LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS

The problem of scattering of a scalar plane wave by a spheroid of revolution is solved for either Dirichlet or Neumann boundary conditions, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained using an iterative method applied to solutions of the correspond...

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Hauptverfasser:	Asvestas, J S, Kleinman, R E
Format:	Report
Sprache:	eng
Schlagworte:	BODIES OF REVOLUTION BOUNDARY VALUE PROBLEMS DISKS ELECTROMAGNETIC RADIATION GEOMETRY ITERATIONS LOW FREQUENCY Radiofrequency Wave Propagation SCATTERING SPECIAL FUNCTIONS(MATHEMATICS)
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creator	Asvestas, J S Kleinman, R E
description	The problem of scattering of a scalar plane wave by a spheroid of revolution is solved for either Dirichlet or Neumann boundary conditions, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained using an iterative method applied to solutions of the corresponding potential problem and is expressed as a series of products of Legendre and trigonometric functions, and ascending powers of wave number. A recursion relation for the coefficients in this series is derived. These results are employed to calculate scattering cross sections for 2:1, 5:1 and 10:1 prolate spheroids.
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The solution is obtained using an iterative method applied to solutions of the corresponding potential problem and is expressed as a series of products of Legendre and trigonometric functions, and ascending powers of wave number. A recursion relation for the coefficients in this series is derived. These results are employed to calculate scattering cross sections for 2:1, 5:1 and 10:1 prolate spheroids.</description><language>eng</language><subject>BODIES OF REVOLUTION ; BOUNDARY VALUE PROBLEMS ; DISKS ; ELECTROMAGNETIC RADIATION ; GEOMETRY ; ITERATIONS ; LOW FREQUENCY ; Radiofrequency Wave Propagation ; SCATTERING ; SPECIAL FUNCTIONS(MATHEMATICS)</subject><creationdate>1967</creationdate><rights>Approved for public release; distribution is unlimited.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,780,885,27567,27568</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/AD0655782$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Asvestas, J S</creatorcontrib><creatorcontrib>Kleinman, R E</creatorcontrib><creatorcontrib>MICHIGAN UNIV ANN ARBOR RADIATION LAB</creatorcontrib><title>LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS</title><description>The problem of scattering of a scalar plane wave by a spheroid of revolution is solved for either Dirichlet or Neumann boundary conditions, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained using an iterative method applied to solutions of the corresponding potential problem and is expressed as a series of products of Legendre and trigonometric functions, and ascending powers of wave number. A recursion relation for the coefficients in this series is derived. These results are employed to calculate scattering cross sections for 2:1, 5:1 and 10:1 prolate spheroids.</description><subject>BODIES OF REVOLUTION</subject><subject>BOUNDARY VALUE PROBLEMS</subject><subject>DISKS</subject><subject>ELECTROMAGNETIC RADIATION</subject><subject>GEOMETRY</subject><subject>ITERATIONS</subject><subject>LOW FREQUENCY</subject><subject>Radiofrequency Wave Propagation</subject><subject>SCATTERING</subject><subject>SPECIAL FUNCTIONS(MATHEMATICS)</subject><fulltext>true</fulltext><rsrctype>report</rsrctype><creationdate>1967</creationdate><recordtype>report</recordtype><sourceid>1RU</sourceid><recordid>eNrjZND38Q9XcAtyDQx19XOOVAh2dgwJcQ3y9HNXcALyAjxcg_w9XYIVHP1cFFw8g52DeRhY0xJzilN5oTQ3g4yba4izh25KSWZyfHFJZl5qSbyji4GZqam5hZExAWkAlRMjHw</recordid><startdate>196706</startdate><enddate>196706</enddate><creator>Asvestas, J S</creator><creator>Kleinman, R E</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>196706</creationdate><title>LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS</title><author>Asvestas, J S ; Kleinman, R E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_AD06557823</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1967</creationdate><topic>BODIES OF REVOLUTION</topic><topic>BOUNDARY VALUE PROBLEMS</topic><topic>DISKS</topic><topic>ELECTROMAGNETIC RADIATION</topic><topic>GEOMETRY</topic><topic>ITERATIONS</topic><topic>LOW FREQUENCY</topic><topic>Radiofrequency Wave Propagation</topic><topic>SCATTERING</topic><topic>SPECIAL FUNCTIONS(MATHEMATICS)</topic><toplevel>online_resources</toplevel><creatorcontrib>Asvestas, J S</creatorcontrib><creatorcontrib>Kleinman, R E</creatorcontrib><creatorcontrib>MICHIGAN UNIV ANN ARBOR RADIATION LAB</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Asvestas, J S</au><au>Kleinman, R E</au><aucorp>MICHIGAN UNIV ANN ARBOR RADIATION LAB</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS</btitle><date>1967-06</date><risdate>1967</risdate><abstract>The problem of scattering of a scalar plane wave by a spheroid of revolution is solved for either Dirichlet or Neumann boundary conditions, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained using an iterative method applied to solutions of the corresponding potential problem and is expressed as a series of products of Legendre and trigonometric functions, and ascending powers of wave number. A recursion relation for the coefficients in this series is derived. These results are employed to calculate scattering cross sections for 2:1, 5:1 and 10:1 prolate spheroids.</abstract><oa>free_for_read</oa></addata></record>
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subjects	BODIES OF REVOLUTION BOUNDARY VALUE PROBLEMS DISKS ELECTROMAGNETIC RADIATION GEOMETRY ITERATIONS LOW FREQUENCY Radiofrequency Wave Propagation SCATTERING SPECIAL FUNCTIONS(MATHEMATICS)
title	LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS
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