Sampling analysis for Fresnel diffraction fields based on phase space representation

Posted on 24.11.2021 - 16:15
Numerical calculation of Fresnel diffraction is widely used in optical applications where wave propagation is needed. Most cases for simulating Fresnel diffraction only consider the sampling of complex amplitude fields, which lacks the comprehensiveness when different diffraction fields are of interest. In this study, from the perspective of phase space optics, we provide a 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 phase space diagram, which is further demonstrated from a physical point of view. Such a 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 the feasibility of the analyses.


Xiao, Jiasheng; Zhang, Wenhui; Zhang, Hao (2021): Sampling analysis for Fresnel diffraction fields based on phase space representation. Optica Publishing Group. Collection.
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Journal of the Optical Society of America A


Jiasheng Xiao
Wenhui Zhang
Hao Zhang


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