Theory of the variable coordinate transformation systems in the framework of Wigner algebra

Dayong Wang; A. Pe'er; A. W. Lohmann; A. A. Friesem

doi:10.1117/12.402571

Theory of the variable coordinate transformation systems in the framework of Wigner algebra

Dayong Wang, A. Pe'er, A. W. Lohmann, A. A. Friesem

Beijing University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The propagation law of the Wigner distribution function in the first-order non-orthogonal optical systems is described by using the linear canonical transform integral. The Wigner matrices for the usual optical components (free space, spherical and cylindrical lenses, and linear phase filter) are presented in four-dimensional phase space domain. Then with Wigner algebra, we analyze basic and more general optical configurations for performing a set of linear unitary coordinate transformations. These configurations are comprised of refractive spherical and cylindrical lenses that are readily available.

Original language	English
Pages (from-to)	410-414
Number of pages	5
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	4221
DOIs	https://doi.org/10.1117/12.402571
State	Published - 2000
Externally published	Yes

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Theory of the variable coordinate transformation systems in the framework of Wigner algebra

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