<?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-00836118</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="2026-05-03T08:10:37+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Optical properties of deposit models for paints: full-fields FFT computations and representative volume element</title>
            <author role="aut">
              <persName>
                <forename type="first">Dario F.</forename>
                <surname>Azzimonti</surname>
              </persName>
              <email type="md5">e175e1a2421f6e140f59b73406ac9a30</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">azzimonti-dario</idno>
              <idno type="idhal" notation="numeric">15309</idno>
              <idno type="halauthorid" notation="string">745153-15309</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-5080-3061</idno>
              <idno type="IDREF">https://www.idref.fr/253127416</idno>
              <affiliation ref="#struct-206"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">François</forename>
                <surname>Willot</surname>
              </persName>
              <email type="md5">0c542008f808bc2f46016cea65dcb061</email>
              <email type="domain">mines-paristech.fr</email>
              <ptr type="url" target="https://people.cmm.minesparis.psl.eu/users/willot/"/>
              <idno type="idhal" notation="string">francois-willot</idno>
              <idno type="idhal" notation="numeric">7171</idno>
              <idno type="halauthorid" notation="string">24317-7171</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-1544-6550</idno>
              <idno type="IDREF">https://www.idref.fr/131231855</idno>
              <idno type="GOOGLE SCHOLAR">Gjv6430AAAAJ</idno>
              <idno type="ARXIV">https://arxiv.org/a/willot_f_1</idno>
              <affiliation ref="#struct-206"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Dominique</forename>
                <surname>Jeulin</surname>
              </persName>
              <email type="md5">11da631f563ed30abd0b893e38793a49</email>
              <email type="domain">mines-paristech.fr</email>
              <idno type="idhal" notation="string">dominique-jeulin</idno>
              <idno type="idhal" notation="numeric">11571</idno>
              <idno type="halauthorid" notation="string">28666-11571</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-6423-6926</idno>
              <idno type="IDREF">https://www.idref.fr/060975555</idno>
              <affiliation ref="#struct-206"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>François</forename>
                <surname>Willot</surname>
              </persName>
              <email type="md5">cac530a0dbfc51c0e4c5511e39ac6c55</email>
              <email type="domain">minesparis.psl.eu</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2014-12-19 14:47:03</date>
              <date type="whenWritten">2013-06-04</date>
              <date type="whenModified">2026-02-07 05:11:16</date>
              <date type="whenReleased">2015-01-06 11:16:46</date>
              <date type="whenProduced">2013-06-20</date>
              <date type="whenEndEmbargoed">2014-12-19</date>
              <ref type="file" target="https://minesparis-psl.hal.science/hal-00836118v1/document">
                <date notBefore="2014-12-19"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://minesparis-psl.hal.science/hal-00836118v1/file/Willot_JoMO_20130327.pdf" id="file-1096781-1178128">
                <date notBefore="2014-12-19"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="116933">
                <persName>
                  <forename>François</forename>
                  <surname>Willot</surname>
                </persName>
                <email type="md5">cac530a0dbfc51c0e4c5511e39ac6c55</email>
                <email type="domain">minesparis.psl.eu</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00836118</idno>
            <idno type="halUri">https://minesparis-psl.hal.science/hal-00836118</idno>
            <idno type="halBibtex">azzimonti:hal-00836118</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Modern Optics&lt;/i&gt;, 2013, 60 (7), pp.519-528. &lt;a target="_blank" href="https://dx.doi.org/10.1080/09500340.2013.793778"&gt;&amp;#x27E8;10.1080/09500340.2013.793778&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Modern Optics, 2013, 60 (7), pp.519-528. &amp;#x27E8;10.1080/09500340.2013.793778&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1096781-1178128"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENSMP" corresp="PARISTECH">MINES ParisTech</idno>
            <idno type="stamp" n="ENSMP_CMM" corresp="ENSMP">Morphologie mathématique (CMM)</idno>
            <idno type="stamp" n="PARISTECH">ParisTech</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="ENSMP_DEP_MS">Département Mathématiques et systèmes</idno>
            <idno type="stamp" n="ENSMP_DR" corresp="ENSMP">ENSMP_DR</idno>
            <idno type="stamp" n="ENSMP-PSL" corresp="PSL">MINES ParisTech - École nationale supérieure des mines de Paris - PSL</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">Optical properties of deposit models for paints: full-fields FFT computations and representative volume element</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Dario F.</forename>
                    <surname>Azzimonti</surname>
                  </persName>
                  <email type="md5">e175e1a2421f6e140f59b73406ac9a30</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">azzimonti-dario</idno>
                  <idno type="idhal" notation="numeric">15309</idno>
                  <idno type="halauthorid" notation="string">745153-15309</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-5080-3061</idno>
                  <idno type="IDREF">https://www.idref.fr/253127416</idno>
                  <affiliation ref="#struct-206"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">François</forename>
                    <surname>Willot</surname>
                  </persName>
                  <email type="md5">0c542008f808bc2f46016cea65dcb061</email>
                  <email type="domain">mines-paristech.fr</email>
                  <ptr type="url" target="https://people.cmm.minesparis.psl.eu/users/willot/"/>
                  <idno type="idhal" notation="string">francois-willot</idno>
                  <idno type="idhal" notation="numeric">7171</idno>
                  <idno type="halauthorid" notation="string">24317-7171</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-1544-6550</idno>
                  <idno type="IDREF">https://www.idref.fr/131231855</idno>
                  <idno type="GOOGLE SCHOLAR">Gjv6430AAAAJ</idno>
                  <idno type="ARXIV">https://arxiv.org/a/willot_f_1</idno>
                  <affiliation ref="#struct-206"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Dominique</forename>
                    <surname>Jeulin</surname>
                  </persName>
                  <email type="md5">11da631f563ed30abd0b893e38793a49</email>
                  <email type="domain">mines-paristech.fr</email>
                  <idno type="idhal" notation="string">dominique-jeulin</idno>
                  <idno type="idhal" notation="numeric">11571</idno>
                  <idno type="halauthorid" notation="string">28666-11571</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-6423-6926</idno>
                  <idno type="IDREF">https://www.idref.fr/060975555</idno>
                  <affiliation ref="#struct-206"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">15811</idno>
                <idno type="issn">0950-0340</idno>
                <idno type="eissn">1362-3044</idno>
                <title level="j">Journal of Modern Optics</title>
                <imprint>
                  <publisher>Taylor &amp; Francis</publisher>
                  <biblScope unit="volume">60</biblScope>
                  <biblScope unit="issue">7</biblScope>
                  <biblScope unit="pp">519-528</biblScope>
                  <date type="datePub">2013-06-20</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1080/09500340.2013.793778</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">FFT method</term>
                <term xml:lang="en">Random media</term>
                <term xml:lang="en">Deposit models</term>
                <term xml:lang="en">Representative volume element</term>
                <term xml:lang="en">Optical properties</term>
                <term xml:lang="en">Homogenization</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.phys.phys-optics">Physics [physics]/Physics [physics]/Optics [physics.optics]</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>A 3D model of microstructure containing spherical and rhombi-shaped inclusions "falling" along a deposit direction is used to simulate the distribution of nanoscale color pigments in paints. The microstructures anisotropy and length scales, characterized by their covariance functions and representative volume element, follow that of transerseley isotropic or orthotropic media. Full-field computations by means of the fast Fourier method are undertaken to compute the local and effective permittivity function of the mixture, as a function of the wavelength in the visible spectrum. Transverse isotropy is numerically recovered for the effective permittivity of the deposit model of spheres. Furthermore, in the complex plane, the transverse and parallel components of the effective permittivity tensor are very close to the frontiers of the Hashin-Shtrikman's domain, at all frequencies (or color) of the incident wave. The representative volume element for the optical properties of paint deposit models are studied. At fixed accuracy, it is much larger for the imaginary part of the permittivity than for the real part, an effect of the strong variations of the electric displacement field, exhibiting hot-spots, a feature previously described in the context of conductivity.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-206" status="VALID">
          <idno type="IdRef">15213493X</idno>
          <idno type="ROR">https://ror.org/0579t4s85</idno>
          <orgName>Centre de Morphologie Mathématique</orgName>
          <orgName type="acronym">CMM</orgName>
          <date type="end">2025-12-31</date>
          <desc>
            <address>
              <addrLine>35 rue Saint-Honoré 77305 Fontainebleau cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://cmm.mines-paristech.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301492" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-301492" status="VALID">
          <idno type="IdRef">026375249</idno>
          <idno type="ROR">https://ror.org/04y8cs423</idno>
          <orgName>Mines Paris - PSL (École nationale supérieure des mines de Paris)</orgName>
          <date type="start">1783-01-01</date>
          <desc>
            <address>
              <addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.minesparis.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-564132" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-564132" status="VALID">
          <idno type="IdRef">241597595</idno>
          <idno type="ISNI">0000 0004 1784 3645</idno>
          <idno type="ROR">https://ror.org/013cjyk83</idno>
          <orgName>Université Paris Sciences et Lettres</orgName>
          <orgName type="acronym">PSL</orgName>
          <desc>
            <address>
              <addrLine>60 rue Mazarine 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.psl.eu/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>