Spectral properties of limiting solitons in optical fibers
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Amiranashvili, S; Bandelow, U.; Akhmediev, N.
Description
It seems to be self-evident that stable optical pulses cannot be considerably shorter than a single oscillation of the carrier field. From the mathematical point of view the solitary solutions of pulse propagation equations should loose stability or demonstrate some kind of singular behavior. Typically, an unphysical cusp develops at the soliton top, preventing the soliton from being too short. Consequently, the power spectrum of the limiting solution has a special behavior: the standard...[Show more]
dc.contributor.author | Amiranashvili, S | |
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dc.contributor.author | Bandelow, U. | |
dc.contributor.author | Akhmediev, N. | |
dc.date.accessioned | 2016-05-24T23:49:11Z | |
dc.date.available | 2016-05-24T23:49:11Z | |
dc.identifier.issn | 1094-4087 | |
dc.identifier.uri | http://hdl.handle.net/1885/101697 | |
dc.description.abstract | It seems to be self-evident that stable optical pulses cannot be considerably shorter than a single oscillation of the carrier field. From the mathematical point of view the solitary solutions of pulse propagation equations should loose stability or demonstrate some kind of singular behavior. Typically, an unphysical cusp develops at the soliton top, preventing the soliton from being too short. Consequently, the power spectrum of the limiting solution has a special behavior: the standard exponential decay is replaced by an algebraic one. We derive the shortest soliton and explicitly calculate its spectrum for the so-called short pulse equation. The latter applies to ultra-short solitons in transparent materials like fused silica that are relevant for optical fibers. | |
dc.description.sponsorship | Sh.A. gratefully acknowledges support by The Einstein Center for Mathematics Berlin. | |
dc.format | 6 pages | |
dc.publisher | Optical Society of America | |
dc.rights | © 2014 Optical Society of America. This is an open access journal https://www.osapublishing.org/oe/journal/oe/about.cfm (Publisher journal website 25/5/2016). | |
dc.source | Optics Express | |
dc.subject | Nonlinear optics | |
dc.subject | Pulse propagation and temporal solitons | |
dc.subject | Pulses | |
dc.subject | Fibers | |
dc.title | Spectral properties of limiting solitons in optical fibers | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 22 | |
dcterms.dateAccepted | 2014-10-27 | |
dc.date.issued | 2014-11-26 | |
local.identifier.absfor | 020500 | |
local.identifier.ariespublication | u4726473xPUB131 | |
local.publisher.url | http://www.osa.org/ | |
local.type.status | Published Version | |
local.contributor.affiliation | Amiranashvili, S, Weierstrass Institute for Applied Analysis and Stochastics, Germany | |
local.contributor.affiliation | Bandelow, U., Weierstrass Institute for Applied Analysis and Stochastics, Germany | |
local.contributor.affiliation | Akhmediev, Nail, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Department of Theoretical Physics, The Australian National University | |
local.identifier.essn | 1094-4087 | |
local.bibliographicCitation.issue | 24 | |
local.bibliographicCitation.startpage | 30251 | |
local.bibliographicCitation.lastpage | 30256 | |
local.identifier.doi | 10.1364/OE.22.030251 | |
dc.date.updated | 2016-06-14T09:07:58Z | |
local.identifier.scopusID | 2-s2.0-84914674696 | |
local.identifier.thomsonID | 000345770500093 | |
dcterms.accessRights | Open Access | |
Collections | ANU Research Publications |
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