{ "cells": [ { "cell_type": "markdown", "id": "bdb48610", "metadata": {}, "source": [ "# EMRI Waveforms in Time and Frequency Domain\n", "\n", "In this tutorial, we demonstrate how to use the Fast EMRI Waveform package to produce waveforms in the time domain (TD) as described in [arXiv 2104.04582](https://arxiv.org/abs/2104.04582) and in the frequency domain (FD) as described in [arXiv 2307.12585](https://arxiv.org/abs/2307.12585). We explore the representation of EMRI waveforms in both domains using a reference source. We compare the TD and FD waveforms using mismatch and estimate the waveform generation speed. Additionally, we explore the impact of spin and eccentricity on the waveform signal-to-noise ratio. Finally, we demonstrate mass invariance and downsampling using the Frequency Domain.\n", "\n", "Created by Lorenzo Speri" ] }, { "cell_type": "code", "execution_count": 2, "id": "348daf55", "metadata": {}, "outputs": [], "source": [ "import time\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from few.waveform import GenerateEMRIWaveform\n", "from few.utils.constants import MTSUN_SI\n", "from few.utils.utility import get_p_at_t\n", "from few.utils.geodesic import get_fundamental_frequencies\n", "from few.utils.fdutils import GetFDWaveformFromFD, GetFDWaveformFromTD\n", "from few.trajectory.inspiral import EMRIInspiral\n", "from few.trajectory.ode.flux import KerrEccEqFlux\n", "\n", "from scipy.interpolate import CubicSpline\n", "from few import get_file_manager\n", "\n", "# produce sensitivity function\n", "traj_module = EMRIInspiral(func=KerrEccEqFlux)\n", "\n", "# import ASD\n", "data = np.loadtxt(get_file_manager().get_file(\"LPA.txt\"), skiprows=1)\n", "data[:, 1] = data[:, 1] ** 2\n", "# define PSD function\n", "get_sensitivity = CubicSpline(*data.T)\n", "\n", "\n", "# define inner product [eq 3 of https://www.nature.com/articles/s41550-022-01849-y]\n", "def inner_product(x, y, psd):\n", " return 4 * np.real(np.sum(np.conj(x) * y / psd))\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "15c08219-56eb-430d-b19e-e012b5c59cc7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Initialize waveform generators\n", "# frequency domain generator\n", "few_gen = GenerateEMRIWaveform(\n", " \"FastKerrEccentricEquatorialFlux\",\n", " sum_kwargs=dict(pad_output=True, output_type=\"fd\", odd_len=True),\n", " return_list=True,\n", ")\n", "\n", "# time domain generator\n", "td_gen = GenerateEMRIWaveform(\n", " \"FastKerrEccentricEquatorialFlux\",\n", " sum_kwargs=dict(pad_output=True, odd_len=True),\n", " return_list=True,\n", ")\n", "\n", "# Trick to share waveform generator between both few_gen and td_gen (and reduce\n", "# memory consumption)\n", "td_gen.waveform_generator.amplitude_generator = few_gen.waveform_generator.amplitude_generator\n", "\n", "import gc\n", "gc.collect()" ] }, { "cell_type": "code", "execution_count": 4, "id": "a2779c4c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New p0: 8.550184244535393\n" ] } ], "source": [ "# define the injection parameters\n", "m1 = 0.5e6 # central object mass (solar masses)\n", "a = 0.9 # dimensionless spin parameter for the primary - will be ignored in Schwarzschild waveform\n", "m2 = 10.0 # secondary object mass (solar masses)\n", "p0 = 12.0 # initial dimensionless semi-latus rectum \n", "e0 = 0.1 # eccentricity\n", "\n", "x0 = 1.0 # initial cos(inclination) - will be ignored in Schwarzschild waveform\n", "qK = np.pi / 3 # polar spin angle\n", "phiK = np.pi / 3 # azimuthal viewing angle\n", "qS = np.pi / 3 # polar sky angle\n", "phiS = np.pi / 3 # azimuthal viewing angle\n", "dist = 1.0 # luminosity distance (Gpc)\n", "\n", "# initial phases\n", "Phi_phi0 = np.pi / 3\n", "Phi_theta0 = 0.0\n", "Phi_r0 = np.pi / 3\n", "\n", "Tobs = 0.5 # observation time (years), if the inspiral is shorter, the it will be zero padded\n", "dt = 5.0 # time interval (seconds)\n", "mode_selection_threshold = 1e-4 # relative threshold for mode inclusion: only modes making a relative contribution to\n", " # the total power above this threshold will be included in the waveform.\n", "\n", "waveform_kwargs = {\n", " \"T\": Tobs,\n", " \"dt\": dt,\n", " \"mode_selection_threshold\": mode_selection_threshold,\n", "}\n", "\n", "# get the initial p0 required for an inspiral of length Tobs, given the fixed values of the other parameters\n", "p0 = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.999,\n", " [m1, m2, a, e0, 1.0], # list of trajectory arguments, with p removed\n", " index_of_p=3, # index where to insert the new p values in the above traj_args list when traj_module is called \n", " index_of_a=2, # index of a in the list of trajectory arguments when calling traj_module\n", " index_of_e=4, # etc...