文件
gprMax/tools/Jupyter notebooks/plot_builtin_wave.ipynb
2016-05-19 13:11:50 +01:00

157 行
69 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plotting a builtin waveform\n",
"\n",
"In the ``tools`` sub-package is a module called ``plot_builtin_wave`` which can be used to plot any of the builtin waveforms in time and frequency domains. The module takes the following arguments:\n",
"\n",
"* ``type`` is the type of the waveform, e.g. ricker\n",
"* ``amp`` is the amplitude of the waveform\n",
"* ``freq`` is the centre frequency of the waveform\n",
"* ``timewindow`` is the time window used to view the waveform, i.e. the time window of the proposed simulation\n",
"* ``dt`` is the time step used to view the waveform, i.e. the time step of the proposed simulation\n",
"\n",
"There is an optional argument:\n",
"\n",
"* ``-fft`` a switch to turn on the FFT plotting for a single field component or current\n",
"\n",
"For example (to use the module outside this notebook) to plot a Ricker waveform (and FFT) with an amplitude of 1, centre frequency of 1.5GHz and with a time window of 3ns and time step of 1.926ps:\n",
"\n",
" python -m tools.plot_builtin_wave ricker 1 1.5e9 3e-9 1.926e-12 -fft"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can use the following code to experiment (in this notebook) with plotting different waveforms."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Waveform characteristics...\n",
"Type: ricker\n",
"Amplitude: 1\n",
"Centre frequency: 2.5e+07 Hz\n",
"Time to centre of pulse: 4e-08 s\n",
"Time window: 3e-07 s (3742 iterations)\n",
"Time step: 8.019e-11 s\n"
]
},
{
"data": {
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iPs6IT3TEyBnxQaqtWbNG69ev19KlS7V06VI9+uijFa/dcccdWrt2rVavXq2+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\n6aab1KJFC02fPj2uSSIA9va3I44ovhqQK+y/VNrb90LC1RiFEPFxRnx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VFi9OaDiKTmFG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\n0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"text/plain": [
"<matplotlib.figure.Figure at 0x1060cb0b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from gprMax.waveforms import Waveform\n",
"from tools.plot_builtin_wave import check_timewindow, mpl_plot\n",
"\n",
"w = Waveform()\n",
"w.type = 'ricker'\n",
"w.amp = 1\n",
"w.freq = 25e6\n",
"timewindow = 300e-9\n",
"dt = 8.019e-11\n",
"\n",
"timewindow, iterations = check_timewindow(timewindow, dt)\n",
"plt = mpl_plot(w, timewindow, dt, iterations, fft=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can use the following code as a guide to determining a spatial resolution for a simulation."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum wavelength = 0.416378m\n",
"Maximum spatial resolution = 0.0416378m\n",
"Time step for 3D cubic cell = 8.01875e-11s\n",
"Time step for 2D cubic cell = 9.82093e-11s\n"
]
}
],
"source": [
"from math import sqrt\n",
"\n",
"# Speed of light in vacuum (m/s)\n",
"c = 299792458\n",
"\n",
"# Highest relative permittivity present in model\n",
"er = 81\n",
"\n",
"# Maximum frequency present in model\n",
"fmax = 80e6\n",
"\n",
"# Minimum wavelength\n",
"wmin = c / (fmax * sqrt(er))\n",
"\n",
"# Maximum spatial resolution (allowing 10 cells per wavelength)\n",
"dmin = wmin / 10\n",
"\n",
"# Time steps at CFL limits for cubic cells\n",
"dt3D = dmin / (sqrt(3) * c)\n",
"dt2D = dmin / (sqrt(2) * c)\n",
"\n",
"print('Minimum wavelength = {:g}m'.format(wmin))\n",
"print('Maximum spatial resolution = {:g}m'.format(dmin))\n",
"print('Time step for 3D cubic cell = {:g}s'.format(dt3D))\n",
"print('Time step for 2D cubic cell = {:g}s'.format(dt2D))"
]
}
],
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