Diffraction by three-dimensional slit-shape curves: decomposition in terms of Airy and Pearcey functions
We analyze the diffraction field generated by coherent illumination of a three-dimensional transmittance characterized by a slit-shape curve. Generic features are obtained using the Frenet-Serret equations, which allow a decomposition of the optical field. The analysis is performed by describing the...
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| Veröffentlicht in: | Optics letters 2015-08, Vol.40 (15), p.3496-3499 |
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| container_issue | 15 |
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| container_title | Optics letters |
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| creator | Martinez-Vara, P Barranco, J Silva De Los Santos G, S I Munoz-Lopez, J Torres-Rodriguez, M A Xique, R Suarez Martinez-Niconoff, G |
| description | We analyze the diffraction field generated by coherent illumination of a three-dimensional transmittance characterized by a slit-shape curve. Generic features are obtained using the Frenet-Serret equations, which allow a decomposition of the optical field. The analysis is performed by describing the influence of the curvature and torsion on osculating, normal, and rectifying planes. We show that the diffracted field has a decomposition in three optical fields propagating along three optical axes that are mutually perpendicular. The decomposition is in terms of the Pearcey and Airy functions, and the generalized Airy function. Experimental results are shown. |
| doi_str_mv | 10.1364/OL.40.003496 |
| format | Article |
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Experimental results are shown.</description><subject>Airy function</subject><subject>Coherence</subject><subject>Decomposition</subject><subject>Diffraction</subject><subject>Illumination</subject><subject>Mathematical analysis</subject><subject>Torsion</subject><subject>Transmittance</subject><issn>0146-9592</issn><issn>1539-4794</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNqFkTtPwzAUhS0EoqWwMSOPDKRcx48kbKg8pUhlgDlynGvVKI9iJ0j59_QFK9ORrr77DecQcslgzrgSt8t8LmAOwEWmjsiUSZ5FIsnEMZkCEyrKZBZPyFkInwCgEs5PySRWsUy5YFOyenDWem1617W0HGm_8ohR5Rpsw-akaxpq10dhpddIzeC_MdzRCk3XrLvgdl-upT36JtDO0nvnR6rbir6h9gZHaod25w7n5MTqOuDFIWfk4-nxffES5cvn18V9Hhkeiz6ygKiFSVMrZCZVpZPYJFbLyshSJXGJGddWcplhxUqtQIGwIIWoNALnjPEZud571777GjD0ReOCwbrWLXZDKFiqhEx4KuF_NAGeMCX41nqzR43vQvBoi7V3jfZjwaDYzlAs80JAsZ9hg18dzEPZYPUH__bOfwDtKoNR</recordid><startdate>20150801</startdate><enddate>20150801</enddate><creator>Martinez-Vara, P</creator><creator>Barranco, J Silva</creator><creator>De Los Santos G, S I</creator><creator>Munoz-Lopez, J</creator><creator>Torres-Rodriguez, M A</creator><creator>Xique, R Suarez</creator><creator>Martinez-Niconoff, G</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20150801</creationdate><title>Diffraction by three-dimensional slit-shape curves: decomposition in terms of Airy and Pearcey functions</title><author>Martinez-Vara, P ; Barranco, J Silva ; De Los Santos G, S I ; Munoz-Lopez, J ; Torres-Rodriguez, M A ; Xique, R Suarez ; Martinez-Niconoff, G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c324t-f0eea4c88f45956da72c7fa5dc5b672be93af5359ed1ba60604f0544dae033113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Airy function</topic><topic>Coherence</topic><topic>Decomposition</topic><topic>Diffraction</topic><topic>Illumination</topic><topic>Mathematical analysis</topic><topic>Torsion</topic><topic>Transmittance</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Martinez-Vara, P</creatorcontrib><creatorcontrib>Barranco, J Silva</creatorcontrib><creatorcontrib>De Los Santos G, S I</creatorcontrib><creatorcontrib>Munoz-Lopez, J</creatorcontrib><creatorcontrib>Torres-Rodriguez, M A</creatorcontrib><creatorcontrib>Xique, R Suarez</creatorcontrib><creatorcontrib>Martinez-Niconoff, G</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Optics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Martinez-Vara, P</au><au>Barranco, J Silva</au><au>De Los Santos G, S I</au><au>Munoz-Lopez, J</au><au>Torres-Rodriguez, M A</au><au>Xique, R Suarez</au><au>Martinez-Niconoff, G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Diffraction by three-dimensional slit-shape curves: decomposition in terms of Airy and Pearcey functions</atitle><jtitle>Optics letters</jtitle><addtitle>Opt Lett</addtitle><date>2015-08-01</date><risdate>2015</risdate><volume>40</volume><issue>15</issue><spage>3496</spage><epage>3499</epage><pages>3496-3499</pages><issn>0146-9592</issn><eissn>1539-4794</eissn><abstract>We analyze the diffraction field generated by coherent illumination of a three-dimensional transmittance characterized by a slit-shape curve. 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| ispartof | Optics letters, 2015-08, Vol.40 (15), p.3496-3499 |
| issn | 0146-9592 1539-4794 |
| language | eng |
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| source | Optica Publishing Group Journals |
| subjects | Airy function Coherence Decomposition Diffraction Illumination Mathematical analysis Torsion Transmittance |
| title | Diffraction by three-dimensional slit-shape curves: decomposition in terms of Airy and Pearcey functions |
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