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arXiv · 1308.6644

Non-uniform sampled scalar diffraction calculation using non-uniform fast Fourier transform

Tomoyoshi Shimobaba·Takashi Kakue·Minoru Oikawa·Naohisa Okada·Yutaka Endo·Ryuji Hirayama·Tomoyoshi Ito
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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.

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Tomoyoshi Shimobaba, Takashi Kakue, Minoru Oikawa, Naohisa Okada, Yutaka Endo, Ryuji Hirayama, Tomoyoshi Ito. 2013-08-30. Non-uniform sampled scalar diffraction calculation using non-uniform fast Fourier transform. https://doi.org/10.1364/ol.38.005130

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