Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium

We examine the two types of singular behaviors of ultrashort pulses in a nonlinear medium, pulse steepening if the weak longitudinal dispersion is normal and collapse if it is anomalous. Connections with analogous behaviors of wave packets of almost monochromatic waves in strongly dispersive media a...

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Main Authors: Karl Glasner, Miroslav Kolesik, Jerome V. Moloney, Alan C. Newell
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Optics
Online Access:http://dx.doi.org/10.1155/2012/868274
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author Karl Glasner
Miroslav Kolesik
Jerome V. Moloney
Alan C. Newell
author_facet Karl Glasner
Miroslav Kolesik
Jerome V. Moloney
Alan C. Newell
author_sort Karl Glasner
collection DOAJ
description We examine the two types of singular behaviors of ultrashort pulses in a nonlinear medium, pulse steepening if the weak longitudinal dispersion is normal and collapse if it is anomalous. Connections with analogous behaviors of wave packets of almost monochromatic waves in strongly dispersive media are discussed.
format Article
id doaj-art-230b8e58c4d84636b9dfd395d1974b37
institution Kabale University
issn 1687-9384
1687-9392
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Optics
spelling doaj-art-230b8e58c4d84636b9dfd395d1974b372025-08-20T03:54:48ZengWileyInternational Journal of Optics1687-93841687-93922012-01-01201210.1155/2012/868274868274Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear MediumKarl Glasner0Miroslav Kolesik1Jerome V. Moloney2Alan C. Newell3Department of Mathematics, University of Arizona, Tucson, AZ 85721-0089, USAArizona Center for Mathematical Sciences, University of Arizona, Tucson, AZ 85721-0089, USADepartment of Mathematics, University of Arizona, Tucson, AZ 85721-0089, USADepartment of Mathematics, University of Arizona, Tucson, AZ 85721-0089, USAWe examine the two types of singular behaviors of ultrashort pulses in a nonlinear medium, pulse steepening if the weak longitudinal dispersion is normal and collapse if it is anomalous. Connections with analogous behaviors of wave packets of almost monochromatic waves in strongly dispersive media are discussed.http://dx.doi.org/10.1155/2012/868274
spellingShingle Karl Glasner
Miroslav Kolesik
Jerome V. Moloney
Alan C. Newell
Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
International Journal of Optics
title Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
title_full Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
title_fullStr Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
title_full_unstemmed Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
title_short Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
title_sort canonical and singular propagation of ultrashort pulses in a nonlinear medium
url http://dx.doi.org/10.1155/2012/868274
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AT miroslavkolesik canonicalandsingularpropagationofultrashortpulsesinanonlinearmedium
AT jeromevmoloney canonicalandsingularpropagationofultrashortpulsesinanonlinearmedium
AT alancnewell canonicalandsingularpropagationofultrashortpulsesinanonlinearmedium