CP10_Geant4_energy_calibration&energy_fractions.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "940f43dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0569c5f6",
   "metadata": {},
   "source": [
    "## Part 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ad0d979",
   "metadata": {},
   "source": [
    "### Particle gun: 20 electrons with energy 300 MeV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "8bf59e14",
   "metadata": {},
   "outputs": [],
   "source": [
    "col_names = [\"TrueEnergy\", \"Layer1\", \"Layer2\", \"Layer3\", \"Layer4\", \"Layer5\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "303d9f68",
   "metadata": {},
   "outputs": [],
   "source": [
    "layers = col_names[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "9066ce98",
   "metadata": {},
   "outputs": [],
   "source": [
    "detector_energies_e = pd.read_csv(\"output_nt_Energy(electrons).csv\",comment=\"#\",\n",
    "                                header=None,names=col_names,dtype=\"float\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "bef33e40",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total events:  20\n"
     ]
    }
   ],
   "source": [
    "print(\"Total events: \",detector_energies_e.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "d3d8e78d",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Total energy deposited in each layer\n",
    "total_energy_e = detector_energies_e[layers].values.sum(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "bfb8e630",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_pos = [1,2,3,4,5]\n",
    "plt.bar(layer_pos, height=total_energy_e,width=1)\n",
    "plt.title(\"Layer total energy (20 electrons 300 MeV)\")\n",
    "plt.xlabel(\"Layers\")\n",
    "plt.ylabel(\"Deposited energy (MeV)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34744516",
   "metadata": {},
   "source": [
    "### Particle gun: 20 neutrons with energy 300 MeV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "2adbccae",
   "metadata": {},
   "outputs": [],
   "source": [
    "detector_energies_n = pd.read_csv(\"output_nt_Energy(neutrons).csv\",comment=\"#\",\n",
    "                                header=None,names=col_names,dtype=\"float\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "dcb0e1d8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total events:  20\n"
     ]
    }
   ],
   "source": [
    "print(\"Total events: \",detector_energies_n.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "02170f6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Total energy deposited in each layer\n",
    "total_energy_n = detector_energies_n[layers].values.sum(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "238778d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_pos = [1,2,3,4,5]\n",
    "plt.bar(layer_pos, height=total_energy_n,width=1)\n",
    "plt.title(\"Layer total energy (20 neutrons 300 MeV)\")\n",
    "plt.xlabel(\"Layers\")\n",
    "plt.ylabel(\"Deposited energy (MeV)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53163535",
   "metadata": {},
   "source": [
    "## Energy calibration (500 electrons 300 MeV)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "4aeb90b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "detector_energies_500 = pd.read_csv(\"output_nt_Energy(500electrons).csv\",comment=\"#\",\n",
    "                                header=None,names=col_names,dtype=\"float\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "61fcf93f",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_true = detector_energies_500[col_names[0]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "878a407d",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_detected = detector_energies_500[layers].values.sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "86a4e785",
   "metadata": {},
   "outputs": [],
   "source": [
    "calibration = np.average(E_true/E_detected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "id": "c34895ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_calibrated = E_detected*calibration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "id": "2008288f",
   "metadata": {},
   "outputs": [],
   "source": [
    "calibration_diff = (E_calibrated-E_true)/E_true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "7cadac6f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(calibration_diff,bins=np.linspace(-0.5,0.5,50))\n",
    "plt.xlabel(\"(calibrated energy - true energy) / true energy\")\n",
    "plt.ylabel(\"counts\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "id": "6060e57a",
   "metadata": {},
   "outputs": [],
   "source": [
    "detector_resolution = np.std(calibration_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "id": "4ac5743e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The detector resolution is:  0.15569\n"
     ]
    }
   ],
   "source": [
    "print(\"The detector resolution is: \",round(detector_resolution,5))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be5e30bc",
   "metadata": {},
   "source": [
    "## 2D Histrogram of energy calibration"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7ec0dfd",
   "metadata": {},
   "source": [
    "1000 electrons fired, energy incremented by 100MeV from 300MeV to 100200MeV "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "id": "585b9800",
   "metadata": {},
   "outputs": [],
   "source": [
    "detector_energies_increment = pd.read_csv(\"output_nt_Energy(100MeV_increment).csv\",comment=\"#\",\n",
    "                                header=None,names=col_names,dtype=\"float\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1be5a18b",
   "metadata": {},
   "source": [
    "Calculating the calibration quality for each event"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "id": "fde0c966",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_true = detector_energies_increment[col_names[0]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "id": "79fb1979",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_detected = detector_energies_increment[layers].values.sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "id": "c596318e",
   "metadata": {},
   "outputs": [],
   "source": [
    "calibration = np.average(E_true/E_detected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "id": "45eaa37a",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_calibrated = E_detected*calibration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "id": "6bb222f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "calibration_quality = (E_calibrated-E_true)/E_true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "id": "e8f4dd1b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist2d( x=E_true, y=calibration_quality, bins=(10, 20) )\n",
    "plt.ylabel(\"(Calibrated energy - true energy) / true energy\")\n",
    "plt.xlabel(\"True energy [MeV]\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d1388df",
   "metadata": {},
   "source": [
    "#### Describe what beam energy values you used"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "516a2162",
   "metadata": {},
   "source": [
    "The beam energy values are chosen to start from 300 MeV and increment by 100 MeV for each new particle being fired. The beam energy values were incremented by 100 MeV for 1000 times, reaching a maximum of 100200 MeV."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "275e2a54",
   "metadata": {},
   "source": [
    "## Part 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e53e8a6",
   "metadata": {},
   "source": [
    "#### Firing 300 MeV electrons"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fb8b38c",
   "metadata": {},
   "source": [
    "### Count the number of positrons produced by photon conversion in an event"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d06bf7c0",
   "metadata": {},
   "source": [
    "Terminal output for single event:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "id": "a51afbac",
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "id": "fd5e74b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 184,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(\"positrons_from_photon_conv.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62b2eab6",
   "metadata": {},
   "source": [
    "### Calculate the fraction of the total *detected* energy in an event that was deposited by electrons. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a55e561a",
   "metadata": {},
   "source": [
    "Fraction of the detected energy deposited by electrons in each layer of the detector (single event)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "id": "22c138c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 187,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(\"Electron_energy_fraction_terminal.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7390a88",
   "metadata": {},
   "source": [
    "Histogram of the fraction of energy deposited by electrons in each layer of the detector (single event)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "id": "89c14a2f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(\"Electron_energy_fraction_histogram.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fe626efe",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}