Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers

We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an a...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-12, Vol.84 (6)
Main Authors: Vanvincq, O., Travers, J. C., Kudlinski, A., Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq
Format: Article
Language:English
Subjects:
ATTENUATION
CHERENKOV RADIATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPUTERIZED SIMULATION
NONLINEAR PROBLEMS
OPTICAL FIBERS
PHOTON EMISSION
PHOTONS
RAMAN EFFECT
SCHROEDINGER EQUATION
SOLITONS
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue 6
container_start_page
container_title Physical review. A, Atomic, molecular, and optical physics
container_volume 84
creator Vanvincq, O.
Travers, J. C.
Kudlinski, A.
Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq
description We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an additional term, which ensures the conservation of the total photon number in nonuniform optical fibers in the absence of attenuation. Numerical simulations confirm the validity of this theory in the context of a Raman-induced soliton self-frequency shift, emission of Cherenkov radiation, and a soliton blue shift.
doi_str_mv 10.1103/PHYSREVA.84.063820
format article
fullrecord <record><control><sourceid>osti</sourceid><recordid>TN_cdi_osti_scitechconnect_22095709</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>22095709</sourcerecordid><originalsourceid>FETCH-osti_scitechconnect_220957093</originalsourceid><addsrcrecordid>eNqNjM1uwjAQhC3USqU_L9CTpZ4TbCdAfKwQFceqVEickGs2ZJG7praJSp--7s8DsJfd2flmGLuXopRSVKPnxXr5Ml89lk1diknVKDFgQyl0XciJUhc_91gUStfTK3Yd417kqRs9ZP3MU4TQm4SeuG956oAfOp-youP7GwSO9PvcAUEwDr9gy8mTQwIT-NJ2wcMWaZdJ-Dj-9eSI-UTj3In3Jpyyy_0hoTWOt5g74y27bI2LcPe_b9jD0_x1tih8TLiJFhPYznoisGmjlNDjqdDVedQ35SdV6A</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers</title><source>American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)</source><creator>Vanvincq, O. ; Travers, J. C. ; Kudlinski, A. ; Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</creator><creatorcontrib>Vanvincq, O. ; Travers, J. C. ; Kudlinski, A. ; Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</creatorcontrib><description>We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an additional term, which ensures the conservation of the total photon number in nonuniform optical fibers in the absence of attenuation. Numerical simulations confirm the validity of this theory in the context of a Raman-induced soliton self-frequency shift, emission of Cherenkov radiation, and a soliton blue shift.</description><identifier>ISSN: 1050-2947</identifier><identifier>EISSN: 1094-1622</identifier><identifier>DOI: 10.1103/PHYSREVA.84.063820</identifier><language>eng</language><publisher>United States</publisher><subject>ATTENUATION ; CHERENKOV RADIATION ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; COMPUTERIZED SIMULATION ; NONLINEAR PROBLEMS ; OPTICAL FIBERS ; PHOTON EMISSION ; PHOTONS ; RAMAN EFFECT ; SCHROEDINGER EQUATION ; SOLITONS</subject><ispartof>Physical review. A, Atomic, molecular, and optical physics, 2011-12, Vol.84 (6)</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27924,27925</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22095709$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Vanvincq, O.</creatorcontrib><creatorcontrib>Travers, J. C.</creatorcontrib><creatorcontrib>Kudlinski, A.</creatorcontrib><creatorcontrib>Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</creatorcontrib><title>Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers</title><title>Physical review. A, Atomic, molecular, and optical physics</title><description>We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an additional term, which ensures the conservation of the total photon number in nonuniform optical fibers in the absence of attenuation. Numerical simulations confirm the validity of this theory in the context of a Raman-induced soliton self-frequency shift, emission of Cherenkov radiation, and a soliton blue shift.</description><subject>ATTENUATION</subject><subject>CHERENKOV RADIATION</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>COMPUTERIZED SIMULATION</subject><subject>NONLINEAR PROBLEMS</subject><subject>OPTICAL FIBERS</subject><subject>PHOTON EMISSION</subject><subject>PHOTONS</subject><subject>RAMAN EFFECT</subject><subject>SCHROEDINGER EQUATION</subject><subject>SOLITONS</subject><issn>1050-2947</issn><issn>1094-1622</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNjM1uwjAQhC3USqU_L9CTpZ4TbCdAfKwQFceqVEickGs2ZJG7praJSp--7s8DsJfd2flmGLuXopRSVKPnxXr5Ml89lk1diknVKDFgQyl0XciJUhc_91gUStfTK3Yd417kqRs9ZP3MU4TQm4SeuG956oAfOp-youP7GwSO9PvcAUEwDr9gy8mTQwIT-NJ2wcMWaZdJ-Dj-9eSI-UTj3In3Jpyyy_0hoTWOt5g74y27bI2LcPe_b9jD0_x1tih8TLiJFhPYznoisGmjlNDjqdDVedQ35SdV6A</recordid><startdate>20111215</startdate><enddate>20111215</enddate><creator>Vanvincq, O.</creator><creator>Travers, J. C.</creator><creator>Kudlinski, A.</creator><creator>Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</creator><scope>OTOTI</scope></search><sort><creationdate>20111215</creationdate><title>Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers</title><author>Vanvincq, O. ; Travers, J. C. ; Kudlinski, A. ; Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-osti_scitechconnect_220957093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>ATTENUATION</topic><topic>CHERENKOV RADIATION</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>COMPUTERIZED SIMULATION</topic><topic>NONLINEAR PROBLEMS</topic><topic>OPTICAL FIBERS</topic><topic>PHOTON EMISSION</topic><topic>PHOTONS</topic><topic>RAMAN EFFECT</topic><topic>SCHROEDINGER EQUATION</topic><topic>SOLITONS</topic><toplevel>online_resources</toplevel><creatorcontrib>Vanvincq, O.</creatorcontrib><creatorcontrib>Travers, J. C.</creatorcontrib><creatorcontrib>Kudlinski, A.</creatorcontrib><creatorcontrib>Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</creatorcontrib><collection>OSTI.GOV</collection><jtitle>Physical review. A, Atomic, molecular, and optical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vanvincq, O.</au><au>Travers, J. C.</au><au>Kudlinski, A.</au><au>Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers</atitle><jtitle>Physical review. A, Atomic, molecular, and optical physics</jtitle><date>2011-12-15</date><risdate>2011</risdate><volume>84</volume><issue>6</issue><issn>1050-2947</issn><eissn>1094-1622</eissn><abstract>We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an additional term, which ensures the conservation of the total photon number in nonuniform optical fibers in the absence of attenuation. Numerical simulations confirm the validity of this theory in the context of a Raman-induced soliton self-frequency shift, emission of Cherenkov radiation, and a soliton blue shift.</abstract><cop>United States</cop><doi>10.1103/PHYSREVA.84.063820</doi></addata></record>
fulltext fulltext
identifier ISSN: 1050-2947
ispartof Physical review. A, Atomic, molecular, and optical physics, 2011-12, Vol.84 (6)
issn 1050-2947
1094-1622
language eng
recordid cdi_osti_scitechconnect_22095709
source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects ATTENUATION
CHERENKOV RADIATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPUTERIZED SIMULATION
NONLINEAR PROBLEMS
OPTICAL FIBERS
PHOTON EMISSION
PHOTONS
RAMAN EFFECT
SCHROEDINGER EQUATION
SOLITONS
title Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T21%3A32%3A23IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-osti&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Conservation%20of%20the%20photon%20number%20in%20the%20generalized%20nonlinear%20Schroedinger%20equation%20in%20axially%20varying%20optical%20fibers&rft.jtitle=Physical%20review.%20A,%20Atomic,%20molecular,%20and%20optical%20physics&rft.au=Vanvincq,%20O.&rft.date=2011-12-15&rft.volume=84&rft.issue=6&rft.issn=1050-2947&rft.eissn=1094-1622&rft_id=info:doi/10.1103/PHYSREVA.84.063820&rft_dat=%3Costi%3E22095709%3C/osti%3E%3Cgrp_id%3Ecdi_FETCH-osti_scitechconnect_220957093%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true