{ "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 N6. Coupler Kick.\n", "*Second order tracking with coupler kick in TESLA type cavity of the 200k particles.*\n", "\n", "As an example, we will use linac L1 of the European XFEL Injector. \n", "\n", "\n", "The input coupler and the higher order mode couplers of the RF cavities distort the axial symmetry of the electromagnetic (EM) field and affect the electron beam. This effect can be calculated by direct tracking of the particles in the asymmetric (due to the couplers) 3D EM field using a tracking code (e.g. ASTRA). For fast estimation of the coupler effect a discrete coupler model (as described, for example in [M. Dohlus et al, Coupler Kick for Very Short Bunches and its Compensation, Proc. of EPAC08, MOPP013](http://accelconf.web.cern.ch/AccelConf/e08/papers/mopp013.pdf)) was implemented in OCELOT. The 1st order part of the model includes time and offset dependency; the offset dependency has a skew component. To include effect of all couplers, the kicks are applied at the entrance and the exit of each cavity. \n", "\n", "#### This example will cover the following topics:\n", "* Defining the coupler coefficients for Cavity\n", "* tracking of second order with Coupler Kick effect." ] }, { "cell_type": "code", "execution_count": 5, "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", "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", "# import lattice\n", "from xfel_l1 import *" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tws0 = Twiss()\n", "tws0.E = 0.005\n", "\n", "tws0.beta_x = 7.03383607232\n", "tws0.beta_y = 4.83025657816\n", "tws0.alpha_x = 0.981680481977\n", "tws0.alpha_y = -0.524776086698\n", "tws0.E = 0.1300000928\n", "\n", "lat = MagneticLattice(cell_l1, start=bpmf_103_i1, stop=qd_210_b1)\n", "\n", "# twiss parameters without coupler kick\n", "tws1 = twiss(lat, tws0)\n", "\n", "\n", "# adding coupler coefficients\n", "for elem in lat.sequence:\n", " if elem.__class__ == Cavity and not(\".AH1.\" in elem.id) and not(\".A1.\" in elem.id):\n", " elem.coupler_kick = True\n", " elem.vx_up = -56.813 + 10.751j\n", " elem.vy_up = -41.091 + 0.5739j\n", " elem.vxx_up = 0.99943 - 0.81401j\n", " elem.vxy_up = 3.4065 - 0.4146j\n", " elem.vx_down = -24.014 + 12.492j\n", " elem.vy_down = 36.481 + 7.9888j\n", " elem.vxx_down = -4.057 - 0.1369j\n", " elem.vxy_down = 2.9243 - 0.012891j\n", "\n", "# update transfer maps\n", "lat.update_transfer_maps()\n", "tws = twiss(lat, tws0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Twiss parameters with and without coupler kick" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pZDS4Ukp5zt9/S72lo0d9K5k9sTZtZHXdpElO9yRzJk+WrW2OH3dvu7qJs1LZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bx0 = [tw.beta_x for tw in tws1]\n", "by0 = [tw.beta_y for tw in tws1]\n", "s0 = [tw.s for tw in tws1]\n", "\n", "bx = [tw.beta_x for tw in tws]\n", "by = [tw.beta_y for tw in tws]\n", "s = [tw.s for tw in tws]\n", "\n", "fig, ax = plot_API(lat, legend=False)\n", "ax.plot(s0, bx0, \"b\", lw=1, label=r\"$\\beta_x$\")\n", "ax.plot(s, bx, \"b--\", lw=1, label=r\"$\\beta_x$, CK\")\n", "ax.plot(s0, by0, \"r\", lw=1, label=r\"$\\beta_y$\")\n", "ax.plot(s, by, \"r--\", lw=1, label=r\"$\\beta_y$, CK\")\n", "ax.set_ylabel(r\"$\\beta_{x,y}$, m\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Trajectories with Coupler Kick" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tyg23YoXKffOb38BJJ8EZZ8D8+SpJ4BAhOCCA1KAgUrvKttwO6bfwFDQ1UdBO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ocelot.cpbd.track import lattice_track\n", "\n", "for a in np.arange(-0.6, 0.6, 0.1):\n", " cix_118_i1.angle = a*0.001\n", " lat.update_transfer_maps()\n", " p = Particle(px=0, E=0.150-0.02)\n", " plist = lattice_track(lat, p)\n", " s = [p.s for p in plist]\n", " x = [p.x for p in plist]\n", " y = [p.y for p in plist]\n", " px = [p.px for p in plist]\n", " py = [p.py for p in plist]\n", " plt.subplot(211)\n", " plt.plot(s, x)\n", " plt.subplot(212)\n", " plt.plot(s, y)\n", "plt.show()" ] }, { "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" } }, "nbformat": 4, "nbformat_minor": 2 }