{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "<a href=\"https://colab.research.google.com/github/GamelinAl/mbtrack2_examples/blob/main/mbtrack2_collective_effects.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" ] }, { "cell_type": "markdown", "metadata": { "id": "IKih_9pcq9Ui" }, "source": [ "# Introduction\n", "\n", "This notebook introduces how set-up a tracking simulation including single bunch and multi-bunch collective effects in **mbtrack2**.\n", "\n", "The following classes are used to prepare a simulation with collective effects or more generally to make computations with impedance and wake functions:\n", "\n", "* The `Impedance` class is used to store impedance data.\n", "\n", "* The `WakeFunction` class is used to store wake function data.\n", "\n", "* The `WakeField` class is used to represent a single physical element which\n", " produces different types of wakes, represented by `Impedance` or\n", " `WakeFunction` objects.\n", "\n", "* The `ImpedanceModel` class is used to sum different `WakeField` elements taking into account betatron function weighting.\n", "\n", "These other classes are used in tracking to deal with single bunch and multi-bunch collective effects:\n", "\n", "* The `WakePotential` class deals with the single bunch effects, it can be used in tracking to model:\n", " * Longituinal (monopole) wake potential\n", " * Transverse monopole wake potential\n", " * Transverse dipole wake potential\n", " * Transverse quadrupolar wake potential\n", "\n", "* The `WakePotentialMonitor` class is used to monitor `WakePotential` objects and save its differents attributes (wake potentials, bunch profile, dipole moments, ...) during tracking.\n", "\n", "* The `LongRangeResistiveWall` class is used to deal with multi-bunch and multi-turn (longitudinal and tranverse) wakes from resistive wall using the algorithm defined in [1].\n", "\n", "## References\n", "[1] Skripka, Galina, et al. \"Simultaneous computation of intrabunch and interbunch collective beam motions in storage rings.\" NIM.A (2016).\n", "\n", "[2] Zotter, Bruno W., and Semyon A. Kheifets. Impedances and wakes in high-energy particle accelerators. World Scientific, 1998.\n", "\n", "[3] Gamelin, Alexis. \"Collective effects in a transient micro-bunching regime and ion cloud mitigation in ThomX.\" (2018)." ] }, { "cell_type": "markdown", "metadata": { "id": "MvPLW4R_Td8L" }, "source": [ "# Initialization" ] }, { "cell_type": "markdown", "metadata": { "id": "aBs5vypAWwt3" }, "source": [ "## mbtrack2 set-up" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "fYzgLCmGWwt3", "outputId": "7fbfbc68-8d51-400e-ed0c-b6ef50611842" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Cloning into 'mbtrack2'...\n", "remote: Enumerating objects: 1629, done.\u001b[K\n", "remote: Counting objects: 100% (311/311), done.\u001b[K\n", "remote: Compressing objects: 100% (181/181), done.\u001b[K\n", "remote: Total 1629 (delta 182), reused 212 (delta 130), pack-reused 1318\u001b[K\n", "Receiving objects: 100% (1629/1629), 1.88 MiB | 4.64 MiB/s, done.\n", "Resolving deltas: 100% (1091/1091), done.\n" ] } ], "source": [ "! git clone https://gitlab.synchrotron-soleil.fr/PA/collective-effects/mbtrack2.git" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "7vnP10wPWwt4", "outputId": "b9c2bf86-b9fe-4a80-9b1f-34f380dfc99f" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "/content/mbtrack2\n" ] } ], "source": [ "%cd mbtrack2" ] }, { "cell_type": "markdown", "metadata": { "id": "x1Ay2YXbWwt4" }, "source": [ "## Define a Synchrotron object" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "buz5EKXvWwt4" }, "outputs": [], "source": [ "import numpy as np\n", "from mbtrack2 import Synchrotron, Electron, Optics" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "GNUGFuD4Wwt4" }, "outputs": [], "source": [ "h = 20 # Harmonic number of the accelerator.\n", "L = 100 # Ring circumference in [m].\n", "E0 = 1.5e9 # Nominal (total) energy of the ring in [eV].\n", "particle = Electron() # Particle considered.\n", "ac = 1e-3 # Momentum compaction factor.\n", "U0 = 200e3 # Energy loss per turn in [eV].\n", "tau = np.array([1e-3, 1e-3, 2e-3]) # Horizontal, vertical and longitudinal damping times in [s].\n", "tune = np.array([12.2, 15.3]) # Horizontal and vertical tunes.\n", "emit = np.array([10e-9, 10e-12]) # Horizontal and vertical equilibrium emittance in [m.rad].\n", "sigma_0 = 15e-12 # Natural bunch length in [s].\n", "sigma_delta = 1e-3 # Equilibrium energy spread.\n", "chro = [2.0, 3.0] # Horizontal and vertical (non-normalized) chromaticities." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "p-PYZXYzWwt4" }, "outputs": [], "source": [ "local_beta = np.array([3, 2]) # Beta function at the tracking location.\n", "local_alpha = np.array([0, 0]) # Alpha function at the tracking location.\n", "local_dispersion = np.array([0, 0, 0, 0]) # Dispersion function and its derivative at the tracking location.\n", "optics = Optics(local_beta=local_beta, local_alpha=local_alpha,\n", " local_dispersion=local_dispersion)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "xaMGL5q6Wwt5" }, "outputs": [], "source": [ "ring = Synchrotron(h=h, optics=optics, particle=particle, L=L, E0=E0, ac=ac,\n", " U0=U0, tau=tau, emit=emit, tune=tune,\n", " sigma_delta=sigma_delta, sigma_0=sigma_0, chro=chro)" ] }, { "cell_type": "markdown", "metadata": { "id": "xETy3HQMTql_" }, "source": [ "## Define Bunch and Beam objects" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "Vcy-pUOYTwp4" }, "outputs": [], "source": [ "from mbtrack2 import Beam, Bunch" ] }, { "cell_type": "code", "source": [ "mybunch = Bunch(ring, mp_number=1e5, current=1e-3)\n", "mybunch.init_gaussian()" ], "metadata": { "id": "jG7qZK1yG0ME" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "T2Gu7M1XTzSc" }, "outputs": [], "source": [ "filling_pattern = np.ones(ring.h)*0.025\n", "mybeam = Beam(ring)\n", "mybeam.init_beam(filling_pattern, mp_per_bunch=1e3)" ] }, { "cell_type": "markdown", "metadata": { "id": "FpSZu8CceHF_" }, "source": [ "# Working with impedances" ] }, { "cell_type": "markdown", "source": [ "## Conventions\n", "\n", "The wake function and impedance conventions for **mbtrack2** follow the ones from the book \"Impedances and wakes in high-energy particle accelerators\" from Zotter and Kheifets [2].\n", "\n", "Also keep in mind that in mbtrack2, the head of the bunch is given for $\\tau < 0$ and thus the tail is for $\\tau > 0$.\n", "\n", "### Wake functions\n", "\n", "The longitudinal wake function $W_{\\parallel}$ is defined as:\n", "$$W_{\\parallel} (z) = - \\frac{1}{q} \\int_{-\\infty}^{+\\infty} E_{\\parallel} (z) dz$$\n", "\n", "Using this convention, a positive wake function corresponds to energy loss.\n", "\n", "The transverse dipolar wake function $W_{\\perp}^{D}$ is defined as:\n", "$$W_{\\perp}^{D} (z) = \\frac{1}{q \\xi} \\int_{-\\infty}^{+\\infty} [ E_{\\perp} (z) + v \\times B (z) ] dz$$\n", "Where $\\xi$ is the transverse displacement of the source particle.\n", "\n", "So using this convention, for a positive $\\xi$, a positive transverse dipolar wake function corresponds to defocusing i.e. a positive angular kick felt by the test particle.