{ "cells": [ { "cell_type": "markdown", "id": "VSC-fedcce13", "metadata": { "language": "markdown" }, "source": [ "# Cloud Models\n", "\n", "Clouds are one of the most important sources of spectral degeneracy in exoplanet atmospheres: they suppress molecular features and make an atmosphere look featureless, regardless of its composition. This notebook extends the clear-sky transmission model from [Transmission spectrum basics](https://escience-taurex.github.io/taurex3/examples/03_transmission_basics.html) with three different cloud parameterisations, so you can see how each one imprints on the spectrum. The same sensitivity that makes clouds interesting also makes them a key consideration for the retrievals in [Fitting parameters and retrievals](https://escience-taurex.github.io/taurex3/examples/10_retrievals.html) — [Contribution analysis](https://escience-taurex.github.io/taurex3/examples/07_contribution_analysis.html) comes back to that from a contribution-analysis perspective.\n", "\n", "TauREx provides three built-in cloud contributions:\n", "\n", "- **`SimpleCloudsContribution`** — an opaque deck below a specified pressure level, blocking all radiation from deeper layers.\n", "- **`FlatMieContribution`** — a grey (wavelength-independent) opacity layer between two pressure boundaries, with tunable strength.\n", "- **`LeeMieContribution`** — wavelength-dependent Mie scattering using the [Lee et al. 2013](https://iopscience.iop.org/article/10.1088/0004-637X/778/2/97) formalism, parametrised by particle radius, extinction coefficient, and number density.\n", "\n", "More information about cloud contributions and their parameter-file keywords is [here](../user/taurex/models.rst)." ] }, { "cell_type": "markdown", "id": "761a693f", "metadata": {}, "source": [ "## Data Note\n", "\n", "This notebook uses the opacity files set up in [Setup and opacity data](https://escience-taurex.github.io/taurex3/examples/01_setup_and_data.html). TauREx provides the software to work with these datasets; the files themselves are third-party products from [ExoMol](https://www.exomol.com)." ] }, { "cell_type": "code", "execution_count": 1, "id": "VSC-04ef9160", "metadata": { "language": "python" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Clear contributions: ['Absorption', 'Rayleigh']\n", "Cloudy contributions: ['SimpleClouds', 'Absorption', 'Rayleigh']\n" ] } ], "source": [ "from _shared import build_transmission_model\n", "from taurex.contributions import SimpleCloudsContribution\n", "\n", "clear_context = build_transmission_model(include_cia=False, include_rayleigh=True, download=False)\n", "cloudy_context = build_transmission_model(\n", " include_cia=False,\n", " include_rayleigh=True,\n", " clouds=SimpleCloudsContribution(clouds_pressure=1e3),\n", " download=False,\n", " )\n", "\n", "clear_tm = clear_context['tm']\n", "cloudy_tm = cloudy_context['tm']\n", "\n", "print('Clear contributions:', [c.name for c in clear_tm.contribution_list])\n", "print('Cloudy contributions:', [c.name for c in cloudy_tm.contribution_list])" ] }, { "cell_type": "markdown", "id": "VSC-145ea218", "metadata": { "language": "markdown" }, "source": [ "## Clear vs. Cloudy\n", "\n", "Both forward models are built from identical atmospheric parameters — only the cloud deck differs. That isolation makes the spectral impact of the cloud immediately visible without any confounding differences." ] }, { "cell_type": "code", "execution_count": 2, "id": "VSC-485634dc", "metadata": { "language": "python" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Max cloud impact on transit depth: 6.797e-04\n" ] } ], "source": [ "clear_wngrid, clear_rprs, _, _ = clear_tm.model()\n", "cloudy_wngrid, cloudy_rprs, _, _ = cloudy_tm.model()\n", "\n", "wlgrid = 10000 / clear_wngrid[::-1]\n", "clear_rprs = clear_rprs[::-1]\n", "cloudy_rprs = cloudy_rprs[::-1]\n", "\n", "print(f'Max cloud impact on transit depth: {(cloudy_rprs - clear_rprs).max():.3e}')" ] }, { "cell_type": "code", "execution_count": 3, "id": "VSC-13323485", "metadata": { "language": "python" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean cloud impact on transit depth: 8.169e-05\n" ] } ], "source": [ "difference = cloudy_rprs - clear_rprs\n", "print(f'Mean cloud impact on transit depth: {difference.mean():.3e}')" ] }, { "cell_type": "code", "execution_count": 4, "id": "VSC-5b35c437", "metadata": { "language": "python" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(wlgrid, clear_rprs, label='Clear atmosphere', lw=2)\n", "plt.plot(wlgrid, cloudy_rprs, label='With cloud deck', lw=2)\n", "plt.xscale('log')\n", "plt.xlabel('Wavelength (um)')\n", "plt.ylabel('$(R_p/R_s)^2$')\n", "plt.title('Clouds flatten transmission features')\n", "plt.legend()\n", "plt.grid(alpha=0.2)" ] }, { "cell_type": "code", "execution_count": 5, "id": "VSC-4647fe9c", "metadata": { "language": "python" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 3))\n", "plt.plot(wlgrid, difference, color='black', lw=2)\n", "plt.xscale('log')\n", "plt.xlabel('Wavelength (um)')\n", "plt.ylabel('Cloudy - clear')\n", "plt.title('Difference caused by the cloud deck')\n", "plt.grid(alpha=0.2)" ] }, { "cell_type": "markdown", "id": "VSC-61595f3f", "metadata": { "language": "markdown" }, "source": [ "## Why Features Flatten\n", "\n", "A cloud deck acts as a mirror in the atmosphere: it prevents photons from probing below a certain pressure level. Molecular features above the deck survive, but their contrast is reduced because the effective atmospheric path is shortened. This flattening is one of the central degeneracies in exoplanet retrieval — a featureless spectrum can mean either a clear, metal-poor atmosphere or a cloudy, gas-rich one.\n", "\n", "More information about cloud contributions and where they sit in the retrieval context is [here](../user/taurex/models.rst)." ] }, { "cell_type": "markdown", "id": "ca14bc5e", "metadata": {}, "source": [ "## FlatMie: A Grey Cloud Layer\n", "\n", "`FlatMieContribution` applies a wavelength-independent opacity between two pressure boundaries. Unlike `SimpleCloudsContribution`, it allows continuous tuning of the cloud strength via `flat_mix_ratio`, making it more suitable as a fitting parameter in retrievals.\n", "\n", "Setting `flat_bottomP=-1` extends the layer all the way to the base of the atmosphere. More information about the model syntax is [here](../user/taurex/models.rst)." ] }, { "cell_type": "code", "execution_count": 6, "id": "3c737373", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from taurex.contributions import FlatMieContribution\n", "\n", "flatmie_context = build_transmission_model(\n", " include_cia=False,\n", " include_rayleigh=True,\n", " clouds=FlatMieContribution(flat_mix_ratio=1e-31, flat_bottomP=-1, flat_topP=1e3),\n", " download=False,\n", ")\n", "flatmie_tm = flatmie_context['tm']\n", "_, flatmie_rprs, _, _ = flatmie_tm.model()\n", "flatmie_rprs = flatmie_rprs[::-1]\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(wlgrid, clear_rprs, lw=2, label='Clear')\n", "plt.plot(wlgrid, flatmie_rprs, lw=2, label='FlatMie')\n", "plt.xscale('log')\n", "plt.xlabel('Wavelength (um)')\n", "plt.ylabel('$(R_p/R_s)^2$')\n", "plt.title('FlatMie cloud layer')\n", "plt.legend()\n", "plt.grid(alpha=0.2)" ] }, { "cell_type": "markdown", "id": "31882660", "metadata": {}, "source": [ "## LeeMie: Wavelength-Dependent Scattering\n", "\n", "`LeeMieContribution` introduces particle-size-dependent opacity following the [Lee et al. 2013](https://iopscience.iop.org/article/10.1088/0004-637X/778/2/97) prescription. Unlike the grey models above, this produces a spectral slope: smaller particles scatter more at short wavelengths, producing a Rayleigh-like tilt, while larger particles give a flatter, greyer cloud signature." ] }, { "cell_type": "code", "execution_count": 7, "id": "978bd368", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from taurex.contributions import LeeMieContribution\n", "\n", "leemie_context = build_transmission_model(\n", " include_cia=False,\n", " include_rayleigh=True,\n", " clouds=LeeMieContribution(\n", " lee_mie_radius=0.01,\n", " lee_mie_q=40,\n", " lee_mie_mix_ratio=1e14,\n", " lee_mie_topP=1e1,\n", " lee_mie_bottomP=-1,\n", " ),\n", " download=False,\n", ")\n", "leemie_tm = leemie_context['tm']\n", "_, leemie_rprs, _, _ = leemie_tm.model()\n", "leemie_rprs = leemie_rprs[::-1]\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(wlgrid, clear_rprs, lw=2, label='Clear')\n", "plt.plot(wlgrid, leemie_rprs, lw=2, label='LeeMie')\n", "plt.xscale('log')\n", "plt.xlabel('Wavelength (um)')\n", "plt.ylabel('$(R_p/R_s)^2$')\n", "plt.title('LeeMie cloud scattering')\n", "plt.legend()\n", "plt.grid(alpha=0.2)" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }