Scaled diffraction calculation between tilted planes using nonuniform fast Fourier transform

被引:28
|
作者
Chang, Chenliang [1 ]
Xia, Jun [1 ,2 ]
Wu, Jun [1 ]
Lei, Wei [1 ]
Xie, Yi [2 ]
Kang, Mingwu [2 ]
Zhang, Qiuzhi [2 ]
机构
[1] Southeast Univ, Sch Elect Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China
[2] Sci & Technol Electroopt Control Lab, Luoyang 471009, Peoples R China
来源
OPTICS EXPRESS | 2014年 / 22卷 / 14期
基金
国家高技术研究发展计划(863计划);
关键词
COMPUTER-GENERATED HOLOGRAMS; POLYGON-BASED METHOD; ANGULAR SPECTRUM; DISPLAY; OBJECTS;
D O I
10.1364/OE.22.017331
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A method of diffraction calculation between tilted planes with variable sampling rates is proposed. The proposed method is based on the Fourier spectrum rotation from a tilted plane to a parallel plane. The nonuniform fast Fourier transformation (NUFFT) is used to calculate the nonuniform sampled Fourier spectrum on the tilted plane with variable sampling rates, which overcomes the sampling restriction of FFT in the conventional method. Both of the computer simulation and the optical experiment shows the feasibility of our method in calculating the hologram of polygon-based object with scalable size, which can be considered as an important application in the holographic three-dimensional display. (C)2014 Optical Society of America
引用
收藏
页码:17331 / 17340
页数:10
相关论文
共 50 条
  • [1] Nonuniform fast Fourier transform method for numerical diffraction simulation on tilted planes
    Xiao, Yu
    Tang, Xiahui
    Qin, Yingxiong
    Peng, Hao
    Wang, Wei
    Zhong, Lijing
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2016, 33 (10) : 2027 - 2033
  • [2] Nonuniform sampled scalar diffraction calculation using nonuniform fast Fourier transform
    Shimobaba, Tomoyoshi
    Kakue, Takashi
    Oikawa, Minoru
    Okada, Naohisa
    Endo, Yutaka
    Hirayama, Ryuji
    Ito, Tomoyoshi
    OPTICS LETTERS, 2013, 38 (23) : 5130 - 5133
  • [3] Verification and comparison of a fast Fourier transform-based full diffraction method for tilted and offset planes
    Delen, Nuri
    Hooker, Brian
    Applied Optics, 2001, 40 (21): : 3525 - 3531
  • [4] Verification and comparison of a fast Fourier transform-based full diffraction method for tilted and offset planes
    Delen, N
    Hooker, B
    APPLIED OPTICS, 2001, 40 (21) : 3525 - 3531
  • [5] Colorful holographic display of 3D object based on scaled diffraction by using nonuniform fast Fourier transform
    Chang, Chenliang
    Xia, Jun
    Lei, Wei
    ADVANCES IN DISPLAY TECHNOLOGIES V, 2015, 9385
  • [6] Nonuniform fast Fourier transform
    Duijndam, AJW
    Schonewille, MA
    GEOPHYSICS, 1999, 64 (02) : 539 - 551
  • [7] Accelerating the Nonuniform Fast Fourier Transform using FPGAs
    Kestur, Srinidhi
    Park, Sungho
    Irick, Kevin M.
    Narayanan, Vijaykrishnan
    2010 18TH IEEE ANNUAL INTERNATIONAL SYMPOSIUM ON FIELD-PROGRAMMABLE CUSTOM COMPUTING MACHINES (FCCM 2010), 2010, : 19 - 26
  • [8] Fresnel diffraction calculation through the fast fractional Fourier transform
    Mas, D
    Ferreira, C
    Garcia, J
    OPTICS IN COMPUTING 98, 1998, 3490 : 461 - 464
  • [9] NONUNIFORM FAST FOURIER TRANSFORM ON TPUS
    Lu, Tianjian
    Marin, Thibault
    Zhuo, Yue
    Chen, Yi-Fan
    Ma, Chao
    2021 IEEE 18TH INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI), 2021, : 783 - 787
  • [10] A geometric nonuniform fast Fourier transform
    Sammis, Ian
    Strain, John
    JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (18) : 7086 - 7108