Temporal analysis of Airy beam propagation in photorefractive media
•Temporal Airy beam behavior and interactions in a local nonlinear medium are studied.•Simulations show that the Airy beam propagation is controlled by illumination time.•For saturated nonlinearity, Airy beam amplitude controls its propagation direction.•Breathing solitons and parallel soliton pairs...
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| Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2019-09, Vol.76, p.45-50 |
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| container_title | Communications in nonlinear science & numerical simulation |
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| creator | Zhang, M.Z. Zhang, T.Y. Huo, G.W. Hui, Z.Q. Duan, Z.L. Zha, X.W. |
| description | •Temporal Airy beam behavior and interactions in a local nonlinear medium are studied.•Simulations show that the Airy beam propagation is controlled by illumination time.•For saturated nonlinearity, Airy beam amplitude controls its propagation direction.•Breathing solitons and parallel soliton pairs are produced in- and out-of-phase.
We theoretically examine the temporal behavior of Airy beams and their interactions in photorefractive medium with the split-step Fourier method. Simulations indicate that Airy beam propagations are effectively controlled by the illumination time. Under saturated nonlinearity, the beam intensity maintains the soliton profile at the output section, and its propagation direction is modulated by the beam amplitude. Moreover, the temporal behavior of Airy beam interactions varies greatly with illumination time, especially for the in-phase case. Breathing solitons and parallel soliton pairs are produced in-phase and out-of-phase, respectively. These results are potentially useful in all-optical device applications. |
| doi_str_mv | 10.1016/j.cnsns.2019.04.011 |
| format | Article |
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We theoretically examine the temporal behavior of Airy beams and their interactions in photorefractive medium with the split-step Fourier method. Simulations indicate that Airy beam propagations are effectively controlled by the illumination time. Under saturated nonlinearity, the beam intensity maintains the soliton profile at the output section, and its propagation direction is modulated by the beam amplitude. Moreover, the temporal behavior of Airy beam interactions varies greatly with illumination time, especially for the in-phase case. Breathing solitons and parallel soliton pairs are produced in-phase and out-of-phase, respectively. These results are potentially useful in all-optical device applications.</description><identifier>ISSN: 1007-5704</identifier><identifier>EISSN: 1878-7274</identifier><identifier>DOI: 10.1016/j.cnsns.2019.04.011</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Airy beam ; Beam interactions ; Beams (radiation) ; Crack propagation ; Fourier transforms ; Illumination ; Optical properties ; Photorefractivity ; Propagation ; Saturated nonlinearity ; Solitary waves ; Spatial soliton ; Split-step Fourier method ; Symmetry</subject><ispartof>Communications in nonlinear science & numerical simulation, 2019-09, Vol.76, p.45-50</ispartof><rights>2019 Elsevier B.V.</rights><rights>Copyright Elsevier Science Ltd. Sep 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c331t-dd4c5d732f4b4abadcc2f0b0f194b828dd0b95b0668f5dd06834b4c35c3e82b03</citedby><cites>FETCH-LOGICAL-c331t-dd4c5d732f4b4abadcc2f0b0f194b828dd0b95b0668f5dd06834b4c35c3e82b03</cites><orcidid>0000-0002-7182-0271</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S1007570419301145$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Zhang, M.Z.</creatorcontrib><creatorcontrib>Zhang, T.Y.</creatorcontrib><creatorcontrib>Huo, G.W.</creatorcontrib><creatorcontrib>Hui, Z.Q.</creatorcontrib><creatorcontrib>Duan, Z.L.</creatorcontrib><creatorcontrib>Zha, X.W.</creatorcontrib><title>Temporal analysis of Airy beam propagation in photorefractive media</title><title>Communications in nonlinear science & numerical simulation</title><description>•Temporal Airy beam behavior and interactions in a local nonlinear medium are studied.•Simulations show that the Airy beam propagation is controlled by illumination time.•For saturated nonlinearity, Airy beam amplitude controls its propagation direction.•Breathing solitons and parallel soliton pairs are produced in- and out-of-phase.
We theoretically examine the temporal behavior of Airy beams and their interactions in photorefractive medium with the split-step Fourier method. Simulations indicate that Airy beam propagations are effectively controlled by the illumination time. Under saturated nonlinearity, the beam intensity maintains the soliton profile at the output section, and its propagation direction is modulated by the beam amplitude. Moreover, the temporal behavior of Airy beam interactions varies greatly with illumination time, especially for the in-phase case. Breathing solitons and parallel soliton pairs are produced in-phase and out-of-phase, respectively. These results are potentially useful in all-optical device applications.</description><subject>Airy beam</subject><subject>Beam interactions</subject><subject>Beams (radiation)</subject><subject>Crack propagation</subject><subject>Fourier transforms</subject><subject>Illumination</subject><subject>Optical properties</subject><subject>Photorefractivity</subject><subject>Propagation</subject><subject>Saturated nonlinearity</subject><subject>Solitary waves</subject><subject>Spatial soliton</subject><subject>Split-step Fourier method</subject><subject>Symmetry</subject><issn>1007-5704</issn><issn>1878-7274</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPwzAQhC0EEqXwC7hY4pywfiRxDhyqipdUiUs5W34FHDVxsNNK_fcYypnT7krzrWYGoVsCJQFS3_elGdOYSgqkLYGXQMgZWhDRiKKhDT_PO0BTVA3wS3SVUg-Zaiu-QOutG6YQ1Q6rUe2OySccOrzy8Yi1UwOeYpjUh5p9GLEf8fQZ5hBdF5WZ_cHhwVmvrtFFp3bJ3fzNJXp_etyuX4rN2_PrerUpDGNkLqzlprINox3XXGlljaEdaOhIy7WgwlrQbaWhrkVX5aMWLAsNqwxzgmpgS3R3-ptNfe1dmmUf9jHbTpJSThhlgrdZxU4qE0NK2aucoh9UPEoC8qct2cvftuRPWxK4zG1l6uFEuRzg4F2UyXg3mpwvOjNLG_y__Ddv_nSs</recordid><startdate>201909</startdate><enddate>201909</enddate><creator>Zhang, M.Z.</creator><creator>Zhang, T.Y.</creator><creator>Huo, G.W.</creator><creator>Hui, Z.Q.</creator><creator>Duan, Z.L.</creator><creator>Zha, X.W.</creator><general>Elsevier B.V</general><general>Elsevier Science Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-7182-0271</orcidid></search><sort><creationdate>201909</creationdate><title>Temporal analysis of Airy beam propagation in photorefractive media</title><author>Zhang, M.Z. ; Zhang, T.Y. ; Huo, G.W. ; Hui, Z.Q. ; Duan, Z.L. ; Zha, X.W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-dd4c5d732f4b4abadcc2f0b0f194b828dd0b95b0668f5dd06834b4c35c3e82b03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Airy beam</topic><topic>Beam interactions</topic><topic>Beams (radiation)</topic><topic>Crack propagation</topic><topic>Fourier transforms</topic><topic>Illumination</topic><topic>Optical properties</topic><topic>Photorefractivity</topic><topic>Propagation</topic><topic>Saturated nonlinearity</topic><topic>Solitary waves</topic><topic>Spatial soliton</topic><topic>Split-step Fourier method</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, M.Z.</creatorcontrib><creatorcontrib>Zhang, T.Y.</creatorcontrib><creatorcontrib>Huo, G.W.</creatorcontrib><creatorcontrib>Hui, Z.Q.</creatorcontrib><creatorcontrib>Duan, Z.L.</creatorcontrib><creatorcontrib>Zha, X.W.</creatorcontrib><collection>CrossRef</collection><jtitle>Communications in nonlinear science & numerical simulation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, M.Z.</au><au>Zhang, T.Y.</au><au>Huo, G.W.</au><au>Hui, Z.Q.</au><au>Duan, Z.L.</au><au>Zha, X.W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Temporal analysis of Airy beam propagation in photorefractive media</atitle><jtitle>Communications in nonlinear science & numerical simulation</jtitle><date>2019-09</date><risdate>2019</risdate><volume>76</volume><spage>45</spage><epage>50</epage><pages>45-50</pages><issn>1007-5704</issn><eissn>1878-7274</eissn><abstract>•Temporal Airy beam behavior and interactions in a local nonlinear medium are studied.•Simulations show that the Airy beam propagation is controlled by illumination time.•For saturated nonlinearity, Airy beam amplitude controls its propagation direction.•Breathing solitons and parallel soliton pairs are produced in- and out-of-phase.
We theoretically examine the temporal behavior of Airy beams and their interactions in photorefractive medium with the split-step Fourier method. Simulations indicate that Airy beam propagations are effectively controlled by the illumination time. Under saturated nonlinearity, the beam intensity maintains the soliton profile at the output section, and its propagation direction is modulated by the beam amplitude. Moreover, the temporal behavior of Airy beam interactions varies greatly with illumination time, especially for the in-phase case. Breathing solitons and parallel soliton pairs are produced in-phase and out-of-phase, respectively. These results are potentially useful in all-optical device applications.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.cnsns.2019.04.011</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0002-7182-0271</orcidid></addata></record> |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Airy beam Beam interactions Beams (radiation) Crack propagation Fourier transforms Illumination Optical properties Photorefractivity Propagation Saturated nonlinearity Solitary waves Spatial soliton Split-step Fourier method Symmetry |
| title | Temporal analysis of Airy beam propagation in photorefractive media |
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