Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion

L. Bergé; K. Germaschewski; R. Grauer; J. Juul Rasmussen

doi:10.1103/PhysRevLett.89.153902

Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion

L. Bergé, K. Germaschewski, R. Grauer, J. Juul Rasmussen

Research output: Contribution to journal › Journal article › Research › peer-review

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
Journal	Physical Review Letters
Volume	89
Issue number	15
Pages (from-to)	153902
Number of pages	4
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.89.153902
Publication status	Published - 2002

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title = "Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion",

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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AU - Bergé, L.

AU - Germaschewski, K.

AU - Grauer, R.

AU - Juul Rasmussen, J.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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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U2 - 10.1103/PhysRevLett.89.153902

DO - 10.1103/PhysRevLett.89.153902

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JO - Physical Review Letters

JF - Physical Review Letters

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Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion

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