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

Dayong Wang; Avi Pe'er; Adolf W. Lohmann; Asher A. Friesem

doi:10.1117/12.402571

9 October 2000 Theory of the variable coordinate transformation systems in the framework of Wigner algebra

Dayong Wang, Avi Pe'er, Adolf W. Lohmann, Asher A. Friesem

Proceedings Volume 4221, Optical Measurement and Nondestructive Testing: Techniques and Applications; (2000) https://doi.org/10.1117/12.402571
Event: Optics and Optoelectronic Inspection and Control: Techniques, Applications, and Instruments, 2000, Beijing, China

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.

Citation Download Citation

Dayong Wang, Avi Pe'er, Adolf W. Lohmann, and Asher A. Friesem "Theory of the variable coordinate transformation systems in the framework of Wigner algebra", Proc. SPIE 4221, Optical Measurement and Nondestructive Testing: Techniques and Applications, (9 October 2000); https://doi.org/10.1117/12.402571

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