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@hayesla
Created April 1, 2021 11:40
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{
"cells": [
{
"cell_type": "markdown",
"id": "ordered-catch",
"metadata": {},
"source": [
"# Analyzing LOFAR data: Imaging Spectroscopy of Fine Structure\n",
"\n",
"This is a python notebook that replicates the IDL Tutorial 2 from the LOFAR Sub-second structures in low frequency solar radio observations workshop. \n",
"\n",
"To understand the steps here - the FineStructureTutorial.pdf should be consulted.\n",
"\n",
"Note: There are lots of different ways to do the analysis performed here, and some aspects could be done in a more \"pythonic way\" but this notebook was written to closely follow the IDL equivalent tutorial. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "cloudy-pitch",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np \n",
"import matplotlib.pyplot as plt \n",
"from scipy.io import readsav\n",
"import sunpy.visualization.colormaps\n",
"from matplotlib.colors import LogNorm\n",
"from sunpy.time import parse_time\n",
"from matplotlib import dates\n",
"from scipy.interpolate import griddata\n",
"\n",
"from astropy.modeling import models, fitting\n",
"from scipy.optimize import curve_fit"
]
},
{
"cell_type": "markdown",
"id": "insured-factor",
"metadata": {},
"source": [
"We can use the scipy.io.readsav function to read in IDL sav files. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "sharp-packet",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"--------------------------------------------------\n",
"Date: Thu Mar 25 11:28:37 2021\n",
"User: Alexey\n",
"Host: DESKTOP-EEQ1RD9\n",
"--------------------------------------------------\n",
"Format: 11\n",
"Architecture: x86_64\n",
"Operating System: Win32\n",
"IDL Version: 8.2\n",
"--------------------------------------------------\n",
"Successfully read 8 records of which:\n",
" - 1 are of type VERSION\n",
" - 5 are of type VARIABLE\n",
" - 1 are of type TIMESTAMP\n",
"--------------------------------------------------\n",
"Available variables:\n",
" - cube [<class 'numpy.ndarray'>]\n",
" - time [<class 'numpy.ndarray'>]\n",
" - freq [<class 'numpy.ndarray'>]\n",
" - xpos [<class 'numpy.ndarray'>]\n",
" - ypos [<class 'numpy.ndarray'>]\n",
"--------------------------------------------------\n"
]
}
],
"source": [
"data = readsav(\"DriftingPairs.sav\", verbose=True)"
]
},
{
"cell_type": "markdown",
"id": "permanent-inspection",
"metadata": {},
"source": [
"### Lets just pull out these data to have the same names to follow the IDL tutorial."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "suited-israel",
"metadata": {},
"outputs": [],
"source": [
"cube = data[\"cube\"]\n",
"time = data[\"time\"]\n",
"freq = data[\"freq\"]\n",
"xpos, ypos = data[\"xpos\"], data[\"ypos\"]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "statistical-destruction",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(207, 954, 217)\n"
]
}
],
"source": [
"print(cube.shape)"
]
},
{
"cell_type": "markdown",
"id": "known-westminster",
"metadata": {},
"source": [
"Can sum over all beams (217 beams here)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "medium-bandwidth",
"metadata": {},
"outputs": [],
"source": [
"spec = np.sum(cube, axis=2)"
]
},
{
"cell_type": "markdown",
"id": "atmospheric-modeling",
"metadata": {},
"source": [
"Just to be the same as the the IDL tutorial we'll use the same colormap \"STD_GAMMA_II\" - this is actually imported from sunpy.colormaps"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "frequent-jamaica",
"metadata": {},
"outputs": [],
"source": [
"cmap = plt.get_cmap('std_gamma_2')"
]
},
{
"cell_type": "markdown",
"id": "bright-thong",
"metadata": {},
"source": [
"### Below is a function to plot the dynamic spectra (similar to what spectro_plot2 in IDL does). \n",
"\n",
"It takes the dyanamic spectra (spec) a 2D array, the time array (in datetime) and frequency array.\n",
"It is basically just using matplotlib.imshow, so the keyword arguments to .imshow can also be passed here."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "beginning-comment",
"metadata": {},
"outputs": [],
"source": [
"def spectro_plot(spec, time, freq, axes=None, **kwargs):\n",
" \"\"\"\n",
