[1] Wehrl A. General properties of entropy. Rev. Mod. Phys., 1978, 50:221～260

[2] Maassen H, Uffink J B M. Generalized entropic uncertainty relations. Phys. Rev. Lett., 1988, 60(12):1103～1106

[3] Neunan Von. Thermodynamik Quantum Mechanischer Gesamtheiter. Goett. Nach., 1927, 1(2):273～291

[5] Guo Q, Chi S. Nonlinear light beam propagation in uniaxial crystals: Nonlinear refractive index, self-trapping and self-focusing. J. Opt. A: Pure Appl. Opt., 2000, 2(1):5～15

[6] Siegman A E. Defining the effective radius of curvature for a nonideal beam. IEEE J. Quant. Electron., 1991, QE-27(5):1146～1148

[7] Sorokin E, Tempea G, Brabec T. Measurement of the root-square width and the root-mean-square chirp in ultrafast optics. J. Opt. Soc. Am. (B), 2000, 17(1):146～151

[8] Gloge D, Marcuse D. Formal quantum theory of light ray. J. Opt. Soc. Am., 1969, 59(12):1629～1631

[9] Agrawal G P. Nonlinear Fiber Optics. Boston: Academic Press, 1989. 114,143,147

[10] Desaix M, Anderson D, Lisak M. Variational approach to collapse of optical pulse. J. Opt. Soc. Am. (B), 1991, 8(10):2082～2086

[11] Karisson M, Anderson D. Super-Gaussian approximation of the fundamental radial mode in nonlinear parabolic-index optical fibers. J. Opt. Soc. Am. (B), 1992, 9(9):1558～1562

[12] Siegman A E. Lasers. Mill Valley(Calif.):Oxford University, 1986

[13] Marburger J H. Self-focusing, theory. Prog. Quant. Electron., 1975, 4(1):35～38