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Proceedings Paper • Open Access

Fractional order Fourier transform as a tool for analyzing multi-element optical system
Author(s): César O. Torres M.; Yezid Torres M.

Paper Abstract

The ABCD matrix formalism, the Collins formula and the complex amplitude distributions on two spherical surfaces of given curvature and spacing are adapted to the mathematical expression of fractional order Fourier transform. This result provides a general expression as a tool for analyzing complicated systems involving several lenses and mirrors separated by arbitrary distances; for this class of system it is sufficient to specify the ray transfer matrix and the order of fractional Fourier transform to characterize the system completely.

Paper Details

Date Published: 6 October 2003
PDF: 6 pages
Proc. SPIE 9663, Eighth International Topical Meeting on Education and Training in Optics and Photonics, 96632E (6 October 2003); doi: 10.1117/12.2207466
Show Author Affiliations
César O. Torres M., Univ. Popular del Cesar (Colombia)
Yezid Torres M., Univ. Industrial de Santander (Colombia)


Published in SPIE Proceedings Vol. 9663:
Eighth International Topical Meeting on Education and Training in Optics and Photonics
Barry L. Shoop; Grover Swartzlander, Editor(s)

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