Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion |
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| Authors: | Bergé L Germaschewski K Grauer R Rasmussen J Juul |
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| Affiliation: | Département de Physique Théorique et Appliquée, CEA/DAM-Ile de France, B.P. 12, F-91680 Bruyères-le-Chatel, France. |
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| 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. |
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