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Proceedings Paper

Theory of the variable coordinate transformation systems in the framework of Wigner algebra
Author(s): Dayong Wang; Avi Pe'er; Adolf W. Lohmann; Asher A. Friesem
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Paper 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.

Paper Details

Date Published: 9 October 2000
PDF: 5 pages
Proc. SPIE 4221, Optical Measurement and Nondestructive Testing: Techniques and Applications, (9 October 2000); doi: 10.1117/12.402571
Show Author Affiliations
Dayong Wang, Beijing Polytechnic Univ. (China)
Avi Pe'er, Weizmann Institute of Science (Israel)
Adolf W. Lohmann, Weizmann Institute of Science (Germany)
Asher A. Friesem, Weizmann Institute of Science (Israel)

Published in SPIE Proceedings Vol. 4221:
Optical Measurement and Nondestructive Testing: Techniques and Applications
FeiJun Song; Frank Chen; Michael Y.Y. Hung; H.M. Shang, Editor(s)

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