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@brianjp93
Last active March 12, 2019 09:13
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Plotting Zernike Polynomials In iPython Notebook
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{
"metadata": {
"name": "Zernike Polynomials"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": "Zernike Polynomials\n<div style=\"font-size:10px\"><p>iPython notebook written by Brian Perrett</p>\n<p>July 15th, 2014</p></div>"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The Zernike Polynomials are defined in this powerpoint from Stanford.</br>\n<a href=\"https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=0CCUQFjAB&url=http%3A%2F%2Fscien.stanford.edu%2Fpages%2Flabsite%2F2003%2Fpsych221%2Fprojects%2F03%2Fpmaeda%2Findex_files%2Fppt_presentation.ppt&ei=9fTFU5T4AcXNigLI6YHACA&usg=AFQjCNEmNKAKKRxt5BdCEg4tj66f5Ica_A&sig2=3u3y5JyqPm9vCvIlyV7_XA&bvm=bv.71126742,d.cGE\">Zernike Powerpoint</a>"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "From slide 8...\n\nIn the powerpoint, the Zernike Polynomials are defined as...</br>\n$Z_n^m(\\rho, \\theta) = N_n^mR_n^{|m|}(\\rho)cos(m\\theta)$ for $m\\geq 0$, $0\\leq p\\leq 1$, $0\\leq\\theta\\leq 2\\pi$ </br>\n</br>\nand </br>\n</br>\n$Z_n^m(\\rho, \\theta) = -N_n^mR_n^{|m|}(\\rho)sin(m\\theta)$ for $m < 0$, $0\\leq p\\leq 1$, $0\\leq\\theta\\leq 2\\pi$\n</br>\n</br>\nfor a given $n$: $m$ can take values of $-n, -n+2, -n+4,...,n$</br>\n</br>\n$N_n^m$ is the normalization factor</br>\n</br>\n<p style=\"font-size:18px\">$N_n^m = \\sqrt{\\frac{2(n+1)}{1+\\delta_{m0}}}$</p></br>\n$\\delta_{m0}$ is dependent on $m$.</br>\n$\\delta_{m0} = 1$ for $m=0$, $\\delta_{m0} = 0$ for $m\\neq 0$\n\n$R_n^{|m|}(\\rho)$ is the radial polynomial</br>\n$R_n^{|m|}(\\rho) = \\sum_{s=0}^{(n-|m|)/2}$ $\\frac{(-1)^s(n-s)!}{s![0.5(n+|m|)-s]![0.5(n-|m|)-s]!}\\rho^{n-2s}$"
},
{
"cell_type": "code",
"collapsed": false,
"input": "from mpl_toolkits.mplot3d import Axes3D\nfrom matplotlib import cm\nfrom matplotlib.ticker import LinearLocator, FormatStrFormatter\nimport matplotlib.pyplot as plt\nimport numpy as np\nimport math\n\nclass Zernike():\n def __init__(self):\n self.theta_vals = np.linspace(0, 2*np.pi, 100)\n self.rho_vals = np.linspace(0, 1, 100)\n \n def get_N(self, n, m):\n \"\"\"\n finds and returns the normalization factor. \n Also makes self.N = normalization factor\n \"\"\"\n if m == 0:\n delta = 1\n N = np.sqrt((2*(n + 1))/(1 + delta))\n else:\n delta = 0\n N = np.sqrt((2*(n + 1))/(1 + delta))\n self.N = N\n return N\n \n def R_root(self, n, m, rho, s):\n \"\"\"\n This is the computation for the inside of the summation.\n The actual summation is done in get_R()\n \"\"\"\n top = ((-1)**s)*math.factorial(n-s)\n bottom = math.factorial(s)*math.factorial((0.5*(n+abs(m))-s)) * math.factorial((0.5*(n-abs(m))-s))\n temp_R = (top/bottom)*rho**(n-(2*s))\n return temp_R\n \n def get_R(self, n, m, rho):\n \"\"\"\n finds the radial polynomial. Completes the summation.\n \"\"\"\n top_bound = (n - abs(m))/2\n check_int = int(top_bound)\n if not top_bound == check_int:\n raise Exception(\"m is not a valid number. Must be -n, -n+2, -n+4,..., n\")\n top_bound = check_int\n total = 0\n for s in list(range(top_bound + 1)):\n total += self.R_root(n, m, rho, s)\n return total\n \n def get_Z(self, n, m, rho):\n \"\"\"\n finds circle of values at all theta values at a specific \n rho value Z(rho, theta) using polar coordinates.\n returns theta as self.theta_vals values and their corresponding \n Z values as Z\n \"\"\"\n theta = np.linspace(0, 2*np.pi, 100)\n self.theta_vals = theta\n \n Rho, Theta = np.meshgrid(rho_values, theta)\n \n N = self.get_N(n, m)\n R = self.get_R(n, m, rho)\n # zernike equation depends on if m is positive or negative.\n if m >= 0:\n Z = N * R * np.cos(m * Theta)\n else:\n Z = -N * R * np.sin(m * Theta)\n return Z\n \n def surface_plot_Z(self, n, m):\n rho_vals = np.linspace(0, 1, 100)\n \n # to be honest, not sure what meshgrid does. \n #It's just necessary for 3d plotting.\n Rho, Theta = np.meshgrid(rho_vals, self.theta_vals)\n #convert to cartesian coordinates\n X = Rho*np.cos(Theta)\n Y = Rho*np.sin(Theta)\n \n N = self.get_N(n, m)\n R = self.get_R(n, m, Rho)\n \n if m >= 0:\n Z = N * R * np.cos(m * Theta)\n else:\n Z = -N * R * np.sin(m * Theta)\n \n fig = plt.figure()\n ax = Axes3D(fig)\n ax.plot_surface(X,Y,Z, rstride=1, cstride=1, cmap='GnBu')\n \n def contour_plot_Z(self, n, m):\n rho_vals = np.linspace(0, 1, 100)\n \n # to be honest, not sure what meshgrid does. \n #It's just necessary for 3d plotting.\n Rho, Theta = np.meshgrid(rho_vals, self.theta_vals)\n #convert to cartesian coordinates\n X = Rho*np.cos(Theta)\n Y = Rho*np.sin(Theta)\n \n N = self.get_N(n, m)\n R = self.get_R(n, m, Rho)\n \n if m >= 0:\n Z = N * R * np.cos(m * Theta)\n else:\n Z = -N * R * np.sin(m * Theta)\n V = np.linspace(np.amin(Z),np.amax(Z),100)\n plt.contourf(X,Y,Z,V, zdir='z', cmap='GnBu')\n plt.colorbar()",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": "We can now use the functions, cartesian_plot_Z() and surface_plot_Z() to make plots.</br>\nEach function takes inputs $n$ and $m$. </br>\n$n$ is the radial order. </br>\n$m$ is the Azimuthal Frequency."
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": "Contour Plot"
},
{
"cell_type": "code",
"collapsed": false,
"input": "test = Zernike()\ntest.contour_plot_Z(6,0)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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FDPn5CnrKOtBTUruFPZX10TudDi677DK8733vy4W7K1avXo3Vq1dj8+bNAIDLL78cN998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\nba1fktxGvYY1vZ+dx7JDdmyVV9P6hCD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p92bjUDFaZZJElEVJaPm+OTFv3hl3kAqaMjGs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WzevBn/8i//Mpmn2FWl+T/L2hw9enTSznGylOZaKIqCl156CUNDQ/jSl76E3/zmN5N9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\n",
"text": "<matplotlib.figure.Figure at 0x6075860>"
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": "Surface Plot"
},
{
"cell_type": "code",
"collapsed": false,
"input": "test = Zernike()\ntest.surface_plot_Z(6,0)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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sIZR2Ib8dNzdCvS+lLk8i1jwX8zmXIRafhDRN3Ed+it50B9YZr2rdj5S+iJZy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\nJyMjIyMTVvw/Yphn0bC2pWMAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x63b9898>"
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The rest of this code will be done outside of the iPython notebook."
}
],
"metadata": {}
}
]
}
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