Experimental compressive phase space tomography
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Published version
Accepted manuscript
Date
2012-04-09
Authors
Tian, Lei
Lee, Justin
Oh, Se Baek
Barbastathis, George
Version
OA Version
Citation
Lei Tian, Justin Lee, Se Baek Oh, George Barbastathis. 2012. "Experimental compressive phase space tomography.." Opt Express, Volume 20, Issue 8, pp. 8296 - 8308. doi: 10.1364/OE.20.008296
Abstract
Phase space tomography estimates correlation functions entirely from snapshots in the evolution of the wave function along a time or space variable. In contrast, traditional interferometric methods require measurement of multiple two-point correlations. However, as in every tomographic formulation, undersampling poses a severe limitation. Here we present the first, to our knowledge, experimental demonstration of compressive reconstruction of the classical optical correlation function, i.e. the mutual intensity function. Our compressive algorithm makes explicit use of the physically justifiable assumption of a low-entropy source (or state.) Since the source was directly accessible in our classical experiment, we were able to compare the compressive estimate of the mutual intensity to an independent ground-truth estimate from the van Cittert-Zernike theorem and verify substantial quantitative improvements in the reconstruction.
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Copyright 2012 Optical Society of America.