Phase-space diagrams of the Talbot effect and the spectral Talbot effect are used to construct discrete representations of linear canonical transformations. Their importance is illustrated in the context of diffractive optics and compressive imaging.
© 2007 Optical Society of America
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(100.0100) Image processing : Image processing
(100.3010) Image processing : Image reconstruction techniques
M. Testorf and B. Hennelly, "The Phase-Space Interpretation of Self-Imaging and Discrete Representations of Paraxial Optical Systems," in Frontiers in Optics 2007/Laser Science XXIII/Organic Materials and Devices for Displays and Energy Conversion, OSA Technical Digest (CD) (Optical Society of America, 2007), paper FThQ7.
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