Updated numerical comparisons example.

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Craig Warren
2016-02-01 16:00:48 +00:00
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@@ -12,28 +12,39 @@ The Finite-Difference Time-Domain (FDTD) method from gprMax is compared with the
Bowtie antenna in free space
----------------------------
:download:`antenna_bowtie_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 :math:`90^\circ`.
FDTD model
^^^^^^^^^^
:download:`antenna_bowtie_fs.in <../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs.in>`
.. literalinclude:: ../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs.in
:language: none
:linenos:
For the MoM, the bowtie antenna was created in MATLAB using the ``bowtieTriangular`` class:
A Gaussian waveform with a centre frequency of 1.5GHz was used to excite the antenna, which was fed by a transmission line with a characteristic impedance of 50 Ohms.
The module ``plot_antenna_params`` from the ``tools`` subpackage was used to calculate and plot the input impedance from the FDTD model.
MoM model
^^^^^^^^^
The bowtie antenna was created using the antenna toolbox in MATLAB, and the ``bowtieTriangular`` class.
.. code-block:: matlab
bowtie = bowtieTriangular('Length', 0.1)
zin = impedance(bowtie, 33.33e6:33.33e6:6e9)
Results
-------
:numref:`antenna_bowtie_fs_zin_results` shows the input impedance (resistive and reactive) for the FDTD (gprMax) and MoM (MATLAB) models.
:numref:`antenna_bowtie_fs_ant_params` shows the input impedance (resistive and reactive) for the FDTD (gprMax) and MoM (MATLAB) models. The frequency resolution for the FFT used in both models was :math:`\Delta f = 33.33~MHz`
.. _hertzian_dipole_fs_results:
.. figure:: ../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs_zin_results.png
.. figure:: ../../tests/numerical/vs_MoM_MATLAB/antenna_bowtie_fs/antenna_bowtie_fs_ant_params.png
:width: 600 px
Input impedance (resistive and reactive) of a bowtie antenna in free space using FDTD (gprMax) and MoM (MATLAB) models.

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@@ -53,6 +53,5 @@ gprMax User Guide
:caption: Appendices
comparisons_analytical
comparisons_numerical
references

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