\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-12, # absolute tolerance for the brentq root finder\n", " rtol=8.881784197001252e-16, # relative tolerance for the brentq root finder\n", " bounds=None,\n", ")\n", "print(\"New p0: \", p0)\n", "\n", "emri_injection_params = [\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " x0,\n", " dist,\n", " qS,\n", " phiS,\n", " qK,\n", " phiK,\n", " Phi_phi0,\n", " Phi_theta0,\n", " Phi_r0,\n", "]" ] }, { "cell_type": "markdown", "id": "54f0a0e4", "metadata": {}, "source": [ "## Comparing Time and Frequency domain waveforms" ] }, { "cell_type": "code", "execution_count": 5, "id": "1274f17f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the TD signal: 6.446015357971191 seconds\n" ] } ], "source": [ "# generate the TD signal, and time how long it takes\n", "start = time.time()\n", "data_channels_td = td_gen(*emri_injection_params, **waveform_kwargs) # Returns 2 arrays containing the plus and cross polarizations\n", "end = time.time()\n", "print(\"Time taken to generate the TD signal: \", end - start, \"seconds\")\n", "\n", "# take the FFT of the plus polarization and shift it\n", "fft_TD = np.fft.fftshift(np.fft.fft(data_channels_td[0])) * dt\n", "freq = np.fft.fftshift(np.fft.fftfreq(len(data_channels_td[0]), dt))\n", "\n", "# define the positive frequencies\n", "positive_frequency_mask = freq >= 0.0" ] }, { "cell_type": "code", "execution_count": 6, "id": "d85e84b8", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.loglog(freq[positive_frequency_mask], np.abs(fft_TD[positive_frequency_mask]) ** 2)\n", "plt.loglog(\n", " freq[positive_frequency_mask], get_sensitivity(freq[positive_frequency_mask])\n", ")\n", "plt.ylabel(r\"$| {\\rm DFT} [h_{+}]|^2$\")\n", "plt.xlabel(r\"$f$ [Hz]\")\n", "plt.xlim(1e-4, 1e-1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "a9025a56", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the FD signal: 1.889267921447754 seconds\n", "mismatch 0.0003769766918217954\n", "TD SNR 59.741832155263346\n", "FD SNR 59.74122812570039\n" ] } ], "source": [ "# you can specify the frequencies or obtain them directly from the waveform\n", "fd_kwargs = waveform_kwargs.copy()\n", "fd_kwargs[\"f_arr\"] = freq # frequencies at which to output the waveform (optional)\n", "fd_kwargs[\"mask_positive\"] = True # only output FD waveform at positive frequencies\n", "\n", "# generate the FD signal directly, and time how long it takes\n", "start = time.time()\n", "hf = few_gen(*emri_injection_params, **fd_kwargs)\n", "end = time.time()\n", "print(\"Time taken to generate the FD signal: \", end - start, \"seconds\")\n", "\n", "# to get the frequencies:\n", "freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", "\n", "# calculate the mismatch between the FFT'd TD waveform and the direct FD waveform:\n", "psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "td_td = inner_product(\n", " fft_TD[positive_frequency_mask], fft_TD[positive_frequency_mask], psd\n", ")\n", "fd_fd = inner_product(hf[0], hf[0], psd)\n", "Mism = np.abs(\n", " 1\n", " - inner_product(fft_TD[positive_frequency_mask], hf[0], psd)\n", " / np.sqrt(td_td * fd_fd)\n", ")\n", "print(\"mismatch\", Mism)\n", "\n", "# SNR\n", "print(\"TD SNR\", np.sqrt(td_td))\n", "print(\"FD SNR\", np.sqrt(fd_fd))" ] }, { "cell_type": "code", "execution_count": 8, "id": "b1798432", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FD plot\n", "plt.figure()\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " np.abs(fft_TD[positive_frequency_mask]) ** 2,\n", " label=\"DFT of TD waveform\",\n", ")\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf[0]) ** 2, \"--\", label=\"FD waveform\")\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " get_sensitivity(freq[positive_frequency_mask]),\n", " \"k:\",\n", " label=\"LISA sensitivity\",\n", ")\n", "plt.ylabel(r\"$| \\tilde{h}_{+} (f)|^2$\", fontsize=16)\n", "plt.grid()\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend()\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 1e-1])\n", "plt.show()\n", "# plt.savefig('figures/FD_TD_frequency.pdf', bbox_inches='tight')" ] }, { "cell_type": "markdown", "id": "0cf9f3d7", "metadata": {}, "source": [ "In the following example we transform the FD waveform to the time domain, and compare to the directly generated TD waveform:" ] }, { "cell_type": "code", "execution_count": 9, "id": "46335af4", "metadata": {}, "outputs": [], "source": [ "# regenerate the FD waveform, outputting the negative frequencies too this time\n", "fd_kwargs_temp = waveform_kwargs.copy()\n", "fd_kwargs_temp[\"f_arr\"] = freq\n", "fd_kwargs_temp[\"mask_positive\"] = False # do not mask the positive frequencies\n", "\n", "hf_temp = few_gen(*emri_injection_params, **fd_kwargs_temp)\n", "\n", "# check the consistency with the previous masked waveform\n", "assert np.sum(hf_temp[0][positive_frequency_mask] - hf[0]) == 0.0\n", "\n", "# transform FD waveform to TD\n", "hf_to_ifft = np.append(\n", " hf_temp[0][positive_frequency_mask], hf_temp[0][~positive_frequency_mask]\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "4c3ad8c5", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the waveforms in the time domain\n", "plt.figure()\n", "time_array = np.arange(0, len(data_channels_td[0])) * dt\n", "plt.plot(time_array, data_channels_td[0].real, label=\"TD waveform\")\n", "ifft_fd = np.fft.ifft(hf_to_ifft / dt)\n", "plt.plot(time_array, ifft_fd.real, \"--\", label=\"Inverse DFT (FD waveform)\")\n", "plt.ylabel(r\"$h_{+}(t)$\")\n", "plt.xlabel(r\"$t$ [s]\")\n", "\n", "t0 = time_array[-1] * 0.7\n", "space_t = 10e3\n", "plt.xlim([t0, t0 + space_t / 2])\n", "plt.ylim([-4e-22, 6e-22])\n", "plt.legend(loc=\"upper center\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "258c0f89", "metadata": {}, "source": [ "In the following example we generate a downsampled FD waveform using the \"f_arr\" argument:" ] }, { "cell_type": "code", "execution_count": 11, "id": "e3d46791", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the FD signal: 0.2683577537536621 seconds\n", "freq_fd (1001,) h shape (1577908,)\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# construct downsampled frequency array\n", "df = np.diff(freq)[0]\n", "fmin, fmax = df, freq.max()\n", "fmin, fmax = 1e-3, 5e-2\n", "num_pts = 500\n", "p_freq = np.append(0.0, np.linspace(fmin, fmax, num_pts))\n", "freq_temp = np.hstack((-p_freq[::-1][:-1], p_freq))\n", "\n", "# populate kwarg dictionary\n", "fd_kwargs_ds = waveform_kwargs.copy()\n", "fd_kwargs_ds[\"f_arr\"] = freq_temp\n", "fd_kwargs_ds[\"mask_positive\"] = False\n", "\n", "# get FD waveform with downsampled frequencies\n", "hf_ds = few_gen(*emri_injection_params, **fd_kwargs_ds)\n", "hf = few_gen(*emri_injection_params, **fd_kwargs)\n", "\n", "# time the generation of the FD signal\n", "start = time.time()\n", "hf_ds = few_gen(*emri_injection_params, **fd_kwargs_ds)\n", "end = time.time()\n", "print(\"Time taken to generate the FD signal: \", end - start, \"seconds\")\n", "\n", "# to get the frequencies:\n", "freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", "\n", "# freq_temp = freq_temp[freq_temp>=0.0]\n", "print(\"freq_fd\", freq_fd.shape, \"h shape\", hf[0].shape)\n", "\n", "# FD plot\n", "plt.figure()\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf[0])**2, \"-\", label=\"FD waveform\")\n", "plt.loglog(freq_fd, np.abs(hf_ds[0])**2, \"--\", label=\"FD waveform Downsample\")\n", "plt.plot(freq_temp, get_sensitivity(freq_temp), \"k:\", label=\"LISA sensitivity\")\n", "plt.ylabel(r\"$| \\tilde{h}_{+} (f)|^2$\", fontsize=16)\n", "plt.grid()\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc=\"upper left\")\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 5e-2])\n", "plt.show()\n", "# plt.savefig('figures/FD_TD_frequency.pdf', bbox_inches='tight')" ] }, { "cell_type": "markdown", "id": "08df2d59", "metadata": {}, "source": [ "## FD utilities and windowing\n", "\n", "The generation of FD waveforms using a given choice of waveform generator (either TD or FD) can be simplified using the `GetFDWaveformFromTD` and `GetFDWaveformFromFD` classes from the utilities module. These classes allow one to easily specify a choice of window function to use, as illustrated by the following example:" ] }, { "cell_type": "code", "execution_count": 12, "id": "fc5d4585", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ***** No window ***** \n", "mismatch 0.00037697669182157334\n", "TD SNR 59.741832155263346\n", "FD SNR 59.74122812570041\n", "\n", "\n", " ***** With window ***** \n", "mismatch 0.00014232836326399934\n", "TD SNR 59.536970704688024\n", "FD SNR 