{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by Sergey Tomin (sergey.tomin@desy.de) who was inspired by questions from E.R. Source and license info is on [GitHub](https://github.com/iagapov/ocelot/tree/dev/docs). June 2017.* " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tutorial N7. Lattice design. Matching. Twiss back tracking.\n", "### Outline\n", "* FODO lattice (undulator section) with desiring max and min twiss parameters. \n", "* Back tracking through chicanes \n", "* Matching of twiss parameters in matching sections\n", "\n", "### Introduction \n", "In this tutorial we are going to design the simplest FEL lattice for external seeding option. \n", "The desire lattice is:\n", "- matching section - modulator - chicane - modulator - chicane - FODO.\n", "\n", "FODO in that case is undulator section:\n", "- undulator - QF - undulator - QD - undulator - QF - .... \n", "\n", "where QF, QD - focusing and defocusing quadrupoles. \n", "\n", "**And suppose we know**: \n", "1. max and min values for the betas in the undulator section.\n", "2. chicanes geometry and parameters are defined. \n", "3. twiss parameters on the entrance of the matching section. \n", "\n", "We can solve this task in many ways (and even more simply), *but to cover all topics we will do it in a few steps*:\n", "\n", "1. the matching of twiss parameters in FODO lattice to find desired amplitudes of the beta functions. \n", "2. back tracking of the beta through *modulator - chicane - modulator - chicane* \n", "3. matching quadrupoles in the matching section\n", "\n", "\n", "#### Optics design and matching\n", "\n", "Optics design is the art (still) and a few people in the world can do really good design (and author of this notebook is not one of them (so far :)). \n", "\n", "The matching techniques barely help you if your initial geometry or initial conditions are poor. In this example, we are not aiming to make a good design but just show an example of usage some matching functions. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initializing ocelot...\n" ] } ], "source": [ "# the output of plotting commands is displayed inline within \n", "# frontends, 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) \n", "# 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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1. FODO lattice matching \n", "### Design the simplest FODO lattice" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# example of the FODO\n", "U = Undulator(nperiods=50, lperiod=0.04, Kx=1)\n", "D = Drift(l=0.5)\n", "QF = Quadrupole(l=0.25, k1=1)\n", "QD = Quadrupole(l=0.25, k1=-1)\n", "\n", "M1 = Marker()\n", "cell = (M1, QF, D, U, D, QD, QD, D, U, D, QF)\n", "\n", "# suppose we have 5 cells or 10 undulators\n", "fodo = cell*5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Periodic solution for FODO lattice\n", "**Note**\n", "\n", "* In the most cases to find twiss periodical solution we do not need to put the initial conditions and we can use following command to calculate twiss parameters:\n", "**tws = twiss(lat)** \n", "\n", "**BUT**\n", "\n", "* To take into account undulator vertical focusing effect we have to define the energy of the electron beam. and in that case we have to define initial condition like that: \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create MagneticLattice object\n", "lat_fodo = MagneticLattice(fodo)\n", "\n", "tws0 = Twiss()\n", "# by default the all parameters are zero and \n", "# that what we need to force the twiss function \n", "# to calculate periodic solution\n", "\n", "# print(tws0)\n", "\n", "# And we need to define the beam energy\n", "tws0.E = 1 # GeV\n", "\n", "tws = twiss(lat_fodo, tws0=tws0)\n", "\n", "plot_opt_func(lat_fodo, tws, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Matching\n", "\n", "In Ocelot there is function match() to perform some standard matching procedures. \n", "```python\n", "def match(lat, constr, vars, tw):\n", " ...\n", " return res\n", "```\n", "where \n", "* ```lat```: MagneticLattice\n", "* ```constr```: dictionary, constrains. Example:\n", "\n", " - 'periodic':True - means the \"match\" function tries to find periodic solution at the ends of lattice:\n", " \n", " ```constr = {elem1:{'beta_x':15, 'beta_y':2}, 'periodic':True}``` \n", " \n", " - \"hard\" constrains on the end of elements (elem1, elem2):\n", " \n", " ```constr = {elem1:{'alpha_x':5, 'beta_y':5}, elem2:{'Dx':0 'Dyp':0, 'alpha_x':5, 'beta_y':5}}``` \n", " \n", " - or mixture of \"soft\" and hard constrains:\n", " \n", " ```constr = {elem1:{'alpha_x':[\">\", 5], 'beta_y':5}, elem2:{'Dx':0 'Dyp':0, 'alpha_x':5, 'beta_y':[\">\", 5]}}```\n", " \n", " - in case one needs global control on beta function, the constrains can be written following way.\n", " \n", " ```constr = {elem1:{'alpha_x':5, 'beta_y':5}, 'global': {'beta_x': ['>', 10]}}``` \n", " \n", " \n", "* ```vars```: list of elements which will be varied during optimization, e.g. vars = [QF, QD]\n", " \n", " can be \n", " - Quadrupole (vary strength 'k1'), \n", " - SBend, RBend, Bend (by default vary 'k1' but can be \"angle\"), \n", " - Solenoid (vary strength \"k\"), \n", " - Drift (vary length \"l\")\n", "* ```tw```: Twiss(), initial Twiss\n", "\n", "***Optional arguments:***\n", "\n", "* ```verbose```: True, allow print output of minimization procedure\n", "* ```max_iter```: 1000, number of iterations\n", "* ```method```: string, available 'simplex', 'cg', 'bfgs'\n", "* ```weights```: function returns weights, for example\n", " - ```python\n", " def weights_default(val):\n", " if val == 'periodic': return 10000001.0\n", " if val == 'total_len': return 10000001.0\n", " if val in ['Dx', 'Dy', 'Dxp', 'Dyp']: return 10000002.0\n", " if val in ['alpha_x', 'alpha_y']: return 100007.0\n", " if val in ['mux', 'muy']: return 10000006.0\n", " if val in ['beta_x', 'beta_y']: return 100007.0\n", " return 0.0001\n", " ```\n", "* ```vary_bend_angle```: False, allow to vary \"angle\" of the dipoles instead of the focusing strength \"k1\"\n", "* ```min_i5```: False, minimization of the radiation integral I5. Can be useful for storage rings optimizations.\n", "* ```return``` result" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial value: x = [1, -1]\n", "Optimization terminated successfully.\n", " Current function value: 0.000017\n", " Iterations: 42\n", " Function evaluations: 82\n", "QF.k1 = 1.071039959675296\n", "QD.k1 = -0.8579474979724729\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# constrains\n", "constr = {M1:{'beta_x':15, 'beta_y':2}, 'periodic':True}\n", "\n", "# variables\n", "vars = [QF, QD]\n", "\n", "# initial condition for twiss\n", "tw0=tws[-1]\n", "\n", "match(lat_fodo, constr, vars, tw0, verbose=False)\n", "\n", "# results \n", "print(\"QF.k1 = \", QF.k1)\n", "print(\"QD.k1 = \", QD.k1)\n", "\n", "\n", "tws0=Twiss()\n", "tws0.E = 1 # GeV\n", "\n", "tws = twiss(lat_fodo, tws0=tws0)\n", "\n", "# let's variable *tws_fodo* will be the twiss \n", "# parameters on the FODO entrance \n", "tws_fodo = tws[-1]\n", "\n", "plot_opt_func(lat_fodo, tws, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 2. Chicanes. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# undulator + chicane + undulator + chicane\n", "modulator = Undulator(nperiods=10, lperiod=0.1, Kx = 2)\n", "\n", "# Chicane from CSR example with small modifications \n", "\n", "b1 = Bend(l = 0.5, angle=-0.0336, e1=0.0, e2=-0.0336, gap=0, tilt=0, eid='BB.393.B2')\n", "b2 = Bend(l = 0.5, angle=0.0336, e1=0.0336, e2=0.0, gap=0, tilt=0, eid='BB.402.B2')\n", "b3 = Bend(l = 0.5, angle=0.0336, e1=0.0, e2=0.0336, gap=0, tilt=0, eid='BB.404.B2')\n", "b4 = Bend(l = 0.5, angle=-0.0336, e1=-0.0336, e2=0.0, gap=0, tilt=0, eid='BB.413.B2')\n", "\n", "d = Drift(l=1.5/np.cos(b2.angle))\n", "\n", "start_csr = Marker()\n", "stop_csr = Marker()\n", "\n", "# define chicane frome the bends and drifts\n", "chicane = [start_csr, Drift(l=1), b1, d, b2, \n", " Drift(l=1.5), b3, d, b4, Drift(l= 1.), stop_csr]\n", "\n", "\n", "# For sake of buity add randomly couple of the quadrupoles\n", "\n", "D1 = Drift(l=0.5)\n", "echo = (D1, QF, D1, modulator, D1, QD, chicane, QF, D1, modulator,D1, QD, chicane)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Chicane parameters\n", "For example, one wants to know R56 of the whole chicane. It can be easily calculated" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R56 = -4.1443249349333655 mm\n" ] } ], "source": [ "lat_chic = MagneticLattice(chicane)\n", "# in that case energy is not important we do not have \n", "# energy dependant elements here\n", "R = lattice_transfer_map(lat_chic, energy=0)\n", "print(\"R56 = \", R[4,5]*1000, \"mm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtracking though chicanes.\n", "We know twiss parameters on the entrance of the FODO\n", "but for backtracking we need to \n", "* invert alphas \n", "* and invert the lattice (change the order of the element)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# inverting alphas\n", "\n", "tws2 = Twiss()\n", "tws2.alpha_x = -tws_fodo.alpha_x\n", "tws2.alpha_y = -tws_fodo.alpha_y\n", "tws2.beta_x = tws_fodo.beta_x\n", "tws2.beta_y = tws_fodo.beta_y\n", "\n", "# invert the lattice\n", "echo_inv = echo[::-1]\n", "lat_echo_inv = MagneticLattice(echo_inv)\n", "\n", "# calculate twiss \n", "tws_echo = twiss(lat_echo_inv, tws0=tws2)\n", "tws_echo_inv_end = tws_echo[-1]\n", "\n", "# show the twiss parameters of INVERTED echo\n", "plot_opt_func(lat_echo_inv, tws_echo, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "source": [ "So twiss parameters on the entrance of the echo lattice are: " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# inverting alphas again is needed\n", "tws_e = Twiss()\n", "tws_e.beta_x = tws_echo_inv_end.beta_x\n", "tws_e.beta_y = tws_echo_inv_end.beta_y\n", "tws_e.alpha_x = -tws_echo_inv_end.alpha_x\n", "tws_e.alpha_y = -tws_echo_inv_end.alpha_y\n", "\n", "lat_echo_fodo = MagneticLattice((echo, fodo) )\n", "\n", "tws_all = twiss(lat_echo_fodo, tws_e)\n", "\n", "plot_opt_func(lat_echo_fodo, tws_all, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 3. Matching section" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "Q1 = Quadrupole(l=0.3, k1=1)\n", "Q2 = Quadrupole(l=0.3, k1=1)\n", "Q3 = Quadrupole(l=0.3, k1=1)\n", "Q4 = Quadrupole(l=0.3, k1=1)\n", "\n", "\n", "m1 = Marker()\n", "m2 = Marker()\n", "dm = Drift(l=1.5)\n", "match_sec = (m1, dm, Q1, dm, Q2, dm, Q3, dm, Q4, dm, m2)\n", "\n", "lat_m = MagneticLattice(match_sec[::-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Matching\n", "As it was mentioned above, matching will not give you desired values if your geometry of initial conditions are poor. Because our goal is not a good design but showing the concept of OCELOT usage, we choose very relax condition. \n", "Twiss parameters on the entrance of the matching section:\n", "\n", "- beta_x = 5 \n", "- beta_y = 5\n", "- alpha_x = not defined\n", "- alpha_y = not defined\n", "\n", "the twiss parameters on the exit of matching section are defined by echo section" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial value: x = [1, 1, 1, 1]\n", "Optimization terminated successfully.\n", " Current function value: 214917575.120251\n", " Iterations: 106\n", " Function evaluations: 197\n", "Q1.k1 = 2.355853351631101\n", "Q2.k1 = -1.3155292135369026\n", "Q3.k1 = -0.9164603176527466\n", "Q4.k1 = 1.332649679467849\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# constrains\n", "constr = {m1:{'beta_x':5, 'beta_y':5}, \n", " m2:{'beta_x':tws_e.beta_x, 'beta_y':tws_e.beta_y, \n", " 'alpha_x': -tws_e.alpha_x, \"alpha_y\":-tws_e.alpha_y}}\n", "\n", "# variables\n", "vars = [Q1, Q2, Q3,Q4]\n", "\n", "# initial condition for twiss\n", "\n", "match(lat_m, constr, vars, tw0, verbose=False)\n", "\n", "for i, q in enumerate(vars):\n", " print(\"Q\"+str(i+1)+\".k1 = \", q.k1)\n", "\n", "tws0 = Twiss()\n", "tws0.beta_x = tws_e.beta_x\n", "tws0.beta_y = tws_e.beta_y\n", "tws0.alpha_x = -tws_e.alpha_x\n", "tws0.alpha_y = -tws_e.alpha_y\n", "\n", "tws = twiss(lat_m, tws0)\n", "plot_opt_func(lat_m, tws, legend=False)\n", "plt.show()\n", "\n", "tws0 = tws[-1]\n", "tws0.alpha_x = -tws[-1].alpha_x\n", "tws0.alpha_y = -tws[-1].alpha_y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FINAL Lattice" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cell = (match_sec, echo, fodo)\n", "# fodo quadrupoles\n", "\n", "lat = MagneticLattice(cell)\n", "\n", "tws = twiss(lat, tws0)\n", "plot_opt_func(lat, tws, legend=False)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "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 }