{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Gravitational waveforms to each other###" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: pycbc in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages/PyCBC-9rc6331-py3.7-linux-x86_64.egg (9rc6331)\n", "Requirement already satisfied: lalsuite in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (6.70)\n", "Requirement already satisfied: ligo-common in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (1.0.3)\n", "Requirement already satisfied: numpy>=1.16.0 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (1.19.0)\n", "Requirement already satisfied: Mako>=1.0.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (1.1.3)\n", "Requirement already satisfied: cython>=0.29 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (0.29.20)\n", "Requirement already satisfied: decorator>=3.4.2 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (4.4.2)\n", "Requirement already satisfied: matplotlib>=1.5.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (3.2.2)\n", "Requirement already satisfied: pillow in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (7.1.2)\n", "Requirement already satisfied: h5py>=2.5 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (2.10.0)\n", "Requirement already satisfied: jinja2 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (2.11.2)\n", "Requirement already satisfied: mpld3>=0.3 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (0.5.1)\n", "Requirement already satisfied: lscsoft-glue>=1.59.3 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (2.0.0)\n", "Requirement already satisfied: emcee==2.2.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (2.2.1)\n", "Requirement already satisfied: requests>=1.2.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (2.24.0)\n", "Requirement already satisfied: beautifulsoup4>=4.6.0 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (4.9.1)\n", "Requirement already satisfied: six>=1.10.0 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (1.15.0)\n", "Requirement already satisfied: ligo-segments in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (1.2.0)\n", "Requirement already satisfied: tqdm in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (4.46.1)\n", "Requirement already satisfied: gwdatafind in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (1.0.4)\n", "Requirement already satisfied: astropy>=2.0.3 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (4.0.1.post1)\n", "Requirement already satisfied: scipy>=0.16.0 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pycbc) (1.5.0)\n", "Requirement already satisfied: python-dateutil in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from lalsuite) (2.8.1)\n", "Requirement already satisfied: MarkupSafe>=0.9.2 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from Mako>=1.0.1->pycbc) (1.1.1)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from matplotlib>=1.5.1->pycbc) (1.2.0)\n", "Requirement already satisfied: cycler>=0.10 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from matplotlib>=1.5.1->pycbc) (0.10.0)\n", "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from matplotlib>=1.5.1->pycbc) (2.4.7)\n", "Requirement already satisfied: pyOpenSSL in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from lscsoft-glue>=1.59.3->pycbc) (19.1.0)\n", "Requirement already satisfied: idna<3,>=2.5 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from requests>=1.2.1->pycbc) (2.9)\n", "Requirement already satisfied: chardet<4,>=3.0.2 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from requests>=1.2.1->pycbc) (3.0.4)\n", "Requirement already satisfied: certifi>=2017.4.17 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from requests>=1.2.1->pycbc) (2020.6.20)\n", "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from requests>=1.2.1->pycbc) (1.25.9)\n", "Requirement already satisfied: soupsieve>1.2 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from beautifulsoup4>=4.6.0->pycbc) (2.0.1)\n", "Requirement already satisfied: cryptography>=2.8 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (2.9.2)\n", "Requirement already satisfied: cffi!=1.11.3,>=1.8 in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from cryptography>=2.8->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (1.14.0)\n", "Requirement already satisfied: pycparser in /home/ahnitz/projects/PyCBC-Tutorials/env/lib/python3.7/site-packages (from cffi!=1.11.3,>=1.8->cryptography>=2.8->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (2.20)\n" ] } ], "source": [ "# Install the software we need\n", "import sys\n", "!{sys.executable} -m pip install pycbc ligo-common --no-cache-dir" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Strain')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "# We learn about the potential parameters of a source by comparing it to many different waveforms\n", "# each of which represents a possible source with different properties. \n", "import pylab\n", "from pycbc.waveform import get_td_waveform\n", "\n", "# We can directly compare how similar waveforms are to each other using an inner product between then called \n", "# a 'match'. This maximizes over the possible time of arrival and phase. We'll generate a reference waveform\n", "# which we'll compare to.\n", "m1 = m2 = 20\n", "f_lower = 20\n", "approximant = \"SEOBNRv4\"\n", "delta_t = 1.0 / 2048\n", "hp, _ = get_td_waveform(approximant=approximant,\n", " mass1=m1, mass2=m2,\n", " delta_t=delta_t, f_lower=f_lower)\n", "pylab.plot(hp.sample_times, hp)\n", "pylab.xlabel('Time (s)')\n", "pylab.ylabel('Strain')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(20, 1000)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# How similar waveforms are to each other depends on how important we consider different frequencies, we \n", "# can account for this by weighting with an estimated power spectral density. We'll use here \n", "# the predicted final Advanced LIGO final design sensitivity\n", "from pycbc.psd import aLIGOZeroDetHighPower\n", "psd = aLIGOZeroDetHighPower(len(hp) // 2 + 1, 1.0 / hp.duration, f_lower)\n", "\n", "pylab.loglog(psd.sample_frequencies, psd)\n", "pylab.xlabel('Frequency (Hz)')\n", "pylab.ylabel('Strain**2 / Hz')\n", "pylab.xlim(20, 1000)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.05, 0.02)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We can now compare how similar our waveform is to others with different masses\n", "from pycbc.filter import match\n", "import numpy\n", "\n", "masses = numpy.arange(19, 21, .2)\n", "matches = []\n", "for m2 in masses:\n", " hp2, _ = get_td_waveform(approximant=approximant,\n", " mass1=m1, mass2=m2,\n", " delta_t=delta_t, f_lower=f_lower)\n", " hp2 = hp2[:len(hp)] if len(hp) < len(hp2) else hp2\n", " hp2.resize(len(hp))\n", " \n", " m, idx = match(hp, hp2, psd=psd, low_frequency_cutoff=f_lower)\n", " matches.append(m)\n", " pylab.plot(hp2.sample_times, hp2)\n", "pylab.xlim(-.05, .02)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Mass of second object (Solar Masses)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pylab.plot(masses, matches)\n", "pylab.ylabel('Match')\n", "pylab.xlabel('Mass of second object (Solar Masses)')\n", "\n", "# You can think of the match also as the fraction of signal-to-noise that you could recover with a template that \n", "# doesn't *exactly* look like your source" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }