title: Experimental compressive phase space tomography.
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.
authors.affiliation: Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA. lei_tian@mit.edu
authors.forename: Lei
authors.initials: L
authors.lastname: Tian
authors.forename: Justin
authors.initials: J
authors.lastname: Lee
authors.forename: Se Baek
authors.initials: SB
authors.lastname: Oh
authors.forename: George
authors.initials: G
authors.lastname: Barbastathis
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D044962:Data Compression; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000706:statistics & numerical data; D007368:Interferometry; D055620:Optical Phenomena; D041623:Tomography, Optical Coherence / Q000379:methods* / Q000706:statistics & numerical data