Nonuniform sampled angular spectrum method by using trigonometric interpolation

doi:10.1088/1674-1056/27/9/094203

Abstract

The angular spectrum method (ASM) is a popular numerical approach for scalar diffraction calculations. However, traditional ASM has an inherent problem in that nonuniform sampling is precluded. In an attempt to address this limitation, an improved trigonometric interpolation ASM (TIASM) is proposed, in which the fast Fourier transform (FFT) is replaced by a trigonometric interpolation. The results show that TIASM is more suitable to situations in which the source field has a simple and strong frequency contrast, irrespective of whether the original phase distribution is a plane wave or a Fresnel zone plate phase distribution.

Keywords: wave optics diffraction Fourier optics diffraction efficiency

Received: 24 January 2018
Revised: 29 June 2018
Accepted manuscript online:

PACS:	42.25.-p	(Wave optics)
	42.25.Fx	(Diffraction and scattering)
	42.30.Kq	(Fourier optics)
	42.40.Lx	(Diffraction efficiency, resolution, and other hologram characteristics)

Fund:

Project supported by Chinese National Research Fund (Grant No. 9140A02010514DZ01019).

Corresponding Authors: Qiu-Hu Cheng
E-mail: chengqiouhu@126.com

Cite this article:

Qiu-Hu Cheng(程秋虎), Shi-Yu Wang(王石语), Meng-Yao Wu(吴梦瑶), Zhen Guo(过振), De-Fang Cai(蔡德芳), Bing-Bin Li(李兵斌) Nonuniform sampled angular spectrum method by using trigonometric interpolation 2018 Chin. Phys. B 27 094203

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