{ "cells": [ { "cell_type": "markdown", "id": "944ad3f5-bdce-4fda-baf4-558c8594e27a", "metadata": {}, "source": [ "## ELETTRA-29: ID response" ] }, { "cell_type": "code", "execution_count": 1, "id": "360c1253-3270-44a8-a8f4-740d317e5ddf", "metadata": {}, "outputs": [], "source": [ "# The linear transport matrix of an ID can be represented by exp(S A) with Aij = Aji\n", "# LPUs have diagonal matrix A, while non-zero skew diagonal elements are present EPUs (other elements are also not equal to zero in general)\n", "# In this example derivatives of tunes and beta functions with respect to diagonal and skew diagonal elements are evaluated" ] }, { "cell_type": "code", "execution_count": 2, "id": "e63b0479-fa21-46a9-9ebb-2675f02a7c84", "metadata": {}, "outputs": [], "source": [ "# Import\n", "\n", "import torch\n", "from torch import Tensor\n", "\n", "from pathlib import Path\n", "\n", "import matplotlib\n", "from matplotlib import pyplot as plt\n", "from matplotlib.patches import Rectangle\n", "matplotlib.rcParams['text.usetex'] = True\n", "\n", "from model.library.element import Element\n", "from model.library.line import Line\n", "from model.library.quadrupole import Quadrupole\n", "from model.library.matrix import Matrix\n", "\n", "from model.command.external import load_lattice\n", "from model.command.build import build\n", "from model.command.tune import tune\n", "from model.command.orbit import dispersion\n", "from model.command.twiss import twiss\n", "from model.command.advance import advance\n", "from model.command.coupling import coupling\n", "from model.command.layout import Layout" ] }, { "cell_type": "code", "execution_count": 3, "id": "6d5959db-3e77-4f68-945a-e39fe628866c", "metadata": {}, "outputs": [], "source": [ "# Set data type and device\n", "\n", "Element.dtype = dtype = torch.float64\n", "Element.device = device = torch.device('cpu')" ] }, { "cell_type": "code", "execution_count": 4, "id": "639172f9-a4fc-4873-9e6c-c8fa2edaeb77", "metadata": {}, "outputs": [], "source": [ "# Load lattice (ELEGANT table)\n", "# Note, lattice is allowed to have repeated elements\n", "\n", "path = Path('elettra.lte')\n", "data = load_lattice(path)" ] }, { "cell_type": "code", "execution_count": 5, "id": "a350eab7-e349-4365-8156-7c01d8b6ed2a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'BPM': 168, 'Drift': 708, 'Dipole': 156, 'Quadrupole': 360, 'Marker': 12}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Build and setup lattice\n", "\n", "ring:Line = build('RING', 'ELEGANT', data)\n", "\n", "# Flatten sublines\n", "\n", "ring.flatten()\n", "\n", "# Remove all marker elements but the ones starting with MLL (long straight section centers)\n", "\n", "ring.remove_group(pattern=r'^(?!MLL_).*', kinds=['Marker'])\n", "\n", "# Replace all sextupoles with quadrupoles\n", "\n", "def factory(element:Element) -> None:\n", " table = element.serialize\n", " table.pop('ms', None)\n", " return Quadrupole(**table)\n", "\n", "ring.replace_group(pattern=r'', factory=factory, kinds=['Sextupole'])\n", "\n", "# Set linear dipoles\n", "\n", "def apply(element:Element) -> None:\n", " element.linear = True\n", "\n", "ring.apply(apply, kinds=['Dipole'])\n", "\n", "# Merge drifts\n", "\n", "ring.merge()\n", "\n", "# Change lattice start\n", "\n", "ring.start = \"BPM_S01_01\"\n", "\n", "# Describe\n", "\n", "ring.describe" ] }, { "cell_type": "code", "execution_count": 6, "id": "cf556e19-2ad8-4f6e-8569-06ea55416f7f", "metadata": {}, "outputs": [], "source": [ "# Define empty ID model\n", "# Note, only the flattened triangular part of the A and B matrices will be passed\n", "\n", "# A = [a11, a12, a13, a14, a22, a23, a24, a33, a34, a44]\n", "\n", "# a11, a22, a33, a44 -- diagonal elements\n", "# a14, a23 -- skew diagonal\n", "\n", "X = Matrix('X', length=0.0)" ] }, { "cell_type": "code", "execution_count": 7, "id": "506ce6d8-cfe5-409d-a5b6-1fa835265f9c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'BPM': 168,\n", " 'Drift': 708,\n", " 'Dipole': 156,\n", " 'Quadrupole': 360,\n", " 'Matrix': 1,\n", " 'Marker': 11}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Insert empty ID into the existing lattice\n", "# This will replace the target marker\n", "\n", "ring.insert(X, 'MLL_S01', position=0.0)\n", "ring.describe" ] }, { "cell_type": "code", "execution_count": 8, "id": "c6bd37bd-1c10-405d-a11b-848819256355", "metadata": {}, "outputs": [], "source": [ "# Define parametric observables\n", "\n", "def observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44):\n", " parameters = [a11, a12, a13, a14, a22, a23, a24, a33, a34, a44]\n", " groups = (\n", " ('a11', None, ['X'], None),\n", " ('a12', None, ['X'], None),\n", " ('a13', None, ['X'], None),\n", " ('a14', None, ['X'], None),\n", " ('a22', None, ['X'], None),\n", " ('a23', None, ['X'], None),\n", " ('a24', None, ['X'], None),\n", " ('a33', None, ['X'], None),\n", " ('a34', None, ['X'], None),\n", " ('a44', None, ['X'], None)\n", " ) \n", " nux, nuy = tune(ring, parameters, *groups, matched=True)\n", " return torch.stack([nux, nuy])\n", "\n", "def observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44):\n", " parameters = [a11, a12, a13, a14, a22, a23, a24, a33, a34, a44]\n", " groups = (\n", " ('a11', None, ['X'], None),\n", " ('a12', None, ['X'], None),\n", " ('a13', None, ['X'], None),\n", " ('a14', None, ['X'], None),\n", " ('a22', None, ['X'], None),\n", " ('a23', None, ['X'], None),\n", " ('a24', None, ['X'], None),\n", " ('a33', None, ['X'], None),\n", " ('a34', None, ['X'], None),\n", " ('a44', None, ['X'], None)\n", " ) \n", " _, bx, _, by = twiss(ring, parameters, *groups, matched=True, advance=True, full=False).T\n", " return torch.stack([bx, by])" ] }, { "cell_type": "code", "execution_count": 9, "id": "7e8d5187-1f1c-4be7-9a37-c4fb394eb51f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([[0.7492],\n", " [0.0000]], dtype=torch.float64)\n", "tensor([[0.0085],\n", " [0.0000]], dtype=torch.float64)\n", "tensor([[0.0000],\n", " [0.1305]], dtype=torch.float64)\n", "tensor([[0.0000],\n", " [0.0485]], dtype=torch.float64)\n", "\n", "tensor([[0.],\n", " [0.]], dtype=torch.float64)\n", "tensor([[0.],\n", " [0.]], dtype=torch.float64)\n", "\n" ] } ], "source": [ "# Compute tunes derivatives\n", "\n", "# a11, a22, a33, a44 -- diagonal elements\n", "# a14, a23 -- skew diagonal\n", "\n", "a11, a12, a13, a14, a22, a23, a24, a33, a34, a44 = torch.split(torch.tensor(10*[0.0], dtype=dtype), 10*[1])\n", "\n", "print(torch.func.jacfwd(lambda a11: observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a11))\n", "print(torch.func.jacfwd(lambda a22: observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a22))\n", "print(torch.func.jacfwd(lambda a33: observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a33))\n", "print(torch.func.jacfwd(lambda a44: observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a44))\n", "print()\n", "\n", "print(torch.func.jacfwd(lambda a14: observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a14))\n", "print(torch.func.jacfwd(lambda a23: observable_tunes(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a23))\n", "print()" ] }, { "cell_type": "code", "execution_count": 10, "id": "2f9ac291-c35f-40f4-bb64-4c93cf123f4f", "metadata": {}, "outputs": [], "source": [ "# Compute twiss derivatives\n", "\n", "# a11, a22, a33, a44 -- diagonal elements\n", "# a14, a23 -- skew diagonal\n", "\n", "a11, a12, a13, a14, a22, a23, a24, a33, a34, a44 = torch.split(torch.tensor(10*[0.0], dtype=dtype), 10*[1])\n", "\n", "dbxda11, dbyda11 = torch.func.jacfwd(lambda a11: observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a11).squeeze()\n", "dbxda22, dbyda22 = torch.func.jacfwd(lambda a22: observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a22).squeeze()\n", "dbxda33, dbyda33 = torch.func.jacfwd(lambda a33: observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a33).squeeze()\n", "dbxda44, dbyda44 = torch.func.jacfwd(lambda a44: observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a44).squeeze()\n", "\n", "dbxda14, dbyda14 = torch.func.jacfwd(lambda a14: observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a14).squeeze()\n", "dbxda23, dbyda23 = torch.func.jacfwd(lambda a23: observable_twiss(a11, a12, a13, a14, a22, a23, a24, a33, a34, a44))(a23).squeeze()" ] }, { "cell_type": "code", "execution_count": 11, "id": "4edcb7b0-cbd4-41a6-9161-8161a8215e8b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a11 derivatives\n", "\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.errorbar(ring.locations().cpu().numpy(), dbxda11.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n", "ax.errorbar(ring.locations().cpu().numpy(), dbyda11.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n", "ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n", "ax.tick_params(axis='y', length=0, width=0, labelsize=12)\n", "ax.set_xlabel(r'$s$', fontsize=18)\n", "ax.set_ylabel(r'$\\partial \\beta_{x,y} / \\partial a_{11}$', fontsize=18)\n", "plt.setp(ax.spines.values(), linewidth=2.0)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "id": "0c1c850a-74f8-4b81-95f8-cba2bb86316a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a22 derivatives\n", "\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.errorbar(ring.locations().cpu().numpy(), dbxda22.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n", "ax.errorbar(ring.locations().cpu().numpy(), dbyda22.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n", "ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n", "ax.tick_params(axis='y', length=0, width=0, labelsize=12)\n", "ax.set_xlabel(r'$s$', fontsize=18)\n", "ax.set_ylabel(r'$\\partial \\beta_{x,y} / \\partial a_{22}$', fontsize=18)\n", "plt.setp(ax.spines.values(), linewidth=2.0)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "c0ad60e1-612b-42d0-8612-158d24ea8470", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a33 derivatives\n", "\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.errorbar(ring.locations().cpu().numpy(), dbxda33.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n", "ax.errorbar(ring.locations().cpu().numpy(), dbyda33.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n", "ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n", "ax.tick_params(axis='y', length=0, width=0, labelsize=12)\n", "ax.set_xlabel(r'$s$', fontsize=18)\n", "ax.set_ylabel(r'$\\partial \\beta_{x,y} / \\partial a_{33}$', fontsize=18)\n", "plt.setp(ax.spines.values(), linewidth=2.0)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "c5ea706d-e7f9-4dd9-a2cd-fc6b95b6d400", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a44 derivatives\n", "\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.errorbar(ring.locations().cpu().numpy(), dbxda44.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n", "ax.errorbar(ring.locations().cpu().numpy(), dbyda44.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n", "ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n", "ax.tick_params(axis='y', length=0, width=0, labelsize=12)\n", "ax.set_xlabel(r'$s$', fontsize=18)\n", "ax.set_ylabel(r'$\\partial \\beta_{x,y} / \\partial a_{44}$', fontsize=18)\n", "plt.setp(ax.spines.values(), linewidth=2.0)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "colab": { "collapsed_sections": [ "myt0_gMIOq7b", "5d97819c" ], "name": "03_frequency.ipynb", "provenance": [] }, "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": "3.14.0" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 5 }