Acta Optica Sinica, Volume. 31, Issue 11, 1111003(2011)
Performance Analysis of Fractional Fourier Transform Optical Imaging Based on Fractional Fourier-Domain Filtering
[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
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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
Category: Imaging Systems
Received: Apr. 26, 2011
Accepted: --
Published Online: Oct. 24, 2011
The Author Email: Jingjing Zhang (allienzhang@163.com)