[1] [1] Namias V. The fractional order Fourier transform and its applications in the quantum mechanics. J. Inst. Math. Appl., 1980, 25(2):241～265

[2] [2] Mendlovic D, Ozaktas H M. Fractional Fourier transforms and their optical implement: I. J. Opt. Soc. Am. (A), 1993, 10(9):1875～1881

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

[4] [4] Dorsch G, Adolf, Lohmann W. Fractonal Fourier transform used for a lens-design problem. Appl. Opt., 1995, 34(20):4111～4112

[5] [5] Dorsch G, Adolf, Lohmann W. Chirp filtering in the fractional dormains. Appl. Opt., 1995, 34(32):7599～7602

[6] [6] Berardo L M, Soares O D D. Fractional Fouier transforms and imaging. J. Opt. Soc. Am. (A), 1994, 11(10):2622～2626

[7] [7] Ozaktas H M, Mendlovic D. Fractional Fourier as a tool for analyzing beam propagation and spherical mirror resonators. Opt. Lett., 1994, 19(21):1678～1680