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<h1 class="short">ONELAB Photonics</h1>

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  <img src="Diffraction-gratings_screenshot2.png" alt="">
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  <img src="grating3D_skew.png" alt="">
  <img src="grating3D_solar.png" alt="">
  <img src="NonLinearEVP.png" alt="">
  <img src="rhombus.png" alt="">
  <img src="scattering_splitring.png" alt="">
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<h1>Open Source Finite Element Software for Photonics Applications</h1>

<p>
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  ONELAB Photonics is a set of models combining the open source finite
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  element solver <a href="https://getdp.info">GetDP</a> with the open source pre-
  and post-processor <a href="https://gmsh.info">Gmsh</a> to solve photonics
  applications.
</p>
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</p>
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  These models can be used as-is for parametric studies or as template models since implementing
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  a new opto-geometric parameters using Gmsh and GetDP is rather simple.
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</p>
</p>
  For instance, it is possible to compute direct problems such as the diffraction of a
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  plane wave by a grating<a href="#1"><sup>1-3</sup></a> (in 2D and 3D) or the scattering of an arbitrary wave
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  by a scatterer (T-matrix<a href="#4"><sup>4</sup></a>, near and far field data...)
</p>
</p>
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  A collection of eigenvalue problems is also available, such as
  the Quasi-Normal Modes of open structures<a href="#5"><sup>5</sup></a>,
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  the the Bloch band diagram of photonics crystals,
  the leaky modes of a microstructured fiber<a href="#6"><sup>6</sup></a>, or
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  the modes resulting from non-linear eigenvalue problems arising when considering
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  frequency-dispersive permittivities<a href="#7"><sup>7-8</sup></a>.
</p>

<h2>Quick start</h2>
<ol>
  <li>Download the <a href="/#Download">precompiled ONELAB
  software bundle</a> for Windows, Linux or MacOS.
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  <li>Launch the app <img src="https://gmsh.info/gallery/icon.png" height=20px>
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  <li>Open e.g. <code>models/BlochPeriodicWaveguides/rhombus.pro</code>.
  <li>Press <code>Run</code>
</ol>

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<h2>Template models</h2>
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<ul>
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  <li>2D and 3D grating models<a href="#1"><sup>1-3</sup></a> are available
    in <code><a href="https://gitlab.onelab.info/doc/models/-/wikis/Diffraction-gratings"
    >models/DiffractionGratings</a></code>.
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  <li>A general 3D scattering model<a href="#4"><sup>4</sup></a> is available
    in <code><a href="https://gitlab.onelab.info/doc/models/-/tree/master/ElectromagneticScattering"
    >models/ElectromagneticScattering</a></code>.
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  <li>A model for the computation of the Bloch dispersion relation in conical
    mounts<a href="#6"><sup>6</sup></a> is avalable
    in <code><a href="https://gitlab.onelab.info/doc/models/-/wikis/Bloch-modes-in-periodic-waveguides"
    >models/BlochPeriodicWaveguides</a></code>.
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  <li>A collection of non-Linear eigenvalue
      problems<a href="#7"><sup>7-8</sup></a> (quadratic, polynomial and
      rational) is avaiable in
      <code><a href="https://gitlab.onelab.info/doc/models/-/tree/master/NonLinearEVP"
      >models/NonLinearEVP</a></code>.
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</ul>

<h2>References</h2>

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  <ol class="small">
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    <li><a name="1"></a>G. Demésy, F. Zolla, A. Nicolet, M. Commandré.
      <a href="https://doi.org/10.1364/JOSAA.27.000878">
      All-purpose finite element formulation for arbitrarily shaped crossed-gratings embedded in a multilayered stack</a>.
      JOSA A 27.4, 878-889, 2010.
    <li><a name="2"></a>G. Demésy, F. Zolla, A. Nicolet.
      <a href="https://arxiv.org/abs/1710.11451">
      A ONELAB model for the parametric study of mono-dimensional diffraction gratings</a>.
      arXiv:1710.11451.
    <li><a name="3"></a>G. Demésy, S. John.
      <a href=" https://doi.org/10.1063/1.4752775">
      Solar energy trapping with modulated silicon nanowire photonic crystals</a>.
      Journal of Applied Physics 112.7, 074326, 2012.
    <li><a name="4"></a>G. Demésy,J.-C. Auger, B. Stout.
      <a href="https://arxiv.org/abs/1807.02355">
      Scattering matrix of arbitrarily shaped objects: combining finite elements and vector partial waves</a>.
      JOSA A 35.8 1401-1409, 2018.
    <li><a name="5"></a>N. Marsic, H. De Gersem, G. Demésy, A. Nicolet, C. Geuzaine.
      <a href="https://arxiv.org/abs/1807.02355">
      Modal analysis of the ultrahigh finesse Haroche QED cavity</a>.
      New Journal of Physics 20.4, 043058, 2018.
    <li><a name="6"></a>F. Zolla, G. Renversez, A. Nicolet.
      Foundations of photonic crystal fibres. World Scientific, 2005.
    <li><a name="7"></a>G. Demésy, A. Nicolet, B. Gralak, C. Geuzaine, C. Campos, J. E. Roman.
      <a href="https://arxiv.org/abs/1802.02363">
      Non-linear eigenvalue problems with GetDP and SLEPc: Eigenmode computations of frequency-dispersive photonic open structures</a>.
      arXiv:1802.02363.
    <li><a name="8"></a>F. Zolla, A. Nicolet, G. Demésy,
      <a href="https://arxiv.org/abs/1807.02355">
      Photonics in highly dispersive media: the exact modal expansion</a>.
      Opt. Lett. 43, 5813, 2018.
  </ol>
</div>

<h2>Sponsors</h2>

<p>
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  ONELAB Photonics was funded in part by the French Agence Nationale pour la
  recherche (ANR-16-CE24-0013), the Walloon Region (WIST3 No 1017086 ONELAB) and
  the Belgian French Community (ARC WAVES 15/19-03).
</p>

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  <a href="http://www.fresnel.fr"><img src="/logo_fresnel.jpg" height="60px"></a>&nbsp;
  <a href="http://www.fresnel.fr"><img src="/logo_amu.jpg" height="50px"></a>&nbsp;&nbsp;&nbsp;
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  <a href="http://www.uliege.be"><img src="/logo_uliege.jpg" height="60px"></a>&nbsp;
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