Analytic partial wave expansion and integral representation of Bessel beam
This paper describes the partial wave expansion and integral representation of Bessel beams in free space and in the presence of dispersion. The expansion of the Bessel beam wavepacket with constant spectrum is obtained as well. Furthermore, the sum of a triple Legendre polynomial product of same or...
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| creator | Hodzic, Amer |
| description | This paper describes the partial wave expansion and integral representation
of Bessel beams in free space and in the presence of dispersion. The expansion
of the Bessel beam wavepacket with constant spectrum is obtained as well.
Furthermore, the sum of a triple Legendre polynomial product of same order but
different argument follows naturally from the partial wave expansion. The
integration of all Bessel beams over all conical angles is shown to have a
simple series representation, which confirms the equivalence between the
results for both expansion and integral representation. |
| doi_str_mv | 10.48550/arxiv.1104.0719 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1104_0719</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1104_0719</sourcerecordid><originalsourceid>FETCH-LOGICAL-a659-a30c8ee4e34e8ae53b9028a9a3724169215b6cdcbd445b6a7863b6dca058b1bd3</originalsourceid><addsrcrecordid>eNotj81KAzEURrNxIdW9K8kLzJhMfiZZ1qJVKXTT_XCT3Epgmg5JqO3bt6Ouvg8OHDiEPHHWSqMUe4F8jqeWcyZb1nN7T76WCcZLjZ5OkGuEkf7ACSmeJ0glHhOFFGhMFb_zjWWcMhZMFerMjnv6iqXgSB3C4YHc7WEs-Pi_C7J7f9utPprNdv25Wm4a0Mo2IJg3iBKFRAOohLOsM2BB9J3k2nZcOe2Dd0HK24PeaOF08MCUcdwFsSDPf9rflmHK8QD5MsxNw9wkrjs7R8Q</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Analytic partial wave expansion and integral representation of Bessel beam</title><source>arXiv.org</source><creator>Hodzic, Amer</creator><creatorcontrib>Hodzic, Amer</creatorcontrib><description>This paper describes the partial wave expansion and integral representation
of Bessel beams in free space and in the presence of dispersion. The expansion
of the Bessel beam wavepacket with constant spectrum is obtained as well.
Furthermore, the sum of a triple Legendre polynomial product of same order but
different argument follows naturally from the partial wave expansion. The
integration of all Bessel beams over all conical angles is shown to have a
simple series representation, which confirms the equivalence between the
results for both expansion and integral representation.</description><identifier>DOI: 10.48550/arxiv.1104.0719</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics ; Physics - Optics</subject><creationdate>2011-04</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1104.0719$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1104.0719$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Hodzic, Amer</creatorcontrib><title>Analytic partial wave expansion and integral representation of Bessel beam</title><description>This paper describes the partial wave expansion and integral representation
of Bessel beams in free space and in the presence of dispersion. The expansion
of the Bessel beam wavepacket with constant spectrum is obtained as well.
Furthermore, the sum of a triple Legendre polynomial product of same order but
different argument follows naturally from the partial wave expansion. The
integration of all Bessel beams over all conical angles is shown to have a
simple series representation, which confirms the equivalence between the
results for both expansion and integral representation.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Optics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81KAzEURrNxIdW9K8kLzJhMfiZZ1qJVKXTT_XCT3Epgmg5JqO3bt6Ouvg8OHDiEPHHWSqMUe4F8jqeWcyZb1nN7T76WCcZLjZ5OkGuEkf7ACSmeJ0glHhOFFGhMFb_zjWWcMhZMFerMjnv6iqXgSB3C4YHc7WEs-Pi_C7J7f9utPprNdv25Wm4a0Mo2IJg3iBKFRAOohLOsM2BB9J3k2nZcOe2Dd0HK24PeaOF08MCUcdwFsSDPf9rflmHK8QD5MsxNw9wkrjs7R8Q</recordid><startdate>20110404</startdate><enddate>20110404</enddate><creator>Hodzic, Amer</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20110404</creationdate><title>Analytic partial wave expansion and integral representation of Bessel beam</title><author>Hodzic, Amer</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a659-a30c8ee4e34e8ae53b9028a9a3724169215b6cdcbd445b6a7863b6dca058b1bd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Optics</topic><toplevel>online_resources</toplevel><creatorcontrib>Hodzic, Amer</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Hodzic, Amer</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytic partial wave expansion and integral representation of Bessel beam</atitle><date>2011-04-04</date><risdate>2011</risdate><abstract>This paper describes the partial wave expansion and integral representation
of Bessel beams in free space and in the presence of dispersion. The expansion
of the Bessel beam wavepacket with constant spectrum is obtained as well.
Furthermore, the sum of a triple Legendre polynomial product of same order but
different argument follows naturally from the partial wave expansion. The
integration of all Bessel beams over all conical angles is shown to have a
simple series representation, which confirms the equivalence between the
results for both expansion and integral representation.</abstract><doi>10.48550/arxiv.1104.0719</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | arXiv.org |
| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Optics |
| title | Analytic partial wave expansion and integral representation of Bessel beam |
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