{ "cells": [ { "cell_type": "markdown", "id": "b2df2360-2009-4874-a7cd-435396267089", "metadata": {}, "source": [ "# Parameterized Post-Einsteinian Waveform Tutorial" ] }, { "cell_type": "markdown", "id": "80cdbadc-ea02-4592-b91e-58a7b7cf2028", "metadata": {}, "source": [ "GWCorrect v0.20.2" ] }, { "cell_type": "markdown", "id": "7a9cae8e-ddfc-4e43-8c5b-fe8e6d895034", "metadata": {}, "source": [ "In this tutorial, we demonstrate the usage of the `GWCorrect.ppE` submodule of this python package. You can download this tutorial [here](https://github.com/RyanSR71/GWCorrect/blob/main/docs/source/notebooks/ppE_Tutorial.ipynb)." ] }, { "cell_type": "markdown", "id": "6de42721-7248-49fc-8f4e-5d9c3f0b90d5", "metadata": {}, "source": [ "The following cell is everything we need to import to run this tutorial. We also import the `GWCorrect` package, which will need to be installed first. See [Installation](https://waveformuncertainty.readthedocs.io/en/latest/installation.html#installation)." ] }, { "cell_type": "code", "execution_count": 2, "id": "bfc4f4be-f968-4bbf-b5cb-16b7bb2b252a", "metadata": {}, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import bilby\n", "import matplotlib.pyplot as plt\n", "import lal\n", "from pesummary.gw.file.strain import StrainData\n", "from pesummary.io import read\n", "import requests\n", "import GWCorrect\n", "import GWCorrect.ppE as ppE" ] }, { "cell_type": "markdown", "id": "ef0bb3e3-7a38-4d2b-a17c-8c10c8085f80", "metadata": { "tags": [] }, "source": [ "## ppE Correction Model" ] }, { "cell_type": "markdown", "id": "29ba9188-4ea9-44c2-a830-998558150eb3", "metadata": {}, "source": [ "We will first demonstrate how to set up the ppE correction model. This process is very simple and only requires one modification to the default bilby waveform generator. `GWCorrect.ppE.waveform_generator.ppECorrectionModel` is a frequency domain source model, and can be placed into the bilby waveform generator as an argument." ] }, { "cell_type": "code", "execution_count": 3, "id": "0695cd17-3f04-4703-b7ec-2980f4299233", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "20:01 bilby INFO : Waveform generator initiated with\n", " frequency_domain_source_model: GWCorrect.ppE.waveform_generator.ppECorrectionModel\n", " time_domain_source_model: None\n", " parameter_conversion: bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters\n" ] } ], "source": [ "waveform_arguments = dict(waveform_approximant='IMRPhenomD', reference_frequency=20, \n", " catch_waveform_errors=True, minimum_frequency=20.0, maximum_frequency=1024.0)\n", "\n", "ppE_waveform_generator = bilby.gw.WaveformGenerator(parameter_conversion=bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters,\n", " waveform_arguments=waveform_arguments,\n", " # we simply place the ppE correction model as the frequency_domain_source_model \n", " frequency_domain_source_model=ppE.waveform_generator.ppECorrectionModel,\n", " sampling_frequency=4096, \n", " duration=4,\n", " )" ] }, { "cell_type": "markdown", "id": "c975a86c-793c-4698-ab35-1b963e787995", "metadata": {}, "source": [ "That is all we had to do to set up the ppE correction model! To use this model, we need to make sure to add the new source parameters that the model calls." ] }, { "cell_type": "markdown", "id": "5e5ecefe-f17a-4712-bea7-128599f25c0d", "metadata": {}, "source": [ "These new parameters are: $\\tilde\\beta$, $\\delta\\tilde\\epsilon$, and $b$. To see what these parameters do, we can plot the frequency domain phase differences with various draws of the parameters. First, we start by defining a default bilby waveform generator to serve as our baseline waveform. We also choose some binary black hole injection parameters." ] }, { "cell_type": "code", "execution_count": 4, "id": "e8630c2c-7d9d-4744-88f2-b8d87ed7437f", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "20:01 bilby INFO : Waveform generator initiated with\n", " frequency_domain_source_model: bilby.gw.source.lal_binary_black_hole\n", " time_domain_source_model: None\n", " parameter_conversion: bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters\n" ] } ], "source": [ "waveform_arguments = dict(waveform_approximant='IMRPhenomD', reference_frequency=20, \n", " catch_waveform_errors=True, minimum_frequency=20.0, maximum_frequency=1024.0)\n", "\n", "GR_waveform_generator = bilby.gw.WaveformGenerator(parameter_conversion=bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters,\n", " waveform_arguments=waveform_arguments,\n", " frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,\n", " sampling_frequency=4096, \n", " duration=4,\n", " )\n", "\n", "# arbitrary binary black hole injection parameters\n", "injection = dict(\n", " chirp_mass=20,\n", " mass_ratio=1,\n", " chi_1=0,\n", " chi_2=0,\n", " luminosity_distance=1000,\n", " geocent_time=1126259642.5,\n", " phase=1.577,\n", " theta_jn=0.48736165\n", ")" ] }, { "cell_type": "markdown", "id": "9176badd-87c4-483f-9f3a-fe594a8e3e56", "metadata": {}, "source": [ "Now we can use `GWCorrect.wfu.parameterization.fd_model_difference` to help us find the phase differences created by the new parameters. First, we start with $\\tilde\\beta$. We fix $\\delta\\tilde\\epsilon=0$ and $b=-1$." ] }, { "cell_type": "code", "execution_count": 5, "id": "661dba95-b809-4709-8f1d-eaf9f8e1efbd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# adding the ppE parameters\n", "injection['delta_epsilon_tilde'] = 0\n", "injection['b'] = -1\n", "\n", "for beta_tilde in [-10,-5,0,5,10]:\n", " \n", " injection['beta_tilde'] = beta_tilde\n", " \n", " frequency_grid, _, phase_difference = GWCorrect.wfu.parameterization.fd_model_difference(ppE_waveform_generator,GR_waveform_generator,\n", " injection=injection)\n", " \n", " plt.semilogx(frequency_grid,phase_difference,label=r'$\\tilde\\beta=val$'.replace('val',str(beta_tilde)))\n", " \n", " \n", "plt.xlim(20,1024)\n", "plt.grid(False)\n", "plt.xlabel(r'$f\\ [\\mathrm{Hz}]$')\n", "plt.ylabel(r'$\\Delta\\phi$')\n", "plt.legend(frameon=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "388154ae-de98-4344-b860-89724109bb1c", "metadata": {}, "source": [ "We see that $\\tilde\\beta$ controls the magnitude of the ppE correction, where higher values create larger deviations from GR ($\\tilde\\beta=0$) in the early inspiral." ] }, { "cell_type": "markdown", "id": "e291617b-dbca-404c-b1d7-150e62f3800c", "metadata": {}, "source": [ "We can do this same analysis with $\\delta\\tilde\\epsilon$, but this time, fixing $\\tilde\\beta=0$." ] }, { "cell_type": "code", "execution_count": 6, "id": "a6832754-3edc-46d1-b2b6-1ae34a02d31a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "injection['beta_tilde'] = 0\n", "\n", "for delta_epsilon_tilde in [-10,-5,0,5,10]:\n", " \n", " injection['delta_epsilon_tilde'] = delta_epsilon_tilde\n", " \n", " frequency_grid, _, phase_difference = GWCorrect.wfu.parameterization.fd_model_difference(ppE_waveform_generator,GR_waveform_generator,\n", " injection=injection)\n", " \n", " plt.semilogx(frequency_grid,phase_difference,label=r'$\\delta\\tilde\\epsilon=val$'.replace('val',str(delta_epsilon_tilde)))\n", " \n", " \n", "plt.xlim(20,1024)\n", "plt.grid(False)\n", "plt.xlabel(r'$f\\ [\\mathrm{Hz}]$')\n", "plt.ylabel(r'$\\Delta\\phi$')\n", "plt.legend(frameon=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8f259abe-5f9c-4c24-aef6-96b50e696c0d", "metadata": {}, "source": [ "$\\delta\\tilde\\epsilon$ together with $\\tilde\\beta$ define another parameter, $\\epsilon$, which controls the merger time of the gravitational wave. This introduces a shift in the time domain that we see as these curves in the frequency domain." ] }, { "cell_type": "markdown", "id": "22f2e998-decc-4b43-b417-624cc87bb0b5", "metadata": {}, "source": [ "Finally, we look at how $b$ affects the phase. $b$ has no effect on the waveform if $\\tilde\\beta$ and $\\delta\\tilde\\epsilon$ are 0, so we choose to set $\\tilde\\beta=1$ and $\\delta\\tilde\\epsilon=0$." ] }, { "cell_type": "markdown", "id": "a4ab74fe-1f66-4e5e-bae0-2a24cdb7537b", "metadata": {}, "source": [ "Note: $b=0$ and $b=3$ are invalid values for $b$. Both of these cause overall shifts in either time or phase, which are undetectable in parameter estimation." ] }, { "cell_type": "code", "execution_count": 7, "id": "7010bfc0-75d6-4f20-872b-6083d7524ecd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "injection['beta_tilde'] = 1\n", "injection['delta_epsilon_tilde'] = 0\n", "\n", "for b in [-5,-3,-1,1,2]:\n", " \n", " injection['b'] = b\n", " \n", " frequency_grid, _, phase_difference = GWCorrect.wfu.parameterization.fd_model_difference(ppE_waveform_generator,GR_waveform_generator,\n", " injection=injection)\n", " \n", " plt.semilogx(frequency_grid,phase_difference,label=r'$b=val$'.replace('val',str(b)))\n", " \n", "plt.xlim(20,1024)\n", "plt.grid(False)\n", "plt.xlabel(r'$f\\ [\\mathrm{Hz}]$')\n", "plt.ylabel(r'$\\Delta\\phi$')\n", "plt.legend(frameon=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d2b41450-c86c-4548-afae-cea91f361ef3", "metadata": {}, "source": [ "$b$ controls the post-Newtonian (PN) order of the ppE correction. The PN order can be found with $(b+5)/2$." ] }, { "cell_type": "markdown", "id": "8e8c1029-e89e-4a13-9a1e-8059e10aa4f0", "metadata": {}, "source": [ "## Match" ] }, { "cell_type": "markdown", "id": "092b83ef-25cf-49e7-bd22-3c16ef6aac3f", "metadata": {}, "source": [ "In this section, we look at the match functions in the `GWCorrect.ppE.prior` submodule, which are `match` and `match_plot`." ] }, { "cell_type": "markdown", "id": "9fb9e661-9d14-4e38-b8e4-4e13dbc96157", "metadata": {}, "source": [ "We can compute the normalized match between two waveforms. To demonstrate this, we look to calculate the match between a GR waveform and a ppE waveform with $\\tilde\\beta=1$, $\\delta\\tilde\\epsilon=0$ and $b=-1$. We start by generating the two waveforms:" ] }, { "cell_type": "code", "execution_count": 8, "id": "1a67f718-e980-4571-b5d7-c442cbfa145e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Match: 82.37856350278521%\n" ] } ], "source": [ "waveform_arguments = dict(waveform_approximant='IMRPhenomD', reference_frequency=20, \n", " catch_waveform_errors=True, minimum_frequency=20.0, maximum_frequency=1024.0)\n", "\n", "ppE_waveform_generator = bilby.gw.WaveformGenerator(parameter_conversion=bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters,\n", " waveform_arguments=waveform_arguments,\n", " # we simply place the ppE correction model as the frequency_domain_source_model \n", " frequency_domain_source_model=ppE.waveform_generator.ppECorrectionModel,\n", " sampling_frequency=4096, \n", " duration=4,\n", " )\n", "\n", "GR_waveform_generator = bilby.gw.WaveformGenerator(parameter_conversion=bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters,\n", " waveform_arguments=waveform_arguments,\n", " frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,\n", " sampling_frequency=4096, \n", " duration=4,\n", " )\n", "\n", "injection = dict(\n", " chirp_mass=20,\n", " mass_ratio=1,\n", " chi_1=0,\n", " chi_2=0,\n", " luminosity_distance=1000,\n", " geocent_time=1126259642.5,\n", " phase=1.577,\n", " theta_jn=0.48736165\n", ")\n", "\n", "injection['beta_tilde'] = 1\n", "injection['delta_epsilon_tilde'] = 0\n", "injection['b'] = -1\n", "\n", "match = ppE.prior.match(ppE_waveform_generator,GR_waveform_generator,injection)\n", "print(f'Match: {100*match}%')" ] }, { "cell_type": "markdown", "id": "9253a9a2-fffe-4a7b-8d0e-6b9c06ca3d25", "metadata": {}, "source": [ "To see how the match changes with $\\tilde\\beta$ and $\\delta\\tilde\\epsilon$, we can use `GWCorrect.ppE.prior.match_plot` to generate a contour plot:" ] }, { "cell_type": "code", "execution_count": 9, "id": "94f7048d-8709-4a8b-b092-16498a64fcbe", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Generating Contour Plot: 100%|██████████| 225/225 [00:30<00:00, 7.30it/s]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# choose a binary black hole injection\n", "injection = dict(\n", " chirp_mass=20,\n", " mass_ratio=1,\n", " chi_1=0,\n", " chi_2=0,\n", " luminosity_distance=1000,\n", " geocent_time=1126259642.5,\n", " phase=1.577,\n", " theta_jn=0.48736165\n", ")\n", "\n", "# include a b value\n", "injection['b'] = -1\n", "\n", "# choose beta_tilde and delta_epsilon values to sample and put them in arrays\n", "beta_tildes = np.linspace(-2,2,15)\n", "delta_epsilon_tildes = np.linspace(-2,2,15)\n", "\n", "# creating a directory for the tutorial files\n", "try:\n", " os.mkdir('tutorial_files')\n", "except:\n", " pass\n", "\n", "# creating a contour plot and saving it to the tutorial files directory\n", "ppE.prior.match_plot(ppE_waveform_generator,GR_waveform_generator,injection,beta_tildes,delta_epsilon_tildes)" ] }, { "cell_type": "markdown", "id": "6c03ea4f-d38c-4915-a418-86d864dc8d13", "metadata": {}, "source": [ "## Sampling and Posterior Analysis" ] }, { "cell_type": "markdown", "id": "67b26d37-30a5-4d7f-b9b7-a9c0d75322a8", "metadata": {}, "source": [ "To perform parameter estimation with the ppE waveform model, we simply need to make changes to a standard binary black hole prior." ] }, { "cell_type": "markdown", "id": "235f8184-0c3b-4aa5-aa80-9e30ab415d2d", "metadata": {}, "source": [ "First, we need to set up the total mass constraint. For the ppE model to work properly, we must enforce the condition $M<[Mf_\\mathrm{IM}]c^3/Gf_\\mathrm{low}$, where $[Mf_\\mathrm{IM}]=0.018$ by default. To add this constraint to a bilby prior, we first add `GWCorrect.ppE.prior.total_mass_conversion` as a conversion function in the bilby `PriorDict` function. Then, we add the total mass prior as `GWCorrect.ppE.prior.TotalMassConstraintPPE`. We include `minimum_frequency` as an argument, using the same minimum frequency that we put into the waveform generator." ] }, { "cell_type": "markdown", "id": "6838846f-5276-4e3e-9675-5bdd262c781b", "metadata": {}, "source": [ "Finally, we need to add priors for the ppE parameters: $\\tilde\\beta$, $\\delta\\tilde\\epsilon$, and $b$. A standard ppE prior is shown below:" ] }, { "cell_type": "code", "execution_count": 10, "id": "7a3af9bd-e73a-435c-b6e6-9282233f4498", "metadata": {}, "outputs": [], "source": [ "prior = bilby.core.prior.PriorDict(conversion_function = ppE.prior.total_mass_conversion)\n", "\n", "prior['total_mass'] = ppE.prior.TotalMassConstraintPPE(name='total_mass',latex_label=r'$M$',minimum_frequency=20,unit=r'$\\mathrm{M}_{\\odot}$')\n", "prior['chirp_mass'] = bilby.gw.prior.UniformInComponentsChirpMass(name='chirp_mass',latex_label=r'$\\mathcal{M}_c$',minimum=5,maximum=50,unit=r'$\\mathrm{M}_{\\odot}$')\n", "prior['mass_ratio'] = bilby.gw.prior.UniformInComponentsMassRatio(name='mass_rato',latex_label=r'$q$',minimum=0.125,maximum=1)\n", "prior['chi_1'] = bilby.core.prior.Uniform(name='chi_1',latex_label=r'$\\chi_1$',minimum=-1,maximum=1)\n", "prior['chi_2'] = bilby.core.prior.Uniform(name='chi_2',latex_label=r'$\\chi_2$',minimum=-1,maximum=1)\n", "prior['luminosity_distance'] = bilby.gw.prior.UniformSourceFrame(name='luminosity_distance',latex_label=r'$D_L$',minimum=50,maximum=1000,unit='Mpc')\n", "prior['geocent_time'] = bilby.core.prior.Uniform(name='geocent_time',latex_label=r'$t_{c}$',minimum=1126259642.4,maximum=1126259642.6,unit='s')\n", "prior['phase'] = bilby.core.prior.Uniform(name='phase',latex_label=r'$\\phi_\\mathrm{ref}$',minimum=0,maximum=6.2831853071795865,boundary='periodic')\n", "prior['theta_jn'] = bilby.core.prior.Sine(name='theta_jn',latex_label=r'$\\theta_{JN}$')\n", "\n", "prior['beta_tilde'] = bilby.core.prior.Uniform(name='beta_tilde',latex_label=r'$\\tilde{\\beta}$',minimum=-2,maximum=2)\n", "prior['delta_epsilon_tilde'] = bilby.core.prior.Uniform(name='delta_epsilon_tilde',latex_label=r'$\\delta\\tilde{\\epsilon}$',minimum=-2,maximum=2)\n", "prior['b'] = bilby.core.prior.Uniform(name='b',latex_label=r'$b$',minimum=-5,maximum=4)" ] }, { "cell_type": "markdown", "id": "badcb1aa-51fa-48f8-a23d-f8807abff050", "metadata": {}, "source": [ "Parameter estimation can then be performed normally. See [bilby's documentation](https://bilby-dev.github.io/bilby/visualising_the_results.html) for details." ] }, { "cell_type": "markdown", "id": "571469ec-cd1f-48ca-8c4e-178cbefa537f", "metadata": {}, "source": [ "The resulting posterior file will contain the posteriors for $\\tilde\\beta$, $\\delta\\tilde\\epsilon$, and $b$. We can load in an example result file to examine it:" ] }, { "cell_type": "code", "execution_count": 11, "id": "14d41e1d-d808-4372-a601-696e47eddf25", "metadata": {}, "outputs": [], "source": [ "# downloading the file and saving to tutorial files folder\n", "try:\n", " os.mkdir('tutorial_files')\n", "except:\n", " pass\n", "file = requests.get('https://github.com/RyanSR71/GWCorrect/raw/refs/heads/main/files/ppE_sample_result_v0.18.2.1_result.json', allow_redirects=True)\n", "open(\"tutorial_files/ppE_sample_result_v0.18.2.1_result.json\", 'wb').write(file.content)\n", "\n", "# loading the file\n", "result = bilby.read_in_result(\"tutorial_files/ppE_sample_result_v0.18.2.1_result.json\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "e5948085-4a36-46ac-b611-a5cd6d5846c6", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "injection = dict(\n", " chirp_mass = 34.8,\n", " beta_tilde = 0.50,\n", " delta_epsilon_tilde = -0.25,\n", " b = -1\n", ")\n", "\n", "result.plot_corner(save=False,truth=injection)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": " igwn-py", "language": "python", "name": "igwn-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }