieval with an Opacity Constraint for LAser IMaging (PROCLAIM) [1]. PROCLAIM data are collected by illuminating a 3-D object with a laser and making angle-angle intensity measurements of the reflected speckle pattern in the far field. A separate angle-angle intensity measurement is made for each of several laser frequencies. Properly formatted, these data represent samples of the 3-D Fourier intensity (square of the Fourier magnitude) of the illuminated object [2]. A 3-D FFT would give the 3-D autocorrelation of the object. In order to recover a 3-D image we must apply a phase-retrieval algorithm.