{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*This notebook was created by [Sergey Tomin](http://www.xfel.eu/organization/staff/tomin_sergey/) and [Igor Zagorodnov](http://www.desy.de/~zagor/) 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 N4.  Wakefields.\n",
    "## Chirper.\n",
    "Influence of corrugated structure on the electron beam.\n",
    "This example based on the work: [I. Zagorodnov, G. Feng, T. Limberg. Corrugated structure insertion for extending the SASE bandwidth up to 3% at the European XFEL](https://arxiv.org/abs/1607.07642). \n",
    "\n",
    "Gerometry of the corrugated structure. The blue ellipse represents an electron beam\n",
    "propagating along the z axis.\n",
    "\n",
    "<img src=\"4_corrugated_str.png\" />\n",
    "\n",
    "## Wakefields\n",
    "In order to take into account the impact of the wake field on the beam the longitudinal wake function\n",
    "of point charge through the second order Taylor expansion is used.\n",
    "In general case it uses 13 one-dimensional functions to represent the  longitudinal component of the wake\n",
    "function for arbitrary sets of the source and the wittness particles near to the reference axis.\n",
    "The wake field impact on the beam is included as series of kicks.\n",
    "\n",
    "The implementation of the wakefields follows closely the approach described \n",
    "in:\n",
    "* [O. Zagorodnova, T. Limberg, Impedance budget database for the European XFEL,\n",
    "in Proceedings of 2009 Particle Accelerator Conference,(Vancouver, Canada, 2009)](http://pubdb.xfel.eu/record/93956)\n",
    "* [M. Dohlus, K. Floettmann, C. Henning, Fast particle tracking with wake \n",
    "fields, Report No. DESY 12-012, 2012.](https://arxiv.org/abs/1201.5270)\n",
    "\n",
    "#### This example will cover the following topics:\n",
    "* Initialization of the wakes and the places of their applying\n",
    "* tracking of second order with wakes\n",
    "\n",
    "#### Requirements \n",
    "* beam_chirper.ast    - input file, initial beam distribution in [ASTRA](http://www.desy.de/~mpyflo/) format (was obtained from s2e simulation performed with ASTRA and [CSRtrack](http://www.desy.de/fel-beam/psviewer/index.html)).\n",
    "* wake_vert_1m.txt - wake table of the vertical corrugated structure (was calculated with [ECHO](http://www.desy.de/~zagor/WakefieldCode_ECHOz/))\n",
    "* wake_hor_1m.txt - wake table of the vertical corrugated structure (was calculated with [ECHO](http://www.desy.de/~zagor/WakefieldCode_ECHOz/))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import of modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "initializing ocelot...\n"
     ]
    }
   ],
   "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",
    "import time\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",
    "# load beam distribution\n",
    "# this function convert 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 *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Layout of the corrugated structure insertion. Create Ocelot lattice <img src=\"4_layout.png\" />"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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QHb6miYiIiETeEY0MOedqOOdeBXYCWcBq4GnnXAPv/YRiRRdFREREKoUjHRkagW2d0R2o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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x952da20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D00m25 = Drift(l = 0.25)\n",
    "D01m = Drift(l = 1)\n",
    "D02m = Drift(l = 2)\n",
    "\n",
    "# Create markers for defining places of the wakes applying \n",
    "w1_start = Marker()\n",
    "w1_stop = Marker()\n",
    "\n",
    "w2_start = Marker()\n",
    "w2_stop = Marker()\n",
    "\n",
    "w3_start = Marker()\n",
    "w3_stop = Marker()\n",
    "\n",
    "w4_start = Marker()\n",
    "w4_stop = Marker()\n",
    "\n",
    "w5_start = Marker()\n",
    "w5_stop = Marker()\n",
    "\n",
    "w6_start = Marker()\n",
    "w6_stop = Marker()\n",
    "# quadrupoles\n",
    "Q1 = Quadrupole(l = 0.5, k1 = 0.215)\n",
    "\n",
    "# lattice\n",
    "lattice = (D01m, w1_start, D02m, w1_stop, w2_start, D02m, w2_stop, w3_start, D02m, w3_stop, D00m25, Q1,\n",
    "           D00m25, w4_start, D02m, w4_stop, w5_start, D02m, w5_stop, w6_start, D02m, w6_stop, D01m)\n",
    "\n",
    "# creation MagneticLattice\n",
    "method = MethodTM()\n",
    "method.global_method = SecondTM\n",
    "lat = MagneticLattice(lattice, method=method)\n",
    "\n",
    "# calculate twiss functions with initial twiss parameters\n",
    "tws0 = Twiss()\n",
    "tws0.E = 14  # in GeV\n",
    "tws0.beta_x = 22.5995\n",
    "tws0.beta_y = 22.5995\n",
    "tws0.alpha_x = -1.4285\n",
    "tws0.alpha_y = 1.4285\n",
    "tws = twiss(lat, tws0, nPoints=None)\n",
    "# ploting twiss paramentrs.\n",
    "plot_opt_func(lat, tws, top_plot=[\"Dx\"], fig_name=\"i1\", legend=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load beam file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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H5MmVr3PtWs2NEpG8KvHS4lHA0rR9UwqZSyUiUrYFCypf5+GHK4kSkYKUvLK5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\nAMAgQQoAYJAgBQAwSJACABj0B1ci4kmwhPO/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb253a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load and convert ASTRA file to OCELOT beam distribution\n",
    "# p_array_init = astraBeam2particleArray(filename='beam_chirper.ast')\n",
    "\n",
    "# save ParticleArray to compresssed numpy array \n",
    "# save_particle_array(\"chirper_beam.npz\", p_array_init)\n",
    "p_array_init = load_particle_array(\"chirper_beam.npz\")\n",
    "\n",
    "plt.plot(-p_array_init.tau()*1000, p_array_init.p(), \"r.\")\n",
    "plt.grid(True)\n",
    "plt.xlabel(r\"$\\tau$, mm\")\n",
    "plt.ylabel(r\"$\\frac{\\Delta E}{E}$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialization of the wakes and the places of their applying "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from ocelot.cpbd.wake3D import *\n",
    "\n",
    "# load wake tables of corrugated structures\n",
    "wk_vert = WakeTable('wake_vert_1m.txt')\n",
    "wk_hor = WakeTable('wake_hor_1m.txt')\n",
    "\n",
    "# creation of wake object with parameters \n",
    "wake_v1 = Wake()\n",
    "# w_sampling - defines the number of the equidistant sampling points for the one-dimensional\n",
    "# wake coefficients in the Taylor expansion of the 3D wake function.\n",
    "wake_v1.w_sampling = 500\n",
    "wake_v1.wake_table = wk_vert\n",
    "wake_v1.step = 1 # step in Navigator.unit_step, dz = Navigator.unit_step * wake.step [m]\n",
    "\n",
    "wake_h1 = Wake()\n",
    "wake_h1.w_sampling = 500\n",
    "wake_h1.wake_table = wk_hor\n",
    "wake_h1.step = 1\n",
    "\n",
    "wake_v2 = deepcopy(wake_v1) \n",
    "\n",
    "wake_h2 = deepcopy(wake_h1)\n",
    "\n",
    "wake_v3 = deepcopy(wake_v1) \n",
    "\n",
    "wake_h3 = deepcopy(wake_h1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Add the wakes in the lattice\n",
    "Navigator defines step (dz) of tracking and which, if it exists, physical process will be applied on 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",
    "Also must be define unit_step in [m] (by default 1 m). unit_step is minimal step of tracking for any collective effect. \n",
    "For each collective effect must be define number of unit_steps so step of applying physics process will be \n",
    "\n",
    "dz = unit_step*step [m]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tracking with Wakes .... \n",
      "z = 15.0 / 15.0 : applied: \n",
      " time exec: 47.55200004577637 sec\n"
     ]
    }
   ],
   "source": [
    "navi = Navigator(lat)\n",
    "\n",
    "# add physics proccesses\n",
    "navi.add_physics_proc(wake_v1, w1_start, w1_stop)\n",
    "navi.add_physics_proc(wake_h1, w2_start, w2_stop)\n",
    "navi.add_physics_proc(wake_v2, w3_start, w3_stop)\n",
    "navi.add_physics_proc(wake_h2, w4_start, w4_stop)\n",
    "navi.add_physics_proc(wake_v3, w5_start, w5_stop)\n",
    "navi.add_physics_proc(wake_h3, w6_start, w6_stop)\n",
    "\n",
    "# definiing unit step in [m]\n",
    "navi.unit_step = 0.2 \n",
    "\n",
    "# deep copy of the initial beam distribution \n",
    "p_array = deepcopy(p_array_init)\n",
    "print(\"tracking with Wakes .... \")\n",
    "start = time.time()\n",
    "tws_track, p_array = track(lat, p_array, navi)\n",
    "print(\"\\n time exec:\", time.time() - start, \"sec\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Longitudinal beam distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100000\n"
     ]
    },
    {
     "data": {
      "image/png": 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bO3HNGsaPH0/Llg2/DSNGjGDkyJFphJDftmzZwuLFi4MOIycUUlv89a8wdWri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\n++yzj7vmmmsa7F+7dq3r3Lm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Q95vNdohxTgmwGbgk6PvNdjuE7v0N4HLg9+RHkuTH341r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\nw/8DYRLIiYI2VdQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb2feb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau0 = p_array_init.tau()\n",
    "p0 = p_array_init.p()\n",
    "\n",
    "tau1 = p_array.tau()\n",
    "p1 = p_array.p()\n",
    "print(len(p1))\n",
    "plt.figure(1)\n",
    "plt.plot(-tau0*1000, p0, \"r.\", -tau1*1000, p1, \"b.\")\n",
    "plt.legend([\"before\", \"after\"], loc=4)\n",
    "plt.grid(True)\n",
    "plt.xlabel(r\"$\\tau$, mm\")\n",
    "plt.ylabel(r\"$\\frac{\\Delta E}{E}$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Beam distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+4oMHVdva3DVtbaqZTO5cW1t+vQ0N7thll+Ufj9ouvVRVJL5MY2N+m6Xys5/l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\npOXZEr1ze6QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb248240>"
      ]
     },
     "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(\"dp/p\")\n",
    "plt.xlabel(\"s, mm\")\n",
    "plt.grid(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Xt1doyJCSbchaXH36uJLkqVN14r1yl52dnTtXqDC//PILAPXq1fNHSF6hyZBS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\nMrVzb6iJE+GXXwIbU7AaP95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81VcyH+GDD0r+KdiZ8DiTnfz/5v3kXZgzzpDE6OyzZeL3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x95b0b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting twiss parameters.\n",
    "plot_opt_func(lat, tws_track, top_plot=[\"Dx\"], fig_name=\"i1\", legend=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
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