On the degrees of freedom of the phase retrieval problem in phase space

Markus E. Testorf

doi:10.1117/12.2530100

6 September 2019 On the degrees of freedom of the phase retrieval problem in phase space

Markus E. Testorf

Proceedings Volume 11135, Unconventional and Indirect Imaging, Image Reconstruction, and Wavefront Sensing 2019; 111350J (2019) https://doi.org/10.1117/12.2530100
Event: SPIE Optical Engineering + Applications, 2019, San Diego, California, United States

Abstract

Phase-space tomography describes the recovery of signals from a tomographic reconstruction of the generalized radiance distribution with measurements being interpreted as projections of phase space. For coherent signals the phase space of the Wigner distribution function is a highly redundant signal representation. For efficient signal recovery based on phase-space information, it is necessary to address these redundancies. To understand the number of independent measurements necessary for the recovery of the WDF, Talbot self-imaging is used to derive a formalism for discrete phase-space tomography and signal recovery.

Citation Download Citation

Markus E. Testorf "On the degrees of freedom of the phase retrieval problem in phase space", Proc. SPIE 11135, Unconventional and Indirect Imaging, Image Reconstruction, and Wavefront Sensing 2019, 111350J (6 September 2019); https://doi.org/10.1117/12.2530100

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