{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IPN annulus map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Interplanetary Network ([IPN](https://heasarc.gsfc.nasa.gov/W3Browse/all/ipngrb.html)) is a group of spacecrafts that localize gamma-ray bursts (GRBs) based on the arrival time of the event at the location of each space mission. This, as other triangulation methods, results in a localization annulus when only two missions detect the GRB. \n", "\n", "The following function returns a multi-resolution map that approximately describes this localization probability. The strategy is similar to generating a map for a well-localized source, as shown in the [Quick Start](Intro.ipynb)) tutorial. We'll first generate an empty map with high resolution around the approximate region where we need it. Then we'll evaluate a normal distribution (in the radial coordinate) around the middle of the annulus." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import mhealpy as mhp\n", "from mhealpy import HealpixMap,HealpixBase\n", "import numpy as np\n", "\n", "def get_annulus_map(theta, phi, radius, sigma):\n", " \"\"\"\n", " Obtain a probability distribution map representing the annulus resulting\n", " from triangulating data from two observers. The annulus is defined\n", " by the locations of the circle's center, radius and width.\n", " \n", " Args:\n", " theta: Colatitude of the circle center [rad]\n", " phi: Longitude if the circle center [rad]\n", " radius: Angular radius of the circle\n", " sigma: Circle's width, defined as the standard deviation of a\n", " radial distribution [rad]\n", " \n", " Return:\n", " HealpixMap\n", " \"\"\"\n", " \n", " # First, get an equivalent single-resolution order, such that the pixel\n", " # size is smaller than the annulus width\n", " \n", " approx_nside = np.sqrt(4*np.pi/12)/sigma # Pixel size is approximately sqrt(4*pi/12)/nside\n", " order = int(np.ceil(np.log2(approx_nside))+2)\n", " \n", " mEq = HealpixBase(order = order, scheme = 'nested') # \"Empty\" map\n", "\n", " # Now, get the pixels around the annulus' main circle, which is the only\n", " # region that needs high resolution. We query the equivalent \n", " # to 3 standard deviations around.\n", " # We use query_disc to get the pixels within the outer and inner bounds. The\n", " # pixels we want are the intersection between these.\n", " \n", " center_vec = mhp.ang2vec(theta, phi)\n", " \n", " outer_disc= mEq.query_disc(center_vec, radius = radius + 3*sigma)\n", " inner_disc = mEq.query_disc(center_vec, radius = radius - 3*sigma)\n", " \n", " hires_pix = np.setdiff1d(outer_disc, inner_disc)\n", "\n", " # Next, let mhealpy generate the apropiate mesh for a multi-resolution map \n", " # containing these pixels\n", " \n", " m = HealpixMap.moc_from_pixels(mEq.nside, hires_pix, nest = mEq.is_nested, density = False)\n", "\n", " # We then initialize all pixels based on a radial normal distribution\n", " \n", " for pix in range(m.npix):\n", " pix_vec = m.pix2vec(pix)\n", " pix_radius = np.arccos(sum(pix_vec*center_vec))\n", " m[pix] = np.exp(-(pix_radius - radius)**2/2/sigma**2) * m.pixarea(pix).value\n", " \n", " # Finally, normalize probability distribution to 1 and return\n", " m /= sum(m)\n", " \n", " return m" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use it to create a map and plot it:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m0 = get_annulus_map(theta = np.deg2rad(90), \n", " phi = np.deg2rad(45), \n", " radius = np.deg2rad(60), \n", " sigma = np.deg2rad(1))\n", "\n", "#Plot\n", "import matplotlib.pyplot as plt\n", "\n", "m0.plot()\n", "m0.plot_grid(ax = plt.gca(), linewidth = .1, color = 'white', alpha = .5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's assume a third spacecraft detected the event and we have an extra constrain that results in a second annulus" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m1 = get_annulus_map(theta = np.deg2rad(45), \n", " phi = np.deg2rad(90), \n", " radius = np.deg2rad(20), \n", " sigma = np.deg2rad(0.1))\n", "\n", "m1.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This constrains the source location to approximately two points in the sky" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# This divides the value of each pixel by its area, turning the map into a probability density distribution\n", "m0.density(True)\n", "m1.density(True)\n", "\n", "mProd = m0*m1\n", "\n", "# Return to a probability distribution and normalize\n", "mProd.density(False)\n", "mProd /= sum(mProd)\n", "\n", "mProd.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the details by zooming into one of them. It has an elongated shape since one of the annuli was much narrower than the other." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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