Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave
By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scatteri...
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| Veröffentlicht in: | IEICE Transactions on Electronics 2009/03/01, Vol.E92.C(3), pp.370-373 |
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| container_end_page | 373 |
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| container_title | IEICE Transactions on Electronics |
| container_volume | E92.C |
| creator | NAKAYAMA, Junichi TAMURA, Yasuhiko TSUTSUMI, Kiyoshi |
| description | By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number. |
| doi_str_mv | 10.1587/transele.E92.C.370 |
| format | Article |
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A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number.</description><identifier>ISSN: 0916-8524</identifier><identifier>ISSN: 1745-1353</identifier><identifier>EISSN: 1745-1353</identifier><identifier>DOI: 10.1587/transele.E92.C.370</identifier><language>eng</language><publisher>Oxford: The Institute of Electronics, Information and Communication Engineers</publisher><subject>Amplitudes ; Diffraction ; Diffraction efficiency ; diffraction grating ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Gratings ; Incident waves ; Mathematical analysis ; Mathematical models ; Optical elements, devices, and systems ; Optics ; Physics ; Scattering ; scattering factor ; shadow theory ; Shadows</subject><ispartof>IEICE Transactions on Electronics, 2009/03/01, Vol.E92.C(3), pp.370-373</ispartof><rights>2009 The Institute of Electronics, Information and Communication Engineers</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c587t-ee656e6413ab6d5ee84c4373e0081b5676f916e714fef32225389163504b4a503</citedby><cites>FETCH-LOGICAL-c587t-ee656e6413ab6d5ee84c4373e0081b5676f916e714fef32225389163504b4a503</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1877,4010,27900,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22606389$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>NAKAYAMA, Junichi</creatorcontrib><creatorcontrib>TAMURA, Yasuhiko</creatorcontrib><creatorcontrib>TSUTSUMI, Kiyoshi</creatorcontrib><title>Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave</title><title>IEICE Transactions on Electronics</title><addtitle>IEICE Trans. Electron.</addtitle><description>By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number.</description><subject>Amplitudes</subject><subject>Diffraction</subject><subject>Diffraction efficiency</subject><subject>diffraction grating</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Gratings</subject><subject>Incident waves</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Optical elements, devices, and systems</subject><subject>Optics</subject><subject>Physics</subject><subject>Scattering</subject><subject>scattering factor</subject><subject>shadow theory</subject><subject>Shadows</subject><issn>0916-8524</issn><issn>1745-1353</issn><issn>1745-1353</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNpdkL1OwzAURi0EEqXwAkxeEFOC_5OyVSEUUAUDRYyW6163qdKk2CnQt8eopQPTlaxzP3_3IHRJSUplnt103jQBakjLAUuLlGfkCPVoJmRCueTHqEcGVCW5ZOIUnYWwJITmjPIeKl8XZtZ-4ckCWr_FrcN3lXPe2K5qGzzypqua-S0e4ufNCnxlTY3Lb7Na14Bd6_GkxO_mE87RiTN1gIv97KO3-3JSPCTjl9FjMRwnNpbsEgAlFShBuZmqmQTIhRU840BITqdSZcrFmpBR4cBxxpjkeXzgkoipMJLwPrre5a59-7GB0OlVFSzUtWmg3QSdi4HICKU8kmxHWt-G4MHpta9Wxm81JfpXmf5TpqMyXeioLC5d7eNNiJdGDY2twmGTMUVUbBS5px23DJ2ZwwEwvqtsTPwffZjxkwNkF8ZraPgPzkiHZA</recordid><startdate>2009</startdate><enddate>2009</enddate><creator>NAKAYAMA, Junichi</creator><creator>TAMURA, Yasuhiko</creator><creator>TSUTSUMI, Kiyoshi</creator><general>The Institute of Electronics, Information and Communication Engineers</general><general>Oxford University Press</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>2009</creationdate><title>Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave</title><author>NAKAYAMA, Junichi ; TAMURA, Yasuhiko ; TSUTSUMI, Kiyoshi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c587t-ee656e6413ab6d5ee84c4373e0081b5676f916e714fef32225389163504b4a503</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Amplitudes</topic><topic>Diffraction</topic><topic>Diffraction efficiency</topic><topic>diffraction grating</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Gratings</topic><topic>Incident waves</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Optical elements, devices, and systems</topic><topic>Optics</topic><topic>Physics</topic><topic>Scattering</topic><topic>scattering factor</topic><topic>shadow theory</topic><topic>Shadows</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>NAKAYAMA, Junichi</creatorcontrib><creatorcontrib>TAMURA, Yasuhiko</creatorcontrib><creatorcontrib>TSUTSUMI, Kiyoshi</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEICE Transactions on Electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>NAKAYAMA, Junichi</au><au>TAMURA, Yasuhiko</au><au>TSUTSUMI, Kiyoshi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave</atitle><jtitle>IEICE Transactions on Electronics</jtitle><addtitle>IEICE Trans. Electron.</addtitle><date>2009</date><risdate>2009</risdate><volume>E92.C</volume><issue>3</issue><spage>370</spage><epage>373</epage><pages>370-373</pages><issn>0916-8524</issn><issn>1745-1353</issn><eissn>1745-1353</eissn><abstract>By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. 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| ispartof | IEICE Transactions on Electronics, 2009/03/01, Vol.E92.C(3), pp.370-373 |
| issn | 0916-8524 1745-1353 1745-1353 |
| language | eng |
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| source | J-STAGE (Japan Science & Technology Information Aggregator, Electronic) Freely Available Titles - Japanese |
| subjects | Amplitudes Diffraction Diffraction efficiency diffraction grating Exact sciences and technology Fundamental areas of phenomenology (including applications) Gratings Incident waves Mathematical analysis Mathematical models Optical elements, devices, and systems Optics Physics Scattering scattering factor shadow theory Shadows |
| title | Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave |
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