{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Searching For (Sub-)Structure in Disks\n", "\n", "There is a wealth of information that is hidden in the line emission. While `GoFish` is useful for teasing our low level emission from noisy data, we can also harness the velocity structure to tease out subtle deivations in the background physical or dynamical structure.\n", "\n", "This notebook will guide you through a few ways you can explore the data a little futher. It'll use the zeroth moment map of the CS data we've worked with in the Masking Tutorial." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "if not os.path.exists('TWHya_CS_32_M0.fits'):\n", " !wget -O TWHya_CS_32_M0.fits -q https://dataverse.harvard.edu/api/access/datafile/:persistentId?persistentId=doi:10.7910/DVN/LO2QZM/NYVZKS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the Data\n", "\n", "The first port of call is to inspect the data, so let's load it up." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from gofish import imagecube\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Provided cube is only 2D. Shifting not available.\n" ] } ], "source": [ "cube = imagecube('TWHya_CS_32_M0.fits', FOV=10.0)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(constrained_layout=True)\n", "im = ax.imshow(cube.data, origin='lower', extent=cube.extent, cmap='inferno')\n", "cb = plt.colorbar(im, pad=0.02)\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')\n", "cb.set_label('Integrated Intensity (Jy/beam m/s)', rotation=270, labelpad=13)\n", "cube.plot_beam(ax=ax, color='w')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n" ] } ], "source": [ "x, y, dy = cube.radial_profile(inc=5.0, PA=151.0)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Integrated Intensity (Jy/beam m/s)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(constrained_layout=True)\n", "ax.errorbar(x, y, dy)\n", "ax.set_yscale('log')\n", "ax.set_xlabel('Radius (arcsec)')\n", "ax.set_ylabel('Integrated Intensity (Jy/beam m/s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can clearly see bumps and wiggles associated with the gaps and rings in the system." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Localized Deviations\n", "\n", "One of the most exciting ideas for causing gaps and rings are embedded planets. [Cleeves et al. (2015)](https://ui.adsabs.harvard.edu/abs/2015ApJ...807....2C/abstract) suggested that a way to find these features is to subtract a mean background to reveal localized enhancements in emission which can be associated with embedded planets.\n", "\n", "To do this, we can use the `background_residual` function. In brief, this function makes an azimuthally averaged radial profile of the data (as we have done above), then projects it onto the sky to make a mean background model which is subtracted from the data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n" ] } ], "source": [ "residual = cube.background_residual(inc=5.0, PA=151.0)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(constrained_layout=True)\n", "im = ax.imshow(residual, origin='lower', extent=cube.extent, cmap='RdGy_r', vmin=-4, vmax=4)\n", "cb = plt.colorbar(im, pad=0.02, ticks=np.arange(-4, 5, 2))\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')\n", "cb.set_label('Resdiual (Jy/beam m/s)', rotation=270, labelpad=13)\n", "cube.plot_beam(ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly this looks just looks like noise, but we'll need to try and find better data.\n", "\n", "Regions outside the interpolation range are set to `np.nan`, however this can be changed with the inclusion of `interp1d_kw=dict(fill_value=0.0)` which will set all filled values to 0 (or any value you wish).\n", "\n", "Sometimes it's also useful to visualize the background model too. This can be done by setting `background_only=True` in the call to `background_residual`, as so:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n" ] } ], "source": [ "background = cube.background_residual(inc=5.0, PA=151.0, background_only=True)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(constrained_layout=True)\n", "im = ax.imshow(background, origin='lower', extent=cube.extent, cmap='inferno')\n", "cb = plt.colorbar(im, pad=0.02,)\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')\n", "cb.set_label('Integrated Flux Density (Jy/beam m/s)', rotation=270, labelpad=13)\n", "cube.plot_beam(ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that you can also include the standard `GoFish` masking properties for defining the region you wish to use to make your background model. For example, only the red-shifted side of the disk:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n" ] } ], "source": [ "residual_mask = cube.background_residual(inc=5.0, PA=151.0, PA_min=-90.0, PA_max=90.0)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(constrained_layout=True)\n", "im = ax.imshow(residual, origin='lower', extent=cube.extent, cmap='RdGy_r', vmin=-4, vmax=4)\n", "cb = plt.colorbar(im, pad=0.02, ticks=np.arange(-4, 5, 2))\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')\n", "cb.set_label('Resdiual (Jy/beam m/s)', rotation=270, labelpad=13)\n", "cube.plot_beam(ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, for the broadly azimuthally symmetric TW Hya, this doesn't make a noticable difference." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 2 }