Abstract

Both analytical and numerical investigation of the structural features of ultrashort-laser-pulse self-focusing is presented. The analysis is performed under sufficiently general assumptions concerning the medium dispersion. It is demonstrated that the wave-field self-focusing proceeds with overtaking the steepening of the pulse longitudinal profile and shock-wave formation. As a result, a more complex singularity is formed where an unlimited field increase is followed by wave breaking with a broad power-law pulse spectrum.

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