[1] Lax M,Louisell W H,McKnight W B. From Maxwell to paraxial wave optics [J].Phys. Rev. A,1975,11:1365-1370.

[2] Agrawal G P,Lax M. Free-space wave propagation beyond the paraxial approximation [J].Phys. Rev. A,1983,27: 1693-1695.

[3] Takenaka T,Yokota M,Fukumitsu O. Propagation of light beams beyond the paraxial [J].J. Opt. Soc. Am. A,1985,2: 826-829.

[4] Chen C G,Konkola P T,Ferrera J,et al. Analyses of vector Gaussian beam propagation and the validity of paraxial and spherical approximations [J].J. Opt. Soc. Am. A,2002,19: 404-412.

[5] Duan Kailiang,Lü Baida. Propagation properties of vectorial elliptical Gaussian beams beyond the paraxial approximation [J].Opt. & Laser Technology,2004,36: 489-496.

[10] Kang X P,He Z,Lü B. Far-field properties and beam quality of vectorial Hermite-Laguerre-Gaussian beams beyond the paraxial approximation [J].Opt. & Laser Technology,2007,39: 1046-1053.

[11] Mei Z,Zhao D. Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams [J].Opt. Express,2007,15:11942-11951.