{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "The aim of this notebook is to setup a simple sequence to test the effect of one single beam-beam encounter.\n", "It is a very interesting exercise to see the convention and the logic used in MADX." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": "'/afs/cern.ch/user/a/apoyet'" }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pwd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "/cvmfs/sft.cern.ch/lcg/views/LCG_96python3/x86_64-centos7-gcc8-opt/bin/python\n" } ], "source": [ "!which python" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from cpymad.madx import Madx\n", "import numpy as np\n", "from cl2pd import particle\n", "import matplotlib.pyplot as plt\n", "get_ipython().magic('matplotlib inline')\n", "%config InlineBackend.figure_format = 'retina' # retina display" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Functions\n", "---\n", "For convenience" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# https://www.overleaf.com/2212514949wpzxkswydwcb (please put Werner or similar)\n", "def BBKick(x,Np,gamma_r, sigma):\n", " r_p=1.53e-18\n", " if x==0:\n", " return(0)\n", " else:\n", " return 2*r_p*Np/gamma_r/x*(1-np.exp(-x**2/(2*sigma**2)))\n", "\n", "BBKickVector=np.vectorize(BBKick)\n", "\n", "def trackIt(onepass='false', plotAnalytical=True):\n", " points=51\n", " x_range= np.linspace(-.002,.002,points)\n", " myString=f'track, onepass={onepass};\\n'\n", " for myX in x_range:\n", " myString+=f'''start,x={myX};\\n'''\n", " myString+='observe, place=myBB1;run, turns=1; endtrack;\\n'\n", " madx.input(myString)\n", " plt.plot(x_range*1000,[madx.table[i].dframe()['px'].values[0]*1e6 for i in list(madx.table)[(3+points):]],'ob', label='Numerical')\n", " if plotAnalytical:\n", " plt.plot(x_range*1000,BBKickVector(x_range, npart, gamma, sigma_x)*1e6,'r',label='Analytical reference')\n", " #aux=plt.ylim()\n", " #plt.plot([xma*1000, xma*1000],aux)\n", " #plt.ylim(aux)\n", " plt.grid(True)\n", " plt.xlabel('[mm]')\n", " plt.ylabel('[$\\mu$rad]')\n", " plt.legend(loc='best')\n", " \n", "def twissDF(col = ['x', 'y', 'px', 'py']):\n", " display(madx.table.twiss.dframe()[col])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# I - Transfer Line\n", "---\n", "\n", "## 1) Effect of a beam-beam element\n", "\n", "We start with a simple transfer line, composed of an IP and a beam-beam element. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:24:03 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \n" } ], "source": [ "madx = Madx()\n", "# all quantities in MADX units\n", "betax_IP=0.25 # beta_x at the IP. The IP is the start of the sequence\n", "betay_IP=0.25 # beta_y at the IP. The IP is the start of the sequence\n", "positionBB=10 # position of the BB and end of the transfer lin\n", "totalEnergy=6500 # beam total energy\n", "emittanceNormalized=3.5e-6 # we assume same h/v normalized emittance\n", "npart=1.15e11 # number of particle in the strong beam\n", "xma=0 # x position of the strong beam center wrt the weak beam reference\n", "yma=0 # y position of the strong beam center wrt the weak beam reference\n", "\n", "gamma=particle.setTotalEnergy_GeV(6500)['relativisticGamma']\n", "betagamma=particle.setTotalEnergy_GeV(6500)['relativisticBetaGamma']\n", "betax_BB=betax_IP+positionBB**2/betax_IP # we are in a drift\n", "betay_BB=betax_IP+positionBB**2/betay_IP # we are in a drift\n", "sigma_x=np.sqrt(betax_BB*emittanceNormalized/betagamma) \n", "sigma_y=np.sqrt(betay_BB*emittanceNormalized/betagamma)\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=+1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy}, npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a look to the twiss we get." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
xypxpy
#s0.00.00.00.0
drift_0[0]0.00.00.00.0
mybb10.00.00.00.0
#e0.00.00.00.0
\n
", "text/plain": " x y px py\n#s 0.0 0.0 0.0 0.0\ndrift_0[0] 0.0 0.0 0.0 0.0\nmybb1 0.0 0.0 0.0 0.0\n#e 0.0 0.0 0.0 0.0" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "twissDF()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TWISS function of MAD-X gives the position and momenta of the particle with respect to the reference orbit. In this particular case, this reference orbit is not affected by the presence of the beam-beam kick. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "enter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 277, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line');\n", "\n", "#plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TRACK function is expressing the positions and kicks with respect to the closed orbit it the *onepass* argument is set to *False* (by default). In this first example, since the *bborbit* flag is set to *False* as well, the dipolar effect of the beam-beam kick on the closed orbit vanishes, and the tracking result correspond to the analytical reference. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2) Beam declaration and beam-beam kick\n", "\n", "This section aims to understand the link between the beam declaration and the beam-beam kick. For instance, by not declaring the weak beam intensity, the latter is set to zero and therefore no kick is obviously visible. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:27:47 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \nenter TRACK module\n Singular matrix occurred during closed orbit search.\n Singular matrix occurred during closed orbit search.\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 261, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=+1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "trackIt()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modifying the intensity of the declared beam therefore changes the intensity of the weak beam. In order to change virtually the intensity of the strong beam, one can change the charge of the beam-beam element. For instance, if one multiplies it by 2. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:28:00 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \n" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=+2, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "enter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 291, "width": 408 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line\\nDouble Beam-Beam Charge');\n", "\n", "#plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line_double.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The kick is obviously doubled. One can also check that the TWISS table does not change. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
xypxpy
#s0.00.00.00.0
drift_0[0]0.00.00.00.0
mybb10.00.00.00.0
#e0.00.00.00.0
\n
", "text/plain": " x y px py\n#s 0.0 0.0 0.0 0.0\ndrift_0[0] 0.0 0.0 0.0 0.0\nmybb1 0.0 0.0 0.0 0.0\n#e 0.0 0.0 0.0 0.0" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "twissDF()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obviously, by setting the charge to 0, one switches OFF the BB element. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:28:25 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \nenter TRACK module\n Singular matrix occurred during closed orbit search.\n Singular matrix occurred during closed orbit search.\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 261, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=0, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "trackIt()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can also swap the sign of the charge of the BB element. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:28:37 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \nenter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 261, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=-1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "trackIt()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the kick is the same, with an opposite sign. \n", "\n", "In the BB element, one argument (*bbdir*) sets the direction of the strong beam. By default, this argument is set to -1: beams move in opposite direction as in a collider. The Lorentz force enhances the BB interactions. If this argument is set to +1, the beams move in the same direction. This is for instance used in the case of an electron cooler. First, let us simply set the *bbdir* to +1, not defining any other beam, and leaving the charge of the BB element to +1. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:29:05 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \n" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=+1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "enter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", "text/plain": "
" }, "metadata": { "image/png": { "height": 291, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line\\nbbdir = +1');\n", "\n", "#plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line_bbdir.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two beams circulate in the same direction, the kick therefore cancels out. By setting the charge of the BB element to -1, the same result is expected and obtained since the two beams are considered to be ultra relativistic. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:30:07 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \nenter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 291, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=-1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "\n", "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line\\nbbdir = +1, charge = -1');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expect, the kick cancels out. \n", "\n", "From MAD-X manual, it is important to underline that:\n", "- The BB element assumes a strong beam. Its intensity therefore cannot be changed. The only *trick* is to play with the charge parameter. \n", "- The energy of the strong beam is assumed to be the same as the unperturbed particles of the weak beam. This feature cannot be modified. \n", "Clearly, the beam definition in MAD-X correspond to a definition of the weak beam of interest and does not affect the BB element. \n", "\n", "## 3) BB kick and energy\n", "\n", "The weak beam energy plays an important role. The BB kick is indeed not normlized to the energy. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:30:19 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \nenter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 291, "width": 408 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy/2},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "\n", "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line\\nEnergy divided by two');\n", "\n", "#plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line_nrj.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4) BB Element with offset\n", "\n", "Let us now consider a horizontal offset. We set the *xma* argument to 0.25 mm. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "\n ++++++++++++++++++++++++++++++++++++++++++++\n + MAD-X 5.05.01 (64 bit, Linux) +\n + Support: mad@cern.ch, http://cern.ch/mad +\n + Release date: 2019.06.07 +\n + Execution date: 2019.11.13 11:31:20 +\n ++++++++++++++++++++++++++++++++++++++++++++\nenter Twiss module\n \nopen line - error with deltap: 0.000000E+00\ninitial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nfinal orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\n++++++ table: summ\n\n length orbit5 alfa gammatr \n 10 -0 0 0 \n\n q1 dq1 betxmax dxmax \n 0.246021955 0 400.25 0 \n\n dxrms xcomax xcorms q2 \n 0 0 0 0.246021955 \n\n dq2 betymax dymax dyrms \n 0 400.25 0 0 \n\n ycomax ycorms deltap synch_1 \n 0 0 0 0 \n\n synch_2 synch_3 synch_4 synch_5 \n 0 0 0 0 \n\n nflips \n 0 \nenter TRACK module\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n \niteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n\nFull 6D closed orbit search.\nInitial value of 6-D closed orbit from Twiss: \norbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n Singular matrix occurred during closed orbit search.\n\n6D closed orbit found by subroutine trclor \niteration: 2 error: 2.918340E-07 deltap: 0.000000E+00\norbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\nexit TRACK module\n\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "image/png": { "height": 292, "width": 402 }, "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "xma=0.00025\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "\n", "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line\\n$xma$ = 0.25 mm - bborbit = False - onepass = False');\n", "\n", "#plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line_off_false_false.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": "
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xypxpy
#s0.00.00.00.0
drift_0[0]0.00.00.00.0
mybb10.00.00.00.0
#e0.00.00.00.0
\n
", "text/plain": " x y px py\n#s 0.0 0.0 0.0 0.0\ndrift_0[0] 0.0 0.0 0.0 0.0\nmybb1 0.0 0.0 0.0 0.0\n#e 0.0 0.0 0.0 0.0" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "twissDF()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**WARNING**" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", " + MAD-X 5.05.01 (64 bit, Linux) +\n", " + Support: mad@cern.ch, http://cern.ch/mad +\n", " + Release date: 2019.06.07 +\n", " + Execution date: 2019.11.01 15:11:27 +\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", "enter Twiss module\n", " \n", "open line - error with deltap: 0.000000E+00\n", "initial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "final orbit vector: 0.000000E+00 -2.918340E-08 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "++++++ table: summ\n", "\n", " length orbit5 alfa gammatr \n", " 10 -0 0 0 \n", "\n", " q1 dq1 betxmax dxmax \n", " 0.246021955 0 400.25 0 \n", "\n", " dxrms xcomax xcorms q2 \n", " 0 0 0 0.246021955 \n", "\n", " dq2 betymax dymax dyrms \n", " 0 400.25 0 0 \n", "\n", " ycomax ycorms deltap synch_1 \n", " 0 0 0 0 \n", "\n", " synch_2 synch_3 synch_4 synch_5 \n", " 0 0 0 0 \n", "\n", " nflips \n", " 0 \n" ] } ], "source": [ "madx = Madx()\n", "xma=0.00025\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=true;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "enter TRACK module\n", " \n", "iteration: 1 error: 2.918340E-08 deltap: 0.000000E+00\n", "orbit: 2.943113E-04 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 1 error: 2.918340E-08 deltap: 0.000000E+00\n", "orbit: 2.943113E-04 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "Full 6D closed orbit search.\n", "Initial value of 6-D closed orbit from Twiss: \n", "orbit0 2.943113E-04 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " Singular matrix occurred during closed orbit search.\n", "\n", "6D closed orbit found by subroutine trclor \n", "iteration: 2 error: 5.569057E-08 deltap: 0.000000E+00\n", "orbit: 2.943113E-04 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "exit TRACK module\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 292, "width": 402 } }, "output_type": "display_data" } ], "source": [ "trackIt()\n", "plt.gca().set_title('BB Kick in a simple transfer line\\n$xma$ = 0.25 mm - bborbit = True - onepass = False');\n", "\n", "plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line_off_true_false.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But if we use *onepass='true'*. Note that the closed orbit is not computed during the tracking (**6D closed orbit found by subroutine trclor** not present in the output)." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", " + MAD-X 5.05.01 (64 bit, Linux) +\n", " + Support: mad@cern.ch, http://cern.ch/mad +\n", " + Release date: 2019.06.07 +\n", " + Execution date: 2019.11.01 16:09:37 +\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", "enter Twiss module\n", " \n", "open line - error with deltap: 0.000000E+00\n", "initial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "final orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "++++++ table: summ\n", "\n", " length orbit5 alfa gammatr \n", " 10 -0 0 0 \n", "\n", " q1 dq1 betxmax dxmax \n", " 0.246021955 0 400.25 0 \n", "\n", " dxrms xcomax xcorms q2 \n", " 0 0 0 0.246021955 \n", "\n", " dq2 betymax dymax dyrms \n", " 0 400.25 0 0 \n", "\n", " ycomax ycorms deltap synch_1 \n", " 0 0 0 0 \n", "\n", " synch_2 synch_3 synch_4 synch_5 \n", " 0 0 0 0 \n", "\n", " nflips \n", " 0 \n" ] } ], "source": [ "madx = Madx()\n", "xma=0.00025\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "enter TRACK module\n", "one pass is on\n", "exit TRACK module\n", "\n" ] }, { "data": { 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\n", 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" ] }, "metadata": { "image/png": { "height": 292, "width": 402 } }, "output_type": "display_data" } ], "source": [ "trackIt(onepass='true')\n", "plt.gca().set_title('BB Kick in a simple transfer line\\n$xma$ = 0.25 mm - bborbit = True - onepass = True');\n", "\n", "plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/simple_transfer_line_off_true_true.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With onepass='true' the bborbit flag is not relevant. Note that the closed orbit is not computed during the tracking." ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", " + MAD-X 5.05.01 (64 bit, Linux) +\n", " + Support: mad@cern.ch, http://cern.ch/mad +\n", " + Release date: 2019.06.07 +\n", " + Execution date: 2019.10.30 18:37:09 +\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", "enter Twiss module\n", " \n", "open line - error with deltap: 0.000000E+00\n", "initial orbit vector: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "final orbit vector: 0.000000E+00 -2.918340E-08 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "++++++ table: summ\n", "\n", " length orbit5 alfa gammatr \n", " 10 -0 0 0 \n", "\n", " q1 dq1 betxmax dxmax \n", " 0.246021955 0 400.25 0 \n", "\n", " dxrms xcomax xcorms q2 \n", " 0 0 0 0.246021955 \n", "\n", " dq2 betymax dymax dyrms \n", " 0 400.25 0 0 \n", "\n", " ycomax ycorms deltap synch_1 \n", " 0 0 0 0 \n", "\n", " synch_2 synch_3 synch_4 synch_5 \n", " 0 0 0 0 \n", "\n", " nflips \n", " 0 \n", "enter TRACK module\n", "one pass is on\n", "exit TRACK module\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 261, "width": 402 } }, "output_type": "display_data" } ], "source": [ "madx = Madx()\n", "xma=0.00025\n", "madx.input(\n", "f'''\n", "option,echo=false,warn=false,info=false;\n", "myBB : beambeam, charge=1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "\n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy},npart={npart};\n", "\n", "use, sequence=lhc;\n", "\n", "option, bborbit=true;\n", "twiss,betx={betax_IP},bety={betay_IP};\n", "''');\n", "trackIt(onepass='true')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Second part\n", "Let us close the machine with a linear matrix and repeat the analysis." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", " + MAD-X 5.05.01 (64 bit, Linux) +\n", " + Support: mad@cern.ch, http://cern.ch/mad +\n", " + Release date: 2019.06.07 +\n", " + Execution date: 2019.11.03 18:46:28 +\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", "enter Twiss module\n", " \n", "iteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "++++++ table: summ\n", "\n", " length orbit5 alfa gammatr \n", " 10 -0 0 0 \n", "\n", " q1 dq1 betxmax dxmax \n", " 0.3060066586 -3.148841555 396.4369155 0 \n", "\n", " dxrms xcomax xcorms q2 \n", " 0 0 0 0.3160103551 \n", "\n", " dq2 betymax dymax dyrms \n", " -3.143051886 395.7070688 0 0 \n", "\n", " ycomax ycorms deltap synch_1 \n", " 0 0 0 0 \n", "\n", " synch_2 synch_3 synch_4 synch_5 \n", " 0 0 0 0 \n", "\n", " nflips \n", " 0 \n" ] } ], "source": [ "madx = Madx()\n", "\n", "################################################################################################\n", "\n", "xma = 0\n", "betax1=betax_BB\n", "betax2=betax_IP\n", "alfx1=-positionBB/betax_IP\n", "alfx2=0\n", "mux12=.31-np.arctan(positionBB/betax_IP)/2/np.pi\n", "\n", "RM11=np.sqrt(betax2/betax1)*(np.cos(2*np.pi*mux12)+alfx1*np.sin(2*np.pi*mux12))\n", "RM12=np.sqrt(betax1*betax2)*np.sin(2*np.pi*mux12)\n", "RM21=-(1+alfx1*alfx2)/np.sqrt(betax1*betax2)*np.sin(2*np.pi*mux12)+\\\n", "(alfx1-alfx2)/np.sqrt(betax1*betax2)*np.cos(2*np.pi*mux12)\n", "RM22=np.sqrt(betax1/betax2)*(np.cos(2*np.pi*mux12)-alfx2*np.sin(2*np.pi*mux12))\n", "\n", "betay1=betay_BB\n", "betay2=betay_IP\n", "alfy1=-positionBB/betay_IP\n", "alfy2=0\n", "muy12=.32-np.arctan(positionBB/betay_IP)/2/np.pi\n", "\n", "RM33=np.sqrt(betay2/betay1)*(np.cos(2*np.pi*muy12)+alfy1*np.sin(2*np.pi*muy12))\n", "RM34=np.sqrt(betay2*betay1)*np.sin(2*np.pi*muy12)\n", "RM43=-(1+alfy1*alfy2)/np.sqrt(betay1*betay2)*np.sin(2*np.pi*muy12)+\\\n", "(alfy1-alfy2)/np.sqrt(betay1*betay2)*np.cos(2*np.pi*muy12)\n", "RM44=np.sqrt(betay1/betay2)*(np.cos(2*np.pi*muy12)-alfy2*np.sin(2*np.pi*muy12))\n", "\n", "################################################################################################\n", "\n", "\n", "madx.input(\n", "f'''\n", "\n", "myBB : beambeam, charge=+1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "myMatrix: MATRIX, L=0, RM11={RM11}, RM12={RM12}, RM21={RM21}, RM22={RM22},\n", " RM33={RM33}, RM34={RM34}, RM43={RM43}, RM44={RM44};\n", " \n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "myMatrix1: myMatrix, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy}, npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss;\n", "option,echo=false,warn=false,info=false;\n", "''');" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "enter TRACK module\n", " \n", "iteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "Full 6D closed orbit search.\n", "Initial value of 6-D closed orbit from Twiss: \n", "orbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " Singular matrix occurred during closed orbit search.\n", "\n", "6D closed orbit found by subroutine trclor \n", "iteration: 2 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "exit TRACK module\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 292, "width": 402 } }, "output_type": "display_data" } ], "source": [ "trackIt(onepass='false')\n", "\n", "plt.gca().set_title('BB Kick in a circular machine\\n$xma$ = 0 mm - bborbit = False - onepass = False');\n", "\n", "plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/circular_no_off_false_false.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " x y\n", "#s 0.0 0.0\n", "drift_0[0] 0.0 0.0\n", "mybb1 0.0 0.0\n", "mymatrix1 0.0 0.0\n", "#e 0.0 0.0" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "madx.table.twiss.dframe()[['x','y']]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", " + MAD-X 5.05.01 (64 bit, Linux) +\n", " + Support: mad@cern.ch, http://cern.ch/mad +\n", " + Release date: 2019.06.07 +\n", " + Execution date: 2019.11.03 18:46:54 +\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", "enter Twiss module\n", " \n", "iteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "++++++ table: summ\n", "\n", " length orbit5 alfa gammatr \n", " 10 -0 0 0 \n", "\n", " q1 dq1 betxmax dxmax \n", " 0.3068538274 -3.155891822 397.2188984 0 \n", "\n", " dxrms xcomax xcorms q2 \n", " 0 0 0 0.3163018159 \n", "\n", " dq2 betymax dymax dyrms \n", " -3.145881471 396.0270557 0 0 \n", "\n", " ycomax ycorms deltap synch_1 \n", " 0 0 0 0 \n", "\n", " synch_2 synch_3 synch_4 synch_5 \n", " 0 0 0 0 \n", "\n", " nflips \n", " 0 \n" ] } ], "source": [ "madx = Madx()\n", "\n", "################################################################################################\n", "\n", "xma = 0.00025\n", "betax1=betax_BB\n", "betax2=betax_IP\n", "alfx1=-positionBB/betax_IP\n", "alfx2=0\n", "mux12=.31-np.arctan(positionBB/betax_IP)/2/np.pi\n", "\n", "RM11=np.sqrt(betax2/betax1)*(np.cos(2*np.pi*mux12)+alfx1*np.sin(2*np.pi*mux12))\n", "RM12=np.sqrt(betax1*betax2)*np.sin(2*np.pi*mux12)\n", "RM21=-(1+alfx1*alfx2)/np.sqrt(betax1*betax2)*np.sin(2*np.pi*mux12)+\\\n", "(alfx1-alfx2)/np.sqrt(betax1*betax2)*np.cos(2*np.pi*mux12)\n", "RM22=np.sqrt(betax1/betax2)*(np.cos(2*np.pi*mux12)-alfx2*np.sin(2*np.pi*mux12))\n", "\n", "betay1=betay_BB\n", "betay2=betay_IP\n", "alfy1=-positionBB/betay_IP\n", "alfy2=0\n", "muy12=.32-np.arctan(positionBB/betay_IP)/2/np.pi\n", "\n", "RM33=np.sqrt(betay2/betay1)*(np.cos(2*np.pi*muy12)+alfy1*np.sin(2*np.pi*muy12))\n", "RM34=np.sqrt(betay2*betay1)*np.sin(2*np.pi*muy12)\n", "RM43=-(1+alfy1*alfy2)/np.sqrt(betay1*betay2)*np.sin(2*np.pi*muy12)+\\\n", "(alfy1-alfy2)/np.sqrt(betay1*betay2)*np.cos(2*np.pi*muy12)\n", "RM44=np.sqrt(betay1/betay2)*(np.cos(2*np.pi*muy12)-alfy2*np.sin(2*np.pi*muy12))\n", "\n", "################################################################################################\n", "\n", "\n", "madx.input(\n", "f'''\n", "\n", "myBB : beambeam, charge=+1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "myMatrix: MATRIX, L=0, RM11={RM11}, RM12={RM12}, RM21={RM21}, RM22={RM22},\n", " RM33={RM33}, RM34={RM34}, RM43={RM43}, RM44={RM44};\n", " \n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "myMatrix1: myMatrix, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy}, npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=false;\n", "twiss;\n", "option,echo=false,warn=false,info=false;\n", "''');" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "enter TRACK module\n", " \n", "iteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 1 error: 0.000000E+00 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "Full 6D closed orbit search.\n", "Initial value of 6-D closed orbit from Twiss: \n", "orbit0 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " Singular matrix occurred during closed orbit search.\n", "\n", "6D closed orbit found by subroutine trclor \n", "iteration: 2 error: 7.811467E-07 deltap: 0.000000E+00\n", "orbit: 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "exit TRACK module\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 292, "width": 402 } }, "output_type": "display_data" } ], "source": [ "trackIt(onepass='false')\n", "\n", "plt.gca().set_title('BB Kick in a circular machine\\n$xma$ = 0.25 mm - bborbit = False - onepass = False');\n", "\n", "plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/circular_off_false_false.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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#s0.00.0
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" ], "text/plain": [ " x y\n", "#s 0.0 0.0\n", "drift_0[0] 0.0 0.0\n", "mybb1 0.0 0.0\n", "mymatrix1 0.0 0.0\n", "#e 0.0 0.0" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "madx.table.twiss.dframe()[['x','y']]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the the CO (TWISS summary) is vanishing. The bborbit=false removed the dipolar kick.\n", "If you put bborbit=true the CO is not vanisching any more (see below) but the tracking (done with respect to the CO) is identical to the one of the previous cell." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", " + MAD-X 5.05.01 (64 bit, Linux) +\n", " + Support: mad@cern.ch, http://cern.ch/mad +\n", " + Release date: 2019.06.07 +\n", " + Execution date: 2019.11.03 18:54:45 +\n", " ++++++++++++++++++++++++++++++++++++++++++++\n", "enter Twiss module\n", " \n", "iteration: 1 error: 1.062880E-06 deltap: 0.000000E+00\n", "orbit: -1.503032E-07 -3.764494E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 2 error: 5.505604E-11 deltap: 0.000000E+00\n", "orbit: -1.502954E-07 -3.764299E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "++++++ table: summ\n", "\n", " length orbit5 alfa gammatr \n", " 10 -0 1.897589662e-12 725936.8575 \n", "\n", " q1 dq1 betxmax dxmax \n", " 0.310852246 -3.15401059 397.0171297 4.855229865e-05 \n", "\n", " dxrms xcomax xcorms q2 \n", " 3.074265707e-05 3.91459474e-06 2.47854272e-06 0.3202849283 \n", "\n", " dq2 betymax dymax dyrms \n", " -3.143647486 395.7580851 -0 0 \n", "\n", " ycomax ycorms deltap synch_1 \n", " 0 0 0 0 \n", "\n", " synch_2 synch_3 synch_4 synch_5 \n", " 0 0 0 0 \n", "\n", " nflips \n", " 0 \n" ] } ], "source": [ "madx = Madx()\n", "\n", "################################################################################################\n", "\n", "betax1=betax_BB\n", "betax2=betax_IP\n", "alfx1=-positionBB/betax_IP\n", "alfx2=0\n", "mux12=.31-np.arctan(positionBB/2/betax_IP)/2/np.pi\n", "\n", "RM11=np.sqrt(betax2/betax1)*(np.cos(2*np.pi*mux12)+alfx1*np.sin(2*np.pi*mux12))\n", "RM12=np.sqrt(betax1*betax2)*np.sin(2*np.pi*mux12)\n", "RM21=-(1+alfx1*alfx2)/np.sqrt(betax1*betax2)*np.sin(2*np.pi*mux12)+\\\n", "(alfx1-alfx2)/np.sqrt(betax1*betax2)*np.cos(2*np.pi*mux12)\n", "RM22=np.sqrt(betax1/betax2)*(np.cos(2*np.pi*mux12)-alfx2*np.sin(2*np.pi*mux12))\n", "\n", "betay1=betay_BB\n", "betay2=betay_IP\n", "alfy1=-positionBB/betay_IP\n", "alfy2=0\n", "muy12=.32-np.arctan(positionBB/2/betay_IP)/2/np.pi\n", "\n", "RM33=np.sqrt(betay2/betay1)*(np.cos(2*np.pi*muy12)+alfy1*np.sin(2*np.pi*muy12))\n", "RM34=np.sqrt(betay2*betay1)*np.sin(2*np.pi*muy12)\n", "RM43=-(1+alfy1*alfy2)/np.sqrt(betay1*betay2)*np.sin(2*np.pi*muy12)+\\\n", "(alfy1-alfy2)/np.sqrt(betay1*betay2)*np.cos(2*np.pi*muy12)\n", "RM44=np.sqrt(betay1/betay2)*(np.cos(2*np.pi*muy12)-alfy2*np.sin(2*np.pi*muy12))\n", "\n", "################################################################################################\n", "\n", "\n", "madx.input(\n", "f'''\n", "\n", "myBB : beambeam, charge=+1, sigx={sigma_x}, sigy={sigma_y}, xma={xma}, yma={yma}, bbshape=1, bbdir=-1;\n", "myMatrix: MATRIX, L=0, RM11={RM11}, RM12={RM12}, RM21={RM21}, RM22={RM22},\n", " RM33={RM33}, RM34={RM34}, RM43={RM43}, RM44={RM44};\n", " \n", "lhc: sequence, l={positionBB};\n", "myBB1: myBB, at={positionBB};\n", "myMatrix1: myMatrix, at={positionBB};\n", "endsequence;\n", "\n", "beam, particle=proton, energy={totalEnergy}, npart={npart};\n", "use, sequence=lhc;\n", "\n", "option, bborbit=true;\n", "twiss;\n", "option,echo=false,warn=false,info=false;\n", "''');" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "enter TRACK module\n", " \n", "iteration: 1 error: 1.062880E-06 deltap: 0.000000E+00\n", "orbit: -1.503032E-07 -3.764494E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 2 error: 5.505604E-11 deltap: 0.000000E+00\n", "orbit: -1.502954E-07 -3.764299E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 1 error: 1.062880E-06 deltap: 0.000000E+00\n", "orbit: -1.503032E-07 -3.764494E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " \n", "iteration: 2 error: 5.505604E-11 deltap: 0.000000E+00\n", "orbit: -1.502954E-07 -3.764299E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "\n", "Full 6D closed orbit search.\n", "Initial value of 6-D closed orbit from Twiss: \n", "orbit0 -1.502954E-07 -3.764299E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", " Singular matrix occurred during closed orbit search.\n", "\n", "6D closed orbit found by subroutine trclor \n", "iteration: 2 error: 7.087664E-13 deltap: 0.000000E+00\n", "orbit: -1.502954E-07 -3.764299E-07 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00\n", "exit TRACK module\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 292, "width": 402 } }, "output_type": "display_data" } ], "source": [ "trackIt(onepass='false')\n", "plt.gca().set_title('BB Kick in a circular machine\\n$xma$ = 0.25 mm - bborbit = True - onepass = False');\n", "\n", "plt.savefig('/eos/user/a/apoyet/localMac/PLOTS/bb_effect/circular_off_true_false.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", "
" ], "text/plain": [ " x y\n", "#s -1.502954e-07 0.0\n", "drift_0[0] -3.914595e-06 0.0\n", "mybb1 -3.914595e-06 0.0\n", "mymatrix1 -1.502954e-07 0.0\n", "#e -1.502954e-07 0.0" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "madx.table.twiss.dframe()[['x','y']]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "CONCLUSIONS: Axel will do it so I can check how clear the notebook was." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "enter TRACK module\n", "one pass is on\n", "exit TRACK module\n", "\n" ] }, { "data": { "image/png": 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\n", 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