Non-uniform sampled scalar diffraction calculation using non-uniform fast Fourier transform
Optics
2016-04-13 v1
Abstract
Scalar diffraction calculations such as the angular spectrum method (ASM) and Fresnel diffraction, are widely used in the research fields of optics, X-rays, electron beams, and ultrasonics. It is possible to accelerate the calculation using fast Fourier transform (FFT); unfortunately, acceleration of the calculation of non-uniform sampled planes is limited due to the property of the FFT that imposes uniform sampling. In addition, it gives rise to wasteful sampling data if we calculate a plane having locally low and high spatial frequencies. In this paper, we developed non-uniform sampled ASM and Fresnel diffraction to improve the problem using the non-uniform FFT.
Keywords
Cite
@article{arxiv.1308.6644,
title = {Non-uniform sampled scalar diffraction calculation using non-uniform fast Fourier transform},
author = {Tomoyoshi Shimobaba and Takashi Kakue and Minoru Oikawa and Naohisa Okada and Yutaka Endo and Ryuji Hirayama and Tomoyoshi Ito},
journal= {arXiv preprint arXiv:1308.6644},
year = {2016}
}