The self-focusing of ultra short optical pulses in a nonlinear medium with normal (i.e., negative) group-velocity dispersion is investigated. By using a combination of various techniques like virial-type arguments and self-similar transformations, we obtain strong evidence suggesting that a pulse propagating in a nonlinear medium with normal dispersion will not collapse to a singularity in the transverse diffraction plane. It is explicitly shown that the pulse spreads out along the ''time-direction'' and ultimately splits up. The analytical results are supported by direct numerical solutions.
|Publication status||Published - 1996|
|Event||International Conference on Complex Dynamics in Spatially Extended Systems - Niels Bohr Instituttet, Copenhagen, Denmark|
Duration: 26 Sep 1995 → 29 Sep 1995
|Conference||International Conference on Complex Dynamics in Spatially Extended Systems|
|Location||Niels Bohr Instituttet|
|Period||26/09/1995 → 29/09/1995|
|Sponsor||Niels Bohr Institute, Technical University of Denmark|