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Sampling analysis for Fresnel diffraction fields based on phase space representation
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DOI：10.1364/josaa.440464.png)
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Numerical calculation of Fresnel diffraction is widely used in optical
applications where wave propagation is needed. Most cases for
simulating Fresnel diffraction only consider sampling of complex
amplitude fields, which lacks comprehensiveness when different
diffraction fields are of interest. In this study, from the
perspective of phase space optics, we provide systematical analysis on
the sampling of all Fresnel diffraction fields, including the complex
amplitude, intensity, amplitude, and phase. The space-bandwidth
product of each field is illustrated with the aid of a phase space
diagram, which is further demonstrated from a physical point of view.
Such comprehensive sampling analysis could provide practical
suggestions to the numerical calculations of various diffraction
fields according to the requirements. Numerical experiments with
discrete Fresnel diffraction are implemented to verify feasibility of
the analyses.
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