diff --git a/docs/source/analytical_comparisons.rst b/docs/source/comparisons_analytical.rst similarity index 100% rename from docs/source/analytical_comparisons.rst rename to docs/source/comparisons_analytical.rst diff --git a/docs/source/comparisons_numerical.rst b/docs/source/comparisons_numerical.rst new file mode 100644 index 00000000..d06b26cf --- /dev/null +++ b/docs/source/comparisons_numerical.rst @@ -0,0 +1,49 @@ +********************* +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. + + + + + + + + diff --git a/docs/source/index.rst b/docs/source/index.rst index b33f2305..4c519e7b 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -52,6 +52,7 @@ gprMax User Guide :maxdepth: 2 :caption: Appendices - analytical_comparisons + comparisons_analytical + comparisons_numerical references