" Plot the dyanamic spectrum.\n",
" Parameters\n",
" ----------\n",
" spec : `~ndarray`\n",
" 2D dynamic spectrum intensity array\n",
" time : `list` of `ndarray`\n",
" datetime objects\n",
" freq : `list` or `ndarray`\n",
" array of corresponding frequencies\n",
" axes : axis on which to plot, optional\n",
" default is None\n",
" \n",
" **kwargs : `~dict`\n",
" additional keyword arguments for plt.imshow.\n",
" \"\"\"\n",
" if axes is None:\n",
" ax = plt.gca()\n",
" else:\n",
" ax=axes\n",
" \n",
" im = ax.imshow(spec, \n",
" aspect=\"auto\",\n",
" origin=\"lower\",\n",
" extent=[dates.date2num(time[0]), dates.date2num(time[-1]),\n",
" freq[0], freq[-1]], \n",
" **kwargs)\n",
" \n",
" ax.set_xlabel(\"Time ({:s} UT)\".format(time[0].strftime(\"%Y-%m-%d\")))\n",
" ax.set_ylabel(\"Frequency (MHz)\")\n",
" ax.xaxis.set_major_formatter(dates.DateFormatter(\"%H:%M:%S\"))\n",
"\n",
" return im"
]
},
{
"cell_type": "markdown",
"id": "rapid-trigger",
"metadata": {},
"source": [
"Lets get the time array into datetime objects. We can do this using sunpy's `parse_time` function."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "israeli-street",
"metadata": {},
"outputs": [],
"source": [
"time_datetime = parse_time(time, format=\"utime\").datetime"
]
},
{
"cell_type": "markdown",
"id": "exceptional-nashville",
"metadata": {},
"source": [
"We can now plot the dynamic spectra (spec) by using the function above. Here, the `norm` keyword is passed to be log-normalized, and the colormap keyword passed."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "related-better",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fca840ad950>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"spectro_plot(spec, time_datetime, freq, \n",
" cmap=cmap, norm=LogNorm())"
]
},
{
"cell_type": "markdown",
"id": "jewish-harrison",
"metadata": {},
"source": [
"Define a region of interest in time and frequency"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "funky-touch",
"metadata": {},
"outputs": [],
"source": [
"trange = [parse_time(\"2017-07-12 08:51:21\").datetime, \n",
" parse_time(\"2017-07-12 08:51:29\").datetime]\n",
"freqrange = [np.min(freq), 36]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "short-strip",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[datetime.datetime(2017, 7, 12, 8, 51, 21),\n",
" datetime.datetime(2017, 7, 12, 8, 51, 29)]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trange"
]
},
{
"cell_type": "markdown",
"id": "genetic-forest",
"metadata": {},
"source": [
"Lets pull out the indices for this region of interest"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "administrative-spirituality",
"metadata": {},
"outputs": [],
"source": [
"indices_time = (time_datetime>=trange[0]) & (time_datetime<=trange[1])\n",
"indices_freq = (freq>=freqrange[0]) & (freq<=freqrange[1])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "adjacent-milan",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(954,)\n",
"(207,)\n"
]
}
],
"source": [
"print(indices_time.shape)\n",
"print(indices_freq.shape)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "stuck-convert",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(207, 954)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spec.shape"
]
},
{
"cell_type": "markdown",
"id": "lonely-prince",
"metadata": {},
"source": [
"Lets then crop the `spec` array between this region of interest"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "graduate-aerospace",
"metadata": {},
"outputs": [],
"source": [
"crop_time = spec[:, indices_time]\n",
"crop_freq = crop_time[indices_freq, :]"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "vocal-handy",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7fca845faf10>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"im = spectro_plot(crop_freq, time_datetime[indices_time], freq[indices_freq], axes=ax,\n",
" cmap=cmap, vmin=0.3, vmax=1.3)\n",
"fig.colorbar(im)"
]
},
{
"cell_type": "markdown",
"id": "friendly-workstation",
"metadata": {},
"source": [
"Lets overplot a straight line along one of the bursts"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "aquatic-tuning",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"spectro_plot(crop_freq, time_datetime[indices_time], freq[indices_freq],\n",
