论文信息 - Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media

Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media

The spatio-temporal dynamics of pulse propagation in dispersive Kerr media is studied based on the variational principle. By performing a Ritz optimization procedure with spatio-temporal Gaussian test functions, the equations of motion for the pulse parameters are derived. Comparison of these analytical results with numerically obtained solutions of the exact problem show very good agreement over a broad range of dispersion, diffraction, and nonlinearity parameters.

[1] Diana Anderson,et al. Variational approach to nonlinear self‐focusing of Gaussian laser beams , 1977 .

[2] Diana Anderson,et al. Variational approach to collapse of optical pulses , 1991 .

[3] V. Petrov,et al. Self-focusing of light pulses in the presence of normal group-velocity dispersion. , 1992, Optics letters.

[4] I. Christov,et al. Kerr-lens mode-locked laser model: role of space–time effects , 1998 .

[5] Diana Anderson,et al. Variational approach to nonlinear pulse propagation in optical fibers , 1983 .

[6] Mietek Lisak,et al. Self-trapped cylindrical laser beams , 1979 .

[7] I. Christov,et al. Space-time focusing of femtosecond pulses in a Ti:sapphire laser. , 1995, Optics letters.

[8] Z. Zhu,et al. Quasi-discrete Hankel transform. , 1998, Optics letters.

[9] James G. Fujimoto,et al. Dispersion-managed mode locking , 1999 .