An adiabatic approach is used to derive a new law for self-focusing in the nonlinear Schr¨odinger equation that is valid from the early stages of self-focusing until the blowup point. The adiabatic law leads to an analytical formula for the location of the blowup point and can be used to estimate the effects of various small perturbations on self-focusing. The results of the analysis are confirmed by numerical simulations.
© 1996 Optical Society of America
Gadi Fibich, "Adiabatic law for self-focusing of optical beams," Opt. Lett. 21, 1735-1737 (1996)