Breakdown of the slowly varying envelope approximation in the self-focusing of ultrashort pulses

Abstract
We show theoretically and experimentally that with ultrashort pulses much longer than a single optical cycle, the effects of self-steepening and space–time focusing are important for describing the nonlinear dynamics of self-focusing. Asymmetric temporal splitting of the pulse envelope is observed in which the relative magnitudes of the peaks are reversed as the input power is increased.