{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Generating Brown Dwarf Emission Spectra\n", "\n", "This tutorial demonstrates how to compute the direct emission spectrum of a directly imaged object (brown dwarf or directly imaged exoplanet)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Basic T Dwarf Model" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We'll make a simple cloud-free T dwarf model loosely on the retrieved parameters from Line+2015." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### System properties\n", "\n", "For a directly observed object, we want to compute a model of the flux observed at Earth, $F_p$. We don't have to consider a star in this case, but we do have to provide the distance to the system." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import create_planet\n", "from POSEIDON.constants import R_J\n", "import numpy as np\n", "from scipy.constants import parsec as pc\n", "\n", "#***** Define planet / brown dwarf properties *****#\n", "\n", "planet_name = 'GJ 570 D' # Planet name used for plots, output files etc.\n", "\n", "R_p = 1.1481664*R_J # Planetary radius (m)\n", "log_g = 4.76 # log_10 gravitational field of planet (cm/s^2)\n", "d = 5.882*pc # Distance to system (m)\n", "d_err = 0.00311*pc # Error in a priori system distance\n", "\n", "# Create the planet object\n", "planet = create_planet(planet_name, R_p, log_g = log_g, d = d, d_err = d_err)\n", "\n", "# No star in this case\n", "star = None" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Free parameters: ['R_p_ref' 'log_g' 'd' 'T_phot_PT' 'Delta_T_1' 'Delta_T_2' 'Delta_T_3'\n", " 'Delta_T_4' 'Delta_T_5' 'Delta_T_6' 'Delta_T_7' 'log_H2O' 'log_CH4'\n", " 'log_CO' 'log_CO2' 'log_NH3' 'log_HCN' 'log_Na' 'log_K']\n" ] } ], "source": [ "from POSEIDON.core import define_model\n", "\n", "#***** Define model *****#\n", "\n", "model_name = 'Brown-Dwarf' # Model name used for plots, output files etc.\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = ['H2O', 'CH4', 'CO', 'CO2', 'NH3', 'HCN', 'Na', 'K']\n", "\n", "# Create the model object\n", "model = define_model(model_name, bulk_species, param_species, \n", " object_type = 'directly_imaged', gravity_setting = 'free',\n", " PT_profile = 'slope', thermal = True, thermal_scattering = False)\n", "\n", "# Check the free parameters defining this model\n", "print(\"Free parameters: \" + str(model['param_names']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that $d$ is the distance to the brown dwarf, which is typically a free parameter in retrievals. For this forward model we initialise the distance by providing it to the `create_planet` function above." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import make_atmosphere\n", "\n", "# Specify the pressure grid of the atmosphere\n", "P_min = 1.0e-3 # 1 mbar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# We'll space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure and radius\n", "P_ref = 10.0 # Reference pressure (bar)\n", "R_p_ref = R_p # Radius at reference pressure\n", "\n", "# Provide a specific set of model parameters for the atmosphere \n", "PT_params = np.array([900.0, 0, 100, 300, 200, 300, 400, 530])\n", "\n", "log_X_params = np.array([[-3.45, -3.40, -7.53, -7.76, -4.64, -20.0, -5.50, -6.69]])\n", "\n", "# Generate the atmosphere\n", "atmosphere = make_atmosphere(planet, model, P, P_ref, R_p_ref, PT_params, \n", " log_X_params, log_g = log_g)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what our atmosphere looks like." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.visuals import plot_PT, plot_chem\n", "\n", "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model, atmosphere, log_P_max = 2.0)\n", "\n", "fig_chem = plot_chem(planet, model, atmosphere, \n", " plot_species = ['H2O', 'CH4', 'CO', 'CO2', 'NH3', 'Na', 'K'],\n", " log_X_min = -9, log_P_max = 2.0)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Pre-load opacities\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reading in cross sections in opacity sampling mode...\n", "H2-H2 done\n", "H2-He done\n", "H2-CH4 done\n", "CO2-H2 done\n", "CO2-CO2 done\n", "CO2-CH4 done\n", "H2O done\n", "CH4 done\n", "CO done\n", "CO2 done\n", "NH3 done\n", "HCN done\n", "Na done\n", "K done\n", "Opacity pre-interpolation complete.