" cmap=cmap, vmin=0.3, vmax=1.3, axes=ax)\n",
"ax.plot([dates.date2num(parse_time('2017-07-12 08:51:22.3').datetime),\n",
" dates.date2num(parse_time(\"2017-07-12 08:51:26.0\").datetime)], \n",
" [35.8, 30], color=\"k\")\n",
"ax.xaxis.set_major_formatter(dates.DateFormatter(\"%H:%M:%S\"))"
]
},
{
"cell_type": "markdown",
"id": "electronic-policy",
"metadata": {},
"source": [
"Can estimate the frequency drift rate (see tutorial pdf)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "finite-pearl",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-1.621621621621622\n"
]
}
],
"source": [
"print((36.0 - 30)/(22.3-26))"
]
},
{
"cell_type": "markdown",
"id": "meaningful-standing",
"metadata": {},
"source": [
"Lets find the index that corresponds to 32 MHz"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "dedicated-little",
"metadata": {},
"outputs": [],
"source": [
"j0 = np.argmin(np.abs(freq-32))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "express-apple",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"11\n"
]
}
],
"source": [
"print(j0)"
]
},
{
"cell_type": "markdown",
"id": "portable-correlation",
"metadata": {},
"source": [
"We can then plot the lightcurve of intensity at this frequency as a function of time."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "racial-release",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(17359.368993055556, 17359.369085648148)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(time_datetime, spec[j0, :], \n",
" drawstyle=\"steps-mid\")\n",
"plt.ylim(0.2, 1.4)\n",
"plt.xlim(trange[0], trange[1])"
]
},
{
"cell_type": "markdown",
"id": "corresponding-corruption",
"metadata": {},
"source": [
"Lets now find the index of the time corresponding to the first component that peaks at ~08:51:23.5UT"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "numerous-paper",
"metadata": {},
"outputs": [],
"source": [
"i0 = np.argmin(np.abs(time_datetime-parse_time(\"2017-07-12 08:51:23.5\").datetime))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "union-firewall",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100\n"
]
}
],
"source": [
"print(i0)"
]
},
{
"cell_type": "markdown",
"id": "blocked-copyright",
"metadata": {},
"source": [
"## Analyze the imaging data"
]
},
{
"cell_type": "markdown",
"id": "lightweight-kansas",
"metadata": {},
"source": [
"First create x and y arrays with values between -3000, 3000"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "colonial-moscow",
"metadata": {},
"outputs": [],
"source": [
"x = np.linspace(-3000, 3000, 600)\n",
"y = np.linspace(-3000, 3000, 600)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "adjustable-superior",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(217,)\n",
"(600,)\n",
"(217,)\n"
]
}
],
"source": [
"print(xpos.shape)\n",
"print(x.shape)\n",
"print(cube[j0, i0, :].shape)"
]
},
{
"cell_type": "markdown",
"id": "structured-occasion",
"metadata": {},
"source": [
"In the tutorial , griddata is used to interpolate the irregularly gridded data (defined by the beam coordinates) to the regularly spaced data grid. We'll similarly do that here using scipy.interpolate.griddata. \n",
"\n",
"Also what needs to be noted here is that in the tutorial a radial basis function is used for the interpolation. For simplicity we're just using a cubic interpolation method. There are also lots of different ways to do this in python!"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "religious-punch",
"metadata": {},
"outputs": [],
"source": [
"xx, yy = np.meshgrid(x, y, sparse=False)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "found-cooperative",
"metadata": {},
"outputs": [],
"source": [
"img = griddata((xpos, ypos), cube[j0, i0, :], (xx, yy),method='cubic')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "molecular-astrology",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(600, 600)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"img.shape"
]
},
{
"cell_type": "markdown",
"id": "forbidden-march",
"metadata": {},
"source": [
"Lets now plot this. As we can see below - regions outside of the beam coordinates are set to nan's. You can play around with this, but for this notebook we'll just stick to this cubic interpolation with scipy's griddata."
