{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*This notebook was created by [Sergey Tomin](http://www.xfel.eu/organization/staff/tomin_sergey/) for Workshop: [Designing future X-ray FELs](http://www.xrayfels.co.uk/). Source and license info is on [GitHub](https://github.com/iagapov/ocelot/tree/dev/docs). August 2016.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial N2.  Tracking.\n",
    "\n",
    "As an example, we will use lattice file (converted to Ocelot format) of the European XFEL Injector. \n",
    "\n",
    "##### This example will cover the following topics:\n",
    "- calculation of the linear optics for the European XFEL Injector.\n",
    "- Tracking of the particles in first and second order approximation without collective effects.\n",
    "\n",
    "#### Coordiantes\n",
    "Coordinates in Ocelot are following:\n",
    "$$ \\left (x, \\quad x' = \\frac{p_x}{p_0} \\right), \\qquad \\left (y, \\quad y' = \\frac{p_y}{p_0} \\right), \\qquad \\left (\\Delta s = c\\tau, \\quad p = \\frac{\\Delta E}{p_0 c} \\right)$$\n",
    "\n",
    "#### Requirements \n",
    "* injector_lattice.py - input file, the Injector lattice.\n",
    "* beam_130MeV.ast    - input file, initial beam distribution in [ASTRA](http://www.desy.de/~mpyflo/) format."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# the output of plotting commands is displayed inline within frontends, \n",
    "# directly below the code cell that produced it\n",
    "%matplotlib inline\n",
    "\n",
    "# this python library provides generic shallow (copy) and deep copy (deepcopy) operations \n",
    "from copy import deepcopy\n",
    "\n",
    "# import from Ocelot main modules and functions\n",
    "from ocelot import *\n",
    "\n",
    "# import from Ocelot graphical modules\n",
    "from ocelot.gui.accelerator import *\n",
    "\n",
    "# import injector lattice\n",
    "from ocelot.demos.ipython_tutorials.injector_lattice import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to see injector_lattice.py file you can run following command (lattice file is very large):\n",
    "```\n",
    "$ %load injector_lattice.py\n",
    "```\n",
    "The variable *cell* contains all the elements of the lattice in right order.\n",
    "\n",
    "And again Ocelot will work with class MagneticLattice instead of simple sequence of element. So we have to run following command. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lat = MagneticLattice(cell, stop=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Design optics calculation of the European XFEL Injector\n",
    "#### *Remark*\n",
    "*For convenience reasons, we define optical functions starting at the gun by backtracking of the optical functions derived from ASTRA (or similar space charge code) at 130 MeV at the entrance to the first quadrupole. The optical functions we thus obtain have obviously nothing to do with the actual beam envelope form the gun to the 130 MeV point.*\n",
    "\n",
    "Because we work with linear accelerator we have to define initial energy and initial twiss paramters in order to get \n",
    "correct twiss functions along the Injector. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# initialization of Twiss object\n",
    "tws0 = Twiss()\n",
    "# defining initial twiss parameters\n",
    "tws0.beta_x = 29.171\n",
    "tws0.beta_y = 29.171\n",
    "tws0.alpha_x = 10.955\n",
    "tws0.alpha_y = 10.955\n",
    "# defining initial electron energy in GeV\n",
    "tws0.E = 0.005 \n",
    "\n",
    "# calculate optical functions with initial twiss parameters\n",
    "tws = twiss(lat, tws0, nPoints=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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GHSqUBCQxEpFaEVkrIs3P41NKKaVCWO7JXEzd3ujtGV/k4rqn0l5JcWWxpbGpwApUi9H3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DrXM1SshJKYcfNm3qmE7p+Pv6h3by9fkM8/l/3dJECsrFT0Pa86YwlGPhZ/BKOV18laC8vHmPW1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\n8VPuI+c7C+bctD17cu5RrPSl7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      "text/plain": [
       "<matplotlib.figure.Figure at 0xa7cafd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ploting twiss paramentrs.\n",
    "plot_opt_func(lat, tws, top_plot=[\"Dx\", \"Dy\"], fig_name=\"i1\", legend=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Tracking in first and second order approximation without any collective effects \n",
    "\n",
    "### Remark\n",
    "*Because of the reasons mentioned above, we start the beam tracking from the first quadrupole after RF cavities.*\n",
    "\n",
    "### Loading of beam distribution\n",
    "In order to perform tracking we have to have beam distribution. We will load beam distribution from a ASTRA file ('beam_distrib.ast'). And we convert the Astra beam distribution to Ocelot format - ParticleArray. ParticleArray is designed for tracking.\n",
    "In order to work with converters we have to import specific module from ocelot.adaptors\n",
    "> from ocelot.adaptors.astra2ocelot import *\n",
    "\n",
    "After importing **ocelot.adaptors.astra2ocelot** we can use converter astraBeam2particleArray() to load and convert.\n",
    "As you will see beam distribution consists of 200 000 particles (**that is why loading can take a few second**), charge 250 pC, initial energy is about 6.5 MeV.\n",
    "\n",
    "**ParticleArray** is a class which includes several parameters and methods. \n",
    "* ParticleArray.rparticles is a 2D numpy array (6 x N) with coordinates of particles in \n",
    "$$ParticleArray.rparticles = [\\vec{x_0}, \\vec{x_1}, ..., \\vec{x_n}], $$ where $$\\vec{x_n} = (x_n, x_n', y_n, y_n', \\tau_n, p_n)^T$$\n",
    "* ParticleArray.s is the longitudinal coordinate of the reference particle in [m]. \n",
    "* ParticleArray.E is the energy of the reference particle in [GeV]. \n",