\n" ] } ], "source": [ "from POSEIDON.core import read_opacities, wl_grid_constant_R\n", "\n", "#***** Wavelength grid *****#\n", " \n", "wl_min = 0.4 # Minimum wavelength (um)\n", "wl_max = 2.0 # Maximum wavelength (um)\n", "R = 15000 # Spectral resolution of grid\n", "\n", "wl = wl_grid_constant_R(wl_min, wl_max, R)\n", "\n", "#***** Read opacity data *****#\n", "\n", "opacity_treatment = 'opacity_sampling'\n", "\n", "# Define fine temperature grid (K)\n", "T_fine_min = 200 # 400 K lower limit suffices for a typical hot Jupiter\n", "T_fine_max = 2200 # 2000 K upper limit suffices for a typical hot Jupiter\n", "T_fine_step = 10 # 10 K steps are a good tradeoff between accuracy and RAM\n", "\n", "T_fine = np.arange(T_fine_min, (T_fine_max + T_fine_step), T_fine_step)\n", "\n", "# Define fine pressure grid (log10(P/bar))\n", "log_P_fine_min = -4.0 # 1 ubar is the lowest pressure in the opacity database\n", "log_P_fine_max = 2.0 # 100 bar is the highest pressure in the opacity database\n", "log_P_fine_step = 0.2 # 0.2 dex steps are a good tradeoff between accuracy and RAM\n", "\n", "log_P_fine = np.arange(log_P_fine_min, (log_P_fine_max + log_P_fine_step), \n", " log_P_fine_step)\n", "\n", "# Now we can pre-interpolate the sampled opacities (may take up to a minute)\n", "opac = read_opacities(model, wl, opacity_treatment, T_fine, log_P_fine)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Compute Emission Spectrum\n", "\n", "Now we can generate the emission spectrum of our brown dwarf." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.core import compute_spectrum\n", "from POSEIDON.visuals import plot_spectra\n", "from POSEIDON.utility import plot_collection\n", "\n", "# Generate brown dwarf surface flux\n", "Fp = compute_spectrum(planet, star, model, atmosphere, opac, wl, \n", " spectrum_type = 'direct_emission', # <---- Remember to put spectrum_type = 'direct_emission' to get Fp\n", " ) \n", "\n", "spectra = [] \n", "spectra = plot_collection(Fp, wl, collection = spectra)\n", "\n", "# Produce figure and save to file\n", "fig_spec = plot_spectra(spectra, planet, R_to_bin = 100, plot_full_res = True,\n", " y_unit = 'Fp', spectra_labels = ['Brown Dwarf'],\n", " legend_location = 'upper right', legend_box = False,\n", " wl_axis = 'log', wl_min = 0.4, wl_max = 2.0,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Y-Dwarf with Scattering Clouds\n", "\n", "To demonstrate the effect of thermal scattering, we define a forward model Y-dwarf with water ice aerosols in it.\n", "\n", "Y dwarfs are the coldest class of brown dwarf, and can get cold enough to have substantial water clouds (atmosphere is similar temperature to a warm oven)\n", "\n", "Water ice is a strong forward scatterer, which we should be familiar with here on Earth (it is why clouds are white!)\n", "\n", "Since water ice is a strong forward scatterer, it will make a spectra brighter in certain wavelengths due to thermal emission being forward scattered instead of absorbed (or assumed lost to the beam)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", " **Note:**\n", "\n", " If you downloaded the aerosol database hdf5 file for v1.2, you will need to download the new version released with v1.3.1, which has updated, more accurate aerosol scattering properties. You can find the updated aerosol database on [Zenodo](https://doi.org/10.5281/zenodo.15711943).\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import create_planet\n", "from POSEIDON.constants import R_J\n", "import numpy as np\n", "from scipy.constants import parsec as pc\n", "\n", "#***** Define planet / brown dwarf properties *****#\n", "\n", "planet_name = 'H$_2$O Ice Rich Y Dwarf' # Planet name used for plots, output files etc.\n", "\n", "# Parameters are consistent with WISE 0855-0714\n", "\n", "R_p = 1.17*R_J # Planetary radius (m)\n", "log_g = 4.0 # log_10 gravitational field of planet (cm/s^2)\n", "d = 5.882*pc # Distance to system (m)\n", "d_err = 0.00311*pc # Error in a priori system distance\n", "\n", "# Create the planet object\n", "planet = create_planet(planet_name, R_p, log_g = log_g, d = d, d_err = d_err)\n", "\n", "# No star in this case\n", "star = None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will make a simple direct maging model with slab Mie scattering aerosols. We define two models, one with scattering off (default setting) and one with it on." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Free parameters: ['R_p_ref' 'log_g' 'd' 'T_phot_PT' 'Delta_T_1' 'Delta_T_2' 'Delta_T_3'\n", " 'Delta_T_4' 'Delta_T_5' 'Delta_T_6' 'Delta_T_7' 'log_H2O' 'log_CH4'\n", " 'log_CO' 'log_CO2' 'log_NH3' 'log_HCN' 'log_P_top_slab_H2O'\n", " 'Delta_log_P_H2O' 'log_r_m_H2O' 'log_X_H2O']\n" ] } ], "source": [ "from POSEIDON.core import define_model\n", "\n", "#***** Define model *****#\n", "\n", "model_name = 'Scattering_direct_imaging' # Model name used for plots, output files etc.\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = ['H2O', 'CH4', 'CO', 'CO2', 'NH3', 'HCN']\n", "aerosol_species = ['H2O']\n", "\n", "# Create the model object\n", "model_no_scat = define_model(model_name, bulk_species, param_species, \n", " object_type = 'directly_imaged', gravity_setting = 'free',\n", " PT_profile = 'slope', \n", " cloud_model = 'Mie', cloud_type = 'slab',\n", " aerosol_species = aerosol_species,\n", " thermal = True, thermal_scattering = False)\n", "\n", "model_scat = define_model(model_name, bulk_species, param_species, \n", " object_type = 'directly_imaged', gravity_setting = 'free',\n", " PT_profile = 'slope', \n", " cloud_model = 'Mie', cloud_type = 'slab',\n", " aerosol_species = aerosol_species,\n", " thermal = True, thermal_scattering = True)\n", "\n", "# Check the free parameters defining this model\n", "print(\"Free parameters: \" + str(model_no_scat['param_names']))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import make_atmosphere\n", "from POSEIDON.core import wl_grid_constant_R\n", "\n", "# Specify the pressure grid of the atmosphere\n", "P_min = 1.0e-3 # 1 mbar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "#***** Wavelength grid *****#\n", " \n", "wl_min = 0.4 # Minimum wavelength (um)\n", "wl_max = 13 # Maximum wavelength (um)\n", "R = 10000 # Spectral resolution of grid\n", "\n", "wl = wl_grid_constant_R(wl_min, wl_max, R)\n", "\n", "# We'll space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure and radius\n", "P_ref = 10.0 # Reference pressure (bar)\n", "R_p_ref = R_p # Radius at reference pressure\n", "\n", "# Provide a specific set of model parameters for the atmosphere \n", "PT_params = np.array([900.0/2, 0, 100/2, 300/2, 200/2, 300, 400, 530])\n", "log_X_params = np.array([[-3, -4, -5, -7, -4, -20.0,]])\n", "\n", "# Cloud Params for slab\n", "log_P_top_slab_H2O = -3\n", "Delta_log_P_H2O = 5\n", "log_r_m_H2O = 1 # Corresponds to 10 um sized particles\n", "log_X_H2O = -21\n", "\n", "cloud_params = np.array([log_P_top_slab_H2O, Delta_log_P_H2O, log_r_m_H2O, log_X_H2O])\n", "\n", "# Generate the atmosphere\n", "atmosphere = make_atmosphere(planet, model_no_scat, P, P_ref, R_p_ref, PT_params, \n", " log_X_params, cloud_params, log_g = log_g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what our atmosphere looks like." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.clouds import plot_clouds\n", "from POSEIDON.visuals import plot_PT, plot_chem\n", "\n", "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_no_scat, atmosphere, log_P_max = 2.0)\n", "\n", "\n", "fig_chem = plot_chem(planet, model_no_scat, atmosphere, \n", " plot_species = ['H2O', 'CH4', 'CO', 'CO2', 'NH3'],\n", " log_X_min = -9, log_P_max = 2.0)\n", "\n", "plot_clouds(planet,model_scat,atmosphere)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll load the opacities to calculate the spectrum of this Y dwarf.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reading in cross sections in opacity sampling mode...\n", "H2-H2 done\n", "H2-He done\n", "H2-CH4 done\n", "CO2-H2 done\n", "CO2-CO2 done\n", "CO2-CH4 done\n", "H2O done\n", "CH4 done\n", "CO done\n", "CO2 done\n", "NH3 done\n", "HCN done\n", "Reading in database for aerosol cross sections...\n", "Opacity pre-interpolation complete.\n" ] } ], "source": [ "from POSEIDON.core import read_opacities, wl_grid_constant_R\n", "\n", "#***** Wavelength grid *****#\n", " \n", "wl_min = 0.4 # Minimum wavelength (um)\n", "wl_max = 13 # Maximum wavelength (um)\n", "R = 10000 # Spectral resolution of grid\n", "\n", "wl = wl_grid_constant_R(wl_min, wl_max, R)\n", "\n", "#***** Read opacity data *****#\n", "\n", "opacity_treatment = 'opacity_sampling'\n", "\n", "# Define fine temperature grid (K)\n", "T_fine_min = 100 # 400 K lower limit suffices for a typical hot Jupiter\n", "T_fine_max = 2000 # 2000 K upper limit suffices for a typical hot Jupiter\n", "T_fine_step = 10 # 10 K steps are a good tradeoff between accuracy and RAM\n", "\n", "T_fine = np.arange(T_fine_min, (T_fine_max + T_fine_step), T_fine_step)\n", "\n", "# Define fine pressure grid (log10(P/bar))\n", "log_P_fine_min = -4.0 # 1 ubar is the lowest pressure in the opacity database\n", "log_P_fine_max = 2.0 # 100 bar is the highest pressure in the opacity database\n", "log_P_fine_step = 0.2 # 0.2 dex steps are a good tradeoff between accuracy and RAM\n", "\n", "log_P_fine = np.arange(log_P_fine_min, (log_P_fine_max + log_P_fine_step), \n", " log_P_fine_step)\n", "\n", "# Now we can pre-interpolate the sampled opacities (may take up to a minute)\n", "opac = read_opacities(model_no_scat, wl, opacity_treatment, T_fine, log_P_fine)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute Y-dwarf Emission Spectrum\n", "\n", "Now we can generate the emission spectrum of our brown dwarf." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.core import compute_spectrum\n", "from POSEIDON.visuals import plot_spectra\n", "from POSEIDON.utility import plot_collection\n", "\n", "# Generate brown dwarf surface flux\n", "Fp_no_scat = compute_spectrum(planet, star, model_no_scat, atmosphere, opac, wl, \n", " spectrum_type = 'direct_emission', save_spectrum = True)\n", "Fp_scat = compute_spectrum(planet, star, model_scat, atmosphere, opac, wl, \n", " spectrum_type = 'direct_emission', save_spectrum = True)\n", "\n", "spectra = [] \n", "spectra = plot_collection(Fp_no_scat, wl, collection = spectra)\n", "spectra = plot_collection(Fp_scat, wl, collection = spectra)\n", "\n", "title = 'Effect of Clouds - Scattering'\n", "\n", "# Produce figure and save to file\n", "fig_spec = plot_spectra(spectra, planet, R_to_bin = 100, plot_full_res = False,\n", " y_unit = 'Fp', spectra_labels = ['No Scattering', 'Scattering'],\n", " legend_location = 'upper right', wl_axis = 'log', \n", " colour_list = ['#ff7f00', '#984ea3'],\n", " plt_label = title,\n", " figure_shape = 'wide')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wow! You can really the effect of forward scattering in the shorter wavelengths, where thermal emission is being forward scattered by the water ice. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Investigating Scattering Properties \n", "\n", "Let's dig a little deeper into the Mie scattering properties of our Y dwarf." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reading in database for aerosol cross sections...\n" ] }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.clouds import load_aerosol_grid, interpolate_sigma_Mie_grid\n", "import matplotlib.pyplot as plt \n", "\n", "species = 'H2O'\n", "\n", "# Load in the grid \n", "aerosol_grid = load_aerosol_grid([species])\n", "\n", "# Test to see if the cross sections come out with SiO2 particle, 0.01 um sized\n", "r_m = 10\n", "\n", "# This formula loads in the grid \n", "sigma_Mie_interp_array = interpolate_sigma_Mie_grid(aerosol_grid, wl, [r_m], [species],)\n", "\n", "# Lets load in the cross sections, asymmetry parameter, and single scattering albedo \n", "eff_ext = sigma_Mie_interp_array[species]['eff_ext']\n", "eff_w = sigma_Mie_interp_array[species]['eff_w']\n", "eff_g = sigma_Mie_interp_array[species]['eff_g']\n", "\n", "label = '$r_m$ = ' + str(r_m) + ' μm'\n", "title = 'H$_2$O Aerosol Cross Section'\n", "\n", "plt.plot(wl,eff_ext, label = label)\n", "plt.legend()\n", "plt.title(title)\n", "plt.xlabel('Wavelengths (um)')\n", "plt.ylabel('$\\sigma_{eff,ext}$')\n", "plt.xticks((0,2,3.4,6,8,10,12))\n", "plt.show()\n", "\n", "title = 'H$_2$O Single Scattering Albedo'\n", "\n", "plt.plot(wl,eff_w, label = label)\n", "plt.legend()\n", "plt.title(title)\n", "plt.xlabel('Wavelengths (um)')\n", "plt.ylabel('Single Scattering Albedo')\n", "plt.xticks((0,2,3.4,6,8,10,12))\n", "plt.ylim((0,1.05))\n", "plt.show()\n", "\n", "title = 'H$_2$O Asymmetry Parameter'\n", "\n", "plt.plot(wl,eff_g, label = label)\n", "plt.legend()\n", "plt.title(title)\n", "plt.xlabel('Wavelengths (um)')\n", "plt.ylabel('Asymmetry Parameter')\n", "plt.xticks((0,2,3.4,6,8,10,12))\n", "plt.ylim((0,1.05))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that large water ice particles have a single scattering albedo near one in short wavelengths, meaning that the aerosol will preferentially scatter instead of absorb. They also have an asymmetry parameter near 1, which means that the light is being forward scattered (in lieu of being symmetrically scattered, like in the Rayleigh case)." ] } ], "metadata": { "kernelspec": { "display_name": "POSEIDON_python_3.11", "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": "3.11.9" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }