{ "cells": [ { "cell_type": "markdown", "id": "f7aa19bc", "metadata": {}, "source": [ "# Fast post-adiabatic waveforms in FEW\n", "\n", "In this tutorial we outline the basic features of the FEW implementation of 1PAT1R, a post-adiabatic self-force waveform model describing the quasicircular inspiral of a spinning secondary object (black hole or neutron star) into a slowly spinning Kerr black hole. Both spins are assumed to be aligned with the orbital angular momentum.\n", "\n", "
\n", "We adopt the following notational conventions:\n", "\n", "- The initial masses of the objects are denoted $m_1$ and $m_2$, with $m_1 > m_2$.\n", "\n", "- The initial total mass is $M := m_1 + m_2$, and the symmetric mass ratio is $\\nu := \\frac{m_1m_2}{(m_1+m_2)^2}$.\n", "\n", "- The initial dimensionless spin parameters of the two components are denoted $\\chi_1$ and $\\chi_2$.\n", "\n", "- The orbital radius is parameterised by $p(t) := [M\\Omega_{\\rm phys}(t)]^{-2/3}$, where $\\Omega_{\\rm phys}(t)$ is the physical orbital frequency.\n", "\n", "\n", "
\n", "
\n", "\n", "The model is subject to the following parameter restrictions:\n", "\n", "
\n", "\n", "| | $m_2$ | $\\chi_1$ | $\\chi_2$ | $p$ |\n", "|--------------|------------|----------------------|---------------------------|------------------------------------------------------|\n", "| Allowed | $(0, m_1]$ | $[-1, 1]$ | $[-1, 1]$ | ${\\rm max}(p_{\\rm ISCO}+0.01, 6.26) \\leq p \\leq 30$ |\n", "| Recommended | --- | $\\|\\chi_1\\| < 25\\nu$ | $\\|\\chi_2\\| \\ll \\nu^{-1}$ | $6 + 1.5\\nu^{1/4} < p < 0.02\\nu^{-2}$ |\n", "\n", "where $p_{\\rm ISCO}$ is the radius of the innermost stable circular orbit (divided by $m_1$) for a Kerr black hole of mass $m_1$ and dimensionless spin $\\chi_1$. \n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "290e2115", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "171aefb4", "metadata": {}, "source": [ "## 1. Waveform generation" ] }, { "cell_type": "markdown", "id": "58ff8c1c", "metadata": {}, "source": [ "### 1.1. Generic waveform interface" ] }, { "cell_type": "markdown", "id": "f2d42379", "metadata": {}, "source": [ "1PAT1R waveforms can be generated using the generic `GenerateEMRIWaveform` waveform generator. For detector frame waveforms, a generator can be instantiated as follows:" ] }, { "cell_type": "code", "execution_count": 2, "id": "44aeb634", "metadata": {}, "outputs": [], "source": [ "from few.waveform import GenerateEMRIWaveform\n", "\n", "inspiral_kwargs = {}\n", "amplitude_kwargs = {}\n", "\n", "waveform_generator = GenerateEMRIWaveform(\n", " \"Circ1PAT1R\",\n", " #sum_kwargs = dict(pad_output=True), \n", " inspiral_kwargs = inspiral_kwargs,\n", " amplitude_kwargs = amplitude_kwargs,\n", " frame = \"detector\"\n", " )" ] }, { "cell_type": "markdown", "id": "51fb7c73", "metadata": {}, "source": [ "We now consider the system with the following parameters:" ] }, { "cell_type": "code", "execution_count": 3, "id": "d45e910f", "metadata": {}, "outputs": [], "source": [ "# Define parameters\n", "m1 = 1e6 # primary mass [solar masses]\n", "m2 = 10 # secondary mass [solar masses]\n", "chi1 = 1e-5 # primary spin chi1 (dimensionless)\n", "p0 = 9.0 # initial orbital separation [M]\n", "chi2 = 0.1 # secondary spin\n", "\n", "dL = 1.0 # luminosity distance [Gpc]\n", "e0 = 0.0 # eccentricity\n", "xI0 = 1.0 # cos(inclination)\n", "\n", "qK = np.pi/3 # initial BH spin polar angle in ecliptic coords [rad]\n", "phiK = np.pi/4 # initial BH spin azimuthal angle in ecliptic coords [rad]\n", "qS = np.pi/5 # sky location polar angle in ecliptic coords [rad]\n", "phiS = np.pi/3 # sky location azimuthal angle in ecliptic coords [rad]\n", "\n", "Phi_phi0 = np.pi/4 # initial azimuthal phase [rad]\n", "Phi_theta0 = np.pi/4 # initial polar phase [rad] (redundant for this model)\n", "Phi_r0 = np.pi/4 # initial radial phase [rad] (redundant for this model)\n", "\n", "dt = 5. # time step for the returned waveform [s]\n", "T = 1 # total duration [yr]\n", "\n", "params = [m1, m2, chi1, p0, e0, xI0, dL, qS, phiS, qK, phiK, Phi_phi0, Phi_theta0, Phi_r0, chi2]" ] }, { "cell_type": "markdown", "id": "7b9516ac", "metadata": {}, "source": [ "The waveform can be generated as follows." ] }, { "cell_type": "code", "execution_count": 4, "id": "24b0e7a1", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = waveform_generator(*params, T=T, dt=dt)\n", "time_array = np.arange(0, len(h)) * dt\n", "\n", "plt.gcf().set_size_inches(14, 6)\n", "plt.plot(time_array[:1000], h.real[:1000], label=r\"$h_+$\")\n", "plt.plot(time_array[:1000], -h.imag[:1000], label=r\"$h_{\\times}$\")\n", "plt.xlim(0, 5000)\n", "plt.ylim(-3e-22, 3e-22)\n", "plt.xlabel(r\"$t \\quad [s]$\")\n", "plt.legend()\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "5b0d9e00", "metadata": {}, "source": [ "### 1.2. Waveform class" ] }, { "cell_type": "markdown", "id": "712f9134", "metadata": {}, "source": [ "One can directly instantiate a 1PAT1R waveform generator object:" ] }, { "cell_type": "code", "execution_count": 5, "id": "b9fb912f", "metadata": {}, "outputs": [], "source": [ "from few.waveform import Circ1PAT1R\n", "\n", "WF1PAT1R = Circ1PAT1R()" ] }, { "cell_type": "markdown", "id": "2f5f3c74", "metadata": {}, "source": [ "To generate a source-frame waveform with given parameters, simply call" ] }, { "cell_type": "code", "execution_count": 6, "id": "915c4073", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "theta = phi = np.pi/4 # polar and azimuthal viewing angles [rad]\n", "h_src = WF1PAT1R(m1, m2, chi1, p0, theta, phi, chi2, dt=dt, T=T)\n", "time_array = dt*np.arange(0, len(h_src))\n", "\n", "plt.gcf().set_size_inches(14, 6)\n", "plt.plot(time_array[:1000], h_src[:1000].real, label=r\"$h_+$\")\n", "plt.plot(time_array[:1000],-h_src[:1000].imag, label=r\"$h_\\times$\")\n", "plt.ylim(-0.5, 0.5)\n", "plt.xlim(0, 5000)\n", "plt.xlabel(r\"$t \\quad[s]$\")\n", "plt.legend()\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "b613c9b9", "metadata": {}, "source": [ "## 2. Post-adiabatic trajectories" ] }, { "cell_type": "code", "execution_count": 7, "id": "a81961bc", "metadata": {}, "outputs": [], "source": [ "from few.trajectory.inspiral import EMRIInspiral\n", "from