    "* ParticleArray.q_array - is a 1D numpy array of the charges each (macro) particles in [C]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#from ocelot.adaptors.astra2ocelot import *\n",
    "#p_array_init = astraBeam2particleArray(filename='beam_130MeV.ast')\n",
    "#p_array_init = astraBeam2particleArray(filename='beam_130MeV_off_crest.ast')\n",
    "\n",
    "# save ParticleArray to compresssed numpy array \n",
    "#save_particle_array(\"tracking_beam.npz\", p_array_init)\n",
    "p_array_init = load_particle_array(\"sc_beam.npz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Selection of the tracking order and lattice for the tracking.\n",
    "\n",
    "MagneticLattice(sequence, start=None, stop=None, method=MethodTM()) have wollowing arguments:     \n",
    "* sequence - list of the elements,\n",
    "* start - first element of the lattice. If None, then lattice starts from the first element of the sequence,\n",
    "* stop - last element of the lattice. If None, then lattice stops by the last element of the sequence,\n",
    "* method=MethodTM() - method of the tracking. MethodTM() class assigns transfer map to every element. By default all elements are assigned first order transfer map - TransferMap. One can create one's own map, but there are following predefined maps:\n",
    "    - TransferMap - first order matrices. \n",
    "    - SecondTM - 2nd order matrices.\n",
    "    - KickTM - kick applyed.\n",
    "    - RungeKuttaTM - Runge-Kutta integrator is applyed, but required 3D magnetic field function element.mag_field = lambda x, y, z: (Bx, By, Bz) (see example ocelot/demos/ebeam/tune_shift.py)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# initialization of tracking method\n",
    "method = MethodTM()\n",
    "\n",
    "# for second order tracking we have to choose SecondTM \n",
    "method.global_method = SecondTM\n",
    "\n",
    "# for first order tracking uncomment next line\n",
    "# method.global_method = TransferMap\n",
    "\n",
    "# we will start simulation from the first quadrupole (QI.46.I1) after RF section.\n",
    "# you can change stop element (and the start element, as well) \n",
    "# START_73_I1 - marker before Dog leg\n",
    "# START_96_I1 - marker before Bunch Compresion\n",
    "lat_t = MagneticLattice(cell, start=start_sim, stop=None, method=method)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tracking\n",
    "for tracking we have to define following objects:\n",
    "* **Navigator** defines step (dz) of tracking and which, if it exists, physical process will be applied at each step.\n",
    "In order to add collective effects (Space charge, CSR or wake) method add_physics_proc() must be run.\n",
    "\n",
    "    - **Method:**\n",
    "        * Navigator.add_physics_proc(physics_proc, elem1, elem2)\n",
    "            - physics_proc - physics process, can be CSR, SpaceCharge or Wake,\n",
    "            - elem1 and elem2 - first and last elements between which the physics process will be applied.\n",
    "    \n",
    "* **track(MagneticLatice, ParticleArray, Navigator)** - the function performs tracking through the lattice [lat] of the particles [p_array]. This function also calculate twiss parameters of the beam distribution on each tracking step. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z = 93.4041010008 / 93.40410100084006 : applied: "
     ]
    }
   ],
   "source": [
    "navi = Navigator(lat_t)\n",
    "p_array = deepcopy(p_array_init)\n",
    "tws_track, p_array = track(lat_t, p_array, navi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sczMrM7NXzWxwqmLMFOEtRK11mZkFrUS7dsH77ycuLhERkVTJiITIzL4CTAaW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\nBAKBQCCIeoRAJBAIBAKBIOr5f6C8Jm7Pg2xoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb9e550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# you can change top_plot argument, for example top_plot=[\"alpha_x\", \"alpha_y\"]\n",
    "plot_opt_func(lat_t, tws_track, top_plot=[\"E\"], fig_name=0, legend=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Current profile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Imax =  13.2739500619\n"
     ]
    },
    {
     "data": {
      "image/png": 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J8OGHftaHiEhdy82F2bPhiy9CV5IMChUS1DPPQPv2GkshImHk5vpVNadMCV1J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\ntbifqTubEwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb9ee48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins_start, hist_start = get_current(p_array, charge=p_array.q_array[0], num_bins=200)\n",
    "\n",
    "plt.figure(4)\n",
    "plt.title(\"current: end\")\n",
    "plt.plot(bins_start*1000, hist_start)\n",
    "plt.xlabel(\"s, mm\")\n",
    "plt.ylabel(\"I, A\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Beam distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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T/VVgXwRuE5GLROQ4ERnt38otXFXQ3AznnVduKQzDMIxCMnGiK3ZqRU9DiboHyFtB9WSg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xabd5dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau = np.array([p.tau for p in p_array])\n",
    "dp = np.array([p.p for p in p_array])\n",
    "x = np.array([p.x for p in p_array])\n",
    "y = np.array([p.y for p in p_array])\n",
    "\n",
    "ax1 = plt.subplot(311)\n",
    "ax1.plot(-tau*1000, x*1000, 'r.')\n",
    "plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "plt.ylabel(\"x, mm\")\n",
    "plt.grid(True)\n",
    "\n",
    "ax2 = plt.subplot(312, sharex=ax1)\n",
    "ax2.plot(-tau*1000, y*1000, 'r.')\n",
    "plt.setp(ax2.get_xticklabels(), visible=False)\n",
    "plt.ylabel(\"y, mm\")\n",
    "plt.grid(True)\n",
    "\n",
    "ax3 = plt.subplot(313, sharex=ax1)\n",
    "ax3.plot(-tau*1000, dp, 'r.')\n",
    "plt.ylabel(\"dE/E\")\n",
    "plt.xlabel(\"s, mm\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "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": "3.5.2"
  },
  "name": ""
 },
 "nbformat": 4,
 "nbformat_minor": 0
}