Adding section for comparison of different numerical modelling methods.

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Craig Warren
2016-02-01 14:55:55 +00:00
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*********************
Numerical comparisons
*********************
This section presents some comparisons of models using different numerical modelling techniques.
FDTD/MoM
========
The Finite-Difference Time-Domain (FDTD) technique using gprMax is compared with the Method of Moments (MoM) using the MATLAB antenna toolbox (http://uk.mathworks.com/products/antenna/).
Bowtie antenna in free space
----------------------------
:download:`hertzian_dipole_fs.in <../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs.in>`
This example considers the input impedance of a planar bowtie antenna in free space. The length and height of the bowtie are 100mm, giving a flare angle of 90$^\circ$.
.. literalinclude:: ../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs.in
:language: none
:linenos:
The MoM was created in MATLAB using the ``bowtieTriangular`` class:
.. code-block:: matlab
bowtie = bowtieTriangular('Length', 0.1)
Results
-------
:numref:`antenna_bowtie_fs_zin_results` shows the input impedance (resistive and reactive) for the FDTD (gprMax) and MoM (MATLAB) models.
.. _hertzian_dipole_fs_results:
.. figure:: ../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs_zin_results.png
:width: 600 px
Input impedance (resistive and reactive) of a bowtie antenna in free space using FDTD (gprMax) and MoM (MATLAB) models.
The match between the FDTD and MoM solutions is generally very good.

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@@ -52,6 +52,7 @@ gprMax User Guide
:maxdepth: 2
:caption: Appendices
analytical_comparisons
comparisons_analytical
comparisons_numerical
references