{ "cells": [ { "cell_type": "code", "execution_count": 6, "id": "a4b41840-7e30-49e8-a4d1-5b78cd2bd616", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Radius at h = 39 km: 0.0811 \n", "Radius at h = 4.5 km: 0.0808 m\n" ] } ], "source": [ "#### Imaging Atmospheric Cherenkov Technique ########\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Function to calculate r(h)\n", "def calculate_radius(h):\n", " H0 = 8.0 # km\n", " nh = 1 + 0.000283 * np.exp(-h / H0)\n", " theta = np.arccos(1 / nh)\n", " return h * np.tan(theta)\n", "\n", "# Generate values for h\n", "heights = np.linspace(0, 80, 100) # Emission heights from 0 to 100 km\n", "\n", "# Calculate corresponding radii\n", "radii = calculate_radius(heights)\n", "\n", "# Plot the results\n", "plt.figure(figsize=(8, 6))\n", "plt.plot(heights, radii, label=r'$r(h) = h \\dot \\tan(\\arccos(1/(1 + 0.000283 e^{-h/H_0})))$')\n", "\n", "# Calculate and plot for h = 39 km\n", "h_39_km = 39\n", "radius_at_39_km = calculate_radius(h_39_km)\n", "plt.scatter([h_39_km], [radius_at_39_km], color='red', marker='o', label=f'h = {h_39_km} km')\n", "\n", "# Calculate and plot for h = 4.5 km\n", "h_4_km = 4.5\n", "radius_at_4_km = calculate_radius(h_4_km)\n", "plt.scatter([h_4_km], [radius_at_4_km], color='green', marker='o', label=f'h = {h_4_km} km')\n", "\n", "# Join the red and green points with a line\n", "plt.plot([h_4_km, h_39_km], [radius_at_4_km, radius_at_39_km], color='gray', linestyle='--', label='Connection')\n", "\n", "plt.title('Radius of Cherenkov Light Cone at Ground Level vs. Emission Height')\n", "plt.xlabel('Emission Height (km)')\n", "plt.ylabel('Radius (m)')\n", "plt.grid(True)\n", "plt.legend()\n", "plt.show()\n", "\n", "# Print the radius at h = 39 km\n", "print(f'Radius at h = {h_39_km} km: {radius_at_39_km:.4f} ')\n", "print(f'Radius at h = {h_4_km} km: {radius_at_4_km:.4f} m')\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "b86ed6b5-2b9f-4466-b060-e27e479af894", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Load data from the text file\n", "PAdata = np.loadtxt('auger_public_2023_11_28_cuts.txt')\n", "\n", "# Extract relevant columns\n", "xvalues = PAdata[:, 6]\n", "yvalues = PAdata[:, 7]\n", "energies = PAdata[:, 5]\n", "\n", "# Apply a mask to filter out data points with energies less than 4\n", "mask = (energies < 4.0)\n", "xvalues_mask = xvalues[~mask]\n", "yvalues_mask = yvalues[~mask]\n", "\n", "# Create a scatter plot\n", "Figure = plt.figure(figsize=(5, 3), dpi=300) # figsize in inches!\n", "Ax1 = Figure.gca()\n", "Ax1.scatter(xvalues_mask, yvalues_mask, linestyle='None', color='k', marker='o')\n", "\n", "# Set labels and save the figure\n", "Ax1.set_xlabel('Galactic Longitude (deg)', fontsize=10)\n", "Ax1.set_ylabel('Galactic Latitude (deg)', fontsize=10)\n", "Figure.savefig(\"PAdata_galcoord.png\", bbox_inches='tight', transparent=False)\n", "Figure.savefig(\"PAdata_galcoord.pdf\", bbox_inches='tight', transparent=True)\n", "plt.close()\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "d3a1bc83-b42a-4082-ab10-7488ee555953", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Load the data from the downloaded ASCII file\n", "data = np.loadtxt('auger_public_2023_11_28_cuts.txt')\n", "\n", "# Extract relevant columns (assuming the format of your file)\n", "energies = data[:, 0] # Adjust column index as needed\n", "galactic_longitude = data[:, 6] # Adjust column index as needed\n", "galactic_latitude = data[:, 7] # Adjust column index as needed\n", "\n", "# Apply a filter for energies greater than 4 EeV\n", "mask = (energies > 4.0)\n", "filtered_galactic_longitude = galactic_longitude[mask]\n", "filtered_galactic_latitude = galactic_latitude[mask]\n", "\n", "# Plot the direction of origin of the particles in galactic coordinates\n", "plt.figure(figsize=(10, 6))\n", "plt.scatter(filtered_galactic_longitude, filtered_galactic_latitude, marker='.', alpha=0.5)\n", "plt.title('Direction of Origin of High-Energy Cosmic Rays (E > 4 EeV)')\n", "plt.xlabel('Galactic Longitude (deg)')\n", "plt.ylabel('Galactic Latitude (deg)')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "6124e359-c9fc-43f6-8c2b-18b8d8ded0fa", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }