Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity
This paper presents an investigation of self-focusing of Hermite-Gaussian laser beams in plasma considering relativistic nonlinearity. The differential equations for beam width parameters are obtained using the usual Wentzel–Kramers–Brillouin and paraxial approximations. The nonlinearity in the diel...
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| description | This paper presents an investigation of self-focusing of Hermite-Gaussian laser beams in plasma considering relativistic nonlinearity. The differential equations for beam width parameters are obtained using the usual Wentzel–Kramers–Brillouin and paraxial approximations. The nonlinearity in the dielectric constant is assumed to be aroused mainly due to the relativistic mass correction of electron. To highlight the nature of focusing, graphical results of the behavior of beam-width parameters with the dimensionless distance of propagation is presented. The numerical computation is completed by using Taylor series method. The present work is helpful to understand issues related to the beam propagation in laser plasma interaction experiments. |
| doi_str_mv | 10.1063/1.4926713 |
| format | Conference Proceeding |
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The differential equations for beam width parameters are obtained using the usual Wentzel–Kramers–Brillouin and paraxial approximations. The nonlinearity in the dielectric constant is assumed to be aroused mainly due to the relativistic mass correction of electron. To highlight the nature of focusing, graphical results of the behavior of beam-width parameters with the dimensionless distance of propagation is presented. The numerical computation is completed by using Taylor series method. The present work is helpful to understand issues related to the beam propagation in laser plasma interaction experiments.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.4926713</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>BEAM PROFILES ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; DIFFERENTIAL EQUATIONS ; Dimensionless numbers ; ELECTRONS ; FOCUSING ; Gaussian beams (optics) ; Laser beams ; Laser plasma interactions ; Laser plasmas ; LASER RADIATION ; Lasers ; NONLINEAR PROBLEMS ; Nonlinearity ; Numerical analysis ; Parameters ; PERMITTIVITY ; PHOTON BEAMS ; PLASMA ; Plasma interactions ; Propagation ; Relativism ; Relativistic effects ; RELATIVISTIC RANGE ; Taylor series ; WKB APPROXIMATION</subject><ispartof>AIP conference proceedings, 2015, Vol.1670 (1)</ispartof><rights>2015 AIP Publishing LLC.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c251t-c291a4f2680f4008825a75f33218630ea12a22bc8327e193f21981858f0a59c43</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,309,310,314,776,780,785,786,881,23909,23910,25118,27901,27902</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22488666$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Sharma, Prerana</creatorcontrib><title>Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity</title><title>AIP conference proceedings</title><description>This paper presents an investigation of self-focusing of Hermite-Gaussian laser beams in plasma considering relativistic nonlinearity. The differential equations for beam width parameters are obtained using the usual Wentzel–Kramers–Brillouin and paraxial approximations. The nonlinearity in the dielectric constant is assumed to be aroused mainly due to the relativistic mass correction of electron. To highlight the nature of focusing, graphical results of the behavior of beam-width parameters with the dimensionless distance of propagation is presented. The numerical computation is completed by using Taylor series method. The present work is helpful to understand issues related to the beam propagation in laser plasma interaction experiments.</description><subject>BEAM PROFILES</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>Dimensionless numbers</subject><subject>ELECTRONS</subject><subject>FOCUSING</subject><subject>Gaussian beams (optics)</subject><subject>Laser beams</subject><subject>Laser plasma interactions</subject><subject>Laser plasmas</subject><subject>LASER RADIATION</subject><subject>Lasers</subject><subject>NONLINEAR PROBLEMS</subject><subject>Nonlinearity</subject><subject>Numerical analysis</subject><subject>Parameters</subject><subject>PERMITTIVITY</subject><subject>PHOTON BEAMS</subject><subject>PLASMA</subject><subject>Plasma interactions</subject><subject>Propagation</subject><subject>Relativism</subject><subject>Relativistic effects</subject><subject>RELATIVISTIC RANGE</subject><subject>Taylor series</subject><subject>WKB APPROXIMATION</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2015</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNpFjk1LAzEURYMoWKsL_0HA9dS8l49JllK0FQsuVHA3pCGxKdNEJxnFf--Agpt7N5dzDyGXwBbAFL-GhTCoWuBHZAZSQtMqUMdkxpgRDQr-ekrOStkzhqZt9Yw8PPk-NCG7scT0RnOgaz8cYvXNyo6lRJtob4sf6NbbA_2KdUcH39saP2Op0dGUUx-Tt0Os3-fkJNi--Iu_npOXu9vn5brZPK7ulzebxqGEOqUBKwIqzYJgTGuUtpWBcwStOPMW0CJunebYejA8IBgNWurArDRO8Dm5-uXmSaErbrJ1O5dT8q52iEJrpdT_6n3IH6MvtdvncUiTWIeAAth0p_kPcctYqw</recordid><startdate>20150731</startdate><enddate>20150731</enddate><creator>Sharma, Prerana</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20150731</creationdate><title>Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity</title><author>Sharma, Prerana</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c251t-c291a4f2680f4008825a75f33218630ea12a22bc8327e193f21981858f0a59c43</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2015</creationdate><topic>BEAM PROFILES</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>Dimensionless numbers</topic><topic>ELECTRONS</topic><topic>FOCUSING</topic><topic>Gaussian beams (optics)</topic><topic>Laser beams</topic><topic>Laser plasma interactions</topic><topic>Laser plasmas</topic><topic>LASER RADIATION</topic><topic>Lasers</topic><topic>NONLINEAR PROBLEMS</topic><topic>Nonlinearity</topic><topic>Numerical analysis</topic><topic>Parameters</topic><topic>PERMITTIVITY</topic><topic>PHOTON BEAMS</topic><topic>PLASMA</topic><topic>Plasma interactions</topic><topic>Propagation</topic><topic>Relativism</topic><topic>Relativistic effects</topic><topic>RELATIVISTIC RANGE</topic><topic>Taylor series</topic><topic>WKB APPROXIMATION</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sharma, Prerana</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sharma, Prerana</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity</atitle><btitle>AIP conference proceedings</btitle><date>2015-07-31</date><risdate>2015</risdate><volume>1670</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><abstract>This paper presents an investigation of self-focusing of Hermite-Gaussian laser beams in plasma considering relativistic nonlinearity. The differential equations for beam width parameters are obtained using the usual Wentzel–Kramers–Brillouin and paraxial approximations. The nonlinearity in the dielectric constant is assumed to be aroused mainly due to the relativistic mass correction of electron. To highlight the nature of focusing, graphical results of the behavior of beam-width parameters with the dimensionless distance of propagation is presented. The numerical computation is completed by using Taylor series method. The present work is helpful to understand issues related to the beam propagation in laser plasma interaction experiments.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4926713</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2015, Vol.1670 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_osti_scitechconnect_22488666 |
| source | AIP Journals Complete |
| subjects | BEAM PROFILES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFERENTIAL EQUATIONS Dimensionless numbers ELECTRONS FOCUSING Gaussian beams (optics) Laser beams Laser plasma interactions Laser plasmas LASER RADIATION Lasers NONLINEAR PROBLEMS Nonlinearity Numerical analysis Parameters PERMITTIVITY PHOTON BEAMS PLASMA Plasma interactions Propagation Relativism Relativistic effects RELATIVISTIC RANGE Taylor series WKB APPROXIMATION |
| title | Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity |
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