Acta Optica Sinica, Volume. 31, Issue 11, 1111003(2011)

Performance Analysis of Fractional Fourier Transform Optical Imaging Based on Fractional Fourier-Domain Filtering

Zhang Jingjing*, Jiang Yuesong, He Yuntao, Liu Li, and Wang Jing
Author Affiliations
  • [in Chinese]
  • show less
    References(19)

    [1] [1] D. Mendlovic, H. M. Ozaktas. Fractional Fourier transforms and their optical implement[J]. J. Opt. Soc. Am. A, 1993, 10(9): 1875~1881

    [2] [2] Wen Liang. Fractional Fourier Transform and Its Application [D]. Chongqing: Chongqing University, 2008. 2~20

    [3] [3] A. W. Lohmann. Image rotation, wigner rotation, and the fractional Fourier transform[J]. J. Opt. Soc. Am. A, 1993, 10(10): 2181~2186

    [4] [4] Haldun M. Ozaktas, David Mendlovic. Fourier transforms of fractional order and their optical interpretation[J]. Opt. Commun., 1993, 101(3-4): 163~169

    [5] [5] Aysegul Sahin, Haldun M. Ozatas, David Mendlovic. Optical implementations of two-dimensional fractional Fourier transforms and linear canonical transforms with arbitrary parameters [J]. Appl. Opt., 1998, 37(11): 2130~2140

    [9] [9] D. D. Dragoman, M. Dragoman. Near and far optical beam characterization using fractional Fourier transform [J]. Opt. Commun., 1997,141(1-2): 5~9

    [10] [10] D. Zhao, H. Mao, C. Zheng et al.. The propagation properties and kurtosis parametric characteristics of Hermite-cosh-Gaussian beams passing through fractional Fourier transformation systems[J]. Optik, 2005, 116(10): 461~468

    [15] [15] H. M. Ozaktas, B. Barshan, D. Mendlovix et al.. Convolution filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms[J]. J. Opt. Soc. Am. A, 1994, 11(2): 547~559

    [16] [16] M. Alper Kutay, Haldun M. Ozaktas, Orhan Akrikan et al.. Optimal filtering in fractional Fourier domains[J]. IEEE Trans. Signal Processing, 1997, 45(5): 1129~1142

    [17] [17] Tan Bitao, Zhang Xin, Jing Chunyuan et al.. Optical transfer function under normative optical fractional Fourier transform[J]. J. Appl. Opt., 2008, 29(2): 212~215

    [18] [18] V. Namias. The fractional order Fourier transform and its applications in the quantum mechanics[J]. Inst. Math. Appl., 1980, 25(2): 241~265

    [19] [19] X. Yang, Q. Tan, X. Wei et al.. Improved fast fractional-Fourier-transform algorithm [J]. J. Opt. Soc. Am. A, 2004, 21(9): 1677~1681

    CLP Journals

    [1] Yu Chunfeng, Ding Yalin, Hui Shouwen, Yu Shuaibei, Wang Longqi, Shi Long, Yuan Guoqin. Analysis of Influence on the New Type Aviation Lens Shutter to the Optical Transfer Function[J]. Acta Optica Sinica, 2014, 34(11): 1112005

    [2] Zhu Lili, Xie Wenming, Li Hui. Spectrum Analysis of Ultrasound-Modulated Optical Signal[J]. Chinese Journal of Lasers, 2013, 40(s1): 115001

    [3] Zhang Dong, Tashpolat·Tiyip, Zhang Fei, Ardak·Kelimu, Xia Nan. Effect of Fractional Differential Algorithm on Hyperspectral Data of Saline Soil[J]. Acta Optica Sinica, 2016, 36(3): 330002

    Tools

    Get Citation

    Copy Citation Text

    Zhang Jingjing, Jiang Yuesong, He Yuntao, Liu Li, Wang Jing. Performance Analysis of Fractional Fourier Transform Optical Imaging Based on Fractional Fourier-Domain Filtering[J]. Acta Optica Sinica, 2011, 31(11): 1111003

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Imaging Systems

    Received: Apr. 26, 2011

    Accepted: --

    Published Online: Oct. 24, 2011

    The Author Email: Jingjing Zhang (allienzhang@163.com)

    DOI:10.3788/aos201131.1111003

    Topics