Hiding the phase: the filling of the slope discrepancy Hilbert space

Darryl J. Sanchez; Denis W. Oesch

doi:10.1117/12.932282

15 October 2012 Hiding the phase: the filling of the slope discrepancy Hilbert space

Darryl J. Sanchez, Denis W. Oesch

Proceedings Volume 8520, Unconventional Imaging and Wavefront Sensing 2012; 852004 (2012) https://doi.org/10.1117/12.932282
Event: SPIE Optical Engineering + Applications, 2012, San Diego, California, United States

Abstract

Previous theoretical work, to first order, demonstrated that branch points are markers for photons carrying orbital angular momentum (OAM), but gave to indication of the flux associated with a given branch point distribution. In a parallel effort, the OAM flux as a ratio of the total flux is calculated, but that work relies on knowing the non-zero elements in the slope discrepancy Hilbert space. Here, we calculate the “size” of the slope discrepancy Hilbert space for our previously published data.

Citation Download Citation

Darryl J. Sanchez and Denis W. Oesch "Hiding the phase: the filling of the slope discrepancy Hilbert space", Proc. SPIE 8520, Unconventional Imaging and Wavefront Sensing 2012, 852004 (15 October 2012); https://doi.org/10.1117/12.932282

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