Helmholtz decomposition of surface electric current in electromagnetic scattering problems
In view of the Helmholtz theorem of vector calculus, the surface electric current induced on a conducting body is decomposed into lamellar and solenoidal parts. The solenoidal component is derivable from the normally directed surface curl of the current, and the lamellar component is derivable from...
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| description | In view of the Helmholtz theorem of vector calculus, the surface electric current induced on a conducting body is decomposed into lamellar and solenoidal parts. The solenoidal component is derivable from the normally directed surface curl of the current, and the lamellar component is derivable from the surface divergence (or surface charge) of the current. This representation is an alternative to specifying directly the two scalar components of the surface current. The physical interpretation of the surface curl of the surface current is examined. Examples of scatterers with induced surface currents that are purely lamellar, purely solenoidal, or a combination of both components are cited. A physical feel for the nature of the surface current induced on scatterers is developed, and computational simplifications offered by the Helmholtz decomposition are examined.< > |
| doi_str_mv | 10.1109/SSST.1991.138595 |
| format | Conference Proceeding |
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The solenoidal component is derivable from the normally directed surface curl of the current, and the lamellar component is derivable from the surface divergence (or surface charge) of the current. This representation is an alternative to specifying directly the two scalar components of the surface current. The physical interpretation of the surface curl of the surface current is examined. Examples of scatterers with induced surface currents that are purely lamellar, purely solenoidal, or a combination of both components are cited. A physical feel for the nature of the surface current induced on scatterers is developed, and computational simplifications offered by the Helmholtz decomposition are examined.< ></description><identifier>ISSN: 0094-2898</identifier><identifier>ISBN: 9780818621901</identifier><identifier>ISBN: 0818621907</identifier><identifier>EISSN: 2161-8135</identifier><identifier>DOI: 10.1109/SSST.1991.138595</identifier><language>eng</language><publisher>IEEE Comput. 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Press</publisher><subject>Boundary value problems ; Calculus ; Conductors ; Current ; Electromagnetic scattering ; Integrodifferential equations ; Magnetic fields ; Maxwell equations ; Physics computing ; Surface treatment</subject><ispartof>[1991 Proceedings] The Twenty-Third Southeastern Symposium on System Theory, 1991, p.424-426</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/138595$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,4036,4037,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/138595$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Scharstein, R.W.</creatorcontrib><title>Helmholtz decomposition of surface electric current in electromagnetic scattering problems</title><title>[1991 Proceedings] The Twenty-Third Southeastern Symposium on System Theory</title><addtitle>SSST</addtitle><description>In view of the Helmholtz theorem of vector calculus, the surface electric current induced on a conducting body is decomposed into lamellar and solenoidal parts. The solenoidal component is derivable from the normally directed surface curl of the current, and the lamellar component is derivable from the surface divergence (or surface charge) of the current. This representation is an alternative to specifying directly the two scalar components of the surface current. The physical interpretation of the surface curl of the surface current is examined. Examples of scatterers with induced surface currents that are purely lamellar, purely solenoidal, or a combination of both components are cited. A physical feel for the nature of the surface current induced on scatterers is developed, and computational simplifications offered by the Helmholtz decomposition are examined.< ></description><subject>Boundary value problems</subject><subject>Calculus</subject><subject>Conductors</subject><subject>Current</subject><subject>Electromagnetic scattering</subject><subject>Integrodifferential equations</subject><subject>Magnetic fields</subject><subject>Maxwell equations</subject><subject>Physics computing</subject><subject>Surface treatment</subject><issn>0094-2898</issn><issn>2161-8135</issn><isbn>9780818621901</isbn><isbn>0818621907</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1991</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkD1rwzAYhEU_oGmavXTSH7ArWZYljSW0TSHQwZ66BEl-larYlpGUof31NSTTwd1xPBxCj5SUlBL13LZtV1KlaEmZ5IpfoVVFG1pIyvg12ighiaSyqagi9AatCFF1UUkl79B9Sj-EkKap-Ap97WAYv8OQ_3APNoxzSD77MOHgcDpFpy1gGMDm6C22pxhhythPFy-M-jhBXqJkdc4Q_XTEcwxmgDE9oFunhwSbi65R9_babXfF_vP9Y_uyL7xUuRANqxdwbphQxvTANPBGcGGNqg0RlQUA6fqFVlhhakYMGGc1q5012gCwNXo6z_qleZijH3X8PZxPYf_t_Vdf</recordid><startdate>1991</startdate><enddate>1991</enddate><creator>Scharstein, R.W.</creator><general>IEEE Comput. Soc. Press</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1991</creationdate><title>Helmholtz decomposition of surface electric current in electromagnetic scattering problems</title><author>Scharstein, R.W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i89t-76342165b379bbde3ae56757cb94b072ceee8fd6627c7b430bebfca34fcbabee3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Boundary value problems</topic><topic>Calculus</topic><topic>Conductors</topic><topic>Current</topic><topic>Electromagnetic scattering</topic><topic>Integrodifferential equations</topic><topic>Magnetic fields</topic><topic>Maxwell equations</topic><topic>Physics computing</topic><topic>Surface treatment</topic><toplevel>online_resources</toplevel><creatorcontrib>Scharstein, R.W.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Scharstein, R.W.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Helmholtz decomposition of surface electric current in electromagnetic scattering problems</atitle><btitle>[1991 Proceedings] The Twenty-Third Southeastern Symposium on System Theory</btitle><stitle>SSST</stitle><date>1991</date><risdate>1991</risdate><spage>424</spage><epage>426</epage><pages>424-426</pages><issn>0094-2898</issn><eissn>2161-8135</eissn><isbn>9780818621901</isbn><isbn>0818621907</isbn><abstract>In view of the Helmholtz theorem of vector calculus, the surface electric current induced on a conducting body is decomposed into lamellar and solenoidal parts. The solenoidal component is derivable from the normally directed surface curl of the current, and the lamellar component is derivable from the surface divergence (or surface charge) of the current. This representation is an alternative to specifying directly the two scalar components of the surface current. The physical interpretation of the surface curl of the surface current is examined. Examples of scatterers with induced surface currents that are purely lamellar, purely solenoidal, or a combination of both components are cited. A physical feel for the nature of the surface current induced on scatterers is developed, and computational simplifications offered by the Helmholtz decomposition are examined.< ></abstract><pub>IEEE Comput. Soc. Press</pub><doi>10.1109/SSST.1991.138595</doi><tpages>3</tpages></addata></record> |
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| ispartof | [1991 Proceedings] The Twenty-Third Southeastern Symposium on System Theory, 1991, p.424-426 |
| issn | 0094-2898 2161-8135 |
| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Boundary value problems Calculus Conductors Current Electromagnetic scattering Integrodifferential equations Magnetic fields Maxwell equations Physics computing Surface treatment |
| title | Helmholtz decomposition of surface electric current in electromagnetic scattering problems |
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