59.55122751717226\n" ] } ], "source": [ "from scipy.signal.windows import tukey\n", "\n", "fd_kwargs_nomask = fd_kwargs.copy()\n", "del fd_kwargs_nomask[\"mask_positive\"]\n", "\n", "# no windowing\n", "window = np.ones(len(data_channels_td[0])) \n", "fft_td_gen = GetFDWaveformFromTD(td_gen, positive_frequency_mask, dt, window=window) # generate an FD waveform by FFT'ing a TD waveform\n", "fd_gen = GetFDWaveformFromFD(few_gen, positive_frequency_mask, dt, window=window) # generate an FD waveform directly using an FD generator\n", "\n", "np.all(fd_gen(*emri_injection_params, **fd_kwargs_nomask)[0] == hf[0])\n", "\n", "hf = fd_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "fft_TD = fft_td_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "\n", "# calculate SNRs and mismatch\n", "psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "td_td = inner_product(fft_TD[0], fft_TD[0], psd)\n", "fd_fd = inner_product(hf[0], hf[0], psd)\n", "Mism = np.abs(1 - inner_product(fft_TD[0], hf[0], psd) / np.sqrt(td_td * fd_fd))\n", "\n", "print(\" ***** No window ***** \")\n", "print(\"mismatch\", Mism)\n", "print(\"TD SNR\", np.sqrt(td_td))\n", "print(\"FD SNR\", np.sqrt(fd_fd))\n", "\n", "\n", "# add windowing\n", "window = np.asarray(tukey(len(data_channels_td[0]), 0.01)) \n", "fft_td_gen = GetFDWaveformFromTD(td_gen, positive_frequency_mask, dt, window=window)\n", "fd_gen = GetFDWaveformFromFD(few_gen, positive_frequency_mask, dt, window=window)\n", "\n", "hf_win = fd_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "fft_TD_win = fft_td_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "\n", "# calculate SNRs and mismatch\n", "psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "td_td = inner_product(fft_TD_win[0], fft_TD_win[0], psd)\n", "fd_fd = inner_product(hf_win[0], hf_win[0], psd)\n", "Mism = np.abs(1 - inner_product(fft_TD_win[0], hf_win[0], psd) / np.sqrt(td_td * fd_fd))\n", "\n", "print(\"\\n\\n ***** With window ***** \")\n", "print(\"mismatch\", Mism)\n", "print(\"TD SNR\", np.sqrt(td_td))\n", "print(\"FD SNR\", np.sqrt(fd_fd))" ] }, { "cell_type": "code", "execution_count": 13, "id": "23becf56", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FD plot\n", "plt.figure(figsize=(6, 9))\n", "plt.subplot(2,1,1)\n", "plt.title(\"Unwindowed\", fontsize=16)\n", "plt.loglog(\n", " freq[positive_frequency_mask], np.abs(fft_TD[0]) ** 2, label=\"DFT of TD waveform\"\n", ")\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf[0]) ** 2, \"--\", label=\"FD waveform\")\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " get_sensitivity(freq[positive_frequency_mask]),\n", " \"k:\",\n", " label=\"LISA sensitivity\",\n", ")\n", "plt.ylabel(r\"$| \\tilde{h}_{+}(f)|^2$\", fontsize=16)\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc='upper left')\n", "plt.grid()\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 1e-1])\n", "#plt.show()\n", "# plt.savefig('figures/FD_TD_frequency_windowed.pdf', bbox_inches='tight')\n", "\n", "plt.subplot(2,1,2)\n", "plt.title(\"Windowed\", fontsize=16)\n", "plt.loglog(\n", " freq[positive_frequency_mask], np.abs(fft_TD_win[0]) ** 2, label=\"DFT of TD waveform\"\n", ")\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf_win[0]) ** 2, \"--\", label=\"FD waveform\")\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " get_sensitivity(freq[positive_frequency_mask]),\n", " \"k:\",\n", " label=\"LISA sensitivity\",\n", ")\n", "plt.ylabel(r\"$| \\tilde{h}_{+}(f)|^2$\", fontsize=16)\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc='upper left')\n", "plt.grid()\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 1e-1])\n", "plt.gcf().tight_layout()\n" ] }, { "cell_type": "markdown", "id": "c244ddac", "metadata": {}, "source": [ "# Signal to noise ratio as a function of eccentricity and spin" ] }, { "cell_type": "code", "execution_count": 15, "id": "71486c23", "metadata": {}, "outputs": [], "source": [ "def calculate_snr_mismatch(\n", " mode,\n", " emri_injection_params,\n", " waveform_kwargs,\n", " fd_kwargs,\n", " freq,\n", " positive_frequency_mask,\n", " dt,\n", "):\n", " # Update fd_kwargs and td_kwargs with the current mode\n", " fd_kwargs = fd_kwargs.copy()\n", " fd_kwargs.pop(\"mode_selection_threshold\")\n", " fd_kwargs[\"mode_selection\"] = [mode]\n", " hf_mode = few_gen(*emri_injection_params, **fd_kwargs)\n", "\n", " td_kwargs2 = waveform_kwargs.copy()\n", " td_kwargs2.pop(\"mode_selection_threshold\")\n", " td_kwargs2[\"mode_selection\"] = [mode]\n", " data_channels_td_mode = td_gen(*emri_injection_params, **td_kwargs2)\n", "\n", " # Take the FFT of the plus polarization and shift it\n", " fft_TD_mode = np.fft.fftshift(np.fft.fft(data_channels_td_mode[0])) * dt\n", "\n", " # Calculate PSD\n", " psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "\n", " # Calculate inner products\n", " td_td = inner_product(\n", " fft_TD_mode[positive_frequency_mask], fft_TD_mode[positive_frequency_mask], psd\n", " )\n", " fd_fd = inner_product(hf_mode[0], hf_mode[0], psd)\n", " Mism = np.abs(\n", " 1\n", " - inner_product(fft_TD_mode[positive_frequency_mask], hf_mode[0], psd)\n", " / np.sqrt(td_td * fd_fd)\n", " )\n", "\n", " # calculated frequency\n", " OmegaPhi, OmegaTheta, OmegaR = get_fundamental_frequencies(\n", " emri_injection_params[2],\n", " emri_injection_params[3],\n", " emri_injection_params[4],\n", " emri_injection_params[5],\n", " )\n", " harmonic_frequency = (OmegaPhi * mode[1] + OmegaR * mode[2]) / (\n", " emri_injection_params[0] * MTSUN_SI * 2 * np.pi\n", " )\n", " return np.sqrt(td_td), Mism, harmonic_frequency\n", "\n", "\n", "# Initialize data storage\n", "data_out = []\n", "\n", "# mode vector\n", "eccentricity_vector = [0.1, 0.3, 0.7]\n", "max_n_vector = [10, 18, 26]\n", "spin_vector = [0.0, 0.9]\n", "\n", "for a in spin_vector:\n", " for l_set, m_set in zip([2], [2]):\n", " temp = emri_injection_params.copy()\n", " for e_temp, max_n in zip(eccentricity_vector, max_n_vector):\n", " modes = [(l_set, m_set, ii) for ii in range(-3, max_n)]\n", " p_temp = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [m1, m2, a, e_temp, 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-12,\n", " rtol=8.881784197001252e-16,\n", " bounds=None,\n", " )\n", " temp[3] = p_temp\n", " temp[4] = e_temp\n", " temp[2] = a\n", " out = np.asarray(\n", " [\n", " calculate_snr_mismatch(\n", " mode,\n", " temp,\n", " waveform_kwargs,\n", " fd_kwargs,\n", " freq,\n", " positive_frequency_mask,\n", " dt,\n", " )\n", " for mode in modes\n", " ]\n", " )\n", " snr, Mism, harmonic_frequency = out.T\n", " data_out.append((harmonic_frequency, snr, l_set, m_set, e_temp, a))" ] }, { "cell_type": "code", "execution_count": 16, "id": "d289715c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data\n", "colors = {0.1: \"royalblue\", 0.3: \"seagreen\", 0.5: \"crimson\", 0.7: \"darkviolet\"}\n", "\n", "plt.figure(figsize=(8, 5))\n", "for harmonic_frequency, snr, l_set, m_set, e_temp, a in data_out:\n", " color = colors[e_temp]\n", " if a == 0.9:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \":P\",\n", " label=f\"e = {e_temp}, a = {a}\",\n", " color=color,\n", " )\n", " # plt.text(harmonic_frequency[-1], 20.0 * snr[-1]/np.sum(snr**2)**0.5, f\"({l_set},{m_set})\", fontsize=8)\n", " if a == 0.0:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \"--o\",\n", " label=f\"e = {e_temp}, a = {a}\",\n", " color=color,\n", " )\n", " # for ii in range(len(harmonic_frequency)):\n", " # plt.text(harmonic_frequency[ii], 20.0 * snr[ii]/np.sum(snr**2)**0.5, f\"n={ii-3}\", fontsize=8)\n", "\n", "plt.xlabel(\"Initial Harmonic Frequency [Hz]\")\n", "plt.ylabel(\"20 x SNR / Total SNR\")\n", "plt.title(\n", " f\"SNR per each harmonic (m,n) = ({2},n) for m1={m1:.2e}, m2={m2:.2e} and plunge in {Tobs} years\"\n", ")\n", "plt.xlim(0, 0.012)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "21fbee3c", "metadata": {}, "outputs": [], "source": [ "# Initialize data storage\n", "data_out = []\n", "\n", "# mode vector\n", "a = 0.0\n", "Tobs = 0.1 # observation time, if the inspiral is shorter, the it will be zero padded\n", "eccentricity_vector = [0.1, 0.5]\n", "max_n_vector = [10, 26]\n", "eta_vector = [1e-4, 1e-6] # mass ratio values\n", "\n", "for eta in eta_vector:\n", " for e_temp, max_n in zip(eccentricity_vector, max_n_vector):\n", " temp = emri_injection_params.copy()\n", " m2 = eta * m1\n", " p_temp = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [m1, m2, a, e_temp, 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-6,\n", " rtol=8.881784197001252e-6,\n", " )\n", " temp[3] = p_temp\n", " temp[4] = e_temp\n", " temp[1] = m2\n", " for l_set, m_set in zip([2], [2]):\n", " modes = [(l_set, m_set, ii) for ii in range(-3, max_n)]\n", " out = np.asarray(\n", " [\n", " calculate_snr_mismatch(\n", " mode,\n", " temp,\n", " waveform_kwargs,\n", " fd_kwargs,\n", " freq,\n", " positive_frequency_mask,\n", " dt,\n", " )\n", " for mode in