{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bd718012-f88c-43b9-8474-4aaafb0846e2",
   "metadata": {},
   "source": [
    "# Aladdin active"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d789e2f-eb69-4537-a277-d16d65e17518",
   "metadata": {},
   "source": [
    "Active harmonic cavity case w/ standard Aladdin lattice:\n",
    "+ Fig. 8 (a) & 8 (b) of [1]\n",
    "\n",
    "[1]: Bosch, R. A., Kleman, K. J., & Bisognano, J. J. (2001). Robinson instabilities with a higher-harmonic cavity. \n",
    "Physical Review Special Topics-Accelerators and Beams, 4(7), 074401."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9b22f52-0d75-49a7-bb5b-50fd212ad61f",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "97119c55-d1e6-4de3-aa44-a62737de8541",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-30T13:34:26.063783Z",
     "iopub.status.busy": "2026-06-30T13:34:26.063565Z",
     "iopub.status.idle": "2026-06-30T13:34:38.636068Z",
     "shell.execute_reply": "2026-06-30T13:34:38.635454Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mbtrack2 import CavityResonator\n",
    "from aladdin import aladdin\n",
    "from albums.scan import scan_HC_beta_I0_active\n",
    "from albums import SystemState\n",
    "from albums import EquilibriumOptions, TheoryOptions\n",
    "from albums import DEFAULT_FLOWS"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90d4628a-da53-46f3-9dee-f5bc4e9bdd80",
   "metadata": {},
   "source": [
    "## Ring and cavity setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "397457bf-49c7-432b-b33f-18bfc77bebb3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-30T13:34:38.638052Z",
     "iopub.status.busy": "2026-06-30T13:34:38.637766Z",
     "iopub.status.idle": "2026-06-30T13:34:38.641008Z",
     "shell.execute_reply": "2026-06-30T13:34:38.640651Z"
    }
   },
   "outputs": [],
   "source": [
    "ring = aladdin(mode=\"standard\", V_RF=90e3)\n",
    "\n",
    "MC = CavityResonator(ring, m=1, Rs=0.5e6, Q=8000, QL=8000, detune=100e3)\n",
    "MC.beta = 11\n",
    "MC.Vc = 90e3\n",
    "MC.theta = np.arccos(ring.U0/MC.Vc)\n",
    "\n",
    "HC = CavityResonator(ring, m=4, Rs=1.24e6, Q=20250, QL=20250, detune=100e3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a645ef7-4761-481c-8e9a-e0c074982b91",
   "metadata": {},
   "source": [
    "# Benchmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1abcf995-df57-47ed-8431-191062ae5498",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-30T13:34:38.642352Z",
     "iopub.status.busy": "2026-06-30T13:34:38.642235Z",
     "iopub.status.idle": "2026-06-30T13:34:38.644613Z",
     "shell.execute_reply": "2026-06-30T13:34:38.644285Z"
    }
   },
   "outputs": [],
   "source": [
    "points = 50\n",
    "currents = np.linspace(0, 300e-3, points)\n",
    "HC_beta_vals = np.linspace(0, 300, points)\n",
    "method = \"Bosch\"\n",
    "flow = DEFAULT_FLOWS[method]\n",
    "flow_no_coupling = DEFAULT_FLOWS[f\"{method}_no_coupling\"]\n",
    "N_sigma = 20\n",
    "tau_boundary = ring.sigma_0*N_sigma\n",
    "\n",
    "eq_opts = EquilibriumOptions(tau_boundary=tau_boundary,\n",
    "                             passive_harmonic_cavity=False,\n",
    "                             auto_set_MC_theta=True,\n",
    "                             optimal_tunning=True,\n",
    "                             auto_set_for_xi=True,\n",
    "                             xi=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "719999ce-324f-4e29-8dd7-22efc23120a9",
   "metadata": {},
   "source": [
    "## Active harmonic cavity - Robinson instabilities without coupling"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bef9a18-0136-48df-84a4-cb2349659c13",
   "metadata": {},
   "source": [
    "Fig. 8 (a) in [1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d8d73721-b856-4bc8-b193-bf4d197250e7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-30T13:34:38.645889Z",
     "iopub.status.busy": "2026-06-30T13:34:38.645773Z",
     "iopub.status.idle": "2026-06-30T13:34:43.609168Z",
     "shell.execute_reply": "2026-06-30T13:34:43.608630Z"
    }
   },
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      "text/plain": [
       "<Figure size 1600x900 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = scan_HC_beta_I0_active(\n",
    "                       SystemState(ring, [MC, HC]),\n",
    "                       HC_beta_vals,\n",
    "                       currents,\n",
    "                       flow=flow_no_coupling,\n",
    "                       eq_opts=eq_opts,\n",
    "                       theory_opts=TheoryOptions(mode_coupling=False))\n",
    "\n",
    "result.plot(\"xi\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd911a16-a631-444f-8fbd-ebd13ec93b34",
   "metadata": {},
   "source": [
    "## Active harmonic cavity - Robinson instabilities with coupling"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "659c1e6f-667d-4d3a-9f04-f6d151c24a25",
   "metadata": {},
   "source": [
    "Fig. 8 (b) in [1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "009cae63-7114-47a6-b236-4fd439630eb3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-30T13:34:43.611615Z",
     "iopub.status.busy": "2026-06-30T13:34:43.611520Z",
     "iopub.status.idle": "2026-06-30T13:34:50.069136Z",
     "shell.execute_reply": "2026-06-30T13:34:50.068565Z"
    }
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 1600x900 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = scan_HC_beta_I0_active(\n",
    "                       SystemState(ring, [MC, HC]),\n",
    "                       HC_beta_vals,\n",
    "                       currents,\n",
    "                       flow=flow,\n",
    "                       eq_opts=eq_opts,\n",
    "                       theory_opts=TheoryOptions(mode_coupling=True))\n",
    "\n",
    "result.plot(\"xi\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eda41675-f826-4af8-b712-f56b0be70f12",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}