{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by Sergey Tomin (sergey.tomin@desy.de). Source and license info is on [GitHub](https://github.com/ocelot-collab/ocelot). January 2018.*" ] }, { "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initializing ocelot...\n" ] } ], "source": [ "import sys\n", "sys.path.append(\"/Users/tomins/Nextcloud/DESY/repository/ocelot\")\n", "# the output of plotting commands is displayed inline within frontends, \n", "# directly below the code cell that produced it\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 *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load beam distribution from CSRtrack format" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'dE/pc')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "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": {}, "outputs": [], "source": [ "b1 = Bend(l = 0.5001, angle=-0.0336, e1=0.0, e2=-0.0336, gap=0, tilt=0, eid='BB.393.B2')\n", "b2 = Bend(l = 0.5001, angle=0.0336, e1=0.0336, e2=0.0, gap=0, tilt=0, eid='BB.402.B2')\n", "b3 = Bend(l = 0.5001, angle=0.0336, e1=0.0, e2=0.0336, gap=0, tilt=0, eid='BB.404.B2')\n", "b4 = Bend(l = 0.5001, angle=-0.0336, e1=-0.0336, e2=0.0, gap=0, tilt=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), \n", " b3, d_slope, Marker(), b4, Drift(l= 1.), stop_csr]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Initialization tracking method and MagneticLattice object" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# for second order tracking we have to choose SecondTM \n", "method = {\"global\": SecondTM}\n", "\n", "# for first order tracking uncomment next line\n", "# method = {\"global\": TransferMap}\n", "\n", "lat = MagneticLattice(cell, method=method)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create CSR object " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "csr = CSR(n_bin=300, m_bin=5, sigma_min=.2e-6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Track particles with and without CSR effect" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " tracking without CSR effect .... \n", "z = 21.610000676107052 / 21.610000676107052. Applied: \n", " time exec: 0.5144369602203369 sec\n", "\n", " tracking with CSR effect .... \n", "z = 21.610000676107052 / 21.610000676107052. Applied: CSR\n", " time exec: 13.474658012390137 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 = 0.5 # m\n", "\n", "# add csr process to navigator with start and stop elements\n", "navi.add_physics_proc(csr, start_csr, lat.sequence[-1])\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": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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)\n", "plt.savefig(\"arcline_traj.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### display trajectory of the reference particle in CSR region " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 8))\n", "ax1 = plt.subplot(211)\n", "# ax1.plot(self.csr_traj[0, :], self.csr_traj[0, :] -self.csr_traj[3, :], \"r\", label=\"X\")\n", "ax1.plot(csr.csr_traj[0, :], csr.csr_traj[1, :] * 1000, \"r\", label=\"X\")\n", "ax1.plot(csr.csr_traj[0, :], csr.csr_traj[2, :] * 1000, \"b\", label=\"Y\")\n", "plt.legend()\n", "plt.ylabel(\"X/Y [mm]\")\n", "plt.setp(ax1.get_xticklabels(), visible=False)\n", "ax3 = plt.subplot(212, sharex=ax1)\n", "ax3.plot(csr.csr_traj[0, :], csr.csr_traj[1 + 3, :] * 1000, \"r\", label=r\"$X'$\")\n", "ax3.plot(csr.csr_traj[0, :], csr.csr_traj[2 + 3, :] * 1000, \"b\", label=r\"$Y'$\")\n", "plt.legend()\n", "plt.ylabel(r\"$X'/Y'$ [mrad]\")\n", "plt.xlabel(\"s [m]\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }