中国物理B ›› 2018, Vol. 27 ›› Issue (9): 94203-094203.doi: 10.1088/1674-1056/27/9/094203

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Nonuniform sampled angular spectrum method by using trigonometric interpolation

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)   

  1. School of Physics and Optoelectronic Engineering, Xidian University, Xi'an 710071, China
  • 收稿日期:2018-01-24 修回日期:2018-06-29 出版日期:2018-09-05 发布日期:2018-09-05
  • 通讯作者: Qiu-Hu Cheng E-mail:chengqiouhu@126.com
  • 基金资助:

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

Nonuniform sampled angular spectrum method by using trigonometric interpolation

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)   

  1. School of Physics and Optoelectronic Engineering, Xidian University, Xi'an 710071, China
  • Received:2018-01-24 Revised:2018-06-29 Online:2018-09-05 Published:2018-09-05
  • Contact: Qiu-Hu Cheng E-mail:chengqiouhu@126.com
  • Supported by:

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

摘要:

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.

关键词: wave optics, diffraction, Fourier optics, diffraction efficiency

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.

Key words: wave optics, diffraction, Fourier optics, diffraction efficiency

中图分类号:  (Wave optics)

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