[1] [1] V. Namias. The fractional Fourier transform and its application in quantum mechanics [J]. J. Inst. Math. Appl.,1980,25(3):241-265

[2] [2] A. W. Lohmann. Image rotation,Wigner rotation and the fractional Fourier transforms [J]. J. Opt. Soc. Am. A,1993,10(11):2181-2186

[3] [3] Chun-Ching Shih. Optical interpretation of a complex-order Fourier transform [J]. Opt. Lett.,1995,20(10):1178-1180

[4] [4] Jiang Zhiping. Scaling law and simultaneous optical implementation of various orders fractional Fourier transforms [J]. Opt. Lett.,1995,20(23):2408-2410

[5] [5] P. Andres,C. Ferreira,E. Bonet. Fraunhofer diffraction patterns from apertures illuminated with nonparallel light in nonsymmetrical Fourier transforms [J]. Appl. Opt.,1985,24(10):1549-1552

[6] [6] D. Mendlovic,Y. Bitran,R. G. Dorsch et al.. Anamorphic fractional Fourier transform:optical implementation and applications [J]. Appl. Opt.,1995,34(32):7451-7456

[7] [7] G. Unnikrishnan,J. Joseph,K. Singh. Optical encryption by double-random phase encoding in the fractional Fourier domain [J]. Opt. Lett.,2000,25(12):887-889

[8] [8] Weimin Jin,Yupei Zhang. Color pattern recognition based on the joint fractional Fourier transform correlator [J]. Chin. Opt. Lett.,2007,5(11):628-631

[9] [9] Huadong Zheng,Yingjie Yu,Tao Wang et al.. High-quality three-dimensional holographic display with use of multiple fractional Fourier transform [J]. Chin. Opt. Lett.,2009,7(12):1151-1154

[10] [10] Zhang Haiying,Ran Qiwen,Zhang Jin. Optical image encryption and multiple parameter weighted fractional Fourier transform [J]. Acta Optica Sinica,2008,28(s2):117-120

[11] [11] G. A. Massey,A. E. Siegman. Reflection and refraction of Gaussian light beams at tilted ellipsoidal surfaces [J]. Appl. Opt.,1969,8(5):975-978

[12] [12] S. Gangopadhyay,S. Sarkar. Laser diode to single mode-fiber excitation via hyperbolic lens on the fiber tip:formulation of ABCD matrix and efficiency computation [J]. Opt. Commun.,1996,132(1):55-60

[13] [13] S. Gangopadhyay,S. Sarkar. ABCD matrix for reflection and refraction of Gaussian light beams at surfaces of hyperboloid of revolution and efficiency computation for laser diode to single-mode fiber coupling by way of a hyperbolic lens on the fiber tip [J]. Appl. Opt.,1997,36(33):8582-8586

[14] [14] F. A. Rahman,K. Takahashi,C. H. Teik. Theoretical analysis of coupling between laser diodes and concially lensed single-mode fibers utilizing ABCD matrix method [J]. Opt. Commun.,2003,215(1):61-67

[15] [15] Yang Qingguo,Li Zeren,Peng Qixian et al.. Theoretical calculation and design for cylindrical and conical bent crystal spectrograph [J]. Acta Optica Sinica,2009,29(2):382-387