Wigner distribution function of volume holograms

Wigner distribution function of volume holograms.

Based on a linear systems approach, we derive the Wigner distribution function (WDF) of a 4f imager with a volume holographic three-dimensional pupil; then we obtain the WDF of the volume hologram itself by using the shearing properties of the WDF. Two common configurations, plane and spherical wave reference volume holograms, are examined in detail. The WDF elucidates the shift variant nature ...

Volume Holograms

Control of volume holograms

Received May 9, 1991; revised manuscript received February 14, 1992; accepted February 25, 1992 The mismatch in the number of degrees of freedom supported by volume holograms and the boundary fields that control them limits the dynamic range of recorded holograms. For holograms controlled by using fractal sampling grids, the maximum dynamic range falls inversely with the minimum number of expos...

Imaging using volume holograms

Demetri Psaltis, FELLOW SPIE California Institute of Technology Department of Electrical Engineering 1200 East California Boulevard MS 136-93 Pasadena, California 91125 Abstract. We present an overview of imaging systems that incorporate a volume hologram as one of the optical field processing elements in the system. We refer to these systems as volume holographic imaging (VHI) systems. The vol...

Applications of the Wigner Distribution Function in Signal Processing

We present a review of the applications of the Wigner distribution function in various areas of signal processing: amplitude and phase retrieval, signal recognition, characterization of arbitrary signals, optical systems and devices, and coupling coefficient estimation in phase space. Although reference is made to specific signals and systems, the mathematical formulation is general and can be ...