{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "3e915db1-ffba-40a5-b21c-5e8d6bb579c7", "metadata": {}, "outputs": [], "source": [ "from tqdm import tqdm\n", "import numpy as np\n", "from extra_data import open_run\n", "from matplotlib import pyplot as plt\n", "from scipy.ndimage import center_of_mass\n", "from wpg.source import sase_pulse\n", "import matplotlib.colors as mcolors" ] }, { "cell_type": "markdown", "id": "336eee52-5eef-4819-807d-eec2278aa5b1", "metadata": {}, "source": [ "### Load Experimental Data" ] }, { "cell_type": "code", "execution_count": 2, "id": "183fa70e-e9c3-439d-92aa-ef3bfb1b4bb1", "metadata": {}, "outputs": [], "source": [ "start_pulse = 9\n", "end_pulse = 89\n", "\n", "run = open_run(\"900384\", 11)\n", "cam = np.array(\n", " run.get_array(\n", " \"SA1_XTD9_IMGPII45/CAM/BEAMVIEW_SHIMADZU:daqOutput\", \"data.image.pixels\"\n", " ).T[\n", " :,\n", " :,\n", " start_pulse:end_pulse,\n", " ]\n", ")" ] }, { "cell_type": "markdown", "id": "d834aeee-da3c-4736-9f74-46a60de1894f", "metadata": {}, "source": [ "![image](./../img/use-case-1.png)\n", "\n", "Demonstration of correlated dynamics between the electron bunch and the photon beam, attributed to instabilities in compensation kickers." ] }, { "cell_type": "markdown", "id": "1f4aec8a-b436-4309-9fd4-806ec256737f", "metadata": {}, "source": [ "### Extract Approximate Pointing Angle" ] }, { "cell_type": "code", "execution_count": 3, "id": "fef57ae3-a01b-4a95-8116-dba1ff69970e", "metadata": {}, "outputs": [], "source": [ "px = 14.9e-06 # in m\n", "py = 10.6e-06 # in m\n", "freq = 1.1 # MHz\n", "z = 300 # observation plan in m\n", "\n", "# Calculate center of mass for each (nx, ny) slice in the (nt1, nt2) data\n", "com_p = np.array(\n", " [\n", " center_of_mass(cam[:, :, i, j])\n", " for i in range(cam.shape[2])\n", " for j in range(cam.shape[3])\n", " ]\n", ")\n", "com_p = com_p.reshape(\n", " cam.shape[2], cam.shape[3], 2\n", ") # Reshaping to (nt1, nt2, 2) for x, y coordinates\n", "com_p = com_p[:, :, 1] * py\n", "\n", "com_p_mean = com_p.mean(axis=1)\n", "com_p_std = com_p.std(axis=1)\n", "\n", "# Convert C.O.M to Pointing Angle (under geometric approximation)\n", "theta_y_mean = com_p_mean / z\n", "theta_y_std = com_p_std / z" ] }, { "cell_type": "markdown", "id": "39321784-9bf5-41e5-a0ba-6e51eeeec0c0", "metadata": {}, "source": [ "### Generate Stochastic Wavefronts" ] }, { "cell_type": "code", "execution_count": 4, "id": "fed5fa09-a54b-4033-a295-1e35d46b444e", "metadata": {}, "outputs": [], "source": [ "x = y = np.linspace(-450e-06, 450e-06, 512)\n", "t = np.linspace(-50e-15, 50e-15, 2)\n", "\n", "wavefronts = sase_pulse(\n", " x=x,\n", " y=y,\n", " t=t,\n", " photon_energy=10e3,\n", " pulse_energy=1e-03,\n", " pulse_duration=25e-15,\n", " bandwidth=1e-12,\n", " sigma=40e-06,\n", " div=3.5e-06,\n", " x0=0.0,\n", " y0=0.0,\n", " t0=0.0,\n", " theta_x=0.0,\n", " theta_y=theta_y_mean + np.random.normal(scale=theta_y_std),\n", " domain=\"freq\",\n", " polarization=\"horizontal\",\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "id": "5f88ec34-5b43-4524-a76d-6b3b42a95a3d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "80it [00:10, 7.54it/s]\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Simulated Beam Profile @ Observation Point')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from wpg.beamline import Beamline\n", "from wpg.optical_elements import Drift\n", "from wpg.wpg_uti_oe import propagation_parameters\n", "from wpg.wpg_uti_wf import plot_intensity_map\n", "\n", "\n", "for itr, wfr in tqdm(enumerate(wavefronts)):\n", " \n", " bl = Beamline()\n", " bl.append(Drift(300), propagation_parameters(5, 1, 5, 1, 'fresnel'))\n", " bl.propagate(wfr)\n", "\n", "norm = mcolors.Normalize(vmin=0, vmax=len(wavefronts))\n", "cmap = plt.get_cmap('viridis')\n", "\n", "fig, ax = plt.subplots(1,1)\n", "\n", "for itr, wfr in enumerate(wavefronts):\n", " ax.plot(wfr.get_axis('x')*1e3, wfr.get_profile('y'), color = cmap(norm(itr)))\n", "\n", "ax.set_xlim(0,2)\n", "ax.set_xlabel(\"x (mm)\")\n", "ax.set_ylabel(\"Intensity (a.u.)\")\n", "ax.set_title(\"Simulated Beam Profile @ Observation Point\")" ] } ], "metadata": { "kernelspec": { "display_name": "mid", "language": "python", "name": "mid" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" } }, "nbformat": 4, "nbformat_minor": 5 }