Mutual-focusing of two co-propagating beams and formation of trapped spatial breather pair in saturable nonlinear media
In this paper, using parabolic equation approach, coupled propagation of two coaxially co-propagating and mutually incoherent bright cylindrical beams in saturable nonlinear medium has been investigated. Considering the coupling coefficient equal to unity ( κ=1), a detailed account of formation of s...
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| Veröffentlicht in: | Optik (Stuttgart) 2010-02, Vol.121 (4), p.339-346 |
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| creator | Sarkar, Ram Krishna Medhekar, S. |
| description | In this paper, using parabolic equation approach, coupled propagation of two coaxially co-propagating and mutually incoherent bright cylindrical beams in saturable nonlinear medium has been investigated. Considering the coupling coefficient equal to unity (
κ=1), a detailed account of formation of spatial soliton pair (i.e. both beams are stationary trapped) and spatial breather pair (i.e. width of each beam oscillates with the propagation distance) has been provided and existence of spatially trapped breather pair (i.e. average width of each breather of the pair does not change with the propagation distance) has been shown. Conditions of formation of trapped spatial breather pair and their existence line has also been revealed for arbitrary beam width ratio of the beams. It is revealed that spatial soliton pairs are just a special case of trapped breather pair. The regions (conditions) of mutual-focusing and mutual-defocusing of spatial soliton pair/breather pair have also been identified. Lastly, the law of trapped breather pair formation is proposed. |
| doi_str_mv | 10.1016/j.ijleo.2008.07.022 |
| format | Article |
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κ=1), a detailed account of formation of spatial soliton pair (i.e. both beams are stationary trapped) and spatial breather pair (i.e. width of each beam oscillates with the propagation distance) has been provided and existence of spatially trapped breather pair (i.e. average width of each breather of the pair does not change with the propagation distance) has been shown. Conditions of formation of trapped spatial breather pair and their existence line has also been revealed for arbitrary beam width ratio of the beams. It is revealed that spatial soliton pairs are just a special case of trapped breather pair. The regions (conditions) of mutual-focusing and mutual-defocusing of spatial soliton pair/breather pair have also been identified. Lastly, the law of trapped breather pair formation is proposed.</description><identifier>ISSN: 0030-4026</identifier><identifier>EISSN: 1618-1336</identifier><identifier>DOI: 10.1016/j.ijleo.2008.07.022</identifier><identifier>CODEN: OTIKAJ</identifier><language>eng</language><publisher>Reutlingen: Elsevier GmbH</publisher><subject>Beam trapping, self-focusing and defocusing; self-phase modulation ; Beams (radiation) ; Beams (structural) ; Coupling coefficients ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Kerr media ; Law ; Mathematical analysis ; Nonlinear optics ; Nonlinearity ; Optical solitons; nonlinear guided waves ; Optics ; Physics ; Self-focusing ; Soliton pairing ; Solitons ; Spatial solitons ; Unity</subject><ispartof>Optik (Stuttgart), 2010-02, Vol.121 (4), p.339-346</ispartof><rights>2008 Elsevier GmbH</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c365t-830da9835914adec6e5bcdb597ce7473f65601403089748021be8d814cba7d1e3</citedby><cites>FETCH-LOGICAL-c365t-830da9835914adec6e5bcdb597ce7473f65601403089748021be8d814cba7d1e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijleo.2008.07.022$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,777,781,3537,27905,27906,45976</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22405650$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Sarkar, Ram Krishna</creatorcontrib><creatorcontrib>Medhekar, S.</creatorcontrib><title>Mutual-focusing of two co-propagating beams and formation of trapped spatial breather pair in saturable nonlinear media</title><title>Optik (Stuttgart)</title><description>In this paper, using parabolic equation approach, coupled propagation of two coaxially co-propagating and mutually incoherent bright cylindrical beams in saturable nonlinear medium has been investigated. Considering the coupling coefficient equal to unity (
κ=1), a detailed account of formation of spatial soliton pair (i.e. both beams are stationary trapped) and spatial breather pair (i.e. width of each beam oscillates with the propagation distance) has been provided and existence of spatially trapped breather pair (i.e. average width of each breather of the pair does not change with the propagation distance) has been shown. Conditions of formation of trapped spatial breather pair and their existence line has also been revealed for arbitrary beam width ratio of the beams. It is revealed that spatial soliton pairs are just a special case of trapped breather pair. The regions (conditions) of mutual-focusing and mutual-defocusing of spatial soliton pair/breather pair have also been identified. 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| source | Elsevier ScienceDirect Journals |
| subjects | Beam trapping, self-focusing and defocusing self-phase modulation Beams (radiation) Beams (structural) Coupling coefficients Exact sciences and technology Fundamental areas of phenomenology (including applications) Kerr media Law Mathematical analysis Nonlinear optics Nonlinearity Optical solitons nonlinear guided waves Optics Physics Self-focusing Soliton pairing Solitons Spatial solitons Unity |
| title | Mutual-focusing of two co-propagating beams and formation of trapped spatial breather pair in saturable nonlinear media |
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