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**********************
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Analytical comparisons
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This section presents comparisons between analytical and modelled solutions.
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Hertzian dipole in free space
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=============================
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:download:`hertzian_dipole_fs.in <../../tests/analytical/hertzian_dipole_fs/hertzian_dipole_fs.in>`
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This example is of a Hertzian dipole, i.e. an additive source (electric current density), in free space.
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.. literalinclude:: ../../tests/analytical/hertzian_dipole_fs/hertzian_dipole_fs.in
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:language: none
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:linenos:
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The function ``hertzian_dipole_fs`` in the ``analytical solutions`` module in the ``tests`` sub-package was written to compute the analytical solution.
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.. autofunction:: tests.analytical_solutions.hertzian_dipole_fs
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Results
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-------
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:numref:`hertzian_dipole_fs_results` shows the time history of the electric and magnetic field components of the modelled and analytical solutions. The responses overlap one another due to their similarity. Therefore, :numref:`hertzian_dipole_fs_results_diffs` shows the percentage differences between the solutions.
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.. _hertzian_dipole_fs_results:
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.. figure:: ../../tests/analytical/hertzian_dipole_fs/hertzian_dipole_fs_vs_analytical.png
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:width: 600 px
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Time history of the electric and magnetic field components of the modelled and analytical solutions.
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.. _hertzian_dipole_fs_results_diffs:
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.. figure:: ../../tests/analytical/hertzian_dipole_fs/hertzian_dipole_fs_vs_analytical_diffs.png
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:width: 600 px
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Percentage differences between the modelled and analytical solutions.
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