modes\n", " ]\n", " )\n", " snr, Mism, harmonic_frequency = out.T\n", " data_out.append((harmonic_frequency, snr, l_set, m_set, e_temp, eta))" ] }, { "cell_type": "code", "execution_count": 18, "id": "0f0e3429", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data\n", "colors = {0.1: \"royalblue\", 0.3: \"seagreen\", 0.5: \"crimson\", 0.7: \"darkviolet\"}\n", "\n", "plt.figure(figsize=(8, 5))\n", "for harmonic_frequency, snr, l_set, m_set, e_temp, eta_temp in data_out:\n", " color = colors[e_temp]\n", " if eta_temp == 1e-4:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \"-P\",\n", " label=f\"e = {e_temp}, m2/m1={eta_temp:.1e}\",\n", " color=color,\n", " )\n", " if eta_temp == 1e-6:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \":X\",\n", " label=f\"e = {e_temp}, m2/m1={eta_temp:.1e}\",\n", " color=color,\n", " )\n", "\n", "plt.xlabel(\"Initial Harmonic Frequency [Hz]\")\n", "plt.ylabel(\"20 x SNR / Total SNR\")\n", "plt.title(\n", " f\"SNR per each harmonic (m,n) = ({2},n) for m1={m1:.2e} and plunge in {Tobs} years\"\n", ")\n", "plt.xlim(0, 0.03)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c0ef9908", "metadata": {}, "source": [ "## Speed test as a function of the parameter space" ] }, { "cell_type": "code", "execution_count": 19, "id": "ae62804f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [100000.0, 10.0, 0.9, 27.80352723778368, 0.1, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 6.0413548946380615, 'td_time': 1.2838618755340576}\n", "{'input_params': [100000.0, 10.0, 0.9, 27.51402838748775, 0.35, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 10.19678807258606, 'td_time': 1.8822479248046875}\n", "{'input_params': [100000.0, 10.0, 0.9, 26.566565101687495, 0.6, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 20.180485010147095, 'td_time': 3.652083158493042}\n", "{'input_params': [1000000.0, 10.0, 0.9, 8.530368946845986, 0.1, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 2.1328768730163574, 'td_time': 1.7280950546264648}\n", "{'input_params': [1000000.0, 10.0, 0.9, 8.477092794460157, 0.35, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 3.1470630168914795, 'td_time': 2.5998878479003906}\n", "{'input_params': [1000000.0, 10.0, 0.9, 8.270079444955954, 0.6, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 5.76480507850647, 'td_time': 4.290946006774902}\n", "{'input_params': [10000000.0, 10.0, 0.9, 3.1415736316879297, 0.1, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.7956430912017822, 'td_time': 2.4750730991363525}\n", "{'input_params': [10000000.0, 10.0, 0.9, 3.247517449366446, 0.35, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.8679220676422119, 'td_time': 3.3655760288238525}\n", "{'input_params': [10000000.0, 10.0, 0.9, 3.4020410949990105, 0.6, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.9677088260650635, 'td_time': 4.526573181152344}\n", "[{'input_params': [100000.0, 10.0, 0.9, 27.80352723778368, 0.1, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 6.0413548946380615, 'td_time': 1.2838618755340576}, {'input_params': [100000.0, 10.0, 0.9, 27.51402838748775, 0.35, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 10.19678807258606, 'td_time': 1.8822479248046875}, {'input_params': [100000.0, 10.0, 0.9, 26.566565101687495, 0.6, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 20.180485010147095, 'td_time': 3.652083158493042}, {'input_params': [1000000.0, 10.0, 0.9, 8.530368946845986, 0.1, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 2.1328768730163574, 'td_time': 1.7280950546264648}, {'input_params': [1000000.0, 10.0, 0.9, 8.477092794460157, 0.35, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 3.1470630168914795, 'td_time': 2.5998878479003906}, {'input_params': [1000000.0, 10.0, 0.9, 8.270079444955954, 0.6, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 5.76480507850647, 'td_time': 4.290946006774902}, {'input_params': [10000000.0, 10.0, 0.9, 3.1415736316879297, 0.1, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.7956430912017822, 'td_time': 2.4750730991363525}, {'input_params': [10000000.0, 10.0, 0.9, 3.247517449366446, 0.35, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.8679220676422119, 'td_time': 3.3655760288238525}, {'input_params': [10000000.0, 10.0, 0.9, 3.4020410949990105, 0.6, 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.9677088260650635, 'td_time': 4.526573181152344}]\n" ] } ], "source": [ "# create a function that times the FD and TD waveform generation for different input parameters\n", "\n", "\n", "def time_waveform_generation(fd_waveform_func, td_waveform_func, input_params, kwargs):\n", " \"\"\"\n", " Times the FD and TD waveform generation for different input parameters.\n", "\n", " Parameters:\n", " fd_waveform_func (function): Function to generate FD waveform.\n", " td_waveform_func (function): Function to generate TD waveform.\n", " input_params (list): List of dictionaries containing input parameters for the waveform functions.\n", "\n", " Returns:\n", " list: List of dictionaries containing input parameters and their corresponding FD and TD generation times.\n", " \"\"\"\n", " results = []\n", "\n", " for params in input_params:\n", " # Time FD waveform generation\n", " start_time = time.time()\n", " fd_waveform_func(*params, **kwargs)\n", " fd_time = time.time() - start_time\n", "\n", " # Time TD waveform generation\n", " start_time = time.time()\n", " td_waveform_func(*params, **kwargs)\n", " td_time = time.time() - start_time\n", "\n", " # Store the results\n", " result = {\"input_params\": params, \"fd_time\": fd_time, \"td_time\": td_time}\n", " print(result)\n", " results.append(result)\n", "\n", " return results\n", "\n", "\n", "timing_results = []\n", "vec_par = []\n", "Tobs = 2.0\n", "# create a list of input parameters for m1, m2, a, p0, e0, x0\n", "for mass in [1e5, 1e6, 1e7]:\n", " for el in np.linspace(0.1, 0.6, num=3):\n", " temp = emri_injection_params.copy()\n", " temp[0] = mass\n", " temp[4] = el\n", " temp[3] = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [temp[0], temp[1], temp[2], temp[4], 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-6,\n", " rtol=8.881784197001252e-6,\n", " )\n", " vec_par.append(temp.copy())\n", "\n", "waveform_kwargs = {\n", " \"T\": Tobs,\n", " \"dt\": dt,\n", " \"mode_selection_threshold\": 1e-2,\n", "}\n", "timing_results = time_waveform_generation(few_gen, td_gen, vec_par, waveform_kwargs)\n", "\n", "print(timing_results)" ] }, { "cell_type": "code", "execution_count": 20, "id": "8e4fc1d1", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "markers = [\"o\", \"s\", \"D\", \"^\", \"v\", \"<\", \">\", \"p\", \"*\", \"h\", \"H\", \"+\", \"x\", \"d\", \"|\", \"_\"]\n", "masses = sorted(set([el[\"input_params\"][0] for el in timing_results]))\n", "\n", "for lab in [\"fd_time\", \"td_time\"]:\n", " for i, mass in enumerate(masses):\n", " timing = [el[lab] for el in timing_results if el[\"input_params\"][0] == mass]\n", " ecc = [el[\"input_params\"][4] for el in timing_results if el[\"input_params\"][0] == mass]\n", " plt.plot(ecc, timing, markers[i % len(markers)], label=fr\"{lab[:2]}, $m_1$={int(mass/1e5)} $\\times 10^5 \\, M_\\odot$\", alpha=0.5)\n", "plt.xlabel(\"Eccentricity\")\n", "plt.ylabel(\"Time [s]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "862289f6", "metadata": {}, "source": [ "## Mass invariance\n", "If we fix the mass ratio of an EMRI system the frequency domain waveform is invariant under a total mass change as long as we consider dimensionless frequencies. We show this here as a check of our frequency domain implementation." ] }, { "cell_type": "code", "execution_count": 28, "id": "88efb70a", "metadata": {}, "outputs": [], "source": [ "from few.utils.mappings.common import muM_to_m1m2\n", "\n", "list_h = []\n", "list_f = []\n", "T = 4.0\n", "dt = 10.0\n", "# array of total masses\n", "Mvec = 10 ** np.linspace(5.0, 6.5, num=3)\n", "\n", "for M in Mvec:\n", " # fix mass ratio\n", " mu = 5e-5 * M\n", "\n", " m1, m2 = muM_to_m1m2(mu, M)\n", " \n", " # rescale time\n", " Tnew = T * (M / 1e6)\n", "\n", " # generate wave\n", " list_h.append(\n", " few_gen(\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " x0,\n", " dist,\n", " qS,\n", " phiS,\n", " qK,\n", " phiK,\n", " Phi_phi0,\n", " Phi_theta0,\n", " Phi_r0,\n", " T=10.0,\n", " dt=dt,\n", " mode_selection=[(2, 2, 0)],\n", " mask_positive=True,\n", " )\n", " )\n", "\n", " # dimensionless frequency\n", " list_f.append(few_gen.waveform_generator.create_waveform.frequency * M * MTSUN_SI)" ] }, { "cell_type": "code", "execution_count": 34, "id": "36b31e6c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "for ii in range(len(Mvec)):\n", " Tnew = 10.0 * Mvec[ii] / 1e6\n", " tmp_mu = 1e-5 * Mvec[ii]\n", "\n", " ff = list_f[ii]\n", " ff = ff[ff >= 0.0]\n", " h2 = np.abs(list_h[ii][0] / (tmp_mu * Tnew)) ** 2\n", " plt.loglog(ff, h2, \"--\", label=f\"mu = {tmp_mu:.2}, T = {Tnew:.2}\", alpha=0.5)\n", "\n", "plt.xlim([1e-4, 1e-1])\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "755bde74", "metadata": {}, "source": [ "## Downsampled FD Waveforms\n", "One of the main advantages of the frequency domain formulation is that we can downsample the frequencies to reduce the computational cost of the waveform. This is illustrated in the following cells where we perform different levels of downsampling." ] }, { "cell_type": "code", "execution_count": 23, "id": "556743b8", "metadata": {}, "outputs": [], "source": [ "m1, m2, p0, e0 = (\n", " 3670041.7362535275,\n", " 292.0583167470244,\n", " 13.709101864726545,\n", " 0.5794130830706371,\n", ") # 1e6, 10.0, 13.709101864726545, 0.5794130830706371 #\n", "\n", "x0 = 1.0 # will be ignored in Schwarzschild waveform\n", "qK = np.pi / 3 # polar spin angle\n", "phiK = np.pi / 3 # azimuthal viewing angle\n", "qS = np.pi / 3 # polar sky angle\n", "phiS = np.pi / 3 # azimuthal viewing angle\n", "dist = 1.0 # distance\n", "# initial phases\n", "Phi_phi0 = np.pi / 3\n", "Phi_theta0 = 0.0\n", "Phi_r0 = np.pi / 3\n", "\n", "Tobs = 4.0 # observation time, if the inspiral is shorter, the it will be zero padded\n", "dt = 10.0 # time interval\n", "eps = 1e-2 # mode content percentage\n", "mode_selection = [(2, 2, 0)]\n", "\n", "waveform_kwargs = {\n", " \"T\": Tobs,\n", " \"dt\": dt,\n", " # you can uncomment the following ling if you want to show a mode\n", " # \"mode_selection\" : mode_selection,\n", " # \"include_minus_m\": True\n", " \"mode_selection_threshold\": eps,\n", "}\n", "\n", "# get the initial p0\n", "p0 = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [m1, m2, 0.0, e0, 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-12,\n", " rtol=8.881784197001252e-16,\n", " bounds=None,\n", ")\n", "\n", "\n", "emri_injection_params = [\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " x0,\n", " dist,\n", " qS,\n", " phiS,\n", " qK,\n", " phiK,\n", " Phi_phi0,\n", " Phi_theta0,\n", " Phi_r0,\n", "]" ] }, { "cell_type": "code", "execution_count": 24, "id": "f4da894d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "max frequency 0.002815484841832867\n", "max frequency 0.002815484841832867\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FD plot\n", "plt.figure()\n", "\n", "alpha = [1.0, 0.9, 0.8, 0.2]\n", "linest = [\"-\", \"--\", \"-.\", \":\"]\n", "\n", "for upp, aa, ls in zip([1, 100, 10000], alpha, linest):\n", " # you can specify the frequencies or obtain them directly from the waveform\n", " fd_kwargs = waveform_kwargs.copy()\n", " fd_kwargs[\"mask_positive\"] = True\n", " # get FD waveform\n", " hf = few_gen(*emri_injection_params, **fd_kwargs)\n", " freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", " positive_frequency_mask = freq_fd >= 0.0\n", " mask_non_zero = hf[0] != complex(0.0)\n", " end_f = few_gen.waveform_generator.create_waveform.frequency[\n", " positive_frequency_mask\n", " ][mask_non_zero].max()\n", "\n", " if upp != 1:\n", " num = int(len(freq_fd[positive_frequency_mask][mask_non_zero]) / upp)\n", " p_freq = np.linspace(0.0, end_f * 1.01, num=num)\n", " print(\"max frequency\", end_f)\n", " newfreq = np.hstack((-p_freq[::-1][:-1], p_freq))\n", "\n", " # you can specify the frequencies or obtain them directly from the waveform\n", " fd_kwargs = waveform_kwargs.copy()\n", " fd_kwargs[\"f_arr\"] = newfreq\n", " fd_kwargs[\"mask_positive\"] = True\n", "\n", " # get FD waveform\n", " hf = few_gen(*emri_injection_params, **fd_kwargs)\n", " # to get the frequencies:\n", " freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", " positive_frequency_mask = freq_fd >= 0.0\n", "\n", " Nf = len(freq_fd[positive_frequency_mask])\n", " plt.loglog(\n", " freq_fd[positive_frequency_mask],\n", " freq_fd[positive_frequency_mask] ** 2 * np.abs(hf[0]) ** 2,\n", " ls,\n", " label=f\"$N_f = $ {Nf}\",\n", " alpha=aa,\n", " )\n", "\n", "\n", "ff = 10 ** np.linspace(-5, -1, num=100)\n", "plt.loglog(ff, ff * get_sensitivity(ff), \"k:\", label=\"LISA sensitivity\")\n", "\n", "plt.ylabel(r\"$|f\\, \\tilde{h}_{+}(f)|^2$\", fontsize=16)\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc=\"lower left\")\n", "plt.xlim(1e-4, 3e-3)\n", "plt.grid()\n", "plt.ylim([1e-49, 1e-34])\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# plt.savefig('figures/spectrum_downsampled.pdf')" ] } ], "metadata": { "kernelspec": { "display_name": "few2.0rc1", "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }