{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "w8GkUsZ_5y5C"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/IrisFDTD/OPTICS-UNIZAR/blob/main/Topic_1/chapter1_path_of_light.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",
    "# **Óptica - Tema 1- Fermat's principle, Lagrangian optics and the ray equation**\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hBHaUadBCvkx"
   },
   "source": [
    "La ecuación de la Eikonal, formulada por primera vez por William Rowan Hamilton en 1831, se empleada en numerosos campos dentro de la ciencia y la ingeniería. Su origen se encuentra tanto en la teoría de propagación de ondas como en la óptica geométrica. Obteniendo sus soluciones seremos capaces de conocer las trayectorias de los rayos en cualquier tipo de medio, independientemente de lo complejo que sea.\n",
    "\n",
    "La trayectoria de un rayo en un medio óptico es una geodésica, cuyas características dependerán del índice de refracción ($n$). En un medio homogéneo, es decir donde $n=\\text{cte}$, los rayos serán líneas rectas. Sin embargo, nos centraremos en sistemas ópticos donde el índice de refracción cambia de forma continua con las direcciones del espacio provocando desviaciones en los rayos.\n",
    "\n",
    "En un ámbito puramente geométrico, las geodésicas se definen como el camino de mínima distancia entre un número finito de puntos pertenecientes a una superficie. Sin embargo, Fermat dedujo que en óptica las curvas que definían los rayos eran caminos que aseguraban el mínimo tiempo transcurrido para ir de un punto a otro. Este último resultado puede ser reformulado como un problema de cálculo variacional, donde el rayo entre dos puntos A y B será aquel para el cual el tiempo transcurrido ($\\tau$) sea un extremo:\n",
    "\n",
    "El camino óptico se define como:\n",
    "\n",
    "$$\\mathcal{L} = \\int_A^B n \\, ds$$\n",
    "\n",
    "Principio de Fermat:\n",
    "\n",
    "$$\\delta \\mathcal{L} = \\delta \\left( \\int_A^B n \\, ds \\right)=0$$\n",
    "\n",
    "Ya que $n=c/v$, el tiempo $\\tau$ es un funcional del camino óptico $n \\, ds$,\n",
    "\\begin{equation}\n",
    "    \\tau=\\int_A^B \\frac{ds}{v} \\rightarrow \\delta\\tau=0\n",
    "\\end{equation}\n",
    "\n",
    "que se conoce como *principio de mínima acción* donde $ds$ representa la longitud de arco. Esta última relación implica que el camino óptico es una variable estacionaria dentro de nuestro sistema, lo cual significa que es un máximo o un mínimo tal y como buscábamos.\n",
    "\n",
    "Podemos entonces deducir la ecuación de rayos empleando las ecuaciones de Euler-Lagrange.\n",
    "\n",
    "La longitud de arco $ds$ y la velocidad $v$ vienen definidas como:\n",
    "\\begin{equation}\n",
    "    ds=v dt=\\sqrt{x'^2+y'^2+z'^2} dt \\hspace{0.75cm} v=\\frac{c}{n}\n",
    "\\end{equation}\n",
    "donde se utiliza la notación $'$ para las derivadas temporales $d/dt$.\n",
    "\n",
    "Teniendo en cuenta que las variables espaciales en este caso dependen del tiempo. Introduciendo estas consideraciones podemos definir un lagrangiano mediante en cual derivaremos la ecuación de la Eikonal.\n",
    "\\begin{equation}\n",
    "    \\delta \\mathcal{L}=\\delta \\left( \\int_{t_1}^{t_2}n(x,y,z)\\sqrt{x'^2+y'^2+z'^2}dt\\right)=0  \n",
    "\\end{equation}\n",
    "\n",
    "$$\\implies L(x,x',y,y',z,z',t)=n(x,y,z)\\sqrt{x'^2+y'^2+z'^2}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mWoC0TgkgBYX"
   },
   "source": [
    "Ecuaciones de Euler-Lagrange aplicadas al lagrangiano óptico $L(x,x',y,y',z,z',t)=n(x,y,z)\\sqrt{x'^2+y'^2+z'^2}$:\n",
    "\n",
    "$$\\dfrac{\\partial L}{\\partial q_i}-\\dfrac{d}{dt}\\left( \\dfrac{\\partial L}{\\partial q_i'} \\right)=0$$\n",
    "\n",
    "Aquí $q_i=x,y,z$ , y $q_i'=x',y',z'$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BL-x595rhDXO"
   },
   "source": [
    "Entonces:\n",
    "\n",
    "$\n",
    "\\begin{equation}\n",
    "\\dfrac{\\partial L}{\\partial x}-\\dfrac{d}{dt}\\left( \\dfrac{\\partial L}{\\partial x'} \\right)=0 \\\\\n",
    "\\dfrac{\\partial L}{\\partial y}-\\dfrac{d}{dt}\\left( \\dfrac{\\partial L}{\\partial y'} \\right)=0 \\\\\n",
    "\\dfrac{\\partial L}{\\partial z}-\\dfrac{d}{dt}\\left( \\dfrac{\\partial L}{\\partial z'} \\right)=0\n",
    "\\end{equation}\n",
    "$\n",
    "\n",
    "Ya que $ds=\\sqrt{x'^2+y'^2+z'^2} dt$\n",
    "\n",
    "$$ \\rightarrow \\dfrac{\\partial L}{\\partial x}=v\\left( \\dfrac{\\partial n}{\\partial x} \\right)$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "supXjnDFipOs"
   },
   "source": [
    "$$ \\rightarrow \\dfrac{\\partial L}{\\partial x'}=n\\left( \\dfrac{x'}{\\sqrt{x'^2+y'^2+z'^2}} \\right)=\\dfrac{n}{v}\\dfrac{dx}{dt}=\\dfrac{n}{v}\\dfrac{dx}{ds}\\dfrac{ds}{dt}=n\\dfrac{dx}{ds}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "SMYt3pM3iwjG"
   },
   "source": [
    "Finalmente:\n",
    "\n",
    "$$\\rightarrow \\dfrac{d}{dt}\\left( n\\dfrac{d x}{ds}\\right)=\\dfrac{ds}{dt}\\dfrac{d}{ds}\\left( n\\dfrac{d x}{ds}\\right)=v\\dfrac{d}{ds}\\left( n\\dfrac{d x}{ds}\\right)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "KuAzxPYajSOH"
   },
   "source": [
    "Y por lo tanto:\n",
    "$$\\dfrac{\\partial n}{\\partial x}=\\dfrac{d}{ds}\\left( n\\dfrac{d x}{ds}\\right)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "MwHIDcZcgB3G"
   },
   "source": [
    "\n",
    "\n",
    "Empleando las ecuaciones de Euler-Lagrange al resto de componentes se llega a la ecuación de las trayectores de la ótica geométrica:\n",
    "\\begin{equation}\n",
    "    \\frac{d}{ds}\\left(n\\frac{d\\textbf{r}}{ds}\\right)=\\nabla n\n",
    "\\end{equation}\n",
    "donde  $\\textbf{r}=(x,y,z)$.\n",
    "\n",
    "La parte de la izquierda de la igualdad representa la curvatura del rayo, mientras que en el otro lado encontramos el gradiente del índice de refracción. En consecuencia, el rayo siempre se doblará hacia la región de máximo gradiente. Si consideramos un medio isótropo, el lado derecho sería igual a cero ya que $n$ no dependería de las direcciones del espacio, es por eso que las trayectorias son líneas rectas como se comentó anteriormente."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xLxwAxyEaGi3"
   },
   "source": [
    "# About waves and rays"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DLnpJ1fkaGZY"
   },
   "source": [
    "El momento $\\vec p$ se define a partir del lagrangiano $L$ como\n",
    "\n",
    "1. $p_i=\\dfrac{\\partial L}{\\partial x_i'}$ where $x_1 = x, x_2= y, x_3= z$\n",
    "2. Además $p_i=\\dfrac{\\partial L}{\\partial x_i'}=n\\dfrac{d x_i}{ds}$ para el lagrangiano óptico."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "5tr8rV81bBOH"
   },
   "source": [
    "3. $L=n\\dfrac{x_1'^2}{\\sqrt{x_1'^2+x_2'^2+x_3'^2}}+n\\dfrac{x_2'^2}{\\sqrt{x_1'^2+x_2'^2+x_3'^2}}+n\\dfrac{x_3'^2}{\\sqrt{x_1'^2+x_2'^2+x_3'^2}} \\implies L=\\vec v \\vec p$\n",
    "\n",
    "4. Usando (3) en $$\\mathcal{L} = \\int_A^B n \\, ds=\\int_A^B L(x_i,x_i',t) \\, dt$$\n",
    "Se llega a que $$\\mathcal{L} = \\int_A^B \\vec p \\,. d\\vec l$$\n",
    " + Se ha utilizado que $\\int_{t_1}^{t_2} p_i v_i dt=\\int_{t_1}^{t_2} p_i dx_i$*\n",
    " + $\\delta \\mathcal{L} = 0$ usando el momento se conoce como princpio de mínima acción (Maupertius).\n",
    "\n",
    "5. Otro resultado notable es que: $$\\dfrac{\\partial \\mathcal{L}}{\\partial x_i}=\\int \\dfrac{\\partial L}{\\partial x_i}\\, dt=\\int \\dfrac{d p_i}{d t}\\, dt=\\int dp_i=p_i$$\n",
    "Y por lo tanto $$\\vec p = \\nabla \\mathcal{L}$$\n",
    "  + $\\vec p$ es tangente a la trayectoria de la luz (los rayos) en cada punto\n",
    "  + $\\vec p$ es ortogonal a cualquier superficie $\\ni \\mathcal{L} =cte$ (respecto de una referencia), ya que el gradiente define superficies equipotenciales por ser conservativo $\\int_A^B \\nabla \\mathcal{L} \\, d\\vec l =\\mathcal{L}(B)-\\mathcal{L}(A)$, $\\implies \\int_C \\nabla \\mathcal{L} \\, d\\vec l =0 $ si $C \\in S \\, \\ni \\mathcal{L}(S)=cte$\n",
    "  + $\\vec p$ es un campo conservativo, ya que $\\int_A^B \\nabla \\mathcal{L} \\, d\\vec l =\\mathcal{L}(B)-\\mathcal{L}(A) \\, \\forall A,B$\n",
    "  +El camino óptico entre dos frentes de onda es el mismo para cualquier trayectoria seguida. Si $A$ y $B$ pertenecen a un frente de onda $S_1$ y, $C$ y $D$ pertenecen a un frente de onda $S_2 \\implies \\int_B^C n\\,ds=\\int_A^D n\\,ds$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "RFY-mSAfDcqx"
   },
   "source": [
    "## GRadient-INdex medium (GRIN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "93caMI-WDLxL"
   },
   "source": [
    "En esta sección mostraremos las ecuaciones a resolver mediante el uso de PINN para el caso de un medio GRIN, en particular una fibra óptica.\n",
    "\n",
    "Consideramos un índice de refracción cuadrático\n",
    "\\begin{equation}\n",
    "    n^2(x,y)=n_o^2\\left(1-g^2(x^2+y^2)\\right)\n",
    "\\end{equation}\n",
    "\n",
    "donde g será una constante real característica del medio y $n_o$ el índice de refracción en el eje de simetría ($z$).\n",
    "\n",
    "Se puede observar cómo $n(x,y)$ decrece conforme nos alejamos en dirección radial de este. Principalmente, resolveremos dos casos: uno dará lugar a una ecuación diferencial ordinaria y el último a dos ecuaciones diferenciales acopladas. Previamente motivaremos el interés de conocer las soluciones de esta ecuación con este particular índice de refracción."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CRCkngN9G0X7"
   },
   "source": [
    "Los medios no homogéneos han sido siempre de gran interés para aquellos que trabajan en campos de óptica puesto que son sistemas que se encuentran en la propia naturaleza. Las lentes del ojo humano y la atmósfera son claros ejemplos de estos. Además ofrecen grandes ventajas en cuanto a la construcción de instrumentos ópticos: reducción de tamaños, costes, peso...\n",
    "A la hora de crear un sistema óptico, el primer paso es construir un método adecuado para el trazado de rayos. El principio teórico de esta metodología es la ecuación de la Eikonal, puesto que permite la simulación de todo tipo de medios. En general, se suelen emplear aproximaciones de primer orden para estudiar las ecuaciones, es decir, rayos paraxiales (aquellos cuyas trayectorias forman ángulos pequeños con el eje óptico).\n",
    "\n",
    "Aunque la ecuación de rayos apareciese hace bastante tiempo, gracias a los nuevos desarrollos y estudios podemos considerar nuevas simetrías de forma eficiente e incluso en algunos casos podemos integrar la Eikonal casi de forma completa. Actualmente, uno de los grandes usos de este tipo de medios es la creación de fibras ópticas ya que transmiten la información de manera más eficiente. La curvatura de los rayos provoca que estos no se reflejen en las superficies de la fibra y por tanto las pérdidas disminuyen\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "G0cQH4caHDZK"
   },
   "source": [
    "# Forma aproximada"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Ld-v89DUHAOb"
   },
   "source": [
    "Considerando $g^2(x^2+y^2)\\ll 1$ podemos aproximar el índice de refracción empleando el desarrollo en serie de Taylor\n",
    "\n",
    "Desarrollo serie de Taylor:\n",
    "\\begin{equation}\n",
    "    \\sqrt{1+x}\\approx 1+\\frac{x}{2}-\\frac{x^2}{8}\\dots\n",
    "\\end{equation}\n",
    "\n",
    "con el fin de obtener una expresión del gradiente más sencilla.\n",
    "\n",
    "Usando coordenadas cilíndricas con $r=\\sqrt{x^2+y^2}$ tenemos\n",
    "\n",
    "\\begin{equation}\n",
    "    n(r)=n_o\\sqrt{1-(gr)^2}\\approx n_o\\left(1-\\frac{(gr)^2}{2}\\right)\n",
    "\\end{equation}\n",
    "\n",
    "Para el caso de rayos paraxiales (casi paralelos a la dirección de propagación): $$d/ds \\approx d/dz$$ y por lo tanto podemos escribir\n",
    "\\begin{equation}\n",
    "    \\frac{d}{dz}\\left(n\\frac{d\\textbf{r}}{dz}\\right)=-n_og^2\\textbf{r} \\hspace{0.5cm} \\textbf{r}=(x,y)\\,.\n",
    "\\end{equation}\n",
    "\n",
    "En la parte izquierda de la última igualdad aplicamos la regla de la cadena.\n",
    "\n",
    "Parte izquierda:\n",
    "+ $n\\neq n(z)$\n",
    "+ $1-g^2(x^2+y^2)\\approx 1 \\rightarrow n\\approx n_0$.\n",
    "\n",
    "Obtenemos:\n",
    "\n",
    "\\begin{equation}\n",
    "    \\frac{d^2\\textbf{r}}{d^2z}+g^2\\textbf{r}=0 \\hspace{0.5cm} \\textbf{r}=(x,y) \\,.\n",
    "\\end{equation}\n",
    "\n",
    "Rayos meridionales (contenidos en un plano que contiene al eje óptico $z$)\n",
    "\n",
    "\\begin{equation}\n",
    "    \\frac{d^2r}{dz^2}+g^2r=0 \\hspace{0.5cm} r=\\sqrt{x^2+y^2}\n",
    "\\end{equation}\n",
    "\n",
    "donde $r$ representa la distancia radial al eje $z$.\n",
    "\n",
    "Esta ecuación puede ser resuelta analíticamente de forma sencilla ya que es de la forma del oscilador armónico, por lo tanto nos servirá de gran ayuda para contrastar nuestros resultados.\n",
    "\n",
    "La solución es:\n",
    "\n",
    "\\begin{equation}\n",
    "    r(z)=r_o\\cos(gz)+r_o'\\sin(gz)/g\n",
    "\\end{equation}\n",
    "\n",
    "con $r_o$ y $r'_o$ condiciones iniciales que determinan respectivamente la posición y la tangente del ángulo con el eje $z$.\n",
    "\n",
    "Vemos como en este caso nuestra solución estará en un plano que contiene al eje $z$.\n",
    "\n",
    "+ La trayectoria del rayo es periódica con período $\\Lambda=2\\pi/g$.\n",
    "+ Si consideramos varios rayos todos paralelos al eje $z$ es decir con $r'_o=0$ tras una distancia $d$ tal que $gd=\\pi/2$ todos ellos colapsarán en un punto del eje $z$ que se denomina punto focal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HqlZ_PG2HSCb"
   },
   "source": [
    "# Forma no aproximada"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "tAQM9LkCZFDv"
   },
   "source": [
    "En esta situación, no consideramos un gradiente aproximado. Además, no particularizaremos la ecuación obtenida para rayos meridionales. La parte izquierda de la expresión \\eqref{eq: paso intermedio aproximacion meridional} no variará, puesto que seguimos manteniendo la aproximación $1-g^2(x^2+y^2)\\approx 1$. El gradiente vendrá definido por:\n",
    "\\begin{equation}\n",
    "    \\nabla n(x,y)=\\left(\\frac{\\partial n}{\\partial x}, \\frac{\\partial n}{\\partial y}\\right)\n",
    "\\end{equation}\n",
    "donde por la forma cuadrática de $n(x,y)$ tendremos que las derivadas son simétricas.\n",
    "Finalmente obtenemos dos ecuaciones diferenciales ordinarias acopladas\n",
    "\\begin{equation}\n",
    "    \\left\\lbrace\\begin{array}{cc}\n",
    "         \\displaystyle\\frac{d^2x}{dz^2}=& \\displaystyle\\frac{-g^2x}{\\sqrt{1-g^2(x^2+y^2)}} \\\\\n",
    "        \\displaystyle\\frac{d^2y}{dz^2}=& \\displaystyle\\frac{-g^2y}{\\sqrt{1-g^2(x^2+y^2)}}\n",
    "    \\end{array}\\right.\n",
    "\\end{equation}\n",
    "Notar que en este caso debemos de tener especial cuidado con los valores de $(x,y)$ para los cuales la raíz se anule, ya que provocarán que nuestras ecuaciones diverjan. Otro aspecto importante a tener en cuenta es que el índice de refracción siempre sea real, ya que en una fibra óptica no tiene sentido tener medios absorbentes, que son aquellos donde $n$ posee una parte imaginaria.\n",
    "Al igual que en el caso anterior podremos definir soluciones en el plano XZ o YZ, pero también más generales. Podremos estudiar las trayectorias de los rayos que no se encuentran confinadas en un solo plano. En las siguientes secciones fijaremos uno de los dos planos anteriores mediante la imposición de las condiciones iniciales, con el fin de poder comprar resultados con la solución aproximada."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "cstwFWb35zRx"
   },
   "source": [
    "# Important libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "8wjwSqRq4SdL"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cmath\n",
    "import math\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "QwQCqCwo-hdU"
   },
   "source": [
    "# Analytical ray path ($g^2(x^2+y^2)\\ll 1$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 3,
     "status": "ok",
     "timestamp": 1693482308005,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -120
    },
    "id": "q6od_6PN-g9d",
    "outputId": "50b059d7-c30f-4813-aaae-a7c6d212ba35"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "g= 0.5\n"
     ]
    }
   ],
   "source": [
    "def PathRay(z,r_o=0.5,r_1=-0.8,g=0.25):\n",
    "    # Period = 2*pi/g\n",
    "    return r_o*np.cos(g*z)+r_1*np.sin(g*z)/g\n",
    "\n",
    "z=np.linspace(0,L,n_steps)\n",
    "z=np.reshape(z,(n_steps,1))\n",
    "\n",
    "print('g=',g)\n",
    "r_o=np.sqrt(x_inicial**2+y_inicial**2)\n",
    "r=PathRay(z,r_o=r_o,r_1=x_prime_inicial,g=g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jZTl8eNu_CEV"
   },
   "source": [
    "# Runge Kutta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "ksvKmuhT4Y6-"
   },
   "outputs": [],
   "source": [
    "def rungekutta4(f, x0, t):\n",
    "    n = len(t)\n",
    "    x = np.zeros((n, len(x0)))\n",
    "    x[0] = x0\n",
    "    for i in range(n - 1):\n",
    "        h = t[i+1] - t[i]\n",
    "        k1 = f(x[i])\n",
    "        k2 = f(x[i] + k1 * h / 2.)\n",
    "        k3 = f(x[i] + k2 * h / 2.)\n",
    "        k4 = f(x[i] + k3 * h)\n",
    "        x[i+1] = x[i] + (h / 6.) * (k1 + 2*k2 + 2*k3 + k4)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "5jgJTEqN6VAi"
   },
   "outputs": [],
   "source": [
    "#Function that returns the equations of eikonal fiber\n",
    "def eikonal_fiber(x_sol):\n",
    "  dx_dz = x_sol[2]\n",
    "  dy_dz = x_sol[3]\n",
    "  dx2_dz2 = -(g**2)*x_sol[0]/np.real(cmath.sqrt(1-(g**2*(x_sol[0]**2+x_sol[1]**2))))\n",
    "  dy2_dz2 = -(g**2)*x_sol[1]/np.real(cmath.sqrt(1-(g**2*(x_sol[0]**2+x_sol[1]**2))))\n",
    "  return np.array([dx_dz, dy_dz,dx2_dz2, dy2_dz2])\n",
    "\n",
    "def generate_data(n_steps,tmax,init_cond,batch_size):\n",
    "  data=[]\n",
    "  targets=[]\n",
    "  t = np.linspace(0, tmax, n_steps)\n",
    "  for i in range (1,batch_size+1):\n",
    "    x0 = np.random.uniform(-1.0, 1.0)\n",
    "    y0 = np.random.uniform(-1.0, 1.0)\n",
    "    z0 = np.random.uniform(-1.0, 1.0)\n",
    "    results =  rungekutta4(f=eikonal_fiber, x0=init_cond,t=t)\n",
    "    data.append(results[:n_steps])\n",
    "  return np.array(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "PcTrH-RDZNZh"
   },
   "source": [
    "# Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "BkaTTw0K6Jwx"
   },
   "outputs": [],
   "source": [
    "g=0.5\n",
    "\n",
    "# Period = 2.0*np.math.pi/g\n",
    "P=2.0*np.math.pi/g\n",
    "L =3*P\n",
    "\n",
    "n_steps=500 # Number of points in the domain\n",
    "\n",
    "#Initial conditions of space and solution\n",
    "# Initial conditions\n",
    "z0=0.0\n",
    "x0=[1.0,0.0]\n",
    "dx_dz0=[0.0,0.2]\n",
    "x_inicial,y_inicial=x0\n",
    "x_prime_inicial,y_prime_inicial=dx_dz0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "NTmHMi82af25"
   },
   "source": [
    "# Generate data with Runge-Kutta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 2,
     "status": "ok",
     "timestamp": 1693482307182,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -120
    },
    "id": "fVt7nPWD4Rv6",
    "outputId": "0e9d724c-6a02-4aff-98fa-a31cebe72ad1"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.022270679473876953\n",
      "(500, 4)\n"
     ]
    }
   ],
   "source": [
    "batch_size=1\n",
    "init_cond = [x_inicial, y_inicial, x_prime_inicial, y_prime_inicial]\n",
    "inicial=time.time()\n",
    "data=np.squeeze(generate_data(n_steps,L,init_cond,batch_size))\n",
    "final=time.time()\n",
    "print(final-inicial)\n",
    "print(data.shape)\n",
    "x_final=data[:,0]\n",
    "y_final=data[:,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "-Id5gaflpb_X"
   },
   "source": [
    "# Plot the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 455
    },
    "executionInfo": {
     "elapsed": 947,
     "status": "ok",
     "timestamp": 1693482310372,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -120
    },
    "id": "oOcm6IgH9bXm",
    "outputId": "7fbab62a-3a6a-4027-ce22-3bb127fb9cbb"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(z, r, color=\"green\",marker='o',markersize=0.0, linestyle='-.', linewidth=1, label=\"x(z)=y(z) aprox.\")\n",
    "plt.plot(z,x_final,color=\"red\",markersize=0.0, linestyle='--', linewidth=1,  label=\"x(z) Runge Kutta\")\n",
    "plt.plot(z,y_final,color=\"blue\",markersize=0.0, linestyle='--', linewidth=1,  label=\"y(z) Runge Kutta\")\n",
    "\n",
    "plt.legend(fontsize=12)\n",
    "plt.xlabel(\"z\",fontsize=16)\n",
    "plt.ylabel(\"Position at plane XY\",fontsize=16)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 415
    },
    "executionInfo": {
     "elapsed": 518,
     "status": "ok",
     "timestamp": 1693482313770,
     "user": {
      "displayName": "SERGIO GUTIERREZ RODRIGO",
      "userId": "07959720391705098820"
     },
     "user_tz": -120
    },
    "id": "-kI2En46s0fM",
    "outputId": "2eda8959-7132-40f9-ca15-10cc9021a41f"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_zlabel(\"z\")\n",
    "\n",
    "ax.scatter(x_final,y_final,z, c='g',s=1,label=\"(x(z),y(z)) RK\")\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": [
    {
     "file_id": "https://github.com/IrisFDTD/OPTICS-UNIZAR/blob/main/Topic_1/chapter1_path_of_light.ipynb",
     "timestamp": 1753945035659
    },
    {
     "file_id": "1yf9Faj4pp9NSKJbCDm4GsOXxIWhUk7sF",
     "timestamp": 1693481770581
    },
    {
     "file_id": "1tKsdck-ZuuzCsWEJ1i7XGcXrrLCQgcLQ",
     "timestamp": 1693389677769
    }
   ],
   "toc_visible": true
  },
  "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
