{ "cells": [ { "cell_type": "markdown", "id": "cf6cc3b2-123e-4688-972c-7c8cb182f2ff", "metadata": {}, "source": [ "# Slab model" ] }, { "cell_type": "markdown", "id": "c3c2a083-b922-4708-bdbb-449aef1a7e07", "metadata": {}, "source": [ "The purpose of `dustpylib.radtrans.slab` is to implement a simple, plane-parallel slab solution for protoplanetary disks to compute disk intensity profiles in an approximate but fast way, based on files from `DustPy` simulations.\n", "\n", "`slab` implements the analytical solution for the radiative transfer equation in a plane-parallel slab geometry with or without scattering. The solution is from [Birnstiel et al. 2018 (Eq. 15 and follwoing)](https://dx.doi.org/10.3847/2041-8213/aaf743). However, the solution was already derived in [Miyake et al. 1993](https://doi.org/10.1006/icar.1993.1156), as we learned later (see their Appendix).\n", "\n", "In this notebook we are going to produce a radio image from the [planetary gaps example](https://stammler.github.io/dustpy/example_planetary_gaps.html) in the `DustPy` documentation. This repository contains a reduced `DustPy` output file of the final snapshot of the example model only containing the fields that are required to produce the `RADMC-3D` model. We will use the same snapshot to create an image with RADMC-3D and then compare a radial profile of that image to the slab model for comparison.\n", "\n", "All quantities are in CGS units." ] }, { "cell_type": "markdown", "id": "890a49c2-8837-45db-a761-b3c49d69e264", "metadata": {}, "source": [ "In the first step we need to load the `DustPy` data file using the `hdf5writer` for this." ] }, { "cell_type": "code", "execution_count": 1, "id": "b05addfe-ae95-4ad8-8cd3-8efdc7eb1fff", "metadata": {}, "outputs": [], "source": [ "from pathlib import Path\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from dustpy import hdf5writer\n", "import dustpy.constants as c\n", "from dustpylib.radtrans import radmc3d" ] }, { "cell_type": "markdown", "id": "111ec6d3-49a4-4b5d-a35c-906166400eb5", "metadata": {}, "source": [ "## Read in the dustpy snapshot" ] }, { "cell_type": "code", "execution_count": 2, "id": "7f5c30e7", "metadata": {}, "outputs": [], "source": [ "writer = hdf5writer()\n", "writer.datadir = \"example_planetary_gaps\"\n", "data = writer.read.output(21)" ] }, { "cell_type": "markdown", "id": "575397e8-8823-462f-b0ac-b7277f88e0ec", "metadata": {}, "source": [ "## Creating a RADMC-3D model for comparison" ] }, { "cell_type": "markdown", "id": "178197ac-6a75-4987-9908-c76b91a66c2a", "metadata": {}, "source": [ "To compare the results of the slab model with a \"ground truth\" result use `RADMC-3D`. The following cells are taken from the `radmc3d.ipynb` notebook but only creates the setup and computes the radio image." ] }, { "cell_type": "code", "execution_count": 3, "id": "305527fb-9bb7-4e16-8c33-fe15058d2a9a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Writing radmc3d/radmc3d.inp.....done.\n", "Writing radmc3d/stars.inp.....done.\n", "Writing radmc3d/wavelength_micron.inp.....done.\n", "Writing radmc3d/amr_grid.inp.....done.\n", "Writing radmc3d/dust_density.inp.....done.\n", "Writing radmc3d/dust_temperature.dat.....done.\n", "Writing radmc3d/dustopac.inp.....done.\n", "\n", "Computing opacities...\n", "Using dsharp_opac. Please cite Birnstiel et al. (2018).\n", "Using DSHARP mix. Please cite Birnstiel et al. (2018).\n", "Please cite Warren & Brandt (2008) when using these optical constants\n", "Please cite Draine 2003 when using these optical constants\n", "Reading opacities from troilitek\n", "Please cite Henning & Stognienko (1996) when using these optical constants\n", "Reading opacities from organicsk\n", "Please cite Henning & Stognienko (1996) when using these optical constants\n", "| material | volume fractions | mass fractions |\n", "|-------------------------------------|------------------|----------------|\n", "| Water Ice (Warren & Brandt 2008) | 0.3642 | 0.2 |\n", "| Astronomical Silicates (Draine 2003)| 0.167 | 0.329 |\n", "| Troilite (Henning) | 0.02578 | 0.07434 |\n", "| Organics (Henning) | 0.443 | 0.3966 |\n", "Mie ... Done!\n", "\n", "Writing radmc3d/dustkapscatmat_00.inp.....done.\n", "Writing radmc3d/dustkapscatmat_01.inp....." ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/birnstiel/pixi/base/.pixi/envs/dustpy/lib/python3.12/site-packages/dsharp_opac/dsharp_opac.py:2885: RuntimeWarning: invalid value encountered in scalar divide\n", " g[grain, i] = -2 * np.pi * \\\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "done.\n", "Writing radmc3d/dustkapscatmat_02.inp.....done.\n", "Writing radmc3d/dustkapscatmat_03.inp.....done.\n", "Writing radmc3d/dustkapscatmat_04.inp.....done.\n", "Writing radmc3d/dustkapscatmat_05.inp.....done.\n", "Writing radmc3d/dustkapscatmat_06.inp.....done.\n", "Writing radmc3d/dustkapscatmat_07.inp.....done.\n", "Writing radmc3d/dustkapscatmat_08.inp.....done.\n", "Writing radmc3d/dustkapscatmat_09.inp.....done.\n", "Writing radmc3d/dustkapscatmat_10.inp.....done.\n", "Writing radmc3d/dustkapscatmat_11.inp.....done.\n", "Writing radmc3d/dustkapscatmat_12.inp.....done.\n", "Writing radmc3d/dustkapscatmat_13.inp.....done.\n", "Writing radmc3d/dustkapscatmat_14.inp.....done.\n", "Writing radmc3d/dustkapscatmat_15.inp.....done.\n", "\n", "Writing radmc3d/metadata.npz.....done.\n" ] } ], "source": [ "plt.rcParams[\"figure.dpi\"] = 150.\n", "rt = radmc3d.Model(data)\n", "rt.phii_grid = np.array([0., 2.*np.pi])\n", "rt.ai_grid = np.geomspace(rt.a_dust_.min(), 1., 17)\n", "rt.radmc3d_options[\"nphot\"] = 500_000\n", "rt.radmc3d_options[\"nphot_scat\"] = 500_000\n", "rt.radmc3d_options[\"nphot_spec\"] = 10_000\n", "rt.radmc3d_options[\"mc_scat_maxtauabs\"] = 5.\n", "rt.radmc3d_options[\"dust_2daniso_nphi\"] = 60\n", "rt.datadir = \"radmc3d\"\n", "rt.write_files()\n", "img_name = \"radmc3d/image_radio.out\"" ] }, { "cell_type": "markdown", "id": "7421382e-1242-4015-b207-e8fd1b3b6905", "metadata": {}, "source": [ "Run these to compute/rename the image file if you want to re-recreate it" ] }, { "cell_type": "markdown", "id": "6d3c5445-b298-44f1-ad80-090960d8e482", "metadata": {}, "source": [ " !cd {rt.datadir} && radmc3d image lambda 1300 sizeau 100 npixx 512 npixy 512 setthreads 8\n", " !mv {Path(rt.datadir) / 'image.out'} {img_name}" ] }, { "cell_type": "code", "execution_count": 4, "id": "5c79c1c5-92fa-4746-8580-65e65bef1f41", "metadata": {}, "outputs": [], "source": [ "image_radio = radmc3d.read_image(img_name)" ] }, { "cell_type": "markdown", "id": "89f434f3-0dc8-48c8-a1ad-4c3ddabfd768", "metadata": {}, "source": [ "### Plot the RADMC3D Image" ] }, { "cell_type": "code", "execution_count": 5, "id": "ea4253ad-4386-41fa-8837-d9a66b650efd", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y = image_radio[\"x\"] / c.au, image_radio[\"y\"] / c.au\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "ax.set_aspect(1)\n", "pcm = ax.pcolormesh(\n", " x, y, image_radio[\"I\"][..., 0].T,\n", " cmap=\"inferno\", vmin=0, vmax=image_radio['I'].max())\n", "ax.set(xlabel=r\"$X\\,\\left[\\mathrm{au}\\right]$\", ylabel=r\"$Y\\,\\left[\\mathrm{au}\\right]$\")\n", "\n", "pos = ax.get_position()\n", "cbar = fig.colorbar(pcm, cax=fig.add_axes([1.02 * pos.x1, pos.y0, 0.02, pos.y1 - pos.y0]))\n", "cbar.set_label(r\"Intensity [erg/s/cm²/Hz/ster]\")" ] }, { "cell_type": "markdown", "id": "59078cd7-6849-44a0-b99b-079252a1719d", "metadata": {}, "source": [ "### Compute the radial profile" ] }, { "cell_type": "code", "execution_count": 6, "id": "8293e759", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import binned_statistic\n", "X, Y = np.meshgrid(image_radio['x'], image_radio['y'], indexing='ij')\n", "R = np.sqrt(X**2 + Y**2)\n", "# define the bins\n", "ri_bins = np.geomspace(np.abs(R).min(), R.max(), 100)\n", "r_bins = 0.5 * (ri_bins[1:] + ri_bins[:-1])\n", "# get the averaged intensity profile\n", "profile = binned_statistic(R.ravel(), image_radio['I'][...,0].ravel(), bins=ri_bins).statistic" ] }, { "cell_type": "markdown", "id": "a9a9c5b8-400c-4350-8082-3140646bd8f2", "metadata": {}, "source": [ "## Use the Slab Model" ] }, { "cell_type": "code", "execution_count": 7, "id": "ed152293-5d22-447f-8feb-716f907017e2", "metadata": {}, "outputs": [], "source": [ "from dustpylib.radtrans import slab\n", "\n", "if rt.opacity == 'birnstiel2018':\n", " opacity_file = 'default_opacities_smooth.npz'\n", "else:\n", " opacity_file = None\n", "\n", "opac = slab.Opacity(opacity_file)\n", "lam = image_radio['lambda']\n", "\n", "obs = slab.get_all_observables(data, opac, lam)" ] }, { "cell_type": "code", "execution_count": 8, "id": "1c84632d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots()\n", "ax.loglog(data.grid.r / c.au, obs.I_nu[0, :] * slab.slab.jy_sas, label='slab model')\n", "ax.loglog(r_bins / c.au, profile, label='RADMC3D')\n", "ax.set(ylim=[1e-15, 1e-11], xlim=[1, 200], xlabel='Radius [au]', ylabel='Intensity [erg / (s cm$^2$ Hz sr)]')\n", "ax.legend();" ] } ], "metadata": { "kernelspec": { "display_name": "Pixi-dustpy", "language": "python", "name": "pixi-dustpy" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 5 }