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<h1 class="short">ONELAB Photonics</h1>
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<img src="Diffraction-gratings_screenshot2.png" alt="">
<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>
ONELAB Photonics is a set of models combining the open source finite
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<a href="#1"><sup>1</sup></a>.
</p>
<p>
These models can be used as-is for parametric studies or as template models
since implementing new opto-geometric parameters using Gmsh and GetDP is
rather simple.
</p>
<p>
For instance, it is possible to compute direct problems such as the
diffraction of a plane wave by a grating<a href="#2"><sup>2-4</sup></a> (in 2D
and 3D) or the scattering of an arbitrary wave by a scatterer
(T-matrix<a href="#5"><sup>5</sup></a>, near and far field data...)
</p>
<p>
A collection of eigenvalue problems is also available, such as the
Quasi-Normal Modes of open structures<a href="#6"><sup>6</sup></a>, the the
Bloch band diagram of photonics crystals, the leaky modes of a microstructured
fiber<a href="#7"><sup>7</sup></a>, or the modes resulting from non-linear
eigenvalue problems arising when considering frequency-dispersive
permittivities<a href="#8"><sup>8-9</sup></a>.
</p>
<h2>Quick start</h2>
<ol>
<li>Download the <a href="/#Download">precompiled ONELAB
software bundle</a> for Windows, Linux or MacOS.
<li>Launch the app <img src="https://gmsh.info/gallery/icon.png" height=20px>
<li>Open e.g. <code>models/BlochPeriodicWaveguides/rhombus.pro</code>.
<li>Press <code>Run</code>
</ol>
<h2>Template models</h2>
<ul>
<li>2D and 3D grating models<a href="#2"><sup>2-4</sup></a> are available
in <code><a href="https://gitlab.onelab.info/doc/models/-/wikis/Diffraction-gratings"
>models/DiffractionGratings</a></code>.
<li>A general 3D scattering model<a href="#5"><sup>5</sup></a> is available
in <code><a href="https://gitlab.onelab.info/doc/models/-/tree/master/ElectromagneticScattering"
>models/ElectromagneticScattering</a></code>.
<li>A model for the computation of the Bloch dispersion relation in conical
mounts<a href="#7"><sup>7</sup></a> is avalable
in <code><a href="https://gitlab.onelab.info/doc/models/-/wikis/Bloch-modes-in-periodic-waveguides"
>models/BlochPeriodicWaveguides</a></code>.
<li>A collection of non-Linear eigenvalue
problems<a href="#8"><sup>8-9</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>.
</ul>
<h2>References</h2>
<div class="small">
<ol class="small">
<li><a name="1"></a>G. Demésy, A. Nicolet, F. Zolla,
C. Geuzaine. <a href="https://doi.org/10.1051/photon/202010040">Modélisation
par la méthode de éléments finis avec ONELAB</a>. Photoniques 100, 40-45,
2020.
<li><a name="2"></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="3"></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="4"></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="5"></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="6"></a>N. Marsic, H. De Gersem, G. Demésy, A. Nicolet, C. Geuzaine.
<a href="https://iopscience.iop.org/article/10.1088/1367-2630/aab6fd">
Modal analysis of the ultrahigh finesse Haroche QED cavity</a>.
New Journal of Physics 20.4, 043058, 2018.
<li><a name="7"></a>F. Zolla, G. Renversez, A. Nicolet. Foundations of
photonic crystal fibres. World Scientific, 2005.
<li><a name="8"></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="9"></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>
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).
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