{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "znzSo4wE5fes"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/IrisFDTD/DSF-UNIZAR/blob/main/dsf_propuesta-2_mie_theory.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "tYZjdh8TvE7-"
   },
   "source": [
    "<a rel=\"license\" href=\"http://creativecommons.org/licenses/by-nc-sa/4.0/\"><img alt=\"Licencia Creative Commons\" style=\"border-width:0\" src=\"https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png\" /></a><br /><span xmlns:dct=\"http://purl.org/dc/terms/\" property=\"dct:title\"></span> The following notes written by  <span xmlns:cc=\"http://creativecommons.org/ns#\" property=\"cc:attributionName\">Sergio Gutiérrez Rodrigo (<sergut@unizar.es>) </span>. Distributed under  <a rel=\"license\" href=\"http://creativecommons.org/licenses/by-nc-sa/4.0/\">License Creative Commons Atribución-NoComercial-CompartirIgual 4.0 Internacional</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "j2H5UHGe1Uf8"
   },
   "source": [
    "```\n",
    "Departamento de Física Aplicada\n",
    "Universidad de Zaragoza\n",
    "Instituto de Nanociencia y Materiales de Aragón (INMA)\n",
    "C/ Pedro Cerbuna, 12, 50009, Zaragoza, España\n",
    "```\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "D7vYGeB21ZQU"
   },
   "source": [
    "---\n",
    "# **Photonic devices and systems - Mie scattering from a spherical particle**\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "96pWrhHgDqIu"
   },
   "source": [
    "# Mie scattering: main definitions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Ar3YhZ0B4nl0"
   },
   "source": [
    "![image.png](data:image/png;base64,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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "executionInfo": {
     "elapsed": 357,
     "status": "ok",
     "timestamp": 1739893605010,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "x9E7TM5UnPmT"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.special import jv, yv,jvp,yvp  # Bessel functions of the first and second kind and its derivatives\n",
    "\n",
    "# Bessel functions j and y\n",
    "def jn_norm(n, x):\n",
    "    return np.sqrt(np.pi / (2.0 * x)) * jv(n + 0.5, x)\n",
    "\n",
    "def yn_norm(n, x):\n",
    "    return np.sqrt(np.pi / (2.0 * x)) * yv(n + 0.5, x)\n",
    "\n",
    "# Complex Bessel function h1 and h2\n",
    "def h1(n, x):\n",
    "    return jn_norm(n, x) + 1j * yn_norm(n, x)\n",
    "\n",
    "def h2(n, x):\n",
    "    return jn_norm(n, x) - 1j * yn_norm(n, x)\n",
    "\n",
    "# psi and xi functions\n",
    "def psi(n, x):\n",
    "    return x * jn_norm(n, x)\n",
    "\n",
    "def xi(n, x):\n",
    "    return x * h1(n, x)\n",
    "\n",
    "# Derivatives of psi and xi using scipy.special for derivatives of Bessel functions\n",
    "def psidev(n, x):\n",
    "    dev=np.sqrt(x)*jvp(n + 0.5, x,1)+0.5*jv(n+0.5,x)/np.sqrt(x)\n",
    "    return np.sqrt(np.pi /2.0) *dev\n",
    "\n",
    "def xidev(n, x):\n",
    "    dev=np.sqrt(x)*(jvp(n + 0.5, x,1) + 1j * yvp(n + 0.5, x,1))+\\\n",
    "        0.5*(jv(n+0.5, x) + 1j * yv(n+0.5, x))/np.sqrt(x)\n",
    "    return np.sqrt(np.pi /2.0) *dev\n",
    "\n",
    "# a function\n",
    "def a(n, x, m):\n",
    "    term1 = m * psi(n, m * x) * psidev(n, x) - psi(n, x) * psidev(n, m * x)\n",
    "    term2 = m * psi(n, m * x) * xidev(n, x) - xi(n, x) * psidev(n, m * x)\n",
    "    return term1 / term2\n",
    "\n",
    "# b function\n",
    "def b(n, x, m):\n",
    "    term1 = psi(n, m * x) * psidev(n, x) - m * psi(n, x) * psidev(n, m * x)\n",
    "    term2 = psi(n, m * x) * xidev(n, x) - m * xi(n, x) * psidev(n, m * x)\n",
    "    return term1 / term2\n",
    "\n",
    "# Qsca function\n",
    "def Qsca_n(n, w, r,eps_w,n_med):\n",
    "    M=np.sqrt(eps_w) / n_med\n",
    "    X_wr = (2.0 * np.pi * w * r * n_med) / 1239.8283 # k*r\n",
    "    return (2.0 / X_wr**2) * (2.0 * n + 1.0) * (np.abs(a(n, X_wr, M))**2 + np.abs(b(n, X_wr, M))**2)\n",
    "\n",
    "# Qsca function (sum over n)\n",
    "def Qsca(w, r, J,eps_w,n_med):\n",
    "    return sum(Qsca_n(n, w, r,eps_w,n_med) for n in range(1, J+1))\n",
    "\n",
    "# Qext function\n",
    "def Qext_n(n, w, r,eps_w,n_med):\n",
    "    M=np.sqrt(eps_w) / n_med\n",
    "    X_wr = (2.0 * np.pi * w * r * n_med) / 1239.8283 # k*r\n",
    "    return (2.0 / X_wr**2) * (2.0 * n + 1.0) * np.real(a(n, X_wr, M) + b(n, X_wr, M))\n",
    "\n",
    "# Qext function (sum over n)\n",
    "def Qext(w, r, J,eps_w,n_med):\n",
    "    return sum(Qext_n(n, w, r,eps_w,n_med) for n in range(1, J+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CSLHzJ77fRCn"
   },
   "source": [
    "# Optical properties of silver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "executionInfo": {
     "elapsed": 360,
     "status": "ok",
     "timestamp": 1739893607967,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "CfBzTHNe1s0n"
   },
   "outputs": [],
   "source": [
    "'''\n",
    "Definition of metal and substrate dielectric constants\n",
    "'''\n",
    "def epsilon_ag(omega):\n",
    "    '''\n",
    "    Drude-Lorentz dielectric function for Silver\n",
    "    omega in eV\n",
    "    '''\n",
    "    epsilon_r = 4.1\n",
    "    omega_p = 9.5  # eV\n",
    "    gamma = 0.025  # eV\n",
    "    lambda_epsilon = 1.0\n",
    "    capital_omega = 5.5  # eV\n",
    "    capital_gamma = 0.8  # eV\n",
    "    return (epsilon_r - omega_p**2 / (omega * (omega + 1j * gamma)) -\n",
    "            lambda_epsilon * capital_omega**2 / (omega**2 - capital_omega**2 + 1j * omega * capital_gamma))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "9tMovjbIeLNQ"
   },
   "source": [
    "# Wavelength range"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "executionInfo": {
     "elapsed": 348,
     "status": "ok",
     "timestamp": 1739893725974,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "DmAXBw8mvHDs"
   },
   "outputs": [],
   "source": [
    "lambda0=400.0;lambdaf=2000.0;Nlambda=500 # wavelength in nm\n",
    "wlength=np.linspace(lambda0,lambdaf,Nlambda)\n",
    "flw = 1239.8283  # Conversion from nm to eV and vice versa\n",
    "omega=flw/wlength # omega in eV"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "k50wKv89eLdD"
   },
   "source": [
    "# Plotting the dielectric constant of silver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 451
    },
    "executionInfo": {
     "elapsed": 551,
     "status": "ok",
     "timestamp": 1739893727052,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "x68fbVbQcUYb",
    "outputId": "b2670fb8-6596-4d7c-88ce-aad7c4a37157"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "# Values\n",
    "eps_metal=epsilon_ag(omega)\n",
    "re_eps=np.real(eps_metal)\n",
    "im_eps=np.imag(eps_metal)\n",
    "\n",
    "# Plotting\n",
    "plt.plot(wlength,re_eps,label=r'$Re(\\varepsilon)$')\n",
    "plt.plot(wlength,im_eps,label=r'$Im(\\varepsilon)$')\n",
    "plt.xlabel(r'$\\lambda (nm)$')\n",
    "plt.ylabel(\"Relative dielectric constant\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ZzTq_kY7TBH5"
   },
   "source": [
    "# Mie scattering coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 328
    },
    "executionInfo": {
     "elapsed": 2889,
     "status": "ok",
     "timestamp": 1739894067693,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "lTSPucsLOZjc",
    "outputId": "2196641c-e051-4ac7-dfa9-0aa3f7ae4255"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Surrounding medium\n",
    "n_med=1.38\n",
    "\n",
    "# Radious in nm\n",
    "radius = 90.0\n",
    "J=10\n",
    "\n",
    "# Mie scattering calculation\n",
    "sca,ext,abs=[],[],[]\n",
    "for i, wl in enumerate(wlength):\n",
    "    w= flw/wl\n",
    "    sca.append(Qsca(w, radius, J,eps_metal[i],n_med))\n",
    "    ext.append(Qext(w, radius, J,eps_metal[i],n_med))\n",
    "    abs.append(ext[i]-sca[i])\n",
    "\n",
    "# Plotting\n",
    "fig, ax = plt.subplots(1, 3, figsize=(12, 6))\n",
    "ax[0].plot(wlength, sca, label=f\"{r} nm\", lw=2)\n",
    "ax[1].plot(wlength, abs, label=f\"{r} nm\", lw=2)\n",
    "ax[2].plot(wlength, ext, label=f\"{r} nm\", lw=2)\n",
    "\n",
    "for i in range(0, len(ax)):\n",
    "    ax[i].set_xlim(np.min(wlength),np.max(wlength))\n",
    "    ax[i].set_xlabel(r'$\\lambda(nm)$')\n",
    "    ax[i].legend()\n",
    "\n",
    "ax[0].set_ylabel(r'Scattering')\n",
    "ax[1].set_ylabel(r'Absorption')\n",
    "ax[2].set_ylabel(r'Exctinction')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": [
    {
     "file_id": "1RDc21TnIt3vsc3LgKJJAOhOpDiYI0Kck",
     "timestamp": 1732534344874
    },
    {
     "file_id": "1HLJCzTifQ-QrzMvcYn1A7rTWjqy6zuE4",
     "timestamp": 1732188059193
    },
    {
     "file_id": "1OJbr7bAKIz871W8MfSe7aTYNFJTy5VYF",
     "timestamp": 1712046943589
    },
    {
     "file_id": "1YcN9LUdnqy_QaoKy50Ze6v9a-t0r7Fu4",
     "timestamp": 1705306995793
    }
   ],
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
