[1] A. E. Siegman. Hermite-Gaussian functions of complex argument as optical-beam eigenfunctions[J]. J. Opt. Soc. Am., 1973, 63: 1093～1094

[2] Zhangrong Mei, Daomu Zhao. Propagation of Laguerre-Gaussian and elegant Laguerre-Gaussian beams in apertured fractional Hankel transform systems[J]. J. Opt. Soc. Am. A, 2004, 21(12): 2375～2381

[3] M. A. Clifford, J. Arlt, J. Courtial et al.. High-order Laguerre-Gaussian laser modes for studies of cold atoms[J]. Opt. Commun., 1998, 156(4): 300～306

[4] Atsushi Wada, Takumi Ohtani, Yoko Miyamoto et al.. Propagation analysis of the Laguerre-Gaussian beam with astigmatism[J]. J. Opt. Soc. Am. A, 2005, 22(12): 2746～2754

[5] Victor V. Kotlyar, Svetlana N. Khonina, Anton A. Almazov et al.. Elliptic Laguerre-Gaussian beams[J]. J. Opt. Soc. Am. A, 2006, 23(1): 43～56

[6] Carl Paterson, Robin Smith. Higher-order Bessel waves produced by axicon-type computer-generated holograms[J]. Opt. Commun., 1996, 124(1): 121～130

[7] J. C. Gutiérrez-Vega, M. D. Iturbe-Castillo, G. A. Ramírez et al.. New experimental demonstration of optical Mathieu beams[J]. Opt. Commun., 2001, 195(1): 35～40

[8] Miguel A. Bandres, Julio C. Gutiérrez-Vega. Ince-Gaussian modes of the paraxial wave equation and stable resonators[J]. J. Opt. Soc. Am. A, 2004, 21(5): 873～880

[9] Miguel A. Bandres, Julio C. Gutiérrez-Vega. Airy-Gauss beams and their transformation by paraxial optical systems[J]. Opt. Express, 2007, 15(25): 16719～16728

[10] Miguel A. Bandres, Julio C. Gutiérrez-Vega. Cartesian beams[J]. Opt. Lett., 2007, 32(24): 3459～3461

[11] A. Chafiq, Z. Hricha, A. Belafhal. A detailed study of Mathieu-Gauss beams propagation through an apertured ABCD optical system[J]. Opt. Commun., 2006, 265(2): 594～602

[12] Miguel A. Bandres. Elegant Ince-Gaussian beams[J]. Opt. Lett., 2004, 29(15): 1724～1726

[13] V. V. Kotlyar, R. V. Skidanov, S. N. Khonina et al.. Hypergeometric modes[J]. Opt. Lett., 2007, 32(7): 742～744

[14] Ebrahim Karimi, Gianluigi Zito, Bruno Piccirillo et al.. Hypergeometric-Gaussian modes[J]. Opt. Lett., 2007, 32(21): 3053～3055

[15] Victor V. Kotlyar, Alexey A. Kovalev. Family of hypergeometric laser beams[J]. J. Opt. Soc. Am. A, 2008, 25(1): 262～270

[16] A. Erdelyi. Tables of Integral Transforms[M]. New York: McGraw-Hill, 1954