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "adapted-lease",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fca84ddbf50>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"ax.imshow(img, aspect=\"equal\", origin=\"lower\", \n",
" extent=[x[0], x[-1], y[0], y[-1]])\n"
]
},
{
"cell_type": "markdown",
"id": "palestinian-hardwood",
"metadata": {},
"source": [
"## We can also overplot the beam coordinates (that are stored in xpos, ypos)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "ambient-necessity",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fca86207ad0>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"ax.imshow(img, origin=\"lower\", aspect=\"equal\", extent=[x[0], x[-1], y[0], y[-1]])\n",
"ax.scatter(xpos, ypos, marker='o', facecolors='none', edgecolor=\"k\")\n"
]
},
{
"cell_type": "markdown",
"id": "banned-devices",
"metadata": {},
"source": [
"### Fit the image with a model function.\n",
"\n",
"Here the code below is direct translation of the IDL tutorial - however it should be noted that there are so many ways that this can be done in python, particularly with Astropys modelling functionality (which I would recommend!)"
]
},
{
"cell_type": "markdown",
"id": "uniform-zimbabwe",
"metadata": {},
"source": [
"Lets first fill the array of initial guess parameters. Again this is a direct copy from the tutorial - refer to that for more info here."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "beautiful-assist",
"metadata": {},
"outputs": [],
"source": [
"k = np.argmax(cube[j0, i0, :])"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "failing-pledge",
"metadata": {},
"outputs": [],
"source": [
"a = [np.nanmin(cube[j0, i0, :]), \n",
" np.nanmax(cube[j0, i0, :])-np.nanmin(cube[j0, i0, :]), \n",
" xpos[k], ypos[k], 500.0, 500.0, 0.0]\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "selective-interstate",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[0.0008313815,\n",
" 0.023599582,\n",
" -232.87737524001844,\n",
" -504.9106781567672,\n",
" 500.0,\n",
" 500.0,\n",
" 0.0]"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "split-essence",
"metadata": {},
"outputs": [],
"source": [
"def Gauss2D(xy, A0, A1, x0, y0, sigma_x, sigma_y, theta):\n",
" \"\"\"\n",
" 2D elliptical gaussian function (copy from Gauss2d.PRO)\n",
" \n",
" \"\"\"\n",
" xpos = xy[0]\n",
" ypos = xy[1]\n",
" \n",
" xx=(xpos-x0)*np.cos(theta)-(ypos-y0)*np.sin(theta)\n",
" yy=(xpos-x0)*np.sin(theta)+(ypos-y0)*np.cos(theta)\n",
" f=A0+A1*np.exp(-xx**2/2/sigma_x**2-yy**2/2/sigma_y**2)\n",
" \n",
" return f"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "dangerous-arcade",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fca86558a50>]"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(Gauss2D(np.array([xpos, ypos]), a[0], a[1], a[2], a[3], a[4], a[5], a[6]))"
]
},
{
"cell_type": "markdown",
"id": "subject-magazine",
"metadata": {},
"source": [
"We'll use scipy's curve_fit function to fit the function to the data (again copy from IDL)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "accompanied-hierarchy",
"metadata": {},
"outputs": [],
"source": [
"popt, pcov = curve_fit(Gauss2D, np.array([xpos, ypos]), cube[j0, i0, :], p0=a)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "sharp-oriental",
"metadata": {},
"outputs": [],
"source": [
"A0, A1, x0, y0, sigma_x, sigma_y, theta = popt"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "intended-reproduction",
"metadata": {},
"outputs": [],
"source": [
"theta_deg = np.rad2deg(np.arctan2(np.sin(theta), np.cos(theta)))"
]
},
{
"cell_type": "markdown",
"id": "coordinate-bulgaria",
"metadata": {},
"source": [
"to check the results are correct lets overplot the centroid location as a red star"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "lesser-plasma",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fca8676d3d0>]"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"plt.imshow(img, origin=\"lower\", aspect=\"auto\", extent=[x[0], x[-1], y[0], y[-1]])\n",
"plt.gca().set_aspect('equal', adjustable='box')\n",
"plt.scatter(xpos, ypos, marker='o', facecolors='none', edgecolor=\"k\")\n",
"\n",
"plt.plot(x0, y0, marker='*', color=\"r\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "hybrid-cooler",
"metadata": {},
"outputs": [],
"source": [
"phi = 2*np.pi*np.arange(360)/359"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "radio-hearts",
"metadata": {},
"outputs": [],
"source": [
"x_eclipse = x0+sigma_x*np.cos(phi)*np.cos(theta_deg)+sigma_y*np.sin(phi)*np.sin(theta_deg)\n",
"y_eclipse = y0-sigma_x*np.cos(phi)*np.sin(theta_deg)+sigma_y*np.sin(phi)*np.cos(theta_deg)"
]
},
{
"cell_type": "markdown",
"id": "treated-democrat",
"metadata": {},
"source": [
"Can now plot the ellipse which represents the model source as 1/e level."
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "sensitive-batch",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fca86c26d10>]"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"plt.imshow(img, origin=\"lower\", aspect=\"auto\", extent=[x[0], x[-1], y[0], y[-1]])\n",
"plt.gca().set_aspect('equal', adjustable='box')\n",
"plt.scatter(xpos, ypos, marker='o', facecolors='none', edgecolor=\"grey\")\n",
"\n",
"plt.plot(x0, y0, marker='*', color=\"r\")\n",
"plt.plot(x_eclipse, y_eclipse, color=\"b\")"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "prime-marathon",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"181.5574676693219\n"
]
}
],
"source": [
"print(np.pi*sigma_x*sigma_y/3600)"
]
},
{
"cell_type": "markdown",
"id": "direct-netherlands",
"metadata": {},
"source": [
"You can then use this to perform the same fitting but for all times at a chosen frequency. Below we do this by looping over time and saving the parameters in a list `fits`"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "specific-disclaimer",
"metadata": {},
"outputs": [],
"source": [
"fits = []\n",
"for i in range(len(time)):\n",
" popt, pcov = curve_fit(Gauss2D, np.array([xpos, ypos]), cube[j0, i, :], p0=a)\n",
" fits.append(popt)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "julian-house",
"metadata": {},
"outputs": [],
"source": [
"fits = np.array(fits)"
]
},
{
"cell_type": "markdown",
"id": "central-sample",
"metadata": {},
"source": [
"Lets now pull out the different arrays of fitted parameters i.e. (x0, y0, sigma_x, sigma_y)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "intimate-queen",
"metadata": {},
"outputs": [],
"source": [
"x0arr = fits[:, 2]\n",
"y0arr = fits[:, 3]\n",
"sx_arr = fits[:, 4]\n",
"sy_arr = fits[:, 5]"
]
},
{
"cell_type": "markdown",
"id": "blond-brass",
"metadata": {},
"source": [
"First plot the profile of the source radial distance ($r = \\sqrt{x^2 + y^2}$)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "neural-spirituality",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(17359.368993055556, 17359.369085648148)"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"plt.plot(time_datetime, np.sqrt(x0arr**2+y0arr**2), drawstyle=\"steps-mid\")\n",
"plt.ylim(340, 450)\n",
"plt.xlim(trange[0], trange[-1])"
]
},
{
"cell_type": "markdown",
"id": "promotional-hurricane",
"metadata": {},
"source": [
"And plot the time profile of apparent source area"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "varying-venture",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(170.0, 210.0)"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"plt.plot(time_datetime, np.pi*sx_arr*sy_arr/3600, drawstyle=\"steps-mid\")\n",
"plt.xlim(trange[0], trange[-1])\n",
"plt.ylim(170, 210)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "accepting-vector",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "coupled-version",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "useful-sponsorship",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "alpha-reduction",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "finnish-excellence",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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