Skip to content

Instantly share code, notes, and snippets.

@aluchies
Last active May 24, 2016 15:54
Show Gist options
  • Save aluchies/ae9093029b15df45a62cc27ebdd1e4ab to your computer and use it in GitHub Desktop.
Save aluchies/ae9093029b15df45a62cc27ebdd1e4ab to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import utils\n",
"import impedance_map as zm\n",
"import particle_packing as pp\n",
"from numpy.fft import fftn, ifftn, fftshift\n",
"\n",
"import seaborn as sns\n",
"sns.set_context('talk', font_scale=2)\n",
"sns.set_style('whitegrid')\n",
"cp = sns.color_palette()\n",
"\n",
"def sin(f, x, k):\n",
" assert len(f) == len(x), 'Length of f and x vectors differ'\n",
" out = np.zeros(len(k))\n",
" for i, ki in enumerate(k):\n",
" y = f * np.sin(ki * x)\n",
" out[i] = np.trapz(y=y, x=x)\n",
" return out\n",
"\n",
"def estimate_correlation_coefficient(S, k, r):\n",
" \n",
" nonzero_i = np.nonzero(r)[0]\n",
" zero_i = np.nonzero(r == 0.)[0]\n",
" \n",
" b = np.ones(len(r))\n",
" b[nonzero_i] = sin(S * k, k, r[nonzero_i]) / r[nonzero_i]\n",
" b[zero_i] = np.trapz(y=S * k ** 2, x=k)\n",
" b = b / b.max()\n",
" \n",
" return b\n",
"\n",
"estimate_form_factor = estimate_correlation_coefficient\n",
"sphere_correlation = zm.sphere.correlation_coefficient\n",
"sphere_form_factor = zm.sphere.form_factor"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Verify that correlation coefficients are summed using $a^3$ when doing ZM analysis. Generate a volume containing sphere with size $a=0.5$ and a second volume containing sphere with size $a=0.25$. Find correlation for each volume and add these correlation functions. These correlation functions were not normalized before adding them together, which is what happens when doing ZM analysis. Finally, compare to theory assuming correlation coefficients weighted by $a^3$ or $a^6$."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# extent of volumes\n",
"xax = np.linspace(-0.5, 0.5, 50)\n",
"yax = np.linspace(-0.5, 0.5, 50)\n",
"zax = np.linspace(-0.5, 0.5, 50)\n",
"\n",
"# sphere 1\n",
"center = [0, 0, 0]\n",
"radius1 = 0.5\n",
"s1 = pp.sphere.Sphere(center, radius1)\n",
"vol1 = s1.generate_volume(xax, yax, zax)\n",
"\n",
"# sphere 2\n",
"center = [0, 0, 0]\n",
"radius2 = 0.25\n",
"s2 = pp.sphere.Sphere(center, radius2)\n",
"vol2 = s2.generate_volume(xax, yax, zax)\n",
"\n",
"# find correlation for each sphere\n",
"s = tuple(2 * np.asarray(vol1.shape) - 1)\n",
"a = (0, 1, 2)\n",
"vol1_fft = fftn(vol1, s=s, axes=a)\n",
"vol2_fft = fftn(vol2, s=s, axes=a)\n",
"vol1_fft_ifft = np.real( fftshift( ifftn( np.abs(vol1_fft) ** 2, s=s, axes=a) ) )\n",
"vol2_fft_ifft = np.real( fftshift( ifftn( np.abs(vol2_fft) ** 2, s=s, axes=a) ) )\n",
"\n",
"# linearly combine correlations - this is correlation function of ZM with two spheres\n",
"vol_fft_ifft = vol1_fft_ifft + vol2_fft_ifft\n",
"\n",
"# extract x-axis line from correlation\n",
"b = vol_fft_ifft[49, 49, :]\n",
"r = np.linspace(-1.0, 1.0, 2*len(xax) - 1)\n",
"\n",
"# theory assuming correlation coefficients weighted by a^3\n",
"b_a3 = radius1 ** 3 * sphere_correlation(r, radius1, 3) + radius2 ** 3 * sphere_correlation(r, radius2, 3)\n",
"\n",
"# theory assuming correlation coefficients weighted by a^6\n",
"b_a6 = radius1 ** 6 * sphere_correlation(r, radius1, 3) + radius2 ** 6 * sphere_correlation(r, radius2, 3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Results displayed below. These results show that when doing ZM analysis, correlation coefficients are weighted by $a^3$ because blue and dashed green lines are on top of each other. This was expected, but now we know for sure."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10238ea10>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsIAAAHrCAYAAADFWfu6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKQiLiIiIiFtSEBYRERERt/T/z5tFK0eNXMoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d642810>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(r, b / b.max(), label='simulation', linewidth=4)\n",
"plt.plot(r, b_a3 / b_a3.max(), '--', label='weight: a^3', linewidth=4)\n",
"plt.plot(r, b_a6 / b_a6.max(), '--', label='weight: a^6', linewidth=4)\n",
"plt.legend()\n",
"plt.xlabel('r')\n",
"plt.ylabel('b')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Acoustic theory predicts form factors weighted by $a^6$. It seems like correlation coefficients should be weighted by same amount."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# combine form factors for a=0.5 and a=0.25 using weight a^6\n",
"k = np.linspace(0, 15, 100)\n",
"FF = radius1 ** 6 * sphere_form_factor(k, radius1, 3) + radius2 ** 6 * sphere_form_factor(k, radius2, 3)\n",
"\n",
"# Find form factor using correlation coefficient weighted by a^3\n",
"FF_b_a3 = estimate_form_factor(b_a3, r, k)\n",
"\n",
"# Find form factor using correlation coefficient weighted by a^6\n",
"FF_b_a6 = estimate_form_factor(b_a6, r, k)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Results below. Again, the solid blue and the dashed green lines agree with each other. So form factors are weighted by $a^6$, but correlation coefficients are weighted by $a^3$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Why? Form factors are normalized such that $FF(0)=1$. To estimate the form factor from a correlation coefficient, the following equation is used $$FF(k, a) = \\frac{1}{V_s} \\int b_\\gamma (\\Delta r, a) \\sin(k \\Delta r) \\Delta r \\text{d} \\Delta r.$$ When multiplying the form factor by $a^6$, part of it gets canceled out due to $1/V_s$ and the correlation coefficient is multiplied by $a^3$."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-50, 0)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArcAAAHrCAYAAADVObVmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n67QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10417f250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(k, 10*np.log10(FF / FF.max()), label='FF weight: a^6', linewidth=4)\n",
"plt.plot(k, 10*np.log10(FF_b_a3 / FF_b_a3.max()), '--', label='FF using correlation weight: a^3', linewidth=4)\n",
"plt.plot(k, 10*np.log10(FF_b_a6 / FF_b_a6.max()), '--', label='FF using correlation weight: a^6', linewidth=4)\n",
"plt.legend(loc='lower left')\n",
"plt.xlabel('k')\n",
"plt.ylabel('FF')\n",
"plt.ylim(-50, 0)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment