[1] V. Namias. The fractional order Fourier transform and its application to quantum mechanics. J. Inst. Maths Applics, 1980, 25: 241～265

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

[3] D. Mendlovic, M. Ozaktas. Fractional Fourier transform and their optical implementation: I. J. Opt. Soc. Am. (A), 1993, 10(9): 1875～1881

[4] M. Ozaktas, D. Mendlovic. Fractional Fourier transform and their optical implementation: II. J. Opt. Soc. Am. (A), 1993, 10(12): 2522～2531

[5] G. Dorsch, Adolf W. Lohmann. Fractional Fourier transform used for a lens-design problem. Appl. Opt., 1995, 34(20): 4111～4112

[6] G. Dorsch, A. W. Lohmann, Y. Bitran et al.. Chirp filtering in the fractional Fourier domain. Appl. Opt., 1994, 33(32): 7599～7602

[7] M. Ozaktas, B. Barshan, D. Mendlovic et al.. Space-variant filtering in fractional Fourier domains. Inst. Phys. Conf. Ser., 1994, 139, Part Ⅲ: 285～288

[8] Mendlovic, H. M. Ozaktas, A. W. Lohmann. Graded index fibers, Wigner-distribution functions, and the fractional Fourier transform. Appl. Opt., 1994, 33(30): 6188～6193

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

[10] W. Lohmann, D. Mendlovic. Fractional Fourier transform: photonic implementation. Appl. Opt., 1994, 33(32): 7661～7664

[11] L. M. Bernardo, O. D. D. Soares. Fractional Fourier transfor msand imaging. J. Opt. Soc. Am. (A), 1994, 11(10): 2622～2626

[12] H. M. Ozaktas, David Mendlovic. Fractional Fourier transfor mas a tool for analyzing beam propagation and spherical mirror resonatos. Opt. Lett., 1994, 19(21): 1678～1680