The non-diffracting nature of truncated Hermite–Gaussian beams
Using the asymptotic formula of the Hermite polynomials for higher-orders n ≫ 1 , an elegant mathematical expression that makes Hermite–Gaussian beams and cosine beams equivalent is obtained. Two factors of merit, the similarity and the power content ratio, are used to quantify the degree of equival...
Gespeichert in:
| Veröffentlicht in: | Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2020-11, Vol.37 (11), p.C1-C6 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | C6 |
|---|---|
| container_issue | 11 |
| container_start_page | C1 |
| container_title | Journal of the Optical Society of America. A, Optics, image science, and vision |
| container_volume | 37 |
| creator | Bencheikh, Abdelhalim Forbes, Andrew |
| description | Using the asymptotic formula of the Hermite polynomials for
higher-orders
n
≫
1
, an elegant mathematical expression
that makes Hermite–Gaussian beams and cosine beams equivalent is
obtained. Two factors of merit, the similarity and the power content
ratio, are used to quantify the degree of equivalence between the two
beams. These results yield a new nondiffracting Hermite–Gaussian beam
in one dimension (1D) and that is easily extended to 2D. |
| doi_str_mv | 10.1364/JOSAA.385913 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_2460085522</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2460085522</sourcerecordid><originalsourceid>FETCH-LOGICAL-c268t-2223e1dcf49460a6233aa8cc05379086e86609c3608f161772432e0f0d7884a53</originalsourceid><addsrcrecordid>eNotkL1OwzAUhS0EEqWw8QAZGUi5_o2zUVW0BVXqQJkt41xDUOMU2xnYeAfekCehUKZzhqPvSB8hlxQmlCtx87B-nE4nXMua8iMyopJBqSVnx_sOWpSVZPUpOUvpDQCE0tWI3G5esQh9KJvW-2hdbsNLEWweIha9L3IcgrMZm2KJsWszfn9-LeyQUmtD8Yy2S-fkxNttwov_HJOn-d1mtixX68X9bLoqHVM6l4wxjrRxXtRCgVWMc2u1cyB5VYNWqJWC2nEF2lNFq4oJzhA8NJXWwko-JlcH7i727wOmbLo2OdxubcB-SIbtsaCl3P-MyfVh6mKfUkRvdrHtbPwwFMyvKPMnyhxE8R9_gVpV</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2460085522</pqid></control><display><type>article</type><title>The non-diffracting nature of truncated Hermite–Gaussian beams</title><source>Optica Publishing Group Journals</source><creator>Bencheikh, Abdelhalim ; Forbes, Andrew</creator><creatorcontrib>Bencheikh, Abdelhalim ; Forbes, Andrew</creatorcontrib><description>Using the asymptotic formula of the Hermite polynomials for
higher-orders
n
≫
1
, an elegant mathematical expression
that makes Hermite–Gaussian beams and cosine beams equivalent is
obtained. Two factors of merit, the similarity and the power content
ratio, are used to quantify the degree of equivalence between the two
beams. These results yield a new nondiffracting Hermite–Gaussian beam
in one dimension (1D) and that is easily extended to 2D.</description><identifier>ISSN: 1084-7529</identifier><identifier>EISSN: 1520-8532</identifier><identifier>DOI: 10.1364/JOSAA.385913</identifier><language>eng</language><ispartof>Journal of the Optical Society of America. A, Optics, image science, and vision, 2020-11, Vol.37 (11), p.C1-C6</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c268t-2223e1dcf49460a6233aa8cc05379086e86609c3608f161772432e0f0d7884a53</citedby><cites>FETCH-LOGICAL-c268t-2223e1dcf49460a6233aa8cc05379086e86609c3608f161772432e0f0d7884a53</cites><orcidid>0000-0001-7236-4821 ; 0000-0003-2552-5586</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,3245,27901,27902</link.rule.ids></links><search><creatorcontrib>Bencheikh, Abdelhalim</creatorcontrib><creatorcontrib>Forbes, Andrew</creatorcontrib><title>The non-diffracting nature of truncated Hermite–Gaussian beams</title><title>Journal of the Optical Society of America. A, Optics, image science, and vision</title><description>Using the asymptotic formula of the Hermite polynomials for
higher-orders
n
≫
1
, an elegant mathematical expression
that makes Hermite–Gaussian beams and cosine beams equivalent is
obtained. Two factors of merit, the similarity and the power content
ratio, are used to quantify the degree of equivalence between the two
beams. These results yield a new nondiffracting Hermite–Gaussian beam
in one dimension (1D) and that is easily extended to 2D.</description><issn>1084-7529</issn><issn>1520-8532</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNotkL1OwzAUhS0EEqWw8QAZGUi5_o2zUVW0BVXqQJkt41xDUOMU2xnYeAfekCehUKZzhqPvSB8hlxQmlCtx87B-nE4nXMua8iMyopJBqSVnx_sOWpSVZPUpOUvpDQCE0tWI3G5esQh9KJvW-2hdbsNLEWweIha9L3IcgrMZm2KJsWszfn9-LeyQUmtD8Yy2S-fkxNttwov_HJOn-d1mtixX68X9bLoqHVM6l4wxjrRxXtRCgVWMc2u1cyB5VYNWqJWC2nEF2lNFq4oJzhA8NJXWwko-JlcH7i727wOmbLo2OdxubcB-SIbtsaCl3P-MyfVh6mKfUkRvdrHtbPwwFMyvKPMnyhxE8R9_gVpV</recordid><startdate>20201101</startdate><enddate>20201101</enddate><creator>Bencheikh, Abdelhalim</creator><creator>Forbes, Andrew</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0001-7236-4821</orcidid><orcidid>https://orcid.org/0000-0003-2552-5586</orcidid></search><sort><creationdate>20201101</creationdate><title>The non-diffracting nature of truncated Hermite–Gaussian beams</title><author>Bencheikh, Abdelhalim ; Forbes, Andrew</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-2223e1dcf49460a6233aa8cc05379086e86609c3608f161772432e0f0d7884a53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bencheikh, Abdelhalim</creatorcontrib><creatorcontrib>Forbes, Andrew</creatorcontrib><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of the Optical Society of America. A, Optics, image science, and vision</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bencheikh, Abdelhalim</au><au>Forbes, Andrew</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The non-diffracting nature of truncated Hermite–Gaussian beams</atitle><jtitle>Journal of the Optical Society of America. A, Optics, image science, and vision</jtitle><date>2020-11-01</date><risdate>2020</risdate><volume>37</volume><issue>11</issue><spage>C1</spage><epage>C6</epage><pages>C1-C6</pages><issn>1084-7529</issn><eissn>1520-8532</eissn><abstract>Using the asymptotic formula of the Hermite polynomials for
higher-orders
n
≫
1
, an elegant mathematical expression
that makes Hermite–Gaussian beams and cosine beams equivalent is
obtained. Two factors of merit, the similarity and the power content
ratio, are used to quantify the degree of equivalence between the two
beams. These results yield a new nondiffracting Hermite–Gaussian beam
in one dimension (1D) and that is easily extended to 2D.</abstract><doi>10.1364/JOSAA.385913</doi><orcidid>https://orcid.org/0000-0001-7236-4821</orcidid><orcidid>https://orcid.org/0000-0003-2552-5586</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1084-7529 |
| ispartof | Journal of the Optical Society of America. A, Optics, image science, and vision, 2020-11, Vol.37 (11), p.C1-C6 |
| issn | 1084-7529 1520-8532 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_2460085522 |
| source | Optica Publishing Group Journals |
| title | The non-diffracting nature of truncated Hermite–Gaussian beams |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T10%3A40%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20non-diffracting%20nature%20of%20truncated%20Hermite%E2%80%93Gaussian%20beams&rft.jtitle=Journal%20of%20the%20Optical%20Society%20of%20America.%20A,%20Optics,%20image%20science,%20and%20vision&rft.au=Bencheikh,%20Abdelhalim&rft.date=2020-11-01&rft.volume=37&rft.issue=11&rft.spage=C1&rft.epage=C6&rft.pages=C1-C6&rft.issn=1084-7529&rft.eissn=1520-8532&rft_id=info:doi/10.1364/JOSAA.385913&rft_dat=%3Cproquest_cross%3E2460085522%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2460085522&rft_id=info:pmid/&rfr_iscdi=true |