Nonuniform DFT

Rao, K. R.; Kim, D. N.; Hwang, Jeoung Yeon

doi:10.1007/978-1-4020-6629-0_7

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2023

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“…If all algorithms are not applicable to the set simulation parameters, the algorithms [ 12 , 13 , 14 ] with relatively smaller sampling limit can also be used at the expense of computing efficiency. Their mathematical principle is similar to nonuniform fast Fourier transform (NUFFT) in signal processing theory [ 15 ]. One of them is the matrix product angular spectrum method (MPASM).…”

Section: Introductionmentioning

confidence: 99%

Nyquist Sampling Conditions of Some Diffraction Algorithms with Adjustable Magnification

Wang

Cai

et al. 2023

Sensors

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Diffraction algorithms with adjustable magnification are dominant in holographic projection and imaging. However, the algorithms are limited by the Nyquist sampling conditions, and simulation results with inappropriate parameters sometimes appear with aliasing. At present, many diffraction algorithms have been proposed and improved, but there is a need for an overall analysis of their sampling conditions. In this paper, some classical diffraction algorithms with adjustable magnification are summarized, and their sampling conditions in the case of plane wave or spherical wave illumination are analyzed and compared, which helps to select the appropriate diffraction algorithm according to the specific parameter conditions of the simulation to avoid aliasing.

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