{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "znzSo4wE5fes"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/IrisFDTD/DSF-UNIZAR/blob/main/dsf_propuesta-3_spp.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 - Dispersion relation of Surface Plasmon Polaritons**\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "P33Z_lida5D1"
   },
   "source": [
    "This Jupyter notebook enables the characterization of the optical properties of Surface Plasmon Polaritons (SPPs) for any metal whose dielectric constant has been previously fitted to a Drude-Lorentz model. It provides an easy calculation of the SPP wavelength, skin depth, and propagation constant.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qiUMGbDlNZ2e"
   },
   "source": [
    "# SPP definitions ($\\varepsilon_{silver}$, $k_{spp}$, $\\lambda_{spp}$, skin-depth and propagation length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "executionInfo": {
     "elapsed": 255,
     "status": "ok",
     "timestamp": 1739893245903,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "dWiOfDskZ8s3"
   },
   "outputs": [],
   "source": [
    "'''\n",
    "Optical properties of SPPs at the metal/dielectric interface\n",
    "'''\n",
    "import numpy as np\n",
    "\n",
    "flw = 1239.8283  # Conversion from nm to eV and vice versa\n",
    "\n",
    "def kspp(omega,eps_cover,eps_metal):\n",
    "    '''\n",
    "    SPP wavevector\n",
    "    omega in eV\n",
    "    '''\n",
    "    return (2 * np.pi)*omega/ flw * np.sqrt((eps_cover * eps_metal(omega)) / (eps_cover + eps_metal(omega)))\n",
    "\n",
    "def wavelength_spp(kspp):\n",
    "    # SPP wavelength\n",
    "    return (2 * np.pi) / np.real(kspp)\n",
    "\n",
    "def wavelength_spp(ksp):\n",
    "    # SPP wavelength\n",
    "    return (2 * np.pi) / np.real(ksp)\n",
    "\n",
    "def skin_depth(eps_metal, ko, kspp):\n",
    "    # SPP skin depth\n",
    "    return 1 / np.abs(np.imag(np.sqrt(eps_metal * ko**2 - kspp**2)))\n",
    "\n",
    "def propagation_length(kspp):\n",
    "    # SPP propagation length\n",
    "    return 1 / (2 * np.abs(np.imag(kspp)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xliFU1tsrnDs"
   },
   "source": [
    "# Optical properties of silver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "executionInfo": {
     "elapsed": 217,
     "status": "ok",
     "timestamp": 1739893259148,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "4cALlc-SrYGs"
   },
   "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))\n",
    "\n",
    "eps_cover = 1.0  # Dielectric constant of dielectic in contact with metal"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "zAHaQpIWkzoD"
   },
   "source": [
    "# Wavelength range"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "executionInfo": {
     "elapsed": 222,
     "status": "ok",
     "timestamp": 1739893275881,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "qKjBaxAwkzhS"
   },
   "outputs": [],
   "source": [
    "lambda0=400.0;lambdaf=2000.0;Nlambda=500 # wavelength in nm\n",
    "wlength=np.linspace(lambda0,lambdaf,Nlambda)\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": 59,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 451
    },
    "executionInfo": {
     "elapsed": 305,
     "status": "ok",
     "timestamp": 1739893276835,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "x68fbVbQcUYb",
    "outputId": "0ba43156-f75a-4ea0-93f1-0c91f640571f"
   },
   "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": "rsiiANaEkfyi"
   },
   "source": [
    "# Surface Plasmon dispersion relation ($k_{spp}$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 892
    },
    "executionInfo": {
     "elapsed": 797,
     "status": "ok",
     "timestamp": 1739893279467,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "X7kTOX2akfoa",
    "outputId": "ca5b48f9-1749-4cdd-dc14-63572bba606b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Values\n",
    "kspp_=kspp(omega,eps_cover,epsilon_ag)\n",
    "re_kspp=np.real(kspp_)\n",
    "im_kspp=np.imag(kspp_)\n",
    "\n",
    "# Plotting Re(kspp)\n",
    "plt.plot(re_kspp,wlength[::-1],label=r'$Re(k_{spp})$')\n",
    "plt.xlabel(r'$k_{spp}(nm^{-1})$')\n",
    "plt.ylabel(r'$\\lambda (nm)$')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "# Plotting Im(kspp)\n",
    "plt.plot(wlength,im_kspp,label=r'$Im(k_{spp})$')\n",
    "plt.ylabel(r'$k_{spp}(nm^{-1})$')\n",
    "plt.xlabel(r'$\\lambda (nm)$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JHiO77VHqBgM"
   },
   "source": [
    "# SPP skin depth ($\\delta_{spp}$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 451
    },
    "executionInfo": {
     "elapsed": 299,
     "status": "ok",
     "timestamp": 1739893282045,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "xPQwFhsgqRgc",
    "outputId": "3a426ecb-c563-4ca0-9da0-4893d2dfa1c0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Values\n",
    "k0=2.0*np.pi/wlength\n",
    "skin_depth_=skin_depth(eps_metal,k0,kspp_)\n",
    "\n",
    "# Plotting skin-depth\n",
    "plt.plot(wlength,skin_depth_)\n",
    "plt.xlabel(r'$\\lambda (nm)$')\n",
    "plt.ylabel('skin-depth (nm)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "PXevQoIZqI_B"
   },
   "source": [
    "# SPP propagation length ($L_{spp}$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 451
    },
    "executionInfo": {
     "elapsed": 518,
     "status": "ok",
     "timestamp": 1739893283713,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -60
    },
    "id": "JzlgXEcEp9gF",
    "outputId": "7c6c65f0-b092-441e-ff10-37abd35ce519"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Values\n",
    "l_spp=propagation_length(kspp_)\n",
    "\n",
    "# Plotting skin-depth\n",
    "plt.plot(wlength,l_spp/1000.0)\n",
    "plt.xlabel(r'$\\lambda (nm)$')\n",
    "plt.ylabel('propagation length $(\\mu m)$')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "authorship_tag": "ABX9TyNPtNu2wQc1RkTqV+TvDHSa",
   "provenance": [],
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3",
   "name": "python3"
  },
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
