Eddy currents in an infinite slab due to an elliptic current excitation
The magnetic flux density and the eddy-current density induced in a conducting plate of finite thickness by an elliptic filamentary current loop parallel to the slab are calculated. The system of coordinates used is the Cartesian one, and as a result, the method can be applied to any filamentary exc...
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| Veröffentlicht in: | IEEE transactions on magnetics 1991-09, Vol.27 (5), p.4328-4337 |
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| container_end_page | 4337 |
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| container_issue | 5 |
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| container_title | IEEE transactions on magnetics |
| container_volume | 27 |
| creator | Panas, S.M. Papayiannakis, A.G. |
| description | The magnetic flux density and the eddy-current density induced in a conducting plate of finite thickness by an elliptic filamentary current loop parallel to the slab are calculated. The system of coordinates used is the Cartesian one, and as a result, the method can be applied to any filamentary excitation parallel to the slab interface once the excitation is expressed in the Cartesian system of coordinates. The solution of the partial differential equations describing the problem is achieved by 2-D spatial Fourier transformation, and the final inverse transformation is performed by applying the 2-D fast inverse Fourier transform. The displacement current is not neglected, and therefore the method can be applied to low and high excitation frequencies. The method can be easily extended to cover the case of multiple layers, and it can be applied to problems ranging from power applications to eddy-current nondestructive testing.< > |
| doi_str_mv | 10.1109/20.105058 |
| format | Article |
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The system of coordinates used is the Cartesian one, and as a result, the method can be applied to any filamentary excitation parallel to the slab interface once the excitation is expressed in the Cartesian system of coordinates. The solution of the partial differential equations describing the problem is achieved by 2-D spatial Fourier transformation, and the final inverse transformation is performed by applying the 2-D fast inverse Fourier transform. The displacement current is not neglected, and therefore the method can be applied to low and high excitation frequencies. The method can be easily extended to cover the case of multiple layers, and it can be applied to problems ranging from power applications to eddy-current nondestructive testing.< ></description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/20.105058</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Coils ; Condensed matter: electronic structure, electrical, magnetic, and optical properties ; Eddy currents ; Exact sciences and technology ; Fourier transforms ; Frequency ; Helium ; Impedance ; Magnetic flux density ; Magnetic properties and materials ; Nondestructive testing ; Other topics in magnetic properties and materials ; Physics ; Slabs ; Steady-state</subject><ispartof>IEEE transactions on magnetics, 1991-09, Vol.27 (5), p.4328-4337</ispartof><rights>1992 INIST-CNRS</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c306t-d6765d0447116382d86c544d701ab606c3449e1fe0cf548f5ab77b5edf14cad43</citedby><cites>FETCH-LOGICAL-c306t-d6765d0447116382d86c544d701ab606c3449e1fe0cf548f5ab77b5edf14cad43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/105058$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,314,777,781,786,787,793,23911,23912,25121,27905,27906,54739</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/105058$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5221324$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Panas, S.M.</creatorcontrib><creatorcontrib>Papayiannakis, A.G.</creatorcontrib><title>Eddy currents in an infinite slab due to an elliptic current excitation</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>The magnetic flux density and the eddy-current density induced in a conducting plate of finite thickness by an elliptic filamentary current loop parallel to the slab are calculated. The system of coordinates used is the Cartesian one, and as a result, the method can be applied to any filamentary excitation parallel to the slab interface once the excitation is expressed in the Cartesian system of coordinates. The solution of the partial differential equations describing the problem is achieved by 2-D spatial Fourier transformation, and the final inverse transformation is performed by applying the 2-D fast inverse Fourier transform. The displacement current is not neglected, and therefore the method can be applied to low and high excitation frequencies. The method can be easily extended to cover the case of multiple layers, and it can be applied to problems ranging from power applications to eddy-current nondestructive testing.< ></description><subject>Coils</subject><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties</subject><subject>Eddy currents</subject><subject>Exact sciences and technology</subject><subject>Fourier transforms</subject><subject>Frequency</subject><subject>Helium</subject><subject>Impedance</subject><subject>Magnetic flux density</subject><subject>Magnetic properties and materials</subject><subject>Nondestructive testing</subject><subject>Other topics in magnetic properties and materials</subject><subject>Physics</subject><subject>Slabs</subject><subject>Steady-state</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNpNkE1LxDAQhoMouK4evHrKQQQP1Zk0SdujLOsqLHjRc0nzAZFuuyYpuP_edncVL_MywzMPwxByjfCACNUjGxMEiPKEzLDimAHI6pTMALDMKi75ObmI8XNsuUCYkdXSmB3VQwi2S5H6jqpurM53PlkaW9VQM1ia-mlu29Zvk9e_PLXf2ieVfN9dkjOn2mivjjknH8_L98VLtn5bvS6e1pnOQabMyEIKA5wXiDIvmSmlFpybAlA1EqTOOa8sOgvaCV46oZqiaIQ1DrlWhudzcnfwbkP_NdiY6o2PejxMdbYfYs1KJrAQE3h_AHXoYwzW1dvgNyrsaoR6elXNxty_amRvj1IVtWpdUJ328W9BMIY5m5Q3B8xba__p9o4fmLBvXw</recordid><startdate>19910901</startdate><enddate>19910901</enddate><creator>Panas, S.M.</creator><creator>Papayiannakis, A.G.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>19910901</creationdate><title>Eddy currents in an infinite slab due to an elliptic current excitation</title><author>Panas, S.M. ; Papayiannakis, A.G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c306t-d6765d0447116382d86c544d701ab606c3449e1fe0cf548f5ab77b5edf14cad43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Coils</topic><topic>Condensed matter: electronic structure, electrical, magnetic, and optical properties</topic><topic>Eddy currents</topic><topic>Exact sciences and technology</topic><topic>Fourier transforms</topic><topic>Frequency</topic><topic>Helium</topic><topic>Impedance</topic><topic>Magnetic flux density</topic><topic>Magnetic properties and materials</topic><topic>Nondestructive testing</topic><topic>Other topics in magnetic properties and materials</topic><topic>Physics</topic><topic>Slabs</topic><topic>Steady-state</topic><toplevel>online_resources</toplevel><creatorcontrib>Panas, S.M.</creatorcontrib><creatorcontrib>Papayiannakis, A.G.</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>IEEE transactions on magnetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Panas, S.M.</au><au>Papayiannakis, A.G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Eddy currents in an infinite slab due to an elliptic current excitation</atitle><jtitle>IEEE transactions on magnetics</jtitle><stitle>TMAG</stitle><date>1991-09-01</date><risdate>1991</risdate><volume>27</volume><issue>5</issue><spage>4328</spage><epage>4337</epage><pages>4328-4337</pages><issn>0018-9464</issn><eissn>1941-0069</eissn><coden>IEMGAQ</coden><abstract>The magnetic flux density and the eddy-current density induced in a conducting plate of finite thickness by an elliptic filamentary current loop parallel to the slab are calculated. The system of coordinates used is the Cartesian one, and as a result, the method can be applied to any filamentary excitation parallel to the slab interface once the excitation is expressed in the Cartesian system of coordinates. The solution of the partial differential equations describing the problem is achieved by 2-D spatial Fourier transformation, and the final inverse transformation is performed by applying the 2-D fast inverse Fourier transform. The displacement current is not neglected, and therefore the method can be applied to low and high excitation frequencies. The method can be easily extended to cover the case of multiple layers, and it can be applied to problems ranging from power applications to eddy-current nondestructive testing.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/20.105058</doi><tpages>10</tpages></addata></record> |
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| ispartof | IEEE transactions on magnetics, 1991-09, Vol.27 (5), p.4328-4337 |
| issn | 0018-9464 1941-0069 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_5221324 |
| source | IEEE Electronic Library (IEL) |
| subjects | Coils Condensed matter: electronic structure, electrical, magnetic, and optical properties Eddy currents Exact sciences and technology Fourier transforms Frequency Helium Impedance Magnetic flux density Magnetic properties and materials Nondestructive testing Other topics in magnetic properties and materials Physics Slabs Steady-state |
| title | Eddy currents in an infinite slab due to an elliptic current excitation |
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