{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-08-21T11:55:56.429448Z", "start_time": "2018-08-21T11:55:56.161112Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import PyMieScatt as ps\n", "import matplotlib.pyplot as plt\n", "from scattnlay import scattnlay, fieldnlay" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-08-21T11:55:59.550395Z", "start_time": "2018-08-21T11:55:59.369077Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#let us generate plots of the various quantities as a function of kr parameter\n", "#this has been verified with the following source\n", "#http://www.thermopedia.com/content/956/ (see figure 1)\n", "\n", "#[1] O. Peña and U. Pal, \"Scattering of electromagnetic radiation by a multilayered sphere,\" \n", "#Computer Physics Communications, vol. 180, Nov. 2009, pp. 2348-2354.\n", "# [2] K. Ladutenko, U. Pal, A. Rivera and O. Peña-Rodríguez, \"Mie calculation of \n", "#electromagnetic near-field for a multilayered sphere,\" Computer Physics Communications, vol. 214, May 2017, pp. 225-230.\n", "\n", "num_pts = 1000\n", "kr = np.ones((num_pts, 1), dtype = np.float64) \n", "kr[:,0] = np.linspace(0.25,10, num_pts)\n", "\n", "dia = 2000\n", "\n", "m_water = kr - kr + 1.33 + 0*1j\n", "m_glass = kr - kr + 1.45 + 0*1j\n", "\n", "\n", "terms, Qext_water, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m_water)\n", "terms, Qext_glass, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m_glass)\n", "\n", "#qext_water = [ps.MieQ(1.33,np.pi*(dia/ind), dia)[0] for ind in kr]\n", "#qext_glass = [ps.MieQ(1.5,np.pi*(dia/ind), dia)[0] for ind in kr]\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.set_xlabel('kr')\n", "ax.set_ylabel('Extinction Efficiency')\n", "plt.plot(kr,Qext_water, label='water')\n", "plt.plot(kr,Qext_glass, label='glass')\n", "\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", "\n", "\n", "#All these plots have no units, it is the ratio of the actual cross section to the physical area. \n", "# noticing that the kr parameter is an abstraction, we will train the network for extinction efficiency as \n", "# a function of wavelength (not kr!). \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-08-21T11:56:04.269035Z", "start_time": "2018-08-21T11:56:04.001070Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#let us load the dispersion data of some standard materials here\n", "\n", "# ./materials/gold.dat\n", "# Gold P. B. Johnson and R. W. Christy. Optical constants of the noble metals, Phys. Rev. B 6, 4370-4379 (1972)\n", "\n", "# ./materials/silicon.dat\n", "# Silicon M. A. Green. Self-consistent optical parameters of intrinsic silicon at \n", "# 300K including temperature coefficients, Sol. Energ. Mat. Sol. Cells 92, 1305–1310 (2008)\n", "\n", "# ./materials/silica.dat\n", "#I. H. Malitson. Interspecimen comparison of the refractive index of fused silica, J. Opt. Soc. Am. 55, 1205-1208 (1965)\n", "\n", "# ./materials/tio2.dat\n", "#T. Siefke, S. Kroker, K. Pfeiffer, O. Puffky, K. Dietrich, D. Franta, I. Ohlídal, A. Szeghalmi, E.-B. Kley, A. Tünnermann. Materials pushing the application limits of wire grid polarizers further into the deep ultraviolet spectral range, Adv. Opt. Mater. 4, 1780–1786 (2016)\n", "\n", "\n", "from scipy import interpolate\n", "\n", "def get_nk(datafile, wavelengths):\n", " \"\"\"Reads the given file and returns the n+ik complex at\n", " the given wavelength after suitable interpolation\n", " :datafile: TODO\n", " :wavelength: TODO\n", " :returns: TODO\n", " \"\"\"\n", " rawdisp = np.loadtxt(datafile)\n", " f_r = interpolate.interp1d(rawdisp[:,0], rawdisp[:,1])\n", " f_i = interpolate.interp1d(rawdisp[:,0], rawdisp[:,2])\n", " return f_r(wavelengths) + 1j*f_i(wavelengths)\n", "\n", "lams = np.linspace(400, 1200,100)\n", "nk_gold = get_nk('./materials/silver.dat', lams)\n", "nk_si = get_nk('./materials/gold.dat', lams)\n", "nk_sio2 = get_nk('./materials/silica.dat', lams)\n", "nk_tio2 = get_nk('./materials/tio2.dat', lams)\n", "\n", "#make a materials dictionary\n", "matsdict = {\n", " 1: './materials/gold.dat',\n", " 2: './materials/silicon.dat',\n", " 3: './materials/silica.dat',\n", " 4: './materials/tio2.dat',\n", " 5: './materials/silver.dat'\n", "}\n", "\n", "fig = plt.figure(figsize=(15,3))\n", "\n", "ax = fig.add_subplot(141)\n", "ax.set_title('gold')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, np.real(nk_gold))\n", "plt.plot(lams, np.imag(nk_gold))\n", "\n", "ax = fig.add_subplot(142)\n", "ax.set_title('silicon')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, np.real(nk_si))\n", "plt.plot(lams, np.imag(nk_si))\n", "\n", "ax = fig.add_subplot(143)\n", "ax.set_title('silica')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, np.real(nk_sio2))\n", "plt.plot(lams, np.imag(nk_sio2))\n", "\n", "ax = fig.add_subplot(144)\n", "ax.set_title('titania')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, np.real(nk_tio2), label='n')\n", "plt.plot(lams, np.imag(nk_tio2), label='k')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2018-08-21T11:56:08.574373Z", "start_time": "2018-08-21T11:56:08.234683Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now we will see the various quantities for a similiarly sized homogenous sphere made of different materials \n", "num_pts = 1000\n", "dia = 350\n", "lam_min = 400\n", "lam_max = 1200\n", "\n", "\n", "lams = np.linspace(lam_min, lam_max, num_pts)\n", "kr = np.ones((num_pts, 1), dtype = np.float64) \n", "m = kr -kr + 0 + 0*1j\n", "kr[:,0] = np.pi*dia/lams\n", "\n", "fig = plt.figure(figsize=(15,3))\n", "\n", "#gold\n", "m[:,0] = get_nk('./materials/gold.dat', lams)\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m)\n", "ax = fig.add_subplot(141)\n", "ax.set_title('gold')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, Qsca)\n", "plt.plot(lams, Qabs)\n", "plt.plot(lams, Qext)\n", "\n", "#silicon\n", "m[:,0] = get_nk('./materials/silicon.dat', lams)\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m)\n", "ax = fig.add_subplot(142)\n", "ax.set_title('silicon')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, Qsca)\n", "plt.plot(lams, Qabs)\n", "plt.plot(lams, Qext)\n", "\n", "#silica\n", "m[:,0] = get_nk('./materials/silica.dat', lams)\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m)\n", "ax = fig.add_subplot(143)\n", "ax.set_title('silica')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, Qsca)\n", "plt.plot(lams, Qabs)\n", "plt.plot(lams, Qext)\n", "\n", "#silica\n", "m[:,0] = get_nk('./materials/tio2.dat', lams)\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m)\n", "ax = fig.add_subplot(144)\n", "ax.set_title('titania')\n", "ax.set_xlabel('Wavelength (nm)')\n", "plt.plot(lams, Qsca, label='Sca')\n", "plt.plot(lams, Qabs, label='Abs')\n", "plt.plot(lams, Qext, label='Ext')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2018-08-21T11:56:13.585561Z", "start_time": "2018-08-21T11:56:13.133967Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#explore the angular dependence of scattering for various sizes and materials\n", "\n", "dia = 350\n", "kr = np.ones((1, 1), dtype = np.float64) \n", "m = kr -kr + 0 + 0*1j \n", "theta = np.arange(0.0, 180.25, 0.25, dtype = np.float64)*np.pi/180.0\n", "fig1 = plt.figure(figsize=(10,6))\n", "\n", "\n", "#gold\n", "lam_res = 805\n", "kr[:,0] = np.pi*dia/lam_res\n", "nkval = get_nk('./materials/gold.dat', lam_res)\n", "m[:,0] = nkval\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m, theta)\n", "per = np.abs(S1).transpose()\n", "par = np.abs(S2).transpose()\n", "ax1 = fig1.add_subplot(2,2,1)\n", "ax1.plot(theta*180/np.pi,par,'b',ls='dashdot',lw=1,label=\"Parallel Polarization\")\n", "ax1.plot(theta*180/np.pi,per,'r',ls='dashed',lw=1,label=\"Perpendicular Polarization\")\n", "x_label = [\"0\", r\"$\\mathregular{\\frac{\\pi}{4}}$\", r\"$\\mathregular{\\frac{\\pi}{2}}$\",r\"$\\mathregular{\\frac{3\\pi}{4}}$\",r\"$\\mathregular{\\pi}$\"]\n", "x_tick = [0,45, 90, 135, 180]\n", "ax1.set_xticks(x_tick)\n", "ax1.set_xticklabels(x_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='in')\n", "ax1.set_xlabel(\"ϴ\",fontsize=16)\n", "ax1.set_ylabel(r\"Intensity ($\\mathregular{|S|^2}$)\",fontsize=16,labelpad=10)\n", "ax1.set_title('gold')\n", "\n", "#silicon\n", "lam_res = 1050\n", "kr[:,0] = np.pi*dia/lam_res\n", "nkval = get_nk('./materials/silicon.dat', lam_res)\n", "m[:,0] = nkval\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m, theta)\n", "ver = np.abs(S1).transpose()\n", "hor = np.abs(S2).transpose()\n", "ax1 = fig1.add_subplot(2,2,2)\n", "ax1.plot(theta*180/np.pi,hor,'b',ls='dashdot',lw=1,label=\"Parallel Polarization\")\n", "ax1.plot(theta*180/np.pi,ver,'r',ls='dashed',lw=1,label=\"Perpendicular Polarization\")\n", "x_label = [\"0\", r\"$\\mathregular{\\frac{\\pi}{4}}$\", r\"$\\mathregular{\\frac{\\pi}{2}}$\",r\"$\\mathregular{\\frac{3\\pi}{4}}$\",r\"$\\mathregular{\\pi}$\"]\n", "x_tick = [0,45, 90, 135, 180]\n", "ax1.set_xticks(x_tick)\n", "ax1.set_xticklabels(x_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='in')\n", "ax1.set_xlabel(\"ϴ\",fontsize=16)\n", "ax1.set_ylabel(r\"Intensity ($\\mathregular{|S|^2}$)\",fontsize=16,labelpad=10)\n", "ax1.set_title('silicon')\n", "\n", "#silica\n", "lam_res = 575\n", "kr[:,0] = np.pi*dia/lam_res\n", "nkval = get_nk('./materials/silica.dat', lam_res)\n", "m[:,0] = nkval\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m, theta)\n", "ver = np.abs(S1).transpose()\n", "hor = np.abs(S2).transpose()\n", "ax1 = fig1.add_subplot(2,2,3)\n", "ax1.plot(theta*180/np.pi,hor,'b',ls='dashdot',lw=1,label=\"Parallel Polarization\")\n", "ax1.plot(theta*180/np.pi,ver,'r',ls='dashed',lw=1,label=\"Perpendicular Polarization\")\n", "x_label = [\"0\", r\"$\\mathregular{\\frac{\\pi}{4}}$\", r\"$\\mathregular{\\frac{\\pi}{2}}$\",r\"$\\mathregular{\\frac{3\\pi}{4}}$\",r\"$\\mathregular{\\pi}$\"]\n", "x_tick = [0,45, 90, 135, 180]\n", "ax1.set_xticks(x_tick)\n", "ax1.set_xticklabels(x_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='in')\n", "ax1.set_xlabel(\"ϴ\",fontsize=16)\n", "ax1.set_ylabel(r\"Intensity ($\\mathregular{|S|^2}$)\",fontsize=16,labelpad=10)\n", "ax1.set_title('silica')\n", "\n", "#titania\n", "lam_res = 600\n", "kr[:,0] = np.pi*dia/lam_res\n", "nkval = get_nk('./materials/tio2.dat', lam_res)\n", "m[:,0] = nkval\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m, theta)\n", "ver = np.abs(S1).transpose()\n", "hor = np.abs(S2).transpose()\n", "ax1 = fig1.add_subplot(2,2,4)\n", "ax1.plot(theta*180/np.pi,hor,'b',ls='dashdot',lw=1,label=\"Parallel Polarization\")\n", "ax1.plot(theta*180/np.pi,ver,'r',ls='dashed',lw=1,label=\"Perpendicular Polarization\")\n", "x_label = [\"0\", r\"$\\mathregular{\\frac{\\pi}{4}}$\", r\"$\\mathregular{\\frac{\\pi}{2}}$\",r\"$\\mathregular{\\frac{3\\pi}{4}}$\",r\"$\\mathregular{\\pi}$\"]\n", "x_tick = [0,45, 90, 135, 180]\n", "ax1.set_xticks(x_tick)\n", "ax1.set_xticklabels(x_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='in')\n", "ax1.set_xlabel(\"ϴ\",fontsize=16)\n", "ax1.set_ylabel(r\"Intensity ($\\mathregular{|S|^2}$)\",fontsize=16,labelpad=10)\n", "ax1.set_title('titania')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", "\n", "\n", "plt.tight_layout(pad=1.08, h_pad=None, w_pad=None, rect=None)\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2018-08-21T11:56:24.058090Z", "start_time": "2018-08-21T11:56:21.120007Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#now let us plot simultaneously over wavelengths and angles\n", "from pylab import figure, cm\n", "from matplotlib.colors import LogNorm\n", "\n", "\n", "\n", "dia = 270\n", "num_pts = 1000\n", "lam_min = 400\n", "lam_max = 1200\n", "\n", "fig1 = plt.figure(figsize=(10,6))\n", "\n", "lams = np.linspace(lam_min, lam_max, num_pts)\n", "kr = np.ones((num_pts, 1), dtype = np.float64) \n", "m = kr -kr + 0 + 0*1j\n", "\n", "\n", "kr[:,0] = np.pi*dia/lams\n", "m[:,0] = get_nk('./materials/silicon.dat', lams)\n", "theta = np.linspace(0.0, 180, num_pts, dtype = np.float64)*np.pi/180.0\n", "\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m, theta)\n", "\n", "per = np.abs(S1).transpose()\n", "par = np.abs(S2).transpose()\n", "\n", "\n", "ax1 = fig1.add_subplot(1,2,1)\n", "plt.imshow(per, cmap='hot')\n", "#ax1.matshow(per, cmap=cm.gray_r, norm=LogNorm(vmin=0.01, vmax=1))\n", "y_label = [\"0\", r\"$\\mathregular{\\frac{\\pi}{4}}$\", r\"$\\mathregular{\\frac{\\pi}{2}}$\",r\"$\\mathregular{\\frac{3\\pi}{4}}$\",r\"$\\mathregular{\\pi}$\"]\n", "y_tick = [0, 250, 500, 750, 1000]\n", "ax1.set_yticks(y_tick)\n", "ax1.set_yticklabels(y_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='out')\n", "ax1.set_ylabel(\"ϴ\",fontsize=16)\n", "x_label = ['400', '600','800', '1000','1200']\n", "x_tick = [0,250, 500, 750, 1000]\n", "ax1.set_xticks(x_tick)\n", "ax1.set_xticklabels(x_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='out')\n", "ax1.set_xlabel(\"Wavelength (nm)\",fontsize=16)\n", "ax1.set_title('Perpendicular Pol')\n", "plt.colorbar(orientation ='horizontal')\n", "\n", "ax1 = fig1.add_subplot(1,2,2)\n", "plt.imshow(par, cmap='hot')\n", "y_label = [\"0\", r\"$\\mathregular{\\frac{\\pi}{4}}$\", r\"$\\mathregular{\\frac{\\pi}{2}}$\",r\"$\\mathregular{\\frac{3\\pi}{4}}$\",r\"$\\mathregular{\\pi}$\"]\n", "y_tick = [0, 250, 500, 750, 1000]\n", "ax1.set_yticks(y_tick)\n", "ax1.set_yticklabels(y_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='out')\n", "ax1.set_ylabel(\"ϴ\",fontsize=16)\n", "x_label = ['400', '600','800', '1000','1200']\n", "x_tick = [0,250, 500, 750, 1000]\n", "ax1.set_xticks(x_tick)\n", "ax1.set_xticklabels(x_label,fontsize=14)\n", "ax1.tick_params(which='both',direction='out')\n", "ax1.set_xlabel(\"Wavelength (nm)\",fontsize=16)\n", "ax1.set_title('Parallel Pol')\n", "plt.colorbar(orientation ='horizontal')\n", "\n", "plt.tight_layout(pad=1.08, h_pad=None, w_pad=None, rect=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are some papers that talk of multilayered nanoparticles\n", "\n", "F. Monticone and A. Alù, \"Multi-layered plasmonic cloaks to engineer the scattering signature of resonant nanoparticles,\" Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation, Chicago, IL, 2012, pp. 1-2. https://ieeexplore.ieee.org/document/6349265/\n", "\n", "Kalele, Suchita, et al. \"Synthesis and characterization of silica—titania core—shell particles.\" Pramana 65.5 (2005): 787-791.\n", "\n", "Mayya, K. Subramanya, David I. Gittins, and Frank Caruso. \"Gold− titania core− shell nanoparticles by polyelectrolyte complexation with a titania precursor.\" Chemistry of materials 13.11 (2001): 3833-3836.\n", "\n", "Voshchinnikov, Nikolai V., and John S. Mathis. \"Calculating cross sections of composite interstellar grains.\" The Astrophysical Journal 526.1 (1999): 257.\n", " Wu Z.P., Wang Y.P.\n", "\n", "Electromagnetic scattering for multilaered spheres: recursive algorithms\n", "Radio Science 1991. V. 26. P. 1393-1401.\n", "(note that this method has a problem when kr > 20, i.e. in the limit of very very large particles)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2018-08-22T14:53:29.123166Z", "start_time": "2018-08-22T14:53:28.989807Z" }, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[70, 70, 70, 70, 30, 30, 30, 30]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make a function that will return the x and m matrices of \n", "# any given multilayered spherical particle\n", "# these can then be passed on to scattnlay\n", "def make_xm(sizes, mats, lams):\n", " x = np.ones((len(lams), len(sizes)), dtype = np.float64)\n", " m = x - x + 0 + 0*1j\n", " sizes = np.cumsum(sizes)\n", " for s, size in enumerate(sizes):\n", " x[:,s] = np.pi*size/lams\n", " m[:,s] = get_nk(matsdict[mats[s]], lams)\n", " theta = np.linspace(0.0, 180, num_pts, dtype = np.float64)*np.pi/180.0\n", " return x, m, theta\n", "\n", "fig1 = plt.figure(figsize=(8,4))\n", "\n", "\n", "# mutilayered \n", "size_min = 30\n", "size_max = 70\n", "\n", "size = [70, 70, 70, 70, 30, 30, 30, 30] # each layer thickness\n", "\n", "\n", "#size = np.array(np.random.randint(size_min,size_max,8))\n", "print(size)\n", "mats = [3, 4, 3, 4, 3, 4, 3, 4] # 2 - silicon, silicon.dat, 1 - gold, gold.dat \n", " # 3 - silica, silica.dat, 4 - titania, tio2.dat \n", "num_pts = 250\n", "lam_min = 300\n", "lam_max = 1200\n", "lams = np.linspace(lam_min, lam_max, num_pts) \n", "theta = np.linspace(0.0, 180, num_pts, dtype = np.float64)*np.pi/180.0\n", "\n", "kr, m, theta = make_xm(size, mats, lams)\n", "terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m)\n", "\n", "ax = fig1.add_subplot(1,1,1)\n", "ax.set_title('silica coated gold')\n", "ax.set_xlabel('Wavelength (nm)')\n", "#plt.plot(lams, Qsca, label='Sca')\n", "#plt.plot(lams, Qabs, label='Abs')\n", "plt.plot(lams, Qext, label='Ext')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", "np.savetxt('qestsave.txt', Qext)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "\n", "# Now we need to create a dataset and save it to disk\n", "import h5py\n", "dataset_size = 5\n", "\n", "# parameters of the dataset\n", "num_layers = 8\n", "num_lpoints = 250\n", "lam_min = 300\n", "lam_max = 1200\n", "size_min = 30\n", "size_max = 70\n", "\n", "mats = [3, 4, 3, 4, 3, 4, 3, 4] # 2 - silicon, silicon.dat, 1 - gold, gold.dat \n", " # 3 - silica, silica.dat, 4 - titania, tio2.dat \n", "#generate a huge array and then reshape\n", "dataset_X = np.random.randint(size_min,size_max,num_layers*dataset_size).astype(float).reshape(dataset_size, num_layers)\n", "lams = np.linspace(lam_min, lam_max, num_lpoints) \n", "dataset_Y = np.zeros((dataset_size,num_lpoints))\n", "\n", "for ind in np.arange(dataset_size):\n", " kr, m, theta = make_xm(dataset_X[ind,:], mats, lams)\n", " terms, dataset_Y[ind,:], Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2 = scattnlay(kr, m)\n", " \n", "\n", "h5f = h5py.File('scatter8.h5', 'w')\n", "h5f.create_dataset('sizes', data=dataset_X)\n", "h5f.create_dataset('spectrum', data=dataset_Y)\n", "h5f.close()\n" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }