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Optical phase space,Wigner representation, and invariant quality parameters

Simon, R and Mukunda, N (2000) Optical phase space,Wigner representation, and invariant quality parameters. In: Journal of the Optical Society of America - A-Optics,Image Science and Vision, 17 (12). 2440-2463.

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Official URL: http://www.opticsinfobase.org/abstract.cfm?URI=jos...

Abstract

Wigner's quasiprobability and related functional and operator methods of quantum mechanics have recently played an important role in optics. We present an account of some of these developments. The symmetry structures underlying the ray and wave approaches to paraxial optics are explored in some detail, and the manner in which the Wigner phase-space representation captures the merits of both approaches is brought out. A fairly self-contained analysis of the second or intensity moments of general astigmatic partially coherent beams and of their behavior under transmission through astigmatic first-order optical systems is presented. Geometric representations of the intensity moments that render the quality parameters or polynomial invariants manifest are discussed, and the role of the optical uncertainty principle in assigning unbeatable physical bounds for these invariants is stressed. Measurement of the ten intensity moments of an astigmatic partially coherent beam is considered

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Optical Socirty of America.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited: 25 Aug 2004
Last Modified: 09 Jan 2012 08:37
URI: http://eprints.iisc.ernet.in/id/eprint/931

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