Self-focusing of optical pulses in media with normal dispersion

L. Bergé; E.A. Kuznetsov; J. Juul Rasmussen; E.G. Shapiro; S.K. Turitsyn

doi:10.1088/0031-8949/1996/T67/003

Self-focusing of optical pulses in media with normal dispersion

L. Bergé, E.A. Kuznetsov, J. Juul Rasmussen, E.G. Shapiro, S.K. Turitsyn

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

Abstract

The self-focusing of ultra short optical pulses in a nonlinear medium with normal (i.e., negative) group-velocity dispersion is investigated. By using a combination of various techniques like virial-type arguments and self-similar transformations, we obtain strong evidence suggesting that a pulse propagating in a nonlinear medium with normal dispersion will not collapse to a singularity in the transverse diffraction plane. It is explicitly shown that the pulse spreads out along the ''time-direction'' and ultimately splits up. The analytical results are supported by direct numerical solutions.

Original language	English
Journal	Physica Scripta
Volume	T67
Pages (from-to)	17-20
ISSN	0281-1847
DOIs	https://doi.org/10.1088/0031-8949/1996/T67/003
Publication status	Published - 1996
Event	International Conference on Complex Dynamics in Spatially Extended Systems - Niels Bohr Instituttet, Copenhagen, Denmark Duration: 26 Sept 1995 → 29 Sept 1995

Conference

Conference	International Conference on Complex Dynamics in Spatially Extended Systems
Location	Niels Bohr Instituttet
Country/Territory	Denmark
City	Copenhagen
Period	26/09/1995 → 29/09/1995
Sponsor	Niels Bohr Institute, Technical University of Denmark

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10.1088/0031-8949/1996/T67/003

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title = "Self-focusing of optical pulses in media with normal dispersion",

abstract = "The self-focusing of ultra short optical pulses in a nonlinear medium with normal (i.e., negative) group-velocity dispersion is investigated. By using a combination of various techniques like virial-type arguments and self-similar transformations, we obtain strong evidence suggesting that a pulse propagating in a nonlinear medium with normal dispersion will not collapse to a singularity in the transverse diffraction plane. It is explicitly shown that the pulse spreads out along the ''time-direction'' and ultimately splits up. The analytical results are supported by direct numerical solutions. ",

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year = "1996",

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T1 - Self-focusing of optical pulses in media with normal dispersion

AU - Bergé, L.

AU - Kuznetsov, E.A.

AU - Juul Rasmussen, J.

AU - Shapiro, E.G.

AU - Turitsyn, S.K.

PY - 1996

Y1 - 1996

N2 - The self-focusing of ultra short optical pulses in a nonlinear medium with normal (i.e., negative) group-velocity dispersion is investigated. By using a combination of various techniques like virial-type arguments and self-similar transformations, we obtain strong evidence suggesting that a pulse propagating in a nonlinear medium with normal dispersion will not collapse to a singularity in the transverse diffraction plane. It is explicitly shown that the pulse spreads out along the ''time-direction'' and ultimately splits up. The analytical results are supported by direct numerical solutions.

AB - The self-focusing of ultra short optical pulses in a nonlinear medium with normal (i.e., negative) group-velocity dispersion is investigated. By using a combination of various techniques like virial-type arguments and self-similar transformations, we obtain strong evidence suggesting that a pulse propagating in a nonlinear medium with normal dispersion will not collapse to a singularity in the transverse diffraction plane. It is explicitly shown that the pulse spreads out along the ''time-direction'' and ultimately splits up. The analytical results are supported by direct numerical solutions.

KW - Optik og sensorsystemer

U2 - 10.1088/0031-8949/1996/T67/003

DO - 10.1088/0031-8949/1996/T67/003

M3 - Conference article

SN - 0281-1847

VL - T67

SP - 17

EP - 20

JO - Physica Scripta

JF - Physica Scripta

T2 - International Conference on Complex Dynamics in Spatially Extended Systems

Y2 - 26 September 1995 through 29 September 1995

ER -

Self-focusing of optical pulses in media with normal dispersion

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