{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced Fishing\n", "\n", "This Notebook goes through some of the slightly more advanced tasks which can be performed with `GoFish`. As with the previous Notebook we will be using the [CS (3-2) data from TW Hya](https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/LO2QZM). Make sure that cube is accessible when running this Notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from gofish import imagecube" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "cube = imagecube('TWHya_CS_32.fits', FOV=6.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Checking Disk Center\n", "\n", "If you don't have a strong line detection, it's hard to make sure that your image is centered. We can use the `find_center` function to apply a brute force approach to finding the optimum location. This will cycle through a grid of `x0` and `y0` values and calculate the signal-to-noise ratio (SNR) of the resulting spectrum averaged over the provided parameters.\n", "\n", "We can set the offset in the x- and y-direction considered, `dx` and `dy`, respectively, as well as the number of samples along each axis, `Nx` and `Ny`. By default we search up to a distance of the beam FWHM, sampling roughly every pixel.\n", "\n", "We must also then consider how to calculate the noise, either on the averaged spectrum, `spectrum='avg'`, or on the integrated spectrum, `spectrum='int'`, and then whether to consider the signal the peak of that spectrum, `SNR='peak'`, or the integrated value, `SNR='int'`. By default we use the peak flux density of the averaged spectrum.\n", "\n", "A mask is also needed, defining the regions where we calculate the signal, and the regions where to calculate the noise (we use the standard deviation of the masked pixels). By default the mask assumes the line emission is in the center 20\\% of the channels.\n", "\n", "If you want to mask a specific range, you can use the `v_min` and `v_max` values. If your line profile is more complex, for example contains multiple transitions, you can include a user defined masked directly with the `mask` argument. Make sure that this is the same size as your expected velocity axis based on the `resample` parameter.\n", "\n", "Note that this may take a while, particularly if you're searching a large area!" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Peak SNR at (x0, y0) = (-0.06\", -0.02\").\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x0s, y0s, SNR = cube.find_center(dx=0.1, dy=0.1, r_min=0.5, r_max=1.0,\n", " v_min=1.84e3, v_max=3.84e3,\n", " SNR='peak', inc=5.0, PA=152., mstar=0.88,\n", " dist=59.5, resample=50.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's plotted here is the SNR relative to the value at the image center, and in the bottom left corner, the synthesized beam as a size reference. This makes sense as the image was centered based on continuum." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly the offset spectrum looks a lot better, as expected!\n", "\n", "## Masking Regions\n", "\n", "As demonstrated in [Yen et al. (2016)](https://ui.adsabs.harvard.edu/abs/2016ApJ...832..204Y), this method can be applied to specfic sections of the disk, i.e. you do not have to consider the disk as a whole.\n", "\n", "We've already seen the `r_min` and `r_max` values used in `average_spectrum` and `integrated_spectrum` which set the inner and outer radii of the annuli. But we also have `PA_min` and `PA_max`, which allow for similar masks in the azimuthal direction. The are provided in degrees, where $\\theta = 0$ aligns with the red-shifted major axis of the disk, and increasing in an eastwards direction, spanning $\\pm 180^{\\circ}$. Thus, to only consider the red-shifted side of the disk, we use `PA_min=-90.0` and `PA_max=90.0`.\n", "\n", "Because of the change in sign, we can access the other half of the disk through the `exclude_PA=True`, which by default is `False`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 4, "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()\n", "\n", "x, y, dy = cube.average_spectrum(r_min=0.5, r_max=1.5, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, resample=50.0,\n", " PA_min=-90.0, PA_max=90.0, exclude_PA=False)\n", "\n", "ax.errorbar(x, y, dy, fmt=' ', lw=1.0, color='k', capsize=1.25, capthick=1.25)\n", "