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Proceedings Paper

Finite optical Hamiltonian systems
Author(s): Kurt Bernardo Wolf; Natig M. Atakishiyev; Luis Edgar Vincent; Guillermo Krötzsch; Juvenal Rueda-Paz
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Paper Abstract

In this essay we finitely quantize the Hamiltonian system of geometric optics to a finite system that is also Hamiltonian, but where signals are described by complex N-vectors, which are subject to unitary transformations that form the group U(N). This group can be decomposed into U(2)-paraxial and aberration transformations. Proper irreducible representation bases are thus provided by quantum angular momentum theory. For one-dimensional systems we have waveguide models. For two-dimensional systems we can have Cartesian or polar sensor arrays, where digital images are subject to unitary rotation, gyration or asymmetric Fourier transformations, as well as a unitary map between the two arrays.

Paper Details

Date Published: 2 November 2011
PDF: 8 pages
Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 801161 (2 November 2011); doi: 10.1117/12.902162
Show Author Affiliations
Kurt Bernardo Wolf, Univ. Nacional Autónoma de México (Mexico)
Natig M. Atakishiyev, Univ. Nacional Autónoma de México (Mexico)
Luis Edgar Vincent, Ctr. de Investigación en Ciencia Aplicada y Tecnología Avanzada (Mexico)
Guillermo Krötzsch, Univ. Nacional Autónoma de México (Mexico)
Juvenal Rueda-Paz, Univ. Autónoma del Estado de Morelos (Mexico)


Published in SPIE Proceedings Vol. 8011:
22nd Congress of the International Commission for Optics: Light for the Development of the World
Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Rufino Díaz-Uribe; Rufino Díaz-Uribe; Rufino Díaz-Uribe, Editor(s)

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