{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by [Sergey Tomin](http://www.xfel.eu/organization/staff/tomin_sergey/). Source and license info is on [GitHub](https://github.com/iagapov/ocelot/tree/dev/docs). May 2017.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tutorial N5. Coherent Synchrotron Radiation.\n", "*Second order tracking with CSR effect of the 200k particles.*\n", "\n", "As an example, we will use bunch compressor BC2 of the European XFEL Injector. \n", "\n", "The CSR module uses a fast ‘projected’ 1-D method from CSRtrack code and follows the approach presented in {[Saldin et al 1998](http://www.sciencedirect.com/science/article/pii/S0168900298006238), [Dohlus 2003](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.233.564&rep=rep1&type=pdf), [Dohlus 2004](https://accelconf.web.cern.ch/accelconf/f04/papers/MOCOS05/MOCOS05.PDF)}. The particle tracking uses matrices up to the second order. CSR wake is calculated continuously through beam lines of arbitrary flat geometry. The transverse self-forces are neglected completely. The method calculates the longitudinal self-field of a one-dimensional beam that is obtained by a projection of the ‘real’ three-dimensional beam onto a reference trajectory. A smooth one-dimensional charge density is calculated by binning and filtering, which is crucial for the stability and accuracy of the simulation, since the instability is sensitive to high frequency components in the charge density. \n", "\n", "\n", "#### This example will cover the following topics:\n", "* Initialization of the CSR object and the places of it applying\n", "* tracking of second order with CSR effect.\n", "\n", "#### Requirements \n", "* in.fmt1 - input file, initial beam distribution in CSRtrack format (was obtained from s2e simulation performed with ASTRA/CSRtrack).\n", "* out.fmt1 - output file, beam distribution after BC2 bunch compressor (was obtained with CSRtrack)" ] }, { "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", "from time import time \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", "# load beam distribution\n", "# this function convert CSRtrack 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.csrtrack2ocelot import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load beam distribution from CSRtrack format" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.text.Text at 0x950d898>" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkIAAAF5CAYAAABz8kXzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x4e70208>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load and convert CSRtrack file to OCELOT beam distribution\n", "# p_array_i = csrtrackBeam2particleArray(\"in.fmt1\", orient=\"H\")\n", "\n", "# save ParticleArray to compresssed numpy array \n", "# save_particle_array(\"test.npz\", p_array_i)\n", "p_array_i = load_particle_array(\"csr_beam.npz\")\n", "\n", "# show the longitudinal phase space\n", "plt.plot(-p_array_i.tau()*1000, p_array_i.p(), \"r.\")\n", "plt.xlabel(\"S, mm\")\n", "plt.ylabel(\"dE/pc\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### create BC2 lattice" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "b1 = Bend(l = 0.500094098121, angle=-0.03360102249639, e1=0.0, e2=-0.03360102249639, gap=0, tilt=0, fint=0.0, fintx=0.0, eid='BB.393.B2')\n", "b2 = Bend(l = 0.500094098121, angle=0.03360102249639, e1=0.03360102249639, e2=0.0, gap=0, tilt=0, fint=0.0, fintx=0.0, eid='BB.402.B2')\n", "b3 = Bend(l = 0.500094098121, angle=0.03360102249639, e1=0.0, e2=0.03360102249639, gap=0, tilt=0, fint=0.0, fintx=0.0, eid='BB.404.B2')\n", "b4 = Bend(l = 0.500094098121, angle=-0.03360102249639, e1=-0.03360102249639, e2=0.0, gap=0, tilt=0, fint=0.0, fintx=0.0, eid='BB.413.B2')\n", "\n", "d_slope = Drift(l=8.5/np.cos(b2.angle))\n", "\n", "start_csr = Marker()\n", "stop_csr = Marker()\n", "\n", "# define cell frome the bends and drifts\n", "cell = [start_csr, Drift(l=0.1), b1 , d_slope , b2, Drift(l=1.5) , b3, d_slope, b4, Drift(l= 1.), stop_csr]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Initialization tracking method and MagneticLattice object" ] }, { "cell_type": "code", "execution_count": 4, "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", "lat = MagneticLattice(cell, method=method)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create CSR object " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "csr = CSR()\n", "csr.n_bin = 300\n", "csr.m_bin = 5\n", "csr.sigma_min = 0.2e-6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Track particles with and without CSR effect" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " tracking without CSR effect .... \n", "z = 21.6099776532 / 21.6099776532 : applied: \n", " time exec: 0.9790000915527344 sec\n", "\n", " tracking with CSR effect .... \n", "z = 21.6099776532 / 21.6099776532 : applied: CSR\n", " time exec: 324.04900002479553 sec\n" ] } ], "source": [ "navi = Navigator(lat)\n", "\n", "# track witout CSR effect \n", "p_array_no = deepcopy(p_array_i)\n", "print(\"\\n tracking without CSR effect .... \")\n", "start = time()\n", "tws_no, p_array_no = track(lat, p_array_no, navi)\n", "print(\"\\n time exec:\", time() - start, \"sec\")\n", "\n", "# again create Navigator with needed step in [m]\n", "navi = Navigator(lat)\n", "navi.unit_step = 0.1 # m\n", "\n", "# add csr process to navigator with start and stop elements\n", "navi.add_physics_proc(csr, start_csr, stop_csr)\n", "\n", "# tracking \n", "start = time()\n", "p_array_csr = deepcopy(p_array_i)\n", "print(\"\\n tracking with CSR effect .... \")\n", "tws_csr, p_array_csr = track(lat, p_array_csr, navi)\n", "print(\"\\n time exec:\", time() - start, \"sec\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3wAAAIUCAYAAABBxC6hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqf8Pip9SYfouT0EAAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0xb57e908>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# recalculate reference particle \n", "from ocelot.cpbd.beam import *\n", "\n", "recalculate_ref_particle(p_array_csr)\n", "recalculate_ref_particle(p_array_no)\n", "\n", "# load and convert CSRtrack file to OCELOT beam distribution \n", "# distribution after BC2\n", "# p_array_out = csrtrackBeam2particleArray(\"out.fmt1\", orient=\"H\")\n", "# save ParticleArray to compresssed numpy array \n", "# save_particle_array(\"scr_track.npz\", p_array_out)\n", "p_array_out = load_particle_array(\"scr_track.npz\")\n", "\n", "# standard matplotlib functions \n", "\n", "plt.figure(2, figsize=(10, 6))\n", "plt.subplot(121)\n", "plt.plot(p_array_no.tau()*1000, p_array_no.p(), 'g.', label=\"OCELOT no CSR\")\n", "plt.plot(p_array_csr.tau()*1000, p_array_csr.p(), 'r.', label=\"OCELOT CSR\")\n", "plt.plot(p_array_out.tau()*1000, p_array_out.p(), 'b.', label=\"CSRtrack\")\n", "plt.legend(loc=3)\n", "plt.xlabel(\"s, mm\")\n", "plt.ylabel(\"dE/pc\")\n", "plt.grid(True)\n", "\n", "\n", "plt.subplot(122)\n", "plt.plot(p_array_no.tau()*1000, p_array_no.p(), 'g.', label=\"Ocelot no CSR\")\n", "plt.plot(p_array_out.tau()*1000, p_array_out.p(), 'b.', label=\"CSRtrack\")\n", "plt.plot(p_array_csr.tau()*1000, p_array_csr.p(), 'r.', label=\"OCELOT CSR\")\n", "plt.legend(loc=3)\n", "plt.xlabel(\"s, mm\")\n", "plt.ylabel(\"dE/pc\")\n", "plt.grid(True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "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" } }, "nbformat": 4, "nbformat_minor": 2 }