Alternative representation of the linear canonical integral transform
Optics Letters, Vol. 30, Issue 24, pp. 3302-3304 (2005)
http://dx.doi.org/10.1364/OL.30.003302
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Abstract
Starting with the Iwasawa-type decomposition of a first-order optical system (or ABCD system) as a cascade of a lens, a magnifier, and an orthosymplectic system (a system that is both symplectic and orthogonal), a further decomposition of the orthosymplectic system in the form of a separable fractional Fourier transformer embedded between two spatial-coordinate rotators is proposed. The resulting decomposition of the entire first-order optical system then shows a physically attractive representation of the linear canonical integral transformation, which, in contrast to Collins integral, is valid for any ray transformation matrix.
© 2005 Optical Society of America
OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4690) Fourier optics and signal processing : Morphological transformations
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.4820) Instrumentation, measurement, and metrology : Optical systems
ToC Category:
Fourier Optics and Optical Signal Processing
Citation
Tatiana Alieva and Martin J. Bastiaans, "Alternative representation of the linear canonical integral transform," Opt. Lett. 30, 3302-3304 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-24-3302
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