Abstract
The theory of focusing light pulses in Kerr media with normal group-velocity dispersion in (2+1) and (3+1) dimensions is revisited. It is shown that pulse splitting introduced by this dispersion follows from shock fronts that develop along hyperbolas separating the region of transverse self-focusing from the domain of temporal dispersion. Justified by a self-similar approach, this property is confirmed by numerical simulations using an adaptive-mesh refinement code.
Original language | English |
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Journal | Physical Review Letters |
Volume | 89 |
Issue number | 15 |
Pages (from-to) | 153902 |
Number of pages | 4 |
ISSN | 0031-9007 |
DOIs | |
Publication status | Published - 2002 |