\n", "\n", "### Impedances\n", "\n", "The longitudinal impedance $Z_{\\parallel}$ is defined as:\n", "$$Z_{\\parallel} (\\omega) = \\frac{-v}{q} \\int_{-\\infty}^{+\\infty} E_{\\parallel} (z) e^{\\frac{j \\omega z}{v}} \\frac{dz}{v}$$\n", "\n", "The transverse dipolar impedance $Z_{\\perp}^{D}$ is defined as:\n", "$$Z_{\\perp}^{D} (\\omega) = \\frac{-jv}{q\\xi} \\int_{-\\infty}^{+\\infty} [ E_{\\perp} (z) + v \\times B (z) ] e^{\\frac{j \\omega z}{v}} \\frac{dz}{v}$$\n", "\n", "### Relations between impedances and wake functions\n", "\n", "If $v=c$, impedances and wake functions are simply related thourgh Fourier transforms. For the longtudinal impedance and wake function:\n", "\n", "$$Z_{\\parallel} (\\omega) = \\int_{-\\infty}^{+\\infty} W_{\\parallel} (t) e^{-j \\omega t} dt$$\n", "\n", "$$W_{\\parallel} (t) = \\frac{1}{2 \\pi} \\int_{-\\infty}^{+\\infty} Z_{\\parallel} (\\omega) e^{j \\omega t} d\\omega$$\n", "\n", "For the transverse dipolar impedance and wake function:\n", "\n", "$$Z_{\\perp}^{D} (\\omega) = j \\int_{-\\infty}^{+\\infty} W_{\\perp}^{D} (t) e^{-j \\omega t} dt$$\n", "\n", "$$W_{\\perp}^{D} (t) = \\frac{j}{2 \\pi} \\int_{-\\infty}^{+\\infty} Z_{\\perp}^{D} (\\omega) e^{j \\omega t} d\\omega$$\n", "\n", "### Relations with other ressources\n", "\n", "How the **mbtrack2** convention relates with other popular ressources or codes:\n", "* A. Chao \"Physics of Collective Beam Instabilities in High Energy Accelerators\" $⟶$ Complex conjugate for both longitudinal and transverse impedance.\n", "* CST Studio $⟶$ Same convention (for positive wake_shift in wake integration info).\n", "* ImpedanceWake2D $⟶$ Same convention." ], "metadata": { "id": "VgJWRuJR7C9z" } }, { "cell_type": "markdown", "metadata": { "id": "JxMBAW36eWkA" }, "source": [ "## Impedance and WakeFunction classes" ] }, { "cell_type": "markdown", "metadata": { "id": "4CbPBqWdebPm" }, "source": [ "The `Impedance` class is used to store and make computation on impedance data while the `WakeFunction` one does the same for wakefunction data." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "CPT-qNdSeGJZ" }, "outputs": [], "source": [ "from mbtrack2 import Impedance, WakeFunction" ] }, { "cell_type": "markdown", "metadata": { "id": "P-W9wG71eweo" }, "source": [ "An `Impedance` object can be simply initialized by inputing the frequency points, impedance values and the impedance type:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "g9CiOz-oempZ" }, "outputs": [], "source": [ "variable = np.linspace(0.1e9, 20e9, 1000) # frequency points in [Hz]\n", "function = 100 + variable*(3e-9 + 5e-8j) # impedance values in [Ohm]\n", "component_type = \"long\" # type of the impedance\n", "imp = Impedance(variable, function, component_type)" ] }, { "cell_type": "markdown", "metadata": { "id": "ACcJsAcPnLBt" }, "source": [ "The impedance data in then stored in a pandas `DataFrame` accessible using:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 455 }, "id": "LJ_muVRbpNz8", "outputId": "8cd6cfbc-af6c-486b-c875-5edc10b223db" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " real imag\n", "frequency [Hz] \n", "1.000000e+08 100.300000 5.000000\n", "1.199199e+08 100.359760 5.995996\n", "1.398398e+08 100.419520 6.991992\n", "1.597598e+08 100.479279 7.987988\n", "1.796797e+08 100.539039 8.983984\n", "... ... ...\n", "1.992032e+10 159.760961 996.016016\n", "1.994024e+10 159.820721 997.012012\n", "1.996016e+10 159.880480 998.008008\n", "1.998008e+10 159.940240 999.004004\n", "2.000000e+10 160.000000 1000.000000\n", "\n", "[1000 rows x 2 columns]" ], "text/html": [ "\n", " <div id=\"df-aa318b93-a716-4b99-ad35-ff7d7fab4fa0\">\n", " <div class=\"colab-df-container\">\n", " <div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>real</th>\n", " <th>imag</th>\n", " </tr>\n", " <tr>\n", " <th>frequency [Hz]</th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>1.000000e+08</th>\n", " <td>100.300000</td>\n", " <td>5.000000</td>\n", " </tr>\n", " <tr>\n", " <th>1.199199e+08</th>\n", " <td>100.359760</td>\n", " <td>5.995996</td>\n", " </tr>\n", " <tr>\n", " <th>1.398398e+08</th>\n", " <td>100.419520</td>\n", " <td>6.991992</td>\n", " </tr>\n", " <tr>\n", " <th>1.597598e+08</th>\n", " <td>100.479279</td>\n", " <td>7.987988</td>\n", " </tr>\n", " <tr>\n", " <th>1.796797e+08</th>\n", " <td>100.539039</td>\n", " <td>8.983984</td>\n", " </tr>\n", " <tr>\n", " <th>...</th>\n", " <td>...</td>\n", " <td>...</td>\n", " </tr>\n", " <tr>\n", " <th>1.992032e+10</th>\n", " <td>159.760961</td>\n", " <td>996.016016</td>\n", " </tr>\n", " <tr>\n", " <th>1.994024e+10</th>\n", " <td>159.820721</td>\n", " <td>997.012012</td>\n", " </tr>\n", " <tr>\n", " <th>1.996016e+10</th>\n", " <td>159.880480</td>\n", " <td>998.008008</td>\n", " </tr>\n", " <tr>\n", " <th>1.998008e+10</th>\n", " <td>159.940240</td>\n", " <td>999.004004</td>\n", " </tr>\n", " <tr>\n", " <th>2.000000e+10</th>\n", " <td>160.000000</td>\n", " <td>1000.000000</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>1000 rows × 2 columns</p>\n", "</div>\n", " <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-aa318b93-a716-4b99-ad35-ff7d7fab4fa0')\"\n", " title=\"Convert this dataframe to an interactive table.\"\n", " style=\"display:none;\">\n", " \n", " <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n", " width=\"24px\">\n", " <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n", " <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n", " </svg>\n", " </button>\n", " \n", " <style>\n", " .colab-df-container {\n", " display:flex;\n", " flex-wrap:wrap;\n", " gap: 12px;\n", " }\n", "\n", " .colab-df-convert {\n", " background-color: #E8F0FE;\n", " border: none;\n", " border-radius: 50%;\n", " cursor: pointer;\n", " display: none;\n", " fill: #1967D2;\n", " height: 32px;\n", " padding: 0 0 0 0;\n", " width: 32px;\n", " }\n", "\n", " .colab-df-convert:hover {\n", " background-color: #E2EBFA;\n", " box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n", " fill: #174EA6;\n", " }\n", "\n", " [theme=dark] .colab-df-convert {\n", " background-color: #3B4455;\n", " fill: #D2E3FC;\n", " }\n", "\n", " [theme=dark] .colab-df-convert:hover {\n", " background-color: #434B5C;\n", " box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n", " filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n", " fill: #FFFFFF;\n", " }\n", " </style>\n", "\n", " <script>\n", " const buttonEl =\n", " document.querySelector('#df-aa318b93-a716-4b99-ad35-ff7d7fab4fa0 button.colab-df-convert');\n", " buttonEl.style.display =\n", " google.colab.kernel.accessAllowed ? 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Visit the ' +\n", " '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n", " + ' to learn more about interactive tables.';\n", " element.innerHTML = '';\n", " dataTable['output_type'] = 'display_data';\n", " await google.colab.output.renderOutput(dataTable, element);\n", " const docLink = document.createElement('div');\n", " docLink.innerHTML = docLinkHtml;\n", " element.appendChild(docLink);\n", " }\n", " </script>\n", " </div>\n", " </div>\n", " " ] }, "metadata": {}, "execution_count": 12 } ], "source": [ "imp.data" ] }, { "cell_type": "markdown", "metadata": { "id": "FIwsXgGQpjZ4" }, "source": [ "The usual methods available on `DataFrame` are then usable, and a shorcut to plot the data is available:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "PTTi0R1If8lp", "outputId": "ef52c6e3-4837-4a4b-e7c2-02edfe2f935d" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = imp.plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "UnWJlpenqe-E" }, "source": [ "The `WakeFunction` class works in a similar way:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "k9xRV3LelBmI" }, "outputs": [], "source": [ "variable = np.linspace(-1e-9, 1e-9, 1000) # time points in [s]\n", "function = np.cos(variable*5e9) # wake function values in [V/C]\n", "ind = variable < 0\n", "function[ind] = 0\n", "component_type = \"long\" # type of the wake function\n", "wake = WakeFunction(variable, function, component_type)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "O0ey7emgrAlz", "outputId": "642729a9-ee29-40c3-b22c-5fba64144af9" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = wake.plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "oHqxyScysV_3" }, "source": [ "The list of possible types for `Impedance` and `WakeFunction` objects is:\n", " * `\"long\"` for (monopoloar) longitudinal\n", " * `\"xcst\"` for monopolar