[1] Zhang Xiaping , Guo Qi. Analytical solution in the Hermite-Gaussian form of the beam propagating in the strong nonlocal media[J]. Acta Physica Sinica, 2005, 54(7): 3178～3182

[2] L. Cicchitelli, H. Hora, R. Postle. Longitudinal field components for laser beams in vacuum[J]. Phys. Rev. A, 1990, 41(7): 3727～3732

[3] B. Quesnel, P. Mora. Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum[J]. Phys. Rev. E, 1998, 58(3): 3719～3732

[4] S. Banerjee, S. Sepke, R. Shah et al.. Optical deflection and temporal characterization of ultrafast laser-produced electron beams[J]. Phys. Rev. Lett., 2005, 95(3): 035004

[5] M. Lax, W. H. Louisell, W. B.Mcknight. From Maxwell to paraxial wave optics[J]. Phys. Rev. A, 1975, 11(4): 1365～1370

[6] G. P. Agrawal, D. N. Pattanayak. Gaussian beam propagation beyond the paraxial approximation[J]. J. Opt. Soc. Am, 1979, 69(4): 575～578

[7] L. W. Davis. Theory of electromagnetic beams[J]. Phys. Rev. A, 1979, 19(3): 1177～1179

[8] T. Takenaka, M. Yokota, O. Fukumitsu. Propagation of light beams beyond the paraxial approximation[J]. J. Opt. Soc. Am. A, 1985, 2(6): 826～829

[9] A. Wünsche. Transition from the paraxial approximation to exact solutions of the wave equation and application to Gaussian beams[J]. J. Opt. Soc. Am. A, 1992, 9(5): 765～774

[10] S. R. Seshadri. Nonparaxial corrections for the fundamental Gaussian beam[J]. J. Opt. Soc. Am. A, 2002, 19(10): 2134～2141

[11] S. Sepke, D. Umstadter. Exact analytical solution for the vector electromagnetic field of Gaussian, flattened Gaussian, and annular Gaussian laser modes[J]. Opt. Lett., 2006, 31(10): 1447～1449

[12] S. Sepke, D. Umstadter. Analytical solutions for the electromagnetic fields of tightly focused laser beams of arbitrary pulse length[J]. Opt. Lett., 2006, 31(17): 2589～2591

[13] S. Sepke S, D. umstadter. Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes. I. Small F-number laser focusing[J]. J. Opt. Soc. Am. B, 2006, 23(10): 2157～2165

[14] Zhang Keqiang, Li Dejie. Electromagnetic Theory for Microwaves and Optoelectronics [M]. Beijing:Publishing House of Electronics Industry, 2001, 53～60

[15] W. H. Carter. Electromagnetic field of a Gaussian beam with an elliptical cross section[J]. J. Opt. Soc. Am., 1972, 62(10): 1195～1201

[16] G. N. Watson. A Treatise on the Theory of Bessel Functions[M]. Cambridge: Publishing Company of Cambridge University, 1966

[17] Deng Dongmei, Guo Qi. Application of the multiscale singular perturbation method to nonparaxial beam propagations in free space[J]. J. Opt. Soc. Am. A, 2007, 24(10): 3317～3325