few.trajectory.ode.circ1pat1r import TrajectoryCirc1PAT1R" ] }, { "cell_type": "markdown", "id": "ed1756f6", "metadata": {}, "source": [ "In this section we describe the implementation of the post-adiabatic trajectory. We highlight the following features:\n", "\n", "\n", "- The model incorporates the evolution of the primary black hole's mass due to the emission of gravitational radiation. Internally this is described using the mass deviation parameter \n", " $$\n", " \\delta M(t) := \\frac{m_1^{\\rm phys}(t) - m_1}{\\nu M}, \\qquad\\qquad (2.1)\n", " $$\n", " where $m_1^{\\rm phys}(t)$ is the time-varying physical mass of the primary black hole. \n", "\n", "- The model additionally incorporates the evolution of the primary black hole's spin, but the secondary object's spin is treated as fixed. Internally, we make use of the rescaled variables $\\tilde \\chi_1$ and $\\tilde \\chi_2$ defined by\n", " $$\n", " \\tilde\\chi_1 := \\frac{m_1}{M}\\chi_1 = \\frac{1}{2}(1+\\sqrt{1-4\\nu})\\chi_1, \\qquad\\tilde\\chi_2 := \\frac{m_2}{M}\\chi_2 = \\frac{1}{2}(1-\\sqrt{1-4\\nu})\\chi_2. \\qquad\\qquad (2.2)\n", " $$\n", " The evolution of the primary spin is then described using the parameter $\\delta\\tilde\\chi_1(t) := \\tilde\\chi_1(t) - \\tilde\\chi_1(t=0)$.\n", "\n", "Altogether the trajectory state vector for this model is $\\vec y = (p, e, x_I, \\Phi_\\phi, \\Phi_\\theta, \\Phi_r, \\delta M, \\delta\\tilde\\chi_1)$, where the first 6 elements are the same as for the adiabatic order models included in FEW. " ] }, { "cell_type": "markdown", "id": "3a52a19a", "metadata": {}, "source": [ "The system of ODEs describing the time-evolution of the state vector is defined using the `TrajectoryCirc1PAT1R` class. These differential equations can be integrated using the generic `EMRIInspiral` solver:" ] }, { "cell_type": "code", "execution_count": 8, "id": "14a29e68", "metadata": {}, "outputs": [], "source": [ "# Instantiate integrator\n", "traj = EMRIInspiral(func=TrajectoryCirc1PAT1R)\n", "\n", "# System parameters\n", "m1 = 1e6 # primary mass [solar masses]\n", "m2 = 1e6 # secondary mass [solar masses]\n", "a = -0.2 # primary spin chi1 (dimensionless)\n", "chi2 = -0.1 # secondary spin\n", "p0 = 15.0 # initial orbital separation [M]\n", "dt = 1. # time step [s]\n", "T = 1 # total duration [yr]\n", "\n", "# Integrate\n", "t, p, e, x, Phi_phi, Phi_theta, Phi_r, deltaM, deltachit1 = traj( \n", " m1, m2,\n", " a, # chi1 (primary spin)\n", " p0,\n", " 0.0, # e0: circular\n", " 1.0, # xI: equatorial prograde\n", " chi2,\n", " T=T\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "id": "5ac7f79e", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.gcf().set_size_inches(12, 12)\n", "plt.subplot(221)\n", "plt.plot(t, p)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\" $p$\")\n", "plt.grid()\n", "\n", "plt.subplot(222)\n", "plt.plot(t, deltachit1)\n", "plt.xlabel(r\"$t \\quad [s]$\")\n", "plt.ylabel(r\"$\\delta\\tilde\\chi_1$\")\n", "plt.grid()\n", "\n", "plt.subplot(223)\n", "plt.plot(t, deltaM)\n", "plt.xlabel(r\"$t \\quad [s]$\")\n", "plt.ylabel(r\"$\\delta M$\")\n", "plt.grid()\n", "\n", "plt.subplot(224)\n", "plt.plot(t, Phi_phi)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi_\\phi$\")\n", "plt.grid()\n", "\n", "plt.gcf().tight_layout()" ] }, { "cell_type": "markdown", "id": "7837548d", "metadata": {}, "source": [ "Note that the trajectory evolves the parameters $\\delta M$ and $\\delta \\tilde\\chi_1$ by default. This can be switched off by setting `evolve_primary = False` when instantiating the trajectory class (it can also be set through `inspiral_kwargs` in `GenerateEMRIWaveform` -- see Sec. 4):" ] }, { "cell_type": "code", "execution_count": 10, "id": "33d9a18b", "metadata": {}, "outputs": [], "source": [ "traj_no_evolve_primary = EMRIInspiral(func=TrajectoryCirc1PAT1R, evolve_primary=False)\n", "\n", "t_2, p_2, e_2, x_2, Phi_phi_2, Phi_theta_2, Phi_r_2, deltaM_2, deltachit1_2 = traj_no_evolve_primary( \n", " m1, m2,\n", " a, # chi1 (primary spin)\n", " p0,\n", " 0.0, # e0: circular\n", " 1.0, # xI: equatorial prograde\n", " chi2,\n", " T=T\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "id": "aa2eeace", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.gcf().set_size_inches(12, 12)\n", "plt.subplot(221)\n", "plt.plot(t, p, label=r\"$\\text{evolve\\_primary = True}$\")\n", "plt.plot(t_2, p_2, ls='--', label=r\"$\\text{evolve\\_primary = False}$\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\" $p$\")\n", "plt.grid()\n", "plt.legend()\n", "\n", "plt.subplot(222)\n", "plt.plot(t, deltachit1, label=r\"$\\text{evolve\\_primary = True}$\")\n", "plt.plot(t_2, deltachit1_2, ls='--', label=r\"$\\text{evolve\\_primary = False}$\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\delta\\tilde\\chi_1$\")\n", "plt.grid()\n", "\n", "plt.subplot(223)\n", "plt.plot(t, deltaM, label=r\"$\\text{evolve\\_primary = True}$\")\n", "plt.plot(t_2, deltaM_2, ls='--', label=r\"$\\text{evolve\\_primary = False}$\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\delta M$\")\n", "plt.grid()\n", "\n", "plt.subplot(224)\n", "plt.plot(t, Phi_phi, label=r\"$\\text{evolve\\_primary = True}$\")\n", "plt.plot(t_2, Phi_phi_2, ls='--', label=r\"$\\text{evolve\\_primary = False}$\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi_\\phi$\")\n", "plt.grid()\n", "\n", "plt.gcf().tight_layout()" ] }, { "cell_type": "markdown", "id": "04d4bab9", "metadata": {}, "source": [ "## 3. Post-adiabatic waveform amplitudes" ] }, { "cell_type": "code", "execution_count": 12, "id": "867a5bd1", "metadata": {}, "outputs": [], "source": [ "from few.amplitude.ampinterp1d import AmplitudeCirc1PAT1R" ] }, { "cell_type": "markdown", "id": "60410518", "metadata": {}, "source": [ "The full waveform mode amplitude $\\mathcal{A}_{\\ell m}$ in 1PAT1R is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathcal{A}_{\\ell m} = \\Delta_m(\\nu)\\Big[&\\mathcal{A}^{\\rm 0PA}_{\\ell m}(p) + \\nu\\bar{\\mathcal{A}}^{\\rm 1PA}_{\\ell m}(p) \\\\\n", "& \\qquad + \\tilde\\chi_1\\mathcal{A}^{\\rm 1PA\\chi_1}_{\\ell m}(p) + \\tilde\\chi_2\\mathcal{A}^{\\rm 1PA\\chi_2}_{\\ell m}(p) + \\nu\\,\\delta M\\,\\mathcal{A}^{\\rm 1PA\\delta M}_{\\ell m}(p)\\Big]\n", "\\end{aligned} \\qquad (3.1)\n", "$$\n", "\n", "where $\\mathcal{A}_{\\ell m}^{\\rm 0PA}$ and $\\nu\\bar{\\mathcal{A}}_{\\ell m}^{\\rm 1PA}$ are the non-spinning 0PA and 1PA self-force amplitudes, $\\tilde\\chi_1\\mathcal{A}_{\\ell m}^{\\rm 1PA\\chi_1}$ and $\\tilde\\chi_2\\mathcal{A}_{\\ell m}^{\\rm 1PA\\chi_2}$ are the corrections due to the primary and secondary spin, respectively, and $\\nu\\delta M\\mathcal{A}_{\\ell m}^{\\rm 1PA\\delta M}$ is a correction due to the evolution of the mass of the primary black hole. The factor $\\Delta_m(\\nu)$ is defined \n", "$$\n", " \\Delta_m(\\nu) := \\begin{cases}1 & \\text{for even }m\\\\\n", " \\sqrt{1-4\\nu} & \\text{for odd }m.\n", " \\end{cases}\n", "$$\n", "\n", "The generation of the waveform mode amplitudes is handled by an instance of the `AmplitudeCirc1PAT1R` class:" ] }, { "cell_type": "code", "execution_count": 13, "id": "e9439e41", "metadata": {}, "outputs": [], "source": [ "amp = AmplitudeCirc1PAT1R()" ] }, { "cell_type": "markdown", "id": "af4dda98", "metadata": {}, "source": [ "We can generate a single piece $\\mathcal{A}_{\\ell m}^{\\rm 0PA}$, $\\bar{\\mathcal{A}}_{\\ell m}^{\\rm 1PA}$ $\\mathcal{A}_{\\ell m}^{\\rm 1PA\\chi_1}$, $\\mathcal{A}_{\\ell m}^{\\rm 1PA\\chi_2}$ or $\\mathcal{A}_{\\ell m}^{\\rm 1PA\\delta M}$ using the `get_amplitudes_single_piece` method, specifying the desired component using the `data_key` keyword argument:" ] }, { "cell_type": "code", "execution_count": 14, "id": "b5cff59a", "metadata": {}, "outputs": [], "source": [ "# Orbital parameters\n", "p = 8.0\n", "\n", "amp_dict = {}\n", "all_keys = [\"0PA\", \"1PA\", \"1PAchi1\", \"1PAchi2\", \"1PAdeltam\"]\n", "\n", "for key in all_keys:\n", " amp_dict[key] = amp.get_amplitudes_single_piece(p, data_key=key)" ] }, { "cell_type": "markdown", "id": "4650b6ef", "metadata": {}, "source": [ "`get_amplitudes_single_piece` returns the amplitude for each $(\\ell, m)$ mode included in the model. To extract a single mode, we use the `special_index_map` to extract the index corresponding to the given $(\\ell, m)$ mode. For example, for the $(2,2)$ mode:" ] }, { "cell_type": "code", "execution_count": 15, "id": "61355395", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0PA:\t (0.6946048861678247-0.21844272921614127j)\n", "1PA:\t (-0.022851489208162327-0.2652459240585896j)\n", "1PAchi1:\t (-0.07278410083564989+0.01948906689050753j)\n", "1PAchi2:\t (-0.027089998775075508+0.00852021052770059j)\n", "1PAdeltam:\t (-0.23499051665806847-0.0005106753945773312j)\n" ] } ], "source": [ "idx22 = amp.special_index_map[(2,2,0,0)] #k=n=0 for this circular, equatorial model\n", "\n", "for key in all_keys:\n", " print(f\"{key}:\\t\", amp_dict[key][0, idx22])" ] }, { "cell_type": "markdown", "id": "a8d63d0d", "metadata": {}, "source": [ "To obtain the full summed amplitude using Eq. (3.1), use the `get_amplitudes` method. Note the signature of this function: we first pass the values of $(a, p, e, x_I)$ as for the 0PA models in FEW [where $a$ in this case contains the value of the initial dimensionless primary spin $\\chi_1(t=0)$], and then the values of $(\\nu, \\chi_2, \\delta\\tilde\\chi_1, \\delta M)$." ] }, { "cell_type": "code", "execution_count": 16, "id": "2620f7c9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "***** The (2,2) mode amplitude is: (0.693658588089345-0.2459030575707006j) *****\n" ] } ], "source": [ "nu=0.1\n", "chi2=0.4\n", "delta_chit1=0.11\n", "deltaM=0.1\n", "\n", "combined_amps = amp.get_amplitudes(a, p, e0, xI0, nu, chi2, delta_chit1, deltaM)\n", "print(\"***** The (2,2) mode amplitude is: \", combined_amps[:, idx22][0], \" *****\")" ] }, { "cell_type": "markdown", "id": "3b803187", "metadata": {}, "source": [ "The 1PA terms in Eq. (3.1) can be omitted by setting the keyword argument `zero_PA_amps_only=True` when instantiating the amplitude class:" ] }, { "cell_type": "code", "execution_count": 17, "id": "c6d65726", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amp0PA = AmplitudeCirc1PAT1R(zero_PA_amps_only=True)\n", "p_arr = np.linspace(6.26, 29.95)\n", "amp22_arr = amp.get_amplitudes(a, p_arr, e0, xI0, nu, chi2, delta_chit1, deltaM)[:, idx22]\n", "amp22_0PA_arr = amp0PA.get_amplitudes(a, p_arr, e0, xI0, nu, chi2, delta_chit1, deltaM)[:, idx22]\n", "\n", "plt.plot(p_arr, np.abs(amp22_arr), lw=2.0, label=\"Full 1PA\")\n", "plt.plot(p_arr, np.abs(amp22_0PA_arr), lw=2.0, ls=\"--\", label=\"0PA only\")\n", "plt.legend();\n", "plt.xlabel(r\"$p$\");\n", "plt.ylabel(r\"$\\mathcal{A}_{22}(p)$\");" ] }, { "cell_type": "markdown", "id": "f505cba4", "metadata": {}, "source": [ "## 4. Advanced waveform options" ] }, { "cell_type": "markdown", "id": "d9118e98", "metadata": {}, "source": [ "The 1PA contributions to the amplitudes and the evolution of the primary mass and spin can both be disabled in the waveform generator using suitable keyword arguments when instantiating the generator:" ] }, { "cell_type": "code", "execution_count": 18, "id": "1f3bcfec", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "waveform_generator_off = GenerateEMRIWaveform(\n", " \"Circ1PAT1R\",\n", " #sum_kwargs = dict(pad_output=True), \n", " inspiral_kwargs = {\"evolve_primary\": False},\n", " amplitude_kwargs = {\"zero_PA_amps_only\": True},\n", " frame = \"detector\"\n", " )\n", "h_on = waveform_generator(*params, T=T, dt=dt) #default behaviour\n", "h_off = waveform_generator_off(*params, T=T, dt=dt)\n", "\n", "plt.gcf().set_size_inches(14, 6)\n", "plt.plot(dt*np.arange(len(h_on))[-5000:], h_on.real[-5000:], label=\"Enabled (default)\")\n", "plt.plot(dt*np.arange(len(h_off))[-5000:], h_off.real[-5000:], ls='--', label=\"Disabled\")\n", "plt.ylim(-5e-22, 5e-22)\n", "plt.ylabel(r\"$h_+$\")\n", "plt.xlabel(r\"$t \\quad [s]$\")\n", "plt.legend()\n", "plt.grid()" ] }, { "cell_type": "code", "execution_count": 19, "id": "edb09b8b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.gcf().set_size_inches(14, 6)\n", "plt.plot(dt*np.arange(len(h_on)), np.abs(h_on - h_off), label=\"Abs. Diff.\")\n", "plt.legend(loc=\"upper left\")\n", "plt.xlabel(r\"$t \\quad [s]$\")\n", "plt.grid()" ] } ], "metadata": { "kernelspec": { "display_name": "few-cpu", "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }