<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00652109</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-19T20:38:13+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Electromagnetic low-frequency dipolar excitation of two metal spheres in a conductive medium</title>
            <author role="aut">
              <persName>
                <forename type="first">Panayiotis</forename>
                <surname>Vafeas</surname>
              </persName>
              <email type="md5">7349d3af12fe6f647690830f559b94ab</email>
              <email type="domain">des.upatras.gr</email>
              <idno type="idhal" notation="numeric">862130</idno>
              <idno type="halauthorid" notation="string">407160-862130</idno>
              <affiliation ref="#struct-97760"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Polykarpos</forename>
                <surname>Papadopoulos</surname>
              </persName>
              <email type="md5">a8ad28b4c9eee3932d83f06087b72263</email>
              <email type="domain">des.upatras.gr</email>
              <idno type="idhal" notation="numeric">913064</idno>
              <idno type="halauthorid" notation="string">593849-913064</idno>
              <affiliation ref="#struct-97760"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Dominique</forename>
                <surname>Lesselier</surname>
              </persName>
              <email type="md5">4f955c386214aabb61bb23499583097c</email>
              <email type="domain">l2s.centralesupelec.fr</email>
              <idno type="idhal" notation="string">dominique-lesselier</idno>
              <idno type="idhal" notation="numeric">2106</idno>
              <idno type="halauthorid" notation="string">2459-2106</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8378-2938</idno>
              <idno type="IDREF">https://www.idref.fr/072285672</idno>
              <affiliation ref="#struct-396671"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Dominique</forename>
                <surname>Lesselier</surname>
              </persName>
              <email type="md5">4f955c386214aabb61bb23499583097c</email>
              <email type="domain">l2s.centralesupelec.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2011-12-14 22:10:06</date>
              <date type="whenModified">2024-03-18 03:05:24</date>
              <date type="whenReleased">2011-12-15 10:52:02</date>
              <date type="whenProduced">2012</date>
              <ref type="externalLink" target="https://downloads.hindawi.com/journals/jam/2012/628261.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="142538">
                <persName>
                  <forename>Dominique</forename>
                  <surname>Lesselier</surname>
                </persName>
                <email type="md5">4f955c386214aabb61bb23499583097c</email>
                <email type="domain">l2s.centralesupelec.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00652109</idno>
            <idno type="halUri">https://centralesupelec.hal.science/hal-00652109</idno>
            <idno type="halBibtex">vafeas:hal-00652109</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Applied Mathematics&lt;/i&gt;, 2012, 2012, 628261 (37pp). &lt;a target="_blank" href="https://dx.doi.org/10.1155/2012/628261"&gt;&amp;#x27E8;10.1155/2012/628261&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Applied Mathematics, 2012, 2012, 628261 (37pp). &amp;#x27E8;10.1155/2012/628261&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="SUPELEC">SUPELEC</idno>
            <idno type="stamp" n="EC-PARIS">Ecole Centrale Paris</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-PSUD">Université Paris Sud - Paris XI</idno>
            <idno type="stamp" n="SUP_LSS">Laboratoire des Signaux et Systèmes</idno>
            <idno type="stamp" n="SUP_EMG" corresp="SUPELEC">EMG - Département Electromagnétisme</idno>
            <idno type="stamp" n="SUP_DRE" corresp="SUPELEC">DRE - Département de Recherche en Electromagnétisme</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIV-PSUD-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris Sud pour Paris Saclay</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Electromagnetic low-frequency dipolar excitation of two metal spheres in a conductive medium</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Panayiotis</forename>
                    <surname>Vafeas</surname>
                  </persName>
                  <email type="md5">7349d3af12fe6f647690830f559b94ab</email>
                  <email type="domain">des.upatras.gr</email>
                  <idno type="idhal" notation="numeric">862130</idno>
                  <idno type="halauthorid" notation="string">407160-862130</idno>
                  <affiliation ref="#struct-97760"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Polykarpos</forename>
                    <surname>Papadopoulos</surname>
                  </persName>
                  <email type="md5">a8ad28b4c9eee3932d83f06087b72263</email>
                  <email type="domain">des.upatras.gr</email>
                  <idno type="idhal" notation="numeric">913064</idno>
                  <idno type="halauthorid" notation="string">593849-913064</idno>
                  <affiliation ref="#struct-97760"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Dominique</forename>
                    <surname>Lesselier</surname>
                  </persName>
                  <email type="md5">4f955c386214aabb61bb23499583097c</email>
                  <email type="domain">l2s.centralesupelec.fr</email>
                  <idno type="idhal" notation="string">dominique-lesselier</idno>
                  <idno type="idhal" notation="numeric">2106</idno>
                  <idno type="halauthorid" notation="string">2459-2106</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8378-2938</idno>
                  <idno type="IDREF">https://www.idref.fr/072285672</idno>
                  <affiliation ref="#struct-396671"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">1343</idno>
                <idno type="issn">1110-757X</idno>
                <idno type="eissn">1687-0042</idno>
                <title level="j">Journal of Applied Mathematics</title>
                <imprint>
                  <publisher>Hindawi Publishing Corporation</publisher>
                  <biblScope unit="volume">2012</biblScope>
                  <biblScope unit="pp">628261 (37pp)</biblScope>
                  <date type="datePub">2012</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1155/2012/628261</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="classification">MSC 35P25; 78A25; 35J25; 83C50; 35C10</classCode>
              <classCode scheme="halDomain" n="spi.elec">Engineering Sciences [physics]/Electromagnetism</classCode>
              <classCode scheme="halDomain" n="phys.mphy">Physics [physics]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halDomain" n="math.math-mp">Mathematics [math]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This work concerns the low-frequency interaction of a time-harmonic magnetic dipole, arbitrarily orientated in the three-dimensional space, with two perfectly conducting spheres embedded within a homogeneous conductive medium. In several applications, where two bodies are placed near one another, the 3-D bispherical geometry provides a good approximation. The particular physical problem is modeled by considering two solid impenetrable (metallic) obstacles, excited by a magnetic dipole, where the scattering boundary value problem is attacked via rigorous low-frequency expansions in terms of integral powers (ik) to the power n, where n ≥ 0 , k being the complex wave number of the exterior medium, for the incident, scattered and total electric and magnetic fields. We deal with the most important terms of the low-frequency expansions of the non-axisymmetric scattered electromagnetic fields, that is the static (for n=0) and the dynamic (n=1,2,3) terms, while for n≥4 the contribution of the additional terms is of minor significance. The calculation of the exact solutions, satisfying Laplace's and Poisson's differential equations, leads to infinite linear systems, solved approximately within any order of accuracy through a cut-off procedure and via numerical implementation. Thus, we obtain the electromagnetic fields in an analytically compact fashion as infinite series expansions of bispherical eigenfunctions. This particular electromagnetic scattering problem is then simulated in order to investigate the effect of the radii ratio, the relative position of the spheres and the position of the dipole on the real and imaginary parts of the calculated scattered magnetic field.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-97760" status="INCOMING">
          <orgName>Division of Applied Mathematics and Mechanics - Department of Engineering Sciences, School of Engineering</orgName>
          <desc>
            <address>
              <addrLine>Patras 265 04</addrLine>
              <country key="GR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-77278" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-396671" status="OLD">
          <orgName>DRE - Département de Recherche en Electromagnétisme ; EMG - Département Electromagnétisme - L2S</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation name="1289" active="#struct-1289" type="direct"/>
            <relation active="#struct-92966" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation name="UMR8506" active="#struct-441569" type="indirect"/>
            <relation active="#struct-21400" type="direct"/>
            <relation name="300812" active="#struct-303397" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-77278" status="VALID">
          <orgName>University of Patras</orgName>
          <desc>
            <address>
              <addrLine>265 04 Rio Achaia, Patras</addrLine>
              <country key="GR"/>
            </address>
            <ref type="url">http://www.upatras.gr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-1289" status="OLD">
          <idno type="IdRef">133818799</idno>
          <idno type="RNSR">199812842X</idno>
          <orgName>Laboratoire des signaux et systèmes</orgName>
          <orgName type="acronym">L2S</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.l2s.centralesupelec.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92966" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation name="UMR8506" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-92966" status="OLD">
          <idno type="ROR">https://ror.org/028rypz17</idno>
          <orgName>Université Paris-Sud - Paris 11</orgName>
          <orgName type="acronym">UP11</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment 300 - 91405 Orsay cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-psud.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-21400" status="OLD">
          <orgName>SUPELEC-Campus Gif</orgName>
          <desc>
            <address>
              <addrLine>Plateau du Moulon - 3 rue Joliot-Curie - 91192 Gif-sur-Yvette CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.supelec.fr/gif/</ref>
          </desc>
          <listRelation>
            <relation name="300812" active="#struct-303397" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-303397" status="VALID">
          <orgName>Ecole Supérieure d'Electricité - SUPELEC (FRANCE)</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>