horizontal\n", " * `\"ycst\"` for monopolar vertical\n", " * `\"xdip\"` for dipolar horizontal\n", " * `\"ydip\"` for dipolar vertical\n", " * `\"xquad\"` for quadripolar horizontal\n", " * `\"yquad\"` for quadripolar vertical\n", "\n", "The type of the `Impedance` or `WakeFunction` can be checked using:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 36 }, "id": "bp1zoXoZrBuS", "outputId": "1f5dc7b3-b362-457a-b744-9643633625eb" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "'long'" ], "application/vnd.google.colaboratory.intrinsic+json": { "type": "string" } }, "metadata": {}, "execution_count": 16 } ], "source": [ "wake.component_type" ] }, { "cell_type": "markdown", "metadata": { "id": "0pytMa3vwNjt" }, "source": [ "Linear algebra is possible on both `Impedance` and `WakeFunction` objects of the same type:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "qVKSQwXfwmHd", "outputId": "c33b19eb-644b-4121-f89f-8cf182ed8726" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "new_wake = wake*5 + wake\n", "ax = new_wake.plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "l5S-W05yvnF3" }, "source": [ "Both `Impedance` and `WakeFunction` have a function-like behaviour and can be called at given points to get an interpolation of the data at theses points:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "L5lDaCukuo4O", "outputId": "36c5632f-2adf-473b-b7e9-ad24b5882566" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([103. +50.j, 115.+250.j, 130.+500.j])" ] }, "metadata": {}, "execution_count": 18 } ], "source": [ "freq_points = [1e9, 5e9, 10e9] # in [Hz]\n", "imp(freq_points) # interpolated data in [Ohm]" ] }, { "cell_type": "markdown", "metadata": { "id": "4PWP3Vd40DwE" }, "source": [ "The loss factor (or kick factor) can be computed for an `Impedance` assuming a Gaussian bunch using:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ny2rlMzcv2JO", "outputId": "c5aab019-6e0f-48a0-da4e-7df1d9bd2ed3" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "2174220483620.3323" ] }, "metadata": {}, "execution_count": 19 } ], "source": [ "sigma = 15e-12 # RMS bunch length in [s]\n", "imp.loss_factor(sigma) # in [V/C] or kick factor in [V/C/m] depanding on the impedance type." ] }, { "cell_type": "markdown", "metadata": { "id": "cRutLRWH1lCm" }, "source": [ "## WakeField class" ] }, { "cell_type": "markdown", "metadata": { "id": "kEPoIhtm13GM" }, "source": [ "The `WakeField` class is based on a collection of `Impedance` and `WakeFunction` objects of different types. It usually corresponds to a single physical element which produces different types of wakes." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "7OgEk9UF0Sjd" }, "outputs": [], "source": [ "from mbtrack2 import WakeField" ] }, { "cell_type": "markdown", "metadata": { "id": "j-kMUw2e3Ucu" }, "source": [ "It can be initialized from a list of `Impedance` and `WakeFunction` objects of different types:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "znp5x-0F3zR9" }, "outputs": [], "source": [ "wakefield = WakeField([wake, imp], name=\"my wake\")" ] }, { "cell_type": "markdown", "metadata": { "id": "HboeJjpj3728" }, "source": [ "The different components can then be accessed through the `Z + component_type` attribute for `Impedance` objects and through the `W + component_type` attribute for `WakeFunction` objects:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "f81C5voS4clU", "outputId": "6ca7beef-2028-4f55-84aa-fe7e91092d40" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = wakefield.Wlong.plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "IVFFZQrP5VU4" }, "source": [ "The list of components can be accessed and manipulated using the class methods:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "wBzxcIoZ5fD4", "outputId": "95186574-b038-47ee-c777-ee331cabed1d" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array(['Wlong', 'Zlong'], dtype='<U5')" ] }, "metadata": {}, "execution_count": 23 } ], "source": [ "wakefield.components # show components list" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "qYNu_OqB5jAJ" }, "outputs": [], "source": [ "wakefield.drop(\"Zlong\") # remove component from WakeField" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "kcniAnUj5oG4" }, "outputs": [], "source": [ "wakefield.append_to_model(WakeFunction(variable, function, \"xdip\")) # add component to WakeField" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "UKa-2pP254nw", "outputId": "f0a5c787-7be1-41c8-92ee-12b7f4bc3ea6" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array(['Wlong', 'Wxdip'], dtype='<U5')" ] }, "metadata": {}, "execution_count": 26 } ], "source": [ "wakefield.components # show components list" ] }, { "cell_type": "markdown", "source": [ "The `Wakefield` representation also shows the `Wakefield` name field and its components:" ], "metadata": { "id": "QszwkKakug_C" } }, { "cell_type": "code", "source": [ "wakefield" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "7m0BNR1LuSnl", "outputId": "f2c5f955-faa1-43a8-819e-994c79d3e7bd" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "WakeField my wake with components:\n", " ['Wlong', 'Wxdip']" ] }, "metadata": {}, "execution_count": 27 } ] }, { "cell_type": "markdown", "source": [ "The `WakeField` class provide two static methods to add `WakeField` objects togather taking into account betatron function weighting:\n", " * `WakeField.add_wakefields(wake1, beta1, wake2, beta2)`\n", " * `WakeField.add_several_wakefields(wakefields, beta)`" ], "metadata": { "id": "xB62sOgE7Ozn" } }, { "cell_type": "markdown", "metadata": { "id": "ed4RZP9J8O1u" }, "source": [ "Many classes in **mbtrack2** inherit from the `WakeField` class, usually to provide an implementation of the most commonly used formulas. For example, the `CircularResistiveWall` class provide a resistive wall `WakeField` element for a circular beam pipe:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "1J4JzO3K86be" }, "outputs": [], "source": [ "from mbtrack2 import CircularResistiveWall\n", "\n", "time = np.linspace(0, 200e-12, 10000) # Time points where the wake function will be evaluated in [s].\n", "frequency = np.linspace(0.1e6, 50e9, 10000) # Frequency points where the impedance will be evaluated in [Hz].\n", "length = 1 # Beam pipe length in [m].\n", "rho = 1e-6 # Resistivity in [ohm.m].\n", "radius = 10e-3 # Beam pipe radius in [m].\n", "exact = True # If False, approxmiated formulas are used for the wake function computations.\n", "\n", "rw = CircularResistiveWall(time, frequency, length, rho, radius, exact)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 454 }, "id": "o2G8ZOTk9mXF", "outputId": "c65876e6-26e3-4b80-894e-14307aaa8270" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = rw.Zxdip.plot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 465 }, "id": "RSA4XCyA9ytm", "outputId": "7ffbcb52-62cf-4e50-d721-8cb5dac6dc44" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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TkCFDtGHDBl1yySW1rjdr1izNnDkzYHVKHNICAMAsNqMed7R8/fXXdddddykiIkLNmzeXzWb7eYM2m/bt2+eb4my2c05arsngwYPVpk0bvfnmm7W2KSkpUUlJift1fn6+kpOTlZeX59PrB/3Pwn9r9a6jkqQP77lc3ZJifbZtAAAudPn5+YqNjT3n3+96jfD84Q9/0MyZM/Xwww/Lbg+++4/269dPX3755VnbhIeHKzw83O+1VM2THNICAMAc9UorpaWlGjduXFCGHUnaunWrEhMTzS4DAAAEiXqN8EycOFHvvPOOHnnkEV/Xo8LCQu3du9f9ev/+/dq6dauaNWumNm3aaPr06Tp8+LDeeOMNSdKLL76olJQUdevWTcXFxXrttde0evVqffrppz6vraEY4QEAwBz1CjxOp1PPPvusPvnkE/Xs2bPapOU///nP9S5o48aNHhcSnDZtmqTykLVw4UJlZWUpMzPT/X5paanuv/9+HT58WFFRUerZs6c+++yzGi9GaDYmLQMAYI56TVo+W5iw2WxavXp1g4oyQ10nPXnr1gXfKGP3MUnSsskD1Su5ic+2DQDAhc6vk5bXrFlT78IAAAACzatZx48//rg2bdrkr1osjwNaAACYw6vA88MPP2jkyJFq3bq17r77bn388ccqLS31V22WUPWAYT2OHgIAAB/wKvDMnz9f2dnZWrRokaKjozV16lS1aNFC119/vd544w399NNP/qrTEog7AACYw+sL6djtdg0aNEjPPvusdu/erQ0bNig1NVWvvPKKkpKSdMUVV+j555/X4cOH/VHveY0BHgAAzNHgKwd26dJFDz30kNatW6fMzExNnDhRX3zxhRYtWuSL+iyGxAMAgBnqdZZWbeLi4nT77bfr9ttv9+Vmz2tEHAAAzOfVCM/q1avVtWtX5efnV3svLy9P3bp10xdffOGz4qyGQ1oAAJjDq8Dz4osv6o477qjxwj6xsbG68847G3SVZasj7wAAYA6vAs9//vMfjRgxotb3hw0bxnV6zsDd0gEAMJ9XgScnJ6fafbOqCgkJ0bFjxxpclFVxHR4AAMzhVeBp1aqVduzYUev727ZtU2JiYoOLsiriDgAA5vAq8Fx99dV67LHHVFxcXO29U6dOacaMGRo9erTPigMAAPAFr05Lf/TRR/XBBx+oU6dOmjJlijp37ixJ2rVrl+bMmSOn06k//OEPfinUCjiiBQCAObwKPPHx8frqq6909913a/r06e45KTabTcOHD9ecOXMUHx/vl0KtwOCgFgAApvAq8Dz++OO69tpr9dFHH+nEiRPau3evDMNQx44d1bRpU3/VaB3kHQAATOFV4Km8W3pYWJiuueYa/fKXv9SVV16psLAwf9VnKeQdAADMwd3S/azqvB3m8AAAYA7ulg4AACzPp3dLP3ToEHdLPwsmLQMAYA6v5vDs2LFD3bt3r/X9li1bcrf0M1QNORzSAgDAHF6N8PTs2VOpqan6+9//roKCAn/VZFnkHQAAzOFV4Fm7dq26deum+++/X4mJie7DV6gb7qUFAIA5vAo8gwYN0vz585WVlaW//OUvOnDggAYPHqxOnTrpmWeeUXZ2tr/qtATiDgAA5qjXpOVGjRrptttu09q1a/Xdd99p7NixmjNnjtq0aaNf/vKXvq7xvMagDgAA5mvwWVodOnTQI488okcffVTR0dH68MMPfVGXNRF+AAAwhVdnaZ3p888/1/z58/Wvf/1LdrtdN954I2donQWnpQMAYA6vA8+RI0e0cOFCLVy4UHv37tWAAQP08ssv68Ybb1SjRo38UaNlcHgLAABzeBV4Ro4cqc8++0wtWrTQhAkT9D//8z/q3Lmzv2qzBG4tAQCA+bwKPKGhoXr//fc1evRoORwOf9VkWeQdAADMUefAs23bNi1ZsqTOQWfnzp3q3LmzQkIaNE0IAACgwep8llafPn28uht6WlqaMjMz61WUlXjeWoIxHgAAzFDn4RfDMPTYY48pKiqqTu1LS0vrXZRVEXcAADBHnQPPFVdcod27d9d5w2lpaYqMjKxXUVbFAA8AAOaoc+DJyMjwYxkXChIPAABmaPCVlnF2nJYOAID5CDwAAMDyCDwBxAAPAADmIPAEEIe0AAAwB4HHzwyP5yQeAADM4JPLIG/evFnPP/+8cnNz1aNHD911111KSUnxxaYthREeAADM4ZMRnnHjxmn06NH63//9X3Xq1EnXXXedPv30U19s2lLIOwAAmMMnIzxNmzbVzTffLKn8FhRjxozRL37xCw0bNswXmz+/kXIAADCdT0Z4LrroIs2ePdt9r6gmTZr4YrOWw720AAAwh08CT0lJiebOnas2bdpoxIgR6t69u9LT03X48GFfbB4AAKBBfHJI64MPPpAkFRUVafv27dq2bZu2bdum8ePH68iRI9q7d68vPua8xwAPAADmaFDgeeGFF3Tfffdp586duvjii9WoUSP1799f/fv391V9572qp6JzWjoAAOZoUODp3bu3JOmRRx7Rrl27FBkZqW7duqlHjx7q3r27Ro8e7YsaLYMRHgAAzNGgwNOmTRtJ0rJlyyRJhYWF2rlzp7Zv366VK1cSeAAAQFBoUOC56667tHfvXiUkJKhnz57ux9ixYzVp0iRf1WgZjPAAAGCOBp2ltXLlSu3fv1/XXHONjh49qsOHD+upp55S8+bN1aFDB1/VeF6rGnLIOwAAmMMnZ2m9++672rp1q/v1p59+qrfeessXm7YUrsMDAIA5fHIdnoiICH377bfu18OGDdOOHTt8sWlLIe4AAGAOn4zwvP766xo3bpyGDBmi3r17a/v27bLZbL7Y9HnPqPUFAAAIFJ+M8HTr1k2bNm3SoEGDdODAAbVt21Yff/yxLzYNAADQYD4Z4XnppZd077336sYbb9SNN97oi01aEhceBADAHD4Z4dm+fbvuvPNOOZ1OSdK3336r8ePH12tbn3/+ua655holJSXJZrNp6dKl51wnIyNDl1xyicLDw9WhQwctXLiwXp/tb8xZBgDAHD4JPK+99pouvvhijRgxQjfccIMmTJig66+/vl7bKioqUq9evTRnzpw6td+/f79GjRqloUOHauvWrZo6daomTZqkTz75pF6f72tVz8wi7wAAYA6fHNL697//rS+++EInTpzQvn37tHr1arVt27Ze2xo5cqRGjhxZ5/bz5s1TSkqKZs+eLUnq0qWLvvzyS73wwgsaPnx4vWrwF0Z4AAAwh1cjPKdPn65x+X333ae77rpLGzdu1OLFizVmzBitW7fOJwWey/r165Wenu6xbPjw4Vq/fv1Z1yspKVF+fr7Hw9+YwwMAgDm8Cjxt27bVM888o9zcXI/lX375pYYNGyZJuuyyy7R8+XI99NBDPivybLKzsxUfH++xLD4+Xvn5+Tp16lSt682aNUuxsbHuR3Jysr9LBQAAJvEq8EydOlV/+9vflJycrHvvvVf79++vsV2rVq20atUqnxToL9OnT1deXp77cejQIb98TtUxHQ5pAQBgDq8Cz4MPPqh9+/bp1Vdf1ddff61OnTrphhtu0IYNG6q1jYiI8FmRZ5OQkKCcnByPZTk5OYqJiVFkZGSt64WHhysmJsbj4W/kHQAAzOH1WVoOh0Pjx4/Xhg0btHr1ajmdTg0cOFADBw7UkiVLAn6/qLS0tGqjSStXrlRaWlpA66gThngAADBFg05LHzRokJYsWaLvvvtOffv21a233qpOnTo1qKDCwkJt3brVfTPS/fv3a+vWrcrMzJRUfihqwoQJ7vZ33XWX9u3bp4ceeki7du3S3/72N7377ru67777GlSHr3C3dAAAzOfVaekzZszwmPdS9ZGbm6uTJ09q3759DSpo48aNGjp0qPv1tGnTJEkTJ07UwoULlZWV5Q4/kpSSkqIPP/xQ9913n1566SW1bt1ar732WtCdki4xwAMAgFlshhfHoOx2uyIiInTrrbeqS5cuio2Ndc9/qXweGxuruLg4f9bsF/n5+YqNjVVeXp5P5/OMmbNOWw/lSpJm/rKbJg5o57NtAwBwoavr32+vRnhWrVql2bNna/78+brpppv0wAMPqHv37g0u9kIR6PlNAACgnFdzeIYOHarly5frP//5j8LDw5WamqoRI0YE/SnoZjJqeQ4AAAKnXpOWO3furFdeeUUHDhxQ//79dcstt6hPnz5666233DcQRXUM8AAAYI4GnaXVsmVLPfHEE9q1a5euu+463XPPPWrfvr2varMc8g4AAObwag7P9ddfX+MZWmVlZe75KWfeduKCx7AOAACm8yrwREVFKSkpSU2aNDnrAzVj0jIAAObwKvC8+eab/qoDAADAbxo0hwfeYYAHAABzEHj8zPO0dBIPAABmIPAEECM8AACYg8ADAAAsj8ATQAzwAABgDgKPn1U9jMUhLQAAzEHgCSAmLQMAYA4CTwAxwgMAgDkIPH7GqA4AAOYj8AAAAMsj8AQQ99ICAMAcBJ4AIu8AAGAOAo+feZyWbl4ZAABc0Ag8AcQIDwAA5iDwBBBnbAEAYA4CDwAAsDwCj59xawkAAMxH4Akg8g4AAOYg8AQSQzwAAJiCwONnRi3PAQBA4BB4AogBHgAAzEHgAQAAlkfgCSCuwwMAgDkIPH5W9YahHNICAMAcBJ4AIu8AAGAOAk8AMcIDAIA5CDwBxBweAADMQeABAACWR+AJJAZ4AAAwBYEngMg7AACYg8DjZ553SyfyAABgBgJPAJF3AAAwB4EngMg7AACYg8ADAAAsj8DjZ1WvvcMhLQAAzEHgCSAXiQcAAFMQeAKIs7QAADAHgSeAnAQeAABMQeDxs6oZx+kyrw4AAC5kBJ4AcrkY4QEAwAwEngB6Z+MhbT2Ua3YZAABccAg8fnbmmM6db240pQ4AAC5kBJ4Ay8kvMbsEAAAuOAQeAABgeQQeExSXOc0uAQCACwqBx89quthgfnGZCZUAAHDhIvCYIP/UabNLAADggkLgMQEjPAAABBaBxwR5pwg8AAAEUtAGnjlz5qhdu3aKiIhQamqqvvnmm1rbLly4UDabzeMRERERwGprV9O1lfMJPAAABFRQBp533nlH06ZN04wZM7R582b16tVLw4cP19GjR2tdJyYmRllZWe7HwYMHA1ixd/KLmcMDAEAgBWXg+fOf/6w77rhDt912m7p27ap58+YpKipK8+fPr3Udm82mhIQE9yM+Pj6AFXuHER4AAAIr6AJPaWmpNm3apPT0dPcyu92u9PR0rV+/vtb1CgsL1bZtWyUnJ+vaa6/Vzp07A1HuudVwTItJywAABFbQBZ7jx4/L6XRWG6GJj49XdnZ2jet07txZ8+fP17Jly/TPf/5TLpdLAwYM0A8//FDr55SUlCg/P9/jESiM8AAAEFhBF3jqIy0tTRMmTFDv3r01ePBgffDBB2rZsqVeeeWVWteZNWuWYmNj3Y/k5OSA1ct1eAAACKygCzwtWrSQw+FQTk6Ox/KcnBwlJCTUaRuhoaHq06eP9u7dW2ub6dOnKy8vz/04dOhQg+r2Boe0AAAIrKALPGFhYerbt69WrVrlXuZyubRq1SqlpaXVaRtOp1Pbt29XYmJirW3Cw8MVExPj8fAHTksHAMB8IWYXUJNp06Zp4sSJuvTSS9WvXz+9+OKLKioq0m233SZJmjBhglq1aqVZs2ZJkp588kn1799fHTp0UG5urp577jkdPHhQkyZNMrMbteK0dAAAAisoA8+4ceN07NgxPf7448rOzlbv3r21YsUK90TmzMxM2e0/D06dOHFCd9xxh7Kzs9W0aVP17dtXX331lbp27WpWF2rUJTFG/83K50rLAAAEmM2o6XbeF6D8/HzFxsYqLy/Pp4e3hjy3Rgd+PKn370pTSotG6vvUZ7LZpP8+OUIRoQ6ffQ4AABeiuv79Dro5PFZls0nNGoUpOiJEhiFl/nTS7JIAALhgEHgCyGazKaVFI0nSvmOFJlcDAMCFg8ATYB1aNpYkfZdD4AEAIFAIPH525gSprknlxxd3HskLfDEAAFygCDwBY5MkdUuKlSTtOBy4W1kAAHChI/AEWOUIz+HcUzpRVGpyNQAAXBgIPAEWGxmqts2jJEnfZjHKAwBAIBB4/Kymqxx1qxjl2XGYeTwAAAQCgSdAbLafn7vn8RxhhAcAgEAg8Jige6vywLOTER4AAAKCwONnRg33S688pLX/xyIVFHNfLQAA/I3AEyBVjmipReNwJTeLlGFIGw+cMK0mAAAuFAQek1zeoYUk6Ys9x02uBAAA6yPwmOTyDi0lSV/uPWZyJQAAWB+Bx89qOi1dkgZc1Fw2W/k9tX44wZ3TAQDwJwJPgNiqnpcuqWmjMPVr10yS9PH2bDNKAgDggkHgMdGonomSpA+3Z5lcCQAA1kbgMdGI7gmy2aSth3J16CcOawEA4C8EHj+rbQ6PJMVFR2jgReVnay36JjNAFQEAcOEh8ASIrZblv+7fVpL0zr8PqeS0M3AFAQBwASHwmCy9S5wSYiL0Y1Gplm09YnY5AABYEoHHZCEOu24b2E6S9NfVe1XmdJlbEAAAFkTgCRBbbce0JP0mra1aNA5T5k8n9cHmHwJXFAAAFwgCTxCICgvRXYMvkiQ998l3yjvFDUUBAPAlAk+Q+E1aW7Vv2UjHC0v0/Ce7zS4HAABLIfD4mXG289KrCA9x6Klru0uS/rnhoL7Ywz22AADwFQJPgNhqPTH9ZwM6tNDNqW1kGNJ97/xHxwpKAlAZAADWR+AJMo+P7qrO8dE6XliiO9/cqOIyrs0DAEBDEXiCTESoQ3NuuUQxESHanJmrexdv0WlOVQcAoEEIPH5Wtxk8njrENdbfJ1yqMIddn+zM0b2Lt6r0NKEHAID6IvAEyNmuw1OT1PbN9deb+yjMYdeH27N055sbVVhy2j/FAQBgcQSeIDasW4L+PvFShYfYtWb3Mf1qzjrtP15kdlkAAJx3CDx+Vsez0ms1uFNLLf5tf8XHhGvP0UL98i9f6r2Nh+p8ujsAACDwnBf6tGmq//e7y3Vp26YqKDmtB9/fptv/sVGHc0+ZXRoAAOcFAs95Ii46Qot/21+/H3Gxwhx2rd51VL94PkOzP92tIub2AABwVgSe80iIw667h1yk5fdcrtSUZio57dJfVu/V4OfWaG7G9yoo5h5cAADUhMDjZ0a9Tkw/u07x0Vr82/6a9+u+ats8SscLS/XMil0a+PRqPbtilw79dNLnnwkAwPksxOwCLhTenpZ+7u3ZNKJ7gq7sEqf/23pEf8vYq++PFelvGd9r7trvdUXHlhrfL1lDOscpItTh2w8HAOA8Q+A5z4U67Lq+b2uN6dNKK7/N0VsbDuqLPce19rtjWvvdMUWHh+iqrvEa1TNRgzq2VFgIg3oAgAsPgcciHPbyEZ8R3RN04HiRFv07U8u2HFF2frE+2HJYH2w5rEZhDg3o0EJDOrfU4E4t1bpplNllAwAQEAQePzPjcjntWjTS9JFd9PvhF2tz5gkt35alD7dn6VhBiVZ+m6OV3+ZIki5q2Uj9UprrsnZNdVm7ZmrdNFI2Xx97AwAgCBB4AsSmwAcJu92mS9s106Xtmunx0V2180i+1n53VGu/O6bNmbn6/liRvj9WpEXfZEqSEmIi1LddU/VoFavuSbHqlhSjpo3CAl43AAC+RuC5QNjtNvVoHaserWM15RcdlXeqTBv2/ahNB0/omwM/acfhPGXnF+vDbVn6cFuWe71WTSLVvVWMuibGqmN8Y3WIa6x2zRsxFwgAcF4h8PhZsN4AIjYyVMO6JWhYtwRJ0qlSp/7zQ642Z57QziP52nk4Twd+PKnDuad0OPeUPtmZ417XYbepbbMoXRRXHoDat2ikNs2i1KZ5lOKjI2S3c1gMABBcCDwBEuxTYyLDHOrfvrn6t2/uXpZfXKZvj+Rrx+E87cou0N6jhdp7tFCFJae173iR9h0vcs8HqhTmsKt100glN4sqD0HNotSqaaTiYyKUGBuhuOhwhTgYHQIABBaBB7WKiQitFoIMw1BOfklF+CnQnqOFyvzppDJ/OqnDJ06p1Olyh6Ga2GxSy8bhSoyNcIeghNhIJcSGq0XjcDVvFK4WjcPUrFEYwQgA4DMEHnjFZrMpITZCCbERurxjC4/3Tjtdysor1qGfTurQifIQdPDHk8rKK1Z2XrFy8ot12mXoaEGJjhaUSMo762c1jQpV88bhat4oTC2iw9WiUZiaNy4PRk2jQhUbFaomkWFqEhWqJlGhigx1cJYZAKBGBB4/M+O0dLOEOOxKbhal5GY1X9/H5TJ0vKhEOXklyso7pZz84p/DUEGxfiws1fHCEv1UVCqXIZ04WaYTJ8u0t46fH+awV4Sg8gAUWxGGYiPLl8VGhSo6IkSNw0PVODxE0REhFa9D1DgiROEhXJEaAKyKwBMgDDyUnykWFx2huOgI9WgdW2s7p8tQ7slSHS8s1Y+FJTpeVKrjBSX6sajEHYpyT5Yp91SZck+WKe9UqcqchkqdLh0rKNGxgpJ61RcWYld0RfhxB6HwUMVElC9rHB6iqDCHIsNC1CjMocgwh6LOeB4V5qh4hCgi1M6IEwAECQIPgo7Dbis/lNU4XFL0OdsbhqGTpU7lVQSg3FOlyqsSiCpf550qU2HJaRUUn1ZBcfnzwuLTKip1SpJKT7v04+lS/VhU6pN+2GxSVGhFQAp3KDK0PAw1Cg9RZGh5SIoIcSgi1K6IUIfCQyuehzgUXvE1IvTn9yNC7Qqvsiy8yrqhzHcCgLMi8OC8Z7PZ1Cg8RI3CQ5TUJNLr9Z0uozz8lFQEoeLTKqgIRoXFp1VYUlYRkk7rVKlTJ8ucOllyWicrnp8qPa2iEqdOlTl1svS0istcksoPZxaVOlVU6tTxQl/32pPDblNESGUwKg9M4SEOhYXYFe6wKyyk4uGwK7Tia1iIXeFVloed+bymZVVeV64bemY7h51LEwAIOgQev7uAJvGcpxx2m2Ijy+f6SN4HpjM5XYY7/JwscepkqVOnyspDUeXzk6VOnSp1qrjMqeIyl0pOl38tLnOq+HTF1zKnSspcKj5d8dy93OV+XfUzK8NVMLDbym9sG+qwK8RhK39utynEYVdoxeufl5c/D3HYFeawKaTidZij6nK7Qmpa317+2nN5DZ9ltynEYZPDXv7cYbdV+WqXw2GreXnFawIccP4j8ASIGbeWgDkcdlvF/J+QuhyRqzeXq3ze0pkhyB2WTrtUetqlUmfF19MulVR5XnrapTLnz+97tne6n5edNqqs5/TYnruN0zPYuwyppGKbVmCzqcYg5P7qqGV51faO2gOV5/ueQSvEbpPdVv6ew/1cNSyzyWErX8fj/cplFa/t7mWqtsxjW1W2UftnqcbPB4IRgQc4T9ntNkXYyw9hmc3lMlTmqgxRhk5XBKnTTkOnXS6Vni7/WuY0VFaxvMxV8dXp+nmZ06UyV/n6Zc7KbVVso3J7TpdKK76ergh9p93bNFR22lXts067XHK6DJ12GZ5fndWX18QwVLE9Q5I1Qpw/OWoIVWcGJs8Q9XNwslUJdDZb+Xt2W/n2bBXP7RXv26u8X3U9e0Xbn7cpd1uH3XO7HtuxV6xXZZnN9nPItFVZXn075etXXc9RpdbKto4z+2WvWl8t27FX7adnW9sZXyvbVHstzz7LJo/X5etUeS25t2MVBB4/u5BOS8eFy263KdzuOO9P7TcMQy5DngGpIpyVB6QzAtOZQcpZy3KXIWdFwKtxecXnnLm8zGnIZZQvq/zqdOnn54Yhl+uM9w25l7nfr/LV6VINy854v9qyqnWc+9/R6TLklCEFxxFWNEDVsGiTZ3i02aq/9viqKq/t5a//b8pANYky56bUBJ4AsVBIBiyr/H/lksN+fgc3f6oMhZ4hyzgjZKmGZVXDlaoHKZchQz9v1zDKg1flZ1V+bvmyikdFODOMis+raGNUCWdGleXVtuOquk3P9cq3W1F75XYqw+AZ9f28rdq283OINKr0wVm1PlfVvlXpV7V/j/JQahjl/16Vn135vntZxbar1lm//V2xr8pf+erbyBRBG3jmzJmj5557TtnZ2erVq5f+8pe/qF+/frW2f++99/TYY4/pwIED6tixo5555hldffXVAawYAKzv51DI/+LON4ZRNQT+HKoMVXntOjM4VbQxPF+fGUo9A1j5V0lnBDijfG6jSYIy8LzzzjuaNm2a5s2bp9TUVL344osaPny4du/erbi4uGrtv/rqK40fP16zZs3S6NGj9fbbb2vMmDHavHmzunfvbkIPAAAILpVhVRfoSTQ2wwi+WSapqam67LLL9Ne//lWS5HK5lJycrN/97nd6+OGHq7UfN26cioqKtHz5cvey/v37q3fv3po3b16dPjM/P1+xsbHKy8tTTEyMbzoi6ZI/rtRPRaX69L4r1Cnej6fsAABwAarr3++guzxraWmpNm3apPT0dPcyu92u9PR0rV+/vsZ11q9f79FekoYPH15rezNcmHkaAIDgEHSHtI4fPy6n06n4+HiP5fHx8dq1a1eN62RnZ9fYPjs7u9bPKSkpUUnJz/dcys/Pb0DVAAAgmAXdCE+gzJo1S7Gxse5HcnKyXz6n/HL/ds7SAgDAREE3wtOiRQs5HA7l5OR4LM/JyVFCQkKN6yQkJHjVXpKmT5+uadOmuV/n5+f7JfR8Nf1Kn28TAAB4J+hGeMLCwtS3b1+tWrXKvczlcmnVqlVKS0urcZ20tDSP9pK0cuXKWttLUnh4uGJiYjweAADAmoJuhEeSpk2bpokTJ+rSSy9Vv3799OKLL6qoqEi33XabJGnChAlq1aqVZs2aJUm69957NXjwYM2ePVujRo3S4sWLtXHjRr366qtmdgMAAASJoAw848aN07Fjx/T4448rOztbvXv31ooVK9wTkzMzM2W3/zw4NWDAAL399tt69NFH9cgjj6hjx45aunQp1+ABAACSgvQ6PGbw13V4AACA/5y31+EBAADwNQIPAACwPAIPAACwPAIPAACwPAIPAACwPAIPAACwPAIPAACwPAIPAACwPAIPAACwPAIPAACwvKC8l5YZKu+wkZ+fb3IlAACgrir/bp/rTlkEngoFBQWSpOTkZJMrAQAA3iooKFBsbGyt73Pz0Aoul0tHjhxRdHS0bDabz7abn5+v5ORkHTp0yJI3JbV6/yTr99Hq/ZOs30f6d/6zeh/92T/DMFRQUKCkpCTZ7bXP1GGEp4Ldblfr1q39tv2YmBhLfhNXsnr/JOv30er9k6zfR/p3/rN6H/3Vv7ON7FRi0jIAALA8Ag8AALA8Ao+fhYeHa8aMGQoPDze7FL+wev8k6/fR6v2TrN9H+nf+s3ofg6F/TFoGAACWxwgPAACwPAIPAACwPAIPAACwPAJPPcyZM0ft2rVTRESEUlNT9c0335y1/XvvvaeLL75YERER6tGjhz766COP9w3D0OOPP67ExERFRkYqPT1de/bs8WcXzsqb/v3973/XoEGD1LRpUzVt2lTp6enV2t96662y2WwejxEjRvi7G7Xypn8LFy6sVntERIRHm2Dbf5J3fRwyZEi1PtpsNo0aNcrdJpj24eeff65rrrlGSUlJstlsWrp06TnXycjI0CWXXKLw8HB16NBBCxcurNbG259rf/G2fx988IGuuuoqtWzZUjExMUpLS9Mnn3zi0eaJJ56otv8uvvhiP/aidt72LyMjo8bvz+zsbI92wbL/JO/7WNPPl81mU7du3dxtgmkfzpo1S5dddpmio6MVFxenMWPGaPfu3edcz+y/hQQeL73zzjuaNm2aZsyYoc2bN6tXr14aPny4jh49WmP7r776SuPHj9ftt9+uLVu2aMyYMRozZox27NjhbvPss8/q5Zdf1rx587RhwwY1atRIw4cPV3FxcaC65eZt/zIyMjR+/HitWbNG69evV3JysoYNG6bDhw97tBsxYoSysrLcj0WLFgWiO9V42z+p/EJZVWs/ePCgx/vBtP8k7/v4wQcfePRvx44dcjgcGjt2rEe7YNmHRUVF6tWrl+bMmVOn9vv379eoUaM0dOhQbd26VVOnTtWkSZM8QkF9vi/8xdv+ff7557rqqqv00UcfadOmTRo6dKiuueYabdmyxaNdt27dPPbfl19+6Y/yz8nb/lXavXu3R/1xcXHu94Jp/0ne9/Gll17y6NuhQ4fUrFmzaj+DwbIP165dq8mTJ+vrr7/WypUrVVZWpmHDhqmoqKjWdYLib6EBr/Tr18+YPHmy+7XT6TSSkpKMWbNm1dj+xhtvNEaNGuWxLDU11bjzzjsNwzAMl8tlJCQkGM8995z7/dzcXCM8PNxYtGiRH3pwdt7270ynT582oqOjjX/84x/uZRMnTjSuvfZaX5daL972b8GCBUZsbGyt2wu2/WcYDd+HL7zwghEdHW0UFha6lwXTPqxKkrFkyZKztnnooYeMbt26eSwbN26cMXz4cPfrhv6b+Utd+leTrl27GjNnznS/njFjhtGrVy/fFeYjdenfmjVrDEnGiRMnam0TrPvPMOq3D5csWWLYbDbjwIED7mXBug8NwzCOHj1qSDLWrl1ba5tg+FvICI8XSktLtWnTJqWnp7uX2e12paena/369TWus379eo/2kjR8+HB3+/379ys7O9ujTWxsrFJTU2vdpr/Up39nOnnypMrKytSsWTOP5RkZGYqLi1Pnzp11991368cff/Rp7XVR3/4VFhaqbdu2Sk5O1rXXXqudO3e63wum/Sf5Zh++/vrruummm9SoUSOP5cGwD+vjXD+Dvvg3CyYul0sFBQXVfgb37NmjpKQktW/fXrfccosyMzNNqrB+evfurcTERF111VVat26de7nV9p9U/jOYnp6utm3beiwP1n2Yl5cnSdW+56oKhr+FBB4vHD9+XE6nU/Hx8R7L4+Pjqx1PrpSdnX3W9pVfvdmmv9Snf2f6/e9/r6SkJI9v2hEjRuiNN97QqlWr9Mwzz2jt2rUaOXKknE6nT+s/l/r0r3Pnzpo/f76WLVumf/7zn3K5XBowYIB++OEHScG1/6SG78NvvvlGO3bs0KRJkzyWB8s+rI/afgbz8/N16tQpn3zfB5Pnn39ehYWFuvHGG93LUlNTtXDhQq1YsUJz587V/v37NWjQIBUUFJhYad0kJiZq3rx5+te//qV//etfSk5O1pAhQ7R582ZJvvm9FUyOHDmijz/+uNrPYLDuQ5fLpalTp2rgwIHq3r17re2C4W8hNw+Fzzz99NNavHixMjIyPCb23nTTTe7nPXr0UM+ePXXRRRcpIyNDV155pRml1llaWprS0tLcrwcMGKAuXbrolVde0R//+EcTK/OP119/XT169FC/fv08lp/P+/BC8vbbb2vmzJlatmyZxxyXkSNHup/37NlTqampatu2rd59913dfvvtZpRaZ507d1bnzp3drwcMGKDvv/9eL7zwgt58800TK/OPf/zjH2rSpInGjBnjsTxY9+HkyZO1Y8cO0+YTeYMRHi+0aNFCDodDOTk5HstzcnKUkJBQ4zoJCQlnbV/51Ztt+kt9+lfp+eef19NPP61PP/1UPXv2PGvb9u3bq0WLFtq7d2+Da/ZGQ/pXKTQ0VH369HHXHkz7T2pYH4uKirR48eI6/fI0ax/WR20/gzExMYqMjPTJ90UwWLx4sSZNmqR333232qGDMzVp0kSdOnU6L/ZfTfr16+eu3Sr7Tyo/S2n+/Pn6zW9+o7CwsLO2DYZ9OGXKFC1fvlxr1qxR69atz9o2GP4WEni8EBYWpr59+2rVqlXuZS6XS6tWrfIYBagqLS3No70krVy50t0+JSVFCQkJHm3y8/O1YcOGWrfpL/Xpn1Q+s/6Pf/yjVqxYoUsvvfScn/PDDz/oxx9/VGJiok/qrqv69q8qp9Op7du3u2sPpv0nNayP7733nkpKSvTrX//6nJ9j1j6sj3P9DPri+8JsixYt0m233aZFixZ5XE6gNoWFhfr+++/Pi/1Xk61bt7prt8L+q7R27Vrt3bu3Tv/pMHMfGoahKVOmaMmSJVq9erVSUlLOuU5Q/C30ydTnC8jixYuN8PBwY+HChca3335r/Pa3vzWaNGliZGdnG4ZhGL/5zW+Mhx9+2N1+3bp1RkhIiPH8888b//3vf40ZM2YYoaGhxvbt291tnn76aaNJkybGsmXLjG3bthnXXnutkZKSYpw6dSro+/f0008bYWFhxvvvv29kZWW5HwUFBYZhGEZBQYHxwAMPGOvXrzf2799vfPbZZ8Yll1xidOzY0SguLg76/s2cOdP45JNPjO+//97YtGmTcdNNNxkRERHGzp073W2Caf8Zhvd9rHT55Zcb48aNq7Y82PZhQUGBsWXLFmPLli2GJOPPf/6zsWXLFuPgwYOGYRjGww8/bPzmN79xt9+3b58RFRVlPPjgg8Z///tfY86cOYbD4TBWrFjhbnOuf7Ng7t9bb71lhISEGHPmzPH4GczNzXW3uf/++42MjAxj//79xrp164z09HSjRYsWxtGjR4O+fy+88IKxdOlSY8+ePcb27duNe++917Db7cZnn33mbhNM+88wvO9jpV//+tdGampqjdsMpn149913G7GxsUZGRobH99zJkyfdbYLxbyGBpx7+8pe/GG3atDHCwsKMfv36GV9//bX7vcGDBxsTJ070aP/uu+8anTp1MsLCwoxu3boZH374ocf7LpfLeOyxx4z4+HgjPDzcuPLKK43du3cHois18qZ/bdu2NSRVe8yYMcMwDMM4efKkMWzYMKNly5ZGaGio0bZtW+OOO+4w7ReRYXjXv6lTp7rbxsfHG1dffbWxefNmj+0F2/4zDO+/R3ft2mVIMj799NNq2wq2fVh5mvKZj8o+TZw40Rg8eHC1dXr37m2EhYUZ7du3NxYsWFBtu2f7Nwskb/s3ePDgs7Y3jPLT8BMTE42wsDCjVatWxrhx44y9e/cGtmMVvO3fM888Y1x00UVGRESE0axZM2PIkCHG6tWrq203WPafYdTvezQ3N9eIjIw0Xn311Rq3GUz7sKa+SfL4uQrGv4XcLR0AAFgec3gAAIDlEXgAAIDlEXgAAIDlEXgAAIDlEXgAAIDlEXgAAIDlEXgAAIDlEXgAAIDlEXgABJ2MjAzZbDbl5uYG/LNtNptsNpuaNGlSp/aVtdpstmp3uAbOR59//rmuueYaJSUlyWazaenSpaZ/nmEYevzxx5WYmKjIyEilp6drz549Xn0OgQeAqYYMGaKpU6d6LBswYICysrIUGxtrSk0LFizQd999V6e2lbXeeOONfq4KCIyioiL16tVLc+bMCZrPe/bZZ/Xyyy9r3rx52rBhgxo1aqThw4eruLi4zp8T4otiAcCXwsLClJCQYNrnN2nSRHFxcXVqW1lrZGSkSkpK/FwZ4H8jR47UyJEja32/pKREf/jDH7Ro0SLl5uaqe/fueuaZZzRkyBC/fJ5hGHrxxRf16KOP6tprr5UkvfHGG4qPj9fSpUt100031elzGOEBYJpbb71Va9eu1UsvveQ+LHTgwIFqh7QWLlyoJk2aaPny5ercubOioqJ0ww036OTJk/rHP/6hdu3aqWnTprrnnnvkdDrd2y8pKdEDDzygVq1aqVGjRkpNTVVGRobXdf7nP//R0KFDFR0drZiYGPXt21cbN2700b8CcH6ZMmWK1q9fr8WLF2vbtm0aO3asRowY4fUhprrav3+/srOzlZ6e7l4WGxur1NRUrV+/vs7bYYQHgGleeuklfffdd+revbuefPJJSVLLli114MCBam1Pnjypl19+WYsXL1ZBQYGuu+46/epXv1KTJk300Ucfad++fbr++us1cOBAjRs3TlL5L+Zvv/1WixcvVlJSkpYsWaIRI0Zo+/bt6tixY53rvOWWW9SnTx/NnTtXDodDW7duVWhoqE/+DYDzSWZmphYsWKDMzEwlJSVJkh544AGtWLFCCxYs0J/+9Ceff2Z2drYkKT4+3mN5fHy8+726IPAAME1sbKzCwsIUFRV1zkNYZWVlmjt3ri666CJJ0g033KA333xTOTk5aty4sbp27aqhQ4dqzZo1GjdunE9/MWdmZurBBx/UxRdfLElehSXASrZv3y6n06lOnTp5LC8pKVHz5s0lSbt27VKXLl3Oup3f//73evrpp/1WZ00IPADOC1FRUe6wI5X/765du3Zq3Lixx7KjR49Kqtsv5rqaNm2aJk2apDfffFPp6ekaO3asRy3AhaKwsFAOh0ObNm2Sw+HweK/yZ7F9+/b673//e9btePMzWPmfoZycHCUmJrqX5+TkqHfv3nXeDoEHwHnhzENINputxmUul0tS3X4x19UTTzyhm2++WR9++KE+/vhjzZgxQ4sXL9avfvWrevQEOH/16dNHTqdTR48e1aBBg2psExYW5h4N9YWUlBQlJCRo1apV7oCTn5+vDRs26O67767zdgg8AEwVFhbmMdHYV+ryi9kbnTp1UqdOnXTfffdp/PjxWrBgAYEHllRYWKi9e/e6X+/fv19bt25Vs2bN1KlTJ91yyy2aMGGCZs+erT59+ujYsWNatWqVevbsqVGjRvn089q0aSObzaapU6fqqaeeUseOHZWSkqLHHntMSUlJXl37isADwFTt2rXThg0bdODAATVu3FjNmjXzyXZ99Yv51KlTevDBB3XDDTcoJSVFP/zwg/7973/r+uuv90mdQLDZuHGjhg4d6n49bdo0SdLEiRO1cOFCLViwQE899ZTuv/9+HT58WC1atFD//v01evRov3yeJD300EMqKirSb3/7W+Xm5uryyy/XihUrFBERUefPIfAAMNUDDzygiRMnqmvXrjp16pT279/vs2374hezw+HQjz/+qAkTJignJ0ctWrTQddddp5kzZ/qsTiCYDBkyRIZh1Pp+aGioZs6c6bOfgXN9nlR+uPrJJ590n81ZHzbjXJ8CABcQm82mJUuWeH2biFtvvVW5ubl+vww/gPrhwoMAcIbx48erdevWdWr7xRdfqHHjxnrrrbf8XBWAhmCEBwCqqJw86XA4lJKScs72p06d0uHDhyWVn/1l5i0xANSOwAMAACyPQ1oAAMDyCDwAAMDyCDwAAMDyCDwAAMDyCDwAAMDyCDwAAMDyCDwAAMDyCDwAAMDyCDwAAMDy/j+bXFCN0mOeqwAAAABJRU5ErkJggg==\n" }, "metadata": {} } ], "source": [ "ax = rw.Wxdip.plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "D4NylVJj1sMj" }, "source": [ "## Importing from external sources" ] }, { "cell_type": "markdown", "metadata": { "id": "CLh_PL8-7wbX" }, "source": [ "In many cases, it is much more pratical (or needed) to import the impedance or wake function data from other sources. A few functions are provided to import data from other codes:\n", " * `read_CST` to read CST text file format into an `Impedance` or `WakeFunction` object.