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arXiv · 1203.3583

Arbitrary shape surface Fresnel diffraction

Tomoyoshi Shimobaba·Nobuyuki Masuda·Tomoyoshi Ito
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Abstract

Fresnel diffraction calculation on an arbitrary shape surface is proposed. This method is capable of calculating Fresnel diffraction from a source surface with an arbitrary shape to a planar destination surface. Although such calculation can be readily calculated by the direct integral of a diffraction calculation, the calculation cost is proportional to $O(N^2)$ in one dimensional or $O(N^4)$ in two dimensional cases, where $N$ is the number of sampling points. However, the calculation cost of the proposed method is $O(N \log N)$ in one dimensional or $O(N^2 \log N)$ in two dimensional cases using non-uniform fast Fourier transform.

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Tomoyoshi Shimobaba, Nobuyuki Masuda, Tomoyoshi Ito. 2012-03-15. Arbitrary shape surface Fresnel diffraction. https://doi.org/10.1364/oe.20.009335

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