{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Particle distributions in beams and bunches are represented with the `Particles` class. This notebook shows how to generate and instantiate the distributions. Special attention is given to the longitudinal phase space initialisation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# general imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import division, print_function\n", "\n", "import numpy as np\n", "np.random.seed(42)\n", "\n", "from scipy.constants import m_p, c, e\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import patches\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# sets the PyHEADTAIL directory etc.\n", "try:\n", " from settings import *\n", "except:\n", " pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PyHEADTAIL imports" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PyHEADTAIL v1.13.2\n", "(dirty git work tree)\n", "\n", "\n", "Warning: GPU is in principle available but no context has been initialized. Please import pycuda.autoinit at the beginning of your script before importing PyHEADTAIL if you want to use GPU functionality.\n", "\n" ] } ], "source": [ "from PyHEADTAIL.particles.particles import Particles\n", "import PyHEADTAIL.particles.generators as generators\n", "from PyHEADTAIL.trackers.transverse_tracking import TransverseMap\n", "from PyHEADTAIL.trackers.longitudinal_tracking import RFSystems, LinearMap\n", "import PyHEADTAIL.cobra_functions.stats as st" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Setting up the machine and functions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beta: 0.9159610083509163\n", "eta: -0.10004911507\n", "Q_s: 0.00025482215048808926\n" ] } ], "source": [ "# general simulation parameters\n", "n_particles = 10000\n", "\n", "# machine parameters\n", "circumference = 157.\n", "inj_alpha_x = 0\n", "inj_alpha_y = 0\n", "inj_beta_x = 5. # in [m]\n", "inj_beta_y = 31. # in [m]\n", "gamma_tr = 4.05\n", "alpha_c_array = [gamma_tr**-2]\n", "V_rf = 8e3 # in [V]\n", "harmonic = 1\n", "phi_offset = 0 # measured from aligned focusing phase (0 or pi)\n", "\n", "# beam parameters\n", "Ekin = 1.4e9 # in [eV]\n", "intensity = 1.684e12\n", "epsn_x = 2.5e-6 # in [m*rad]\n", "epsn_y = 2.5e-6 # in [m*rad]\n", "epsn_z = 1.2 # 4pi*sig_z*sig_dp (*p0/e) in [eVs]\n", "sigma_z = 11.8086654962 # in [m]\n", "\n", "# calculations\n", "gamma = 1 + e * Ekin / (m_p * c**2)\n", "beta = np.sqrt(1 - gamma**-2)\n", "print ('beta: ' + str(beta))\n", "eta = alpha_c_array[0] - gamma**-2\n", "print ('eta: ' + str(eta))\n", "if eta < 0:\n", " phi_offset = np.pi - phi_offset\n", "Etot = gamma * m_p * c**2 / e\n", "p0 = np.sqrt(gamma**2 - 1) * m_p * c\n", "Qs = np.sqrt(np.abs(eta) * V_rf / (2 * np.pi * beta**2 * Etot))\n", "print ('Q_s: ' + str(Qs))\n", "beta_z = np.abs(eta) * circumference / (2 * np.pi * Qs)\n", "# sigma_z = np.sqrt(beta_z * e * epsn_z / (4. * np.pi * p0)) # linear calculation ~ 11.56 m" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_phase_space(bunch):\n", " fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(15, 5))\n", " # phase spaces\n", " ax0.scatter(bunch.x, bunch.xp)\n", " ax0.set_xlim([min(bunch.x), max(bunch.x)])\n", " ax0.set_ylim([min(bunch.xp), max(bunch.xp)])\n", " ax0.set_title('$x-x\\'\\,$ phase space', fontsize=20)\n", " ax1.scatter(bunch.y, bunch.yp)\n", " ax1.set_xlim([min(bunch.y), max(bunch.y)])\n", " ax1.set_ylim([min(bunch.yp), max(bunch.yp)])\n", " ax1.set_title('$y-y\\'\\,$ phase space', fontsize=20)\n", " ax2.scatter(bunch.z, bunch.dp)\n", " ax2.set_xlim([min(bunch.z), max(bunch.z)])\n", " ax2.set_ylim([min(bunch.dp), max(bunch.dp)])\n", " ax2.set_title('$z-\\delta p\\,$ phase space', fontsize=20)\n", " # statistical quantities\n", " ax0.scatter(bunch.mean_x(), bunch.mean_xp(), color='red')\n", " ax1.scatter(bunch.mean_y(), bunch.mean_yp(), color='red')\n", " ax2.scatter(bunch.mean_z(), bunch.mean_dp(), color='red')\n", " plt.tight_layout()\n", " plt.show()\n", "\n", "def plot_long_phase_space(bunch_new, rfbucket, margin=None):\n", " z = np.linspace(*rfbucket.interval, num=100)\n", " dp = np.linspace(-0.006, 0.006, num=100)\n", " ZZ, DPP = np.meshgrid(z, dp)\n", " HH = rfbucket.hamiltonian(ZZ, DPP)\n", " plt.contourf(ZZ, DPP, HH, 20, alpha=0.6)\n", " plt.colorbar()\n", " plt.contour(ZZ, DPP, HH, levels=[0], colors='magenta', linewidths=2)\n", " if margin:\n", " plt.contour(ZZ, DPP, HH, levels=[rfbucket.h_sfp()*margin], colors='r', linewidths=2)\n", " plt.scatter(bunch_new.z, bunch_new.dp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Let's go" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate Gaussian phase space distributions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Particle instances are bunches or beams with a 6-dimensional phase space macro-particle distribution in the generalised Frenet-Serret coordinates and their momenta $(x,x',y,y',z,\\delta p)$. To generate a distribution, the `ParticleGenerator` base class is used. Provide it with distribution functions for the horizontal, vertical and longitudinal planes. In this case we use bi-Gaussian distributions via `gaussian2D` which are initialised with geometric emittances (i.e. without the normalisation $\\beta\\gamma$ factor and the conventional longitudinal $e/(4\\pi)$ factor). The resulting Floquet space distributions are automatically \"matched\" to the given optics resp. longitudinal parameters:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "geometrical horizontal emittance: 1.0952084144812207e-06\n", "geometrical vertical emittance: 1.0952084144812207e-06\n", "geometrical longitudinal emittance: 0.013366572370478051\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "emittance x new: 2.5104588994405944e-06 (nominal value: 2.5e-06)\n", "emittance y new: 2.4895654859481864e-06 (nominal value: 2.5e-06)\n", "emittance z new: 1.2120826114136034 (nominal value: 1.2)\n" ] } ], "source": [ "egeox = epsn_x / (beta * gamma)\n", "egeoy = epsn_y / (beta * gamma)\n", "egeoz = epsn_z * e / (4 * np.pi * p0)\n", "\n", "print ('geometrical horizontal emittance:', egeox)\n", "print ('geometrical vertical emittance:', egeoy)\n", "print ('geometrical longitudinal emittance:', egeoz)\n", "\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_x=generators.gaussian2D(egeox), \n", " alpha_x=inj_alpha_x, beta_x=inj_beta_x,\n", " distribution_y=generators.gaussian2D(egeoy), \n", " alpha_y=inj_alpha_y, beta_y=inj_beta_y,\n", " distribution_z=generators.gaussian2D(egeoz), \n", " Qs=Qs, eta=eta).generate()\n", "\n", "plot_phase_space(bunch_new)\n", "\n", "print ('emittance x new:', bunch_new.epsn_x(), \n", " '(nominal value: {0:.3g})'.format(epsn_x))\n", "print ('emittance y new:', bunch_new.epsn_y(), \n", " '(nominal value: {0:.3g})'.format(epsn_y))\n", "print('emittance z new:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})'.format(epsn_z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other optics values:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "alpha_x = 0.1\n", "alpha_y = -1.9\n", "beta_x = 81.1\n", "beta_y = 31.2\n", "\n", "dispersion_x = 1\n", "dispersion_y = -2.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For convenience, the `Gaussian6DTwiss` function initialises a bunch with the same bi-Gaussian distributions for each plane as the previous example hence avoiding unnecessary clutter. In principle, the general ParticleGenerator interface allows other distributions, too (such as the Kapchinskij-Vladimirskij distribution `kv2D` or `kv4D`). \n", "\n", "Note that we include dispersion here (requiring the longitudinal phase space to be initialised, i.e. the kwarg `distribution_z` must be provided):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Check the convenience functions. With the same seed, they give exactly the same:\n", "np.random.seed(1)\n", "bunch1 = generators.generate_Gaussian6DTwiss(\n", " n_particles, intensity,\n", " e, m_p, circumference, gamma,\n", " alpha_x=alpha_x, alpha_y=alpha_y, beta_x=beta_x, beta_y=beta_y,\n", " beta_z=beta_z, epsn_x=epsn_x, epsn_y=epsn_y, epsn_z=epsn_z, # note: normalised emittances!\n", " dispersion_x=dispersion_x, dispersion_y=dispersion_y)\n", "\n", "np.random.seed(1)\n", "bunch2 = generators.ParticleGenerator(\n", " n_particles, intensity,\n", " e, m_p, circumference, gamma, # here we need the geometrical emittances:\n", " distribution_x=generators.gaussian2D(egeox), alpha_x=alpha_x, beta_x=beta_x, D_x=dispersion_x,\n", " distribution_y=generators.gaussian2D(egeoy), alpha_y=alpha_y, beta_y=beta_y, D_y=dispersion_y,\n", " distribution_z=generators.gaussian2D(egeoz), Qs=Qs, eta=eta,\n", ").generate()\n", "\n", "plot_phase_space(bunch1)\n", "plot_phase_space(bunch2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Per se, initialising the full 6D phase space is not mandatory e.g. in the case of mere transverse tracking without dispersion and chromaticity. Also, we can only track the longitudinal plane e.g. with the linear tracking module, transverse effects (such as subtracting and re-adding the dispersion contribution) will be ignored then -- note the warning.\n", "\n", "Check that the emittance remains constant over a few turns:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "turn 0\n", "current emittance z: 1.1871399650791725\n", "*** PyHEADTAIL WARNING! Failed to apply transverse dispersion correction during longitudinal tracking. Caught AttributeError: \n", "'Particles' object has no attribute 'x'\n", "Continue without adjusting dispersion contribution when changing beam.dp...\n", "\n", "turn 1\n", "current emittance z: 1.1871399650791725\n", "\n", "turn 2\n", "current emittance z: 1.1871399650791865\n", "\n", "turn 3\n", "current emittance z: 1.187139965079183\n", "\n", "turn 4\n", "current emittance z: 1.187139965079189\n" ] } ], "source": [ "# create a longitudinal only beam and track it, see if emittance grows ...\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=generators.gaussian2D(egeoz), \n", " Qs=Qs, eta=eta).generate()\n", "\n", "longitudinal = LinearMap(alpha_c_array, circumference, Qs)\n", "for turn in range(5):\n", " print ('\\nturn', turn)\n", " print ('current emittance z:', bunch_new.epsn_z())\n", " longitudinal.track(bunch_new)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\implies$ note the warning message: for the effective dispersion model in PyHEADTAIL (with fixed optics dispersion values per location), the transverse coordinates $x$ and $y$ contain the dispersive first-order contribution $D_x(s)\\delta$ and $D_y(s)\\delta$. When the longitudinal momentum $\\delta$ gets updated, the `LongitudinalMap` usually updates the corresponding dispersive contribution in the transverse plane as well. In our case the bunch only has longitudinal coordinates, hence the warning of failing to update the transverse coordinates." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Importing arrays with already distributed macro-particle coordinates and momenta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Loading a new `Particles` instance with pre-defined coordinate and momentum arrays is possible with the `import_distribution2D` function:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_x=generators.import_distribution2D([bunch1.x, bunch1.xp]),\n", " distribution_y=generators.import_distribution2D([bunch1.y, bunch1.yp]),\n", " distribution_z=generators.import_distribution2D([bunch1.z, bunch1.dp])\n", ").generate()\n", "\n", "plot_phase_space(bunch_new) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coordinate and momentum arrays of the new `Particles` instance have been copied and can be tracked separately from the initially provided arrays:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "All entries of the initial and new bunch x coordinate array are the same: True\n", "The initial and new bunch x coordinate array are not identical though: True\n", "\n", "Memory location of the initial coordinate array: \n", "Memory location of the new coordinate array: \n" ] } ], "source": [ "print ('All entries of the initial and new bunch x coordinate array are the same:', \n", " np.all(bunch1.x == bunch_new.x))\n", "print ('The initial and new bunch x coordinate array are not identical though:', \n", " bunch1.x is not bunch_new.x)\n", "print ('\\nMemory location of the initial coordinate array:', object.__repr__(bunch1.x))\n", "print ('Memory location of the new coordinate array: ', object.__repr__(bunch_new.x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Launch Gaussian distribution with cutting at certain RMS limit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can determine a certain rms limit for the Gaussian distribution, outside of which no particles shall be generated." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "limit_n_rms_x = 3.4\n", "limit_n_rms_y = 2\n", "\n", "np.random.seed(1)\n", "bunch = generators.generate_Gaussian6DTwiss(\n", " n_particles, intensity,\n", " e, m_p, circumference, gamma,\n", " alpha_x=alpha_x, alpha_y=alpha_y, beta_x=beta_x, beta_y=beta_y,\n", " beta_z=beta_z, epsn_x=epsn_x, epsn_y=epsn_y, epsn_z=epsn_z,\n", " dispersion_x=dispersion_x, dispersion_y=dispersion_y,\n", " limit_n_rms_x=limit_n_rms_x, \n", " limit_n_rms_y=limit_n_rms_y,\n", ")\n", "\n", "plot_phase_space(bunch)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\implies$ note the clearly missing tails in the $x$ and $y$ distributions. Simply cutting the distribution modifies the eventual RMS value though (the initially provided `epsn_x` and `epsn_y` correspond to the full Gaussian distributions and not the modified and cut ones).\n", "\n", "Observe the redistribution of the tail (while the overall slope follows the thermal distribution $\\exp(-J_x)$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oeftiger/anaconda2-2018-11/lib/python2.7/site-packages/matplotlib/axes/_axes.py:6571: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist((1 - alpha_x**2) / beta_x * bunch1.x**2 + \n", " 2 * alpha_x * bunch1.x * bunch1.xp + \n", " beta_x * bunch1.xp**2, bins=30, normed=True,\n", " label='original Gaussian');\n", "\n", "plt.hist((1 - alpha_x**2) / beta_x * bunch.x**2 + \n", " 2 * alpha_x * bunch.x * bunch.xp + \n", " beta_x * bunch.xp**2, bins=6, normed=True,\n", " color='orange', alpha=0.7, \n", " label='Gaussian cut at 3.4 RMS amplitudes');\n", "\n", "plt.axvline(epsn_x / (beta * gamma) * limit_n_rms_x, color='red', \n", " label='cut: 3.4 RMS amplitudes')\n", "\n", "plt.xlabel('Horizontal amplitude $2J_x$')\n", "plt.ylabel('Normalised counts')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating uniform distributions\n", "\n", "The `uniform2D` function initialises the macro-particle coordinate with a uniform distribution, the momentum remains zero." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "bunch = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_x=generators.uniform2D(-3e-3, 3e-3),\n", " distribution_y=generators.uniform2D(-2e-3, 2e-3),\n", " distribution_z=generators.uniform2D(-30, 30)\n", ").generate()\n", "\n", "fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(15, 5))\n", "# phase spaces\n", "ax0.scatter(bunch.x, bunch.xp)\n", "ax0.set_xlim([1.1*min(bunch.x), 1.1*max(bunch.x)])\n", "ax0.set_title('$x-x\\'\\,$ phase space', fontsize=20)\n", "ax1.scatter(bunch.y, bunch.yp)\n", "ax1.set_xlim([1.1*min(bunch.y), 1.1*max(bunch.y)])\n", "ax1.set_title('$y-y\\'\\,$ phase space', fontsize=20)\n", "ax2.scatter(bunch.z, bunch.dp)\n", "ax2.set_xlim([1.1*min(bunch.z), 1.1*max(bunch.z)])\n", "ax2.set_title('$z-\\delta p\\,$ phase space', fontsize=20)\n", "# statistical quantities\n", "ax0.scatter(bunch.mean_x(), bunch.mean_xp(), color='red')\n", "ax1.scatter(bunch.mean_y(), bunch.mean_yp(), color='red')\n", "ax2.scatter(bunch.mean_z(), bunch.mean_dp(), color='red')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Matching to non-linear radio frequency bucket\n", "\n", "The longitudinal plane can be initialised being matched to a non-linear radio frequency bucket." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "rfsystems = RFSystems(circumference, [harmonic], [V_rf], [phi_offset],\n", " alpha_c_array, gamma, mass=m_p, charge=e)\n", "\n", "rfbucket = rfsystems.get_bucket(gamma=gamma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For large longitudinal emittances approaching the bucket area, the corresponding distribution differs from matching to the linear longitudinal parameters $Q_S$ and $\\eta$. PyHEADTAIL currently offers two methods to initialise a thermalised (Gaussian-like) distribution to a given `RFBucket` instance via\n", "\n", "1. the normalised longitudinal emittance $\\epsilon_z$ (in eVs) and\n", "2. the root mean square bunch length $\\sigma_z$ (in m).\n", "\n", "The first method uses the kwarg `epsn_z` in `RF_bucket_distribution`:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 4.505891675377581eV s.\n", "... distance to target emittance: -1.19e+00\n", "... distance to target emittance: 2.78e+00\n", "... distance to target emittance: 1.45e+00\n", "... distance to target emittance: 1.09e-01\n", "... distance to target emittance: -5.53e-03\n", "... distance to target emittance: 1.60e-06\n", "... distance to target emittance: -4.74e-06\n", "--> Emittance: 1.2000016025417657\n", "--> Bunch length: 11.8086739325653\n", "\n", "emittance z: 1.177794328356158 (nominal value: 1.2)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "distribution_z = generators.RF_bucket_distribution(\n", " rfbucket, epsn_z=epsn_z)\n", "\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=distribution_z\n", ").generate()\n", "\n", "plot_long_phase_space(bunch_new, rfbucket)\n", "\n", "print('\\nemittance z:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})'.format(epsn_z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second method uses the kwarg `sigma_z` in `RF_bucket_distribution`. The kwargs `sigma_z` and `epsn_z` are mutually exclusive. Based on the given longitudinal parameters (RF frequency, voltage and slippage factor $\\eta$), the above used longitudinal emittance of $\\epsilon_z=1.2~\\text{eVs}$ corresponds to an RMS bunch length of $\\sigma_z\\approx 11.8~\\text{m}$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS bunch length 24.67952104635068m.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/oeftiger/anaconda2-2018-11/lib/python2.7/site-packages/scipy/integrate/quadpack.py:385: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", " warnings.warn(msg, IntegrationWarning)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "... distance to target bunch length: -1.1691e+01\n", "... distance to target bunch length: 1.2249e+01\n", "... distance to target bunch length: 9.7874e+00\n", "... distance to target bunch length: 2.5029e+00\n", "... distance to target bunch length: -1.2015e+00\n", "... distance to target bunch length: -7.8938e-03\n", "... distance to target bunch length: 7.3213e-05\n", "... distance to target bunch length: -4.3514e-09\n", "--> Bunch length: 11.808665491848602\n", "--> Emittance: 1.2000000006945226\n", "\n", "emittance z: 1.2055146191098527 (nominal value: 1.2)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "distribution_z = generators.RF_bucket_distribution(\n", " rfbucket, sigma_z=sigma_z)\n", "\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=distribution_z\n", ").generate()\n", "\n", "plot_long_phase_space(bunch_new, rfbucket)\n", "\n", "print('\\nemittance z:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})'.format(epsn_z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Updating an existing `Particles` instance with new coordinates and momenta\n", "\n", "The `ParticleGenerator` class can also simply update an existing `Particles` instance instead of generating a new one. This way, the coordinates and momenta of the existing beam get overwritten, e.g. when reloading the longitudinal phase space:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "emittance x: 2.4997508470598563e-06 (nominal value: 2.5e-06)\n", "emittance y: 2.4605726214714474e-06 (nominal value: 2.5e-06)\n", "emittance z [linear init]: 1.1931709426896258 (nominal value: 1.2)\n", "\n", "\n", "*** Maximum RMS emittance 4.505891675377581eV s.\n", "... distance to target emittance: -1.19e+00\n", "... distance to target emittance: 2.78e+00\n", "... distance to target emittance: 1.45e+00\n", "... distance to target emittance: 1.09e-01\n", "... distance to target emittance: -5.53e-03\n", "... distance to target emittance: 1.60e-06\n", "... distance to target emittance: -4.74e-06\n", "--> Emittance: 1.2000016025417657\n", "--> Bunch length: 11.8086739325653\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "emittance z new [matched to RF now]: 1.2167567865223936\n" ] } ], "source": [ "# create an initial beam:\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_x=generators.gaussian2D(egeox),\n", " alpha_x=inj_alpha_x, beta_x=inj_beta_x,\n", " distribution_y=generators.gaussian2D(egeoy),\n", " alpha_y=inj_alpha_y, beta_y=inj_beta_y,\n", " distribution_z=generators.gaussian2D(egeoz), Qs=Qs, eta=eta\n", ").generate()\n", "\n", "plot_phase_space(bunch_new)\n", "\n", "print ('emittance x:', bunch_new.epsn_x(), \n", " '(nominal value: {0:.3g})'.format(epsn_x))\n", "print ('emittance y:', bunch_new.epsn_y(), \n", " '(nominal value: {0:.3g})'.format(epsn_y))\n", "print('emittance z [linear init]:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})\\n\\n'.format(epsn_z))\n", "\n", "# reload this beam's longitudinal phase space:\n", "generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=generators.RF_bucket_distribution(\n", " rfsystems.get_bucket(gamma=gamma), epsn_z=epsn_z),\n", ").update(bunch_new)\n", "\n", "plot_phase_space(bunch_new)\n", "\n", "print('emittance z new [matched to RF now]:', bunch_new.epsn_z())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impose bounds on macro-particle generation domains\n", "\n", "One might want to impose boundary conditions on the generation of macro-particles such as limiting the domain in phase space. The function `cut_distribution` takes a distribution generator and a function accepting or refusing an initialised macro-particle (which might be outside the domain). E.g. in longitudinal phase space, one might want to initialise macro-particles strictly within the radio frequency bucket separatrix. The `RFBucket` offers such a boolean function, `RFBucket.make_is_accepted`, returning whether the coordinate and the momentum lie within the separatrix.\n", "\n", "As an example, we initialise a bi-Gaussian longitudinal distribution with `gaussian2D_asymmetrical` and restrict macro-particle initialisation within the RF bucket area:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "emittance z: 1.2704203256010131 (nominal value: 1.2)\n", "\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sigma_dp = rfbucket.dp_max(sigma_z) # same Hamiltonian value for both sigma_dp and sigma_z\n", "\n", "dist = generators.gaussian2D_asymmetrical(sigma_z, sigma_dp)\n", "within_separatrix = rfbucket.make_is_accepted()\n", "distribution_z = generators.cut_distribution(dist, within_separatrix)\n", "\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=distribution_z,\n", ").generate()\n", "\n", "plot_long_phase_space(bunch_new, rfbucket)\n", "\n", "print('emittance z:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})\\n\\n'.format(epsn_z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Margin within RF bucket matching\n", "\n", "Macro-particles can get initialised too close to the bucket boundary in longitudinal phase space. For non-linear longitudinal kick-drift tracking as in the `RFSystems` class, this could result in particles exiting the RF bucket because the separatrix is strictly defined for the smooth Hamiltonian (whose equation of motion are only approximately solved with the kick-drift scheme). When restricting particle generating to within a bucket area, one might therefore add some margin around the separatrix. In the case of `cut_distribution`, its argument `margin` implements this.\n", "\n", "For convenience, the `RF_bucket_distribution` supports `margin` as a kwarg for the case of generating a thermal longitudinal distribution as well:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 4.505891675377581eV s.\n", "... distance to target emittance: -1.19e+00\n", "... distance to target emittance: 2.78e+00\n", "... distance to target emittance: 1.45e+00\n", "... distance to target emittance: 1.09e-01\n", "... distance to target emittance: -5.53e-03\n", "... distance to target emittance: 1.60e-06\n", "... distance to target emittance: -4.74e-06\n", "--> Emittance: 1.2000016025417657\n", "--> Bunch length: 11.8086739325653\n", "emittance z: 1.180580073323529 (nominal value: 1.2)\n", "\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cutting_margin = 0.3\n", "\n", "distribution_z = generators.RF_bucket_distribution(\n", " rfbucket, epsn_z=epsn_z, margin=cutting_margin)\n", "\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=distribution_z,\n", ").generate()\n", "\n", "plot_long_phase_space(bunch_new, rfbucket, margin=cutting_margin)\n", "\n", "print('emittance z:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})\\n\\n'.format(epsn_z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Limit for linear Gaussian matching\n", "\n", "For linear matching, if the longitudinal phase space is populated with a thermal (Gaussian) distribution, the macro-particles are not limited to a region: they can be located anywhere in the phase space plane with a synchrotron amplitude between $[0, \\infty)$. It may be useful to restrict the particle distribution within a finite region in phase space (otherwise particles could be located outside e.g. a fixed slicing region and not be taken into account for wake fields or space charge). " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "emittance z: 1.181210578558133 (nominal value: 1.2)\n", "\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "limit_n_rms = 3\n", "factor_smaller = 1\n", "\n", "epsn_z_small = epsn_z / factor_smaller\n", "sigma_z_small = sigma_z / np.sqrt(factor_smaller)\n", "\n", "beta_z = np.abs(eta) * circumference / (2 * np.pi * Qs)\n", "egeo_rms_z_small = epsn_z_small * e / (4 * np.pi * p0)\n", "\n", "is_accepted = generators.make_is_accepted_within_n_sigma(\n", " rms_amplitude=4 * sigma_z_small**2 / beta_z,\n", " limit_n_rms=limit_n_rms,\n", ")\n", "\n", "distribution_z = generators.cut_distribution(\n", " distribution=generators.gaussian2D(egeo_rms_z_small),\n", " is_accepted=is_accepted\n", ")\n", "\n", "bunch_new = generators.ParticleGenerator(\n", " macroparticlenumber=n_particles,\n", " intensity=intensity, charge=e, mass=m_p,\n", " circumference=circumference, gamma=gamma,\n", " distribution_z=distribution_z,\n", " eta=eta, Qs=Qs,\n", ").generate()\n", "\n", "plot_long_phase_space(bunch_new, rfbucket)\n", "\n", "X, Y = np.meshgrid(np.linspace(*plt.xlim(), num=1000), \n", " np.linspace(*plt.ylim(), num=1000))\n", "plt.contour(X, Y, is_accepted(X / np.sqrt(beta_z), Y * np.sqrt(beta_z)),\n", " cmap=plt.get_cmap('Reds'))\n", "plt.title('limit synchrotron amplitude (is_accepted)', color='darkred')\n", "\n", "ep = patches.Ellipse((0, 0), 2 * sigma_z_small, 2 * epsn_z_small * e / (4*np.pi * p0 * sigma_z_small),\n", " linewidth=2, fill=False, color='red', zorder=20)\n", "plt.gca().add_patch(ep)\n", "plt.text(0, 2e-3, r'$\\epsilon_z=4\\epsilon_{z,rms}$', color='red', fontsize=14, horizontalalignment='center')\n", "\n", "print('emittance z:', bunch_new.epsn_z(), \n", " '(nominal value: {0:.3g})\\n\\n'.format(epsn_z_small))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\implies$ note that the darkred line indicating the cutting limit at 3 times the longitudinal (bright red) $90\\%$ emittance deviates from the (non-linearly distorted) iso-Hamiltonian contours. (In PyHEADTAIL we use the $90\\%$ emittance instead of the longitudinal RMS emittance, defined by $\\epsilon_z=4 \\epsilon_{z,rms}$ -- indicated by the bright red circle here! I.e. the darkred circle encloses $3\\times4 \\epsilon_{z,rms}=12$ RMS actions.)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 1 }