\n", " * `read_IW2D` and `read_IW2D_folder` to read IW2D files into an `Impedance` object, a `WakeFunction` object or directly into a `WakeField` object.\n", " * `read_ABCI` to read ABCI output .pot files into a `WakeField` object.\n", " * `read_ECHO2D` to read ECHO2D text file format (after matlab post-processing) into a `WakeFunction` object." ] }, { "cell_type": "markdown", "metadata": { "id": "6RiiszX2Ak9N" }, "source": [ "The `Impedance` class also has a `to_wakefunction` method and the`WakeFunction` class has both a `to_impedance` and a `deconvolution` method. They can be used to go from `Impedance` to `WakeFunction` and vice versa using FFT.\n", "\n", "The `deconvolution` method can be used to compute a \"pseudo wake function\" from wake potential data (usually obtained from EM simulation). The computation uses a simple deconvolution method [3] and, of course, the frequency content (and thus the validity) of the ouput impedance or wake function data depends on the input wake potential." ] }, { "cell_type": "markdown", "source": [ "## ImpedanceModel class" ], "metadata": { "id": "BQ800xbP1oZa" } }, { "cell_type": "markdown", "source": [ "The `ImpedanceModel` class is used to sum different `WakeField` elements taking into account betatron function weighting." ], "metadata": { "id": "FPmHFHaM1vJo" } }, { "cell_type": "code", "source": [ "from mbtrack2 import ImpedanceModel" ], "metadata": { "id": "kNiAMwZl1ngT" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model = ImpedanceModel(ring)" ], "metadata": { "id": "WwK9iU3dEL7r" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The `ImpedanceModel` class uses the lattice information stored in `ring.optics` to access the betatron functions along the ring. So the full betatron functions must be available in `ring.optics` to be able to do the betatron weigthing of the transverse impedance and wake functions correctly." ], "metadata": { "id": "ZRXOccgrFvxC" } }, { "cell_type": "code", "source": [ "ring.optics.use_local_values" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "6a7vMPd8HPZc", "outputId": "c8636619-88f2-4e36-f800-6b09b7f12b38" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "True" ] }, "metadata": {}, "execution_count": 33 } ] }, { "cell_type": "markdown", "source": [ "\n", "The last command shows that for the ring `Synchrotron` object loaded here it is not the case and only local values are available. To make it available, the data must be added using the `load_from_AT` method from the `Optics` class to load at `Accelerator Toolbox` lattice file." ], "metadata": { "id": "Xd6dyQsPHXta" } }, { "cell_type": "markdown", "source": [ "The transverse components of the summed WakeField computed by the model is normalized to the local beta function used for tracking:\n", "\n" ], "metadata": { "id": "9VF0lIPHTtMq" } }, { "cell_type": "code", "source": [ "ring.optics.local_beta" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "mTCAXhd2Tqhg", "outputId": "85fa4c1e-3790-42eb-99f9-f75f76216638" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([3, 2])" ] }, "metadata": {}, "execution_count": 34 } ] }, { "cell_type": "markdown", "source": [ "In this example, we will just assume that the beta function is constant along the ring:" ], "metadata": { "id": "thL7QeSqJFVK" } }, { "cell_type": "code", "source": [ "ring.optics.beta([0, 25, 50]) # H/V beta function at s = 0, 25, 50 m in [m]" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "44WQuORRJKLh", "outputId": "a325c646-de40-4245-ae69-109ce6b0f33a" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([[3, 3, 3],\n", " [2, 2, 2]])" ] }, "metadata": {}, "execution_count": 35 } ] }, { "cell_type": "markdown", "source": [ "Then the different contributors to the `ImpedanceModel` must be added. This can be done in one of two ways, depending on the type of `WakeField` being added:\n", "* If the `WakeField` is of the lumped type, usually corresponding to a geometric component at a given position in the lattice, then the `add` method is used.\n", "* If the `WakeField` is of the distributed type, usually corresponding to a resistive wall component with an effective radius that already takes beta weighting into account, then the `add_global` method is used.\n", "\n", "In the latter case, the `WakeField` element is added only after the summation of all the lumped type elements added with the add method." ], "metadata": { "id": "LCMDTicjJnfS" } }, { "cell_type": "code", "source": [ "from mbtrack2 import Resonator" ], "metadata": { "id": "g8xUsAhMJD7P" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "For this example, we will sum different `Resonator` elements:\n", "\n" ], "metadata": { "id": "Mroh5ms_PYWP" } }, { "cell_type": "code", "source": [ "time = np.linspace(0,200e-12, int(1e5))\n", "frequency = np.linspace(0.01e9, 50e9, int(1e5))\n", "res1 = Resonator(time, frequency, Rs=10e3, fr=10e9, Q=60, plane=\"long\")\n", "res2 = Resonator(time, frequency, Rs=30e3, fr=5e9, Q=40, plane=\"long\")\n", "res3 = Resonator(time, frequency, Rs=10e6, fr=10e9, Q=60, plane=\"x\")\n", "res4 = Resonator(time, frequency, Rs=5e6, fr=5e9, Q=40, plane=\"x\")\n", "res5 = Resonator(time, frequency, Rs=10e6, fr=10e9, Q=60, plane=\"y\")\n", "res6 = Resonator(time, frequency, Rs=5e6, fr=5e9, Q=40, plane=\"y\")\n", "res7 = Resonator(time, frequency, Rs=5000, fr=20e9, Q=1, plane=\"long\")\n", "res8 = Resonator(time, frequency, Rs=1e6, fr=20e9, Q=1, plane=\"x\")\n", "res9 = Resonator(time, frequency, Rs=1e6, fr=20e9, Q=1, plane=\"y\")" ], "metadata": { "id": "Kedgw4xgIaaf" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Then we can add them to the `ImpedanceModel`object by giving the positions the elements along the lattice and a name:" ], "metadata": { "id": "lDpykPiDSnZA" } }, { "cell_type": "code", "source": [ "model.add(wakefield=res1, positions=[22, 44], name=\"res1\")\n", "model.add(wakefield=res2, positions=[33], name=\"res2\")\n", "model.add(wakefield=res3, positions=[12, 15, 36], name=\"res3\")\n", "model.add(wakefield=res4, positions=[52], name=\"res4\")\n", "model.add(wakefield=res5, positions=[4, 6, 20], name=\"res5\")\n", "model.add(wakefield=res6, positions=[44, 53], name=\"res6\")" ], "metadata": { "id": "jmo3VMqSSbMh" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "model.add_global(wakefield=res7, name=\"res7 global\")\n", "model.add_global(wakefield=res8, name=\"res8 global\")\n", "model.add_global(wakefield=res9, name=\"res9 global\")" ], "metadata": { "id": "suUswpMhV80N" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Finaly, the `compute_sum` method must be called when all the components have been added:" ], "metadata": { "id": "OJD2JK-NVCjv" } }, { "cell_type": "code", "source": [ "model.compute_sum()" ], "metadata": { "id": "vX8UrUcrS9W3" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The result is a `sum` WakeField object which can be used for tracking or for plotting purpose:\n", "\n" ], "metadata": { "id": "fahi3ngwVQXS" } }, { "cell_type": "code", "source": [ "model.sum" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Z4zBdpzaVNBL", "outputId": "eb645631-a55e-4615-eaf6-6efc39d6ab6f" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "WakeField sum with components:\n", " ['Wlong', 'Wxdip', 'Wydip', 'Zlong', 'Zxdip', 'Zydip']" ] }, "metadata": {}, "execution_count": 41 } ] }, { "cell_type": "code", "source": [ "model.sum.Wxdip.plot()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 482 }, "id": "E4qSNiuPXArM", "outputId": "e15e26da-d0dc-4830-efde-315e732fdd38" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "<Axes: xlabel='time [s]', ylabel='$W_{xdip}$ [V/C/m]'>" ] }, "metadata": {}, "execution_count": 42 }, { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The contribution of each component can be analysed using the `plot_area` method:" ], "metadata": { "id": "q3ZM6rtoXUAC" } }, { "cell_type": "code", "source": [ "fig = model.plot_area(Z_type=\"Zlong\", component=\"real\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 474 }, "id": "mh-1kvsHTCYf", "outputId": "f9fb5e7f-a3f7-4e39-b306-bffb23554fe5" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = model.plot_area(Z_type=\"Zxdip\", component=\"imag\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 494 }, "id": "mepl3wjFTSln", "outputId": "efdd21f4-b968-4064-df53-6bd9b114cb29" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# Tracking with collective effects" ], "metadata": { "id": "txgbZaWDBIJF" } }, { "cell_type": "markdown", "source": [ "## WakePotential class" ], "metadata": { "id": "93bUR_P_BLHx" } }, { "cell_type": "markdown", "source": [ "The `WakePotential` class is used to model the **single bunch collective effects**, it computes wake potentials in time domain **from uniformly sampled wake functions** by performing a convolution with a bunch charge profile.\n", " \n", "Two different time bases are used. The first one is controled by the `n_bin` parameter and is used to compute the bunch profile. Then the bunch profile is interpolated on the wake function time base which is used to perform the convolution to get the wake potential.\n", "\n", "As the computation is based on the input wake function, **special care should be given on the choice of the time array**. It should be long enough to cover twice the longest expected bunch length in the simulation and dense enough to correctly reproduce the wake function variation." ], "metadata": { "id": "1xYrDmkFCzif" } }, { "cell_type": "code", "source": [ "from mbtrack2 import WakePotential" ], "metadata": { "id": "He6WbHE7B90V" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "wp = WakePotential(ring, wakefield=rw, n_bin=60)" ], "metadata": { "id": "oJ2deX8MMVsa" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The `WakeField` element given as input parameter to the `WakePotential` object determines which wake potential will be computed by the class.\n", "\n", "For example, for the previously defined wakefield from the `CircularResistiveWall` class:\n" ], "metadata": { "id": "Dgg9-3k1FB2K" } }, { "cell_type": "code", "source": [ "rw.wake_components" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "6YU9_XwcLiSq", "outputId": "2383f8df-e411-4772-f4f1-bbcb932c0e83" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array(['Wlong', 'Wxdip', 'Wydip'], dtype='<U5')" ] }, "metadata": {}, "execution_count": 47 } ] }, { "cell_type": "markdown", "source": [ "The `WakePotential` object will compute and apply on the bunch the longitudinal, dipolar horizontal and dipolar vertical wake potentials using the `track` method:" ], "metadata": { "id": "mYOoVbF0Lm4p" } }, { "cell_type": "code", "source": [ "wp.track(mybunch)" ], "metadata": { "id": "Ekq0ZwZ-FrqN" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The last computed wake potential is stored in the class and can be plotted:" ], "metadata": { "id": "bmiyDEXOM0jH" } }, { "cell_type": "code", "source": [ "fig = wp.plot_last_wake(\"Wlong\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 453 }, "id": "KLE_UQK1HeIQ", "outputId": "871a3fcb-b35c-49db-929b-d2df90231356" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The dipole moment used to compute dipolar wake potential is also stored:" ], "metadata": { "id": "Bw5-8SzTNm9C" } }, { "cell_type": "code", "source": [ "fig = wp.plot_last_wake(\"Wxdip\", plot_dipole=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 469 }, "id": "bOfypKQdHV0W", "outputId": "8d363dbc-5094-4684-a109-ad3b8f6a4358" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "To be able to see the dipolar wake potential correct shape, the bunch need to be offsetted:" ], "metadata": { "id": "-pIZfuk1N3xQ" } }, { "cell_type": "code", "source": [ "mybunch[\"x\"] += 1e-3\n", "mybunch[\"y\"] += 1e-3\n", "wp.track(mybunch)\n", "fig = wp.plot_last_wake(\"Wxdip\", plot_dipole=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 453 }, "id": "551SPM_4Hiaz", "outputId": "8e8a98d7-539b-4b57-b5e9-9c6389de448d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "It is possible to get a correctness estimate of the computed wake potentials using the `reference_loss` method.\n", "\n", "It compares the loss factor (and kick factors) computed in time domain and in frequency domain:\n", " * The **time domain** (TD) value is computed using the wake potentials and bunch profile stored in the `WakePotential` object (so from the last `track` call).\n", " * The **frequency domain** (FD) value is computed assuming a Gaussian distribution and uses the impedance data stored in the `WakeField` object.\n", "\n", "Both values should match assuming that the tracking bunch has a Gaussian distribution." ], "metadata": { "id": "pRBcdGuRVnli" } }, { "cell_type": "code", "source": [ "wp.reference_loss(mybunch)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 143 }, "id": "Slt8inaWHuGb", "outputId": "06e2dc1a-0e47-4c5f-e773-4fd467476bdc" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " TD factor FD factor Relative error [%]\n", "Wlong [V/C] 4.215846e+10 4.212943e+10 0.068908\n", "Wxdip [V/C/m] 1.123382e+13 1.152660e+13 -2.540089\n", "Wydip [V/C/m] 1.123398e+13 1.152660e+13 -2.538620" ], "text/html": [ "\n", " <div id=\"df-b85457d3-396a-427b-af11-a65ed8efc8bb\">\n", " <div class=\"colab-df-container\">\n", " <div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>TD factor</th>\n", " <th>FD factor</th>\n", " <th>Relative error [%]</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>Wlong [V/C]</th>\n", " <td>4.215846e+10</td>\n", " <td>4.212943e+10</td>\n", " <td>0.068908</td>\n", " </tr>\n", " <tr>\n", " <th>Wxdip [V/C/m]</th>\n", " <td>1.123382e+13</td>\n", " <td>1.152660e+13</td>\n", " <td>-2.540089</td>\n", " </tr>\n", " <tr>\n", " <th>Wydip [V/C/m]</th>\n", " <td>1.123398e+13</td>\n", " <td>1.152660e+13</td>\n", " <td>-2.538620</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>\n", " <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-b85457d3-396a-427b-af11-a65ed8efc8bb')\"\n", " title=\"Convert this dataframe to an interactive table.\"\n", " style=\"display:none;\">\n", " \n", " <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n", " width=\"24px\">\n", " <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n", " <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The `track` method of the `WakePotential` can also be used on `Beam` objects, each `Bunch` will compute and apply its own wake potential.