Abstract

The Wigner distribution function is a convenient way to describe image transformations in optical systems: spatial shearing, spatial frequency shearing, circular rotation, hyperbolic rotation, etc. The hyperbolic rotation can be represented as scaling of the Wigner distribution function with a separate scale factor for each axis direction. It is shown that if an optical system with positive lenses provides circular rotation of the WDF in the phase plane, with negative lenses it will provide hyperbolic rotation of the WDF function in this phase plane.

© 2015 Optical Society of America

Wigner distribution function in nonlinear optics

D. Dragoman
Appl. Opt. 35(21) 4142-4146 (1996)

Application of the Wigner distribution function to partially coherent light

Martin J. Bastiaans
J. Opt. Soc. Am. A 3(8) 1227-1238 (1986)

Phase Pupil Functions for Focal-Depth Enhancement Derived from a Wigner Distribution Function

Dobryna Zalvidea and Enrique E. Sicre
Appl. Opt. 37(17) 3623-3627 (1998)

Proposal for optical implementation of the Wigner distribution function

Gal Shabtay, David Mendlovic, and Zeev Zalevsky
Appl. Opt. 37(11) 2142-2144 (1998)

Wigner distribution function applied to third-order aberrations

D. Dragoman
Appl. Opt. 35(1) 161-168 (1996)