\n", "\n" ], "metadata": { "id": "1L-cvcHzXmcU" } }, { "cell_type": "markdown", "source": [ "## WakePotentialMonitor class" ], "metadata": { "id": "Y0Txxkbh5AG-" } }, { "cell_type": "markdown", "source": [ "The `WakePotentialMonitor` class is used to monitor `WakePotential` objects and save its differents attributes (wake potentials, bunch profile, dipole moments, ...) during tracking." ], "metadata": { "id": "xCKOKwj_5yl_" } }, { "cell_type": "code", "source": [ "from mbtrack2 import WakePotentialMonitor" ], "metadata": { "id": "ulvOkezR8P7u" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "It is defined in the same way as other `Monitor` class objects, the `bunch_number` parameter is only used if a `Beam` object is tracked instead of a `Bunch`.\n", "\n" ], "metadata": { "id": "fEu-cxynCRYc" } }, { "cell_type": "code", "source": [ "wp_mon = WakePotentialMonitor(bunch_number=0, wake_types=[\"Wlong\",\"Wxdip\",\"Wydip\"], n_bin=60, save_every=1, buffer_size=10, total_size=100, file_name=\"save\", mpi_mode=False)" ], "metadata": { "id": "OU0Bp9nl86gK" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "\n", "The `WakePotentialMonitor` `track` method takes both the `Bunch` (or `Beam`) as first parameter and the `WakePotential` as second parameter.\n", "\n", "Now let us set up a small tracking example with both `WakePotential` and `WakePotentialMonitor` objects:\n" ], "metadata": { "id": "FAwHTzvHCz09" } }, { "cell_type": "code", "source": [ "from mbtrack2.tracking import LongitudinalMap, RFCavity, SynchrotronRadiation, TransverseMap" ], "metadata": { "id": "hGoqDrSF8pP9" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "LongMap = LongitudinalMap(ring)\n", "RF = RFCavity(ring, m=1, Vc=1e6, theta=np.arccos(ring.U0/1e6))\n", "SR = SynchrotronRadiation(ring)\n", "TransMap = TransverseMap(ring)" ], "metadata": { "id": "PPp2R9N1_Opd" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "turns = 100\n", "for i in range(turns):\n", " LongMap.track(mybunch)\n", " SR.track(mybunch)\n", " TransMap.track(mybunch)\n", " RF.track(mybunch)\n", "\n", " # collective effects part\n", " wp.track(mybunch)\n", " wp_mon.track(mybunch, wp)" ], "metadata": { "id": "hp0KDeK_8eRu" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The saved data can be accessed directly in the `\"save.hdf5\"` file or plotted directly using the `plot_wakedata` function:" ], "metadata": { "id": "U-cJx0oB_VDO" } }, { "cell_type": "code", "source": [ "from mbtrack2 import plot_wakedata" ], "metadata": { "id": "3pLMRtwd9i8l" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Here showing the longitudinal wake potential and bunch profile at different turns:" ], "metadata": { "id": "lvQ-NdX7_uaM" } }, { "cell_type": "code", "source": [ "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n", " stop=None, step=10, profile_plot=True, streak_plot=False,\n", " bunch_profile=False, dipole=False)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 453 }, "id": "gxRvybqr97ev", "outputId": "b3b18bca-7b0d-49a8-aa0e-162349e409b4" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n", " stop=None, step=10, profile_plot=True, streak_plot=False,\n", " bunch_profile=True, dipole=False)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 469 }, "id": "euJV_hIg-L2F", "outputId": "159e6294-991a-44e6-e758-4df2cf473147" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "And the horizontal dipolar wake potential and dipole moment:" ], "metadata": { "id": "JEshpxnaBcYc" } }, { "cell_type": "code", "source": [ "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wxdip\", start=0,\n", " stop=None, step=10, profile_plot=True, streak_plot=False,\n", " bunch_profile=False, dipole=False)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 453 }, "id": "Y4FUlUcM-nH8", "outputId": "500613c6-f4b9-4f2e-dcca-dbdba92cf23b" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wxdip\", start=0,\n", " stop=None, step=10, profile_plot=True, streak_plot=False,\n", " bunch_profile=False, dipole=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 453 }, "id": "2aZ_w8Uz-dps", "outputId": "d1fd7d8d-b746-42f1-e24f-9d3d2fa219c2" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 1 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "The same data can also be plotted in \"streak_plot\" mode:" ], "metadata": { "id": "q8AOu3SWBgiM" } }, { "cell_type": "code", "source": [ "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n", " stop=None, step=None, profile_plot=False, streak_plot=True,\n", " bunch_profile=False, dipole=False)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 453 }, "id": "8Qo5oo4q9pSl", "outputId": "59e39316-040b-4327-931c-779085d9b191" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 2 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n", " stop=None, step=None, profile_plot=False, streak_plot=True,\n", " bunch_profile=True, dipole=False)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 469 }, "id": "HU-652g0-EE7", "outputId": "eb4b55e0-0bc4-4e30-b9bc-b45f3e4c5069" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "<Figure size 640x480 with 2 Axes>" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## LongRangeResistiveWall class" ], "metadata": { "id": "W5teYcv-Bhve" } }, { "cell_type": "markdown", "source": [ "The `LongRangeResistiveWall` class is used to deal with multi-bunch and multi-turn wakes from resistive wall using the algorithm defined in [1].\n", " \n", "The main approximations done in this class:\n", " * Bunches are treated as point charge.\n", " * Assymptotic expression for the resistive wall wake functions are used.\n", " * Multi-turn wakes are limited to `nt` turns.\n", "\n", "**Self-bunch interaction is not included in this class and should be dealed with the WakePotential class!**" ], "metadata": { "id": "N8Ak1omsJs2I" } }, { "cell_type": "code", "source": [ "from mbtrack2 import LongRangeResistiveWall" ], "metadata": { "id": "VRrOdaWVBJcB" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "length = 1 # Length of the resistive pipe to consider in [m].\n", "rho = 1e-6 # Effective resistivity to consider in [ohm.m] as in [1].\n", "radius = 10e-3 # Beam pipe radius to consider in [m].\n", "types=[\"Wlong\",\"Wxdip\",\"Wydip\"] # Wake types to consider.\n", "nt=50 # Number of turns to consider for the long range wakes.\n", "x3=None # Horizontal effective radius of the 3rd power in [m], as Eq.27 in [1]. The default is radius.\n", "y3=None # Vertical effective radius of the 3rd power in [m], as Eq.27 in [1]. The default is radius." ], "metadata": { "id": "n3Xkq6WkbAUl" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The effective resistivity and radius, taking into account the betatron function averaging, as defined in [1] can be computed using the `PhysicalModel` class." ], "metadata": { "id": "xbj2GR6Q8kb-" } }, { "cell_type": "code", "source": [ "lrrw = LongRangeResistiveWall(ring=ring, beam=mybeam, length=length, rho=rho, radius=radius, types=types, nt=nt, x3=x3, y3=y3)" ], "metadata": { "id": "SFYyHmhT4U70" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The `LongRangeResistiveWall` class can only be used with `Beam` objects and not with `Bunch` objects." ], "metadata": { "id": "2vYpYyEExHuy" } }, { "cell_type": "code", "source": [ "turns = 100\n", "for i in range(turns):\n", " LongMap.track(mybeam)\n", " SR.track(mybeam)\n", " TransMap.track(mybeam)\n", " RF.track(mybeam)\n", "\n", " # collective effects part\n", " wp.track(mybeam) # single bunch wake\n", " lrrw.track(mybeam) # multi-bunch and multi-turn wake" ], "metadata": { "id": "og4vC8Bj5F0U" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "To model correctly the physics of the resistive wall, both the WakePotential (taking into account the resisitive wall wake function and possibly the broad band impedance) and the LongRangeResistiveWall are needed.\n", "\n", "\n", "\n" ], "metadata": { "id": "f70jOVr-6L2j" } } ], "metadata": { "colab": { "provenance": [], "toc_visible": true, "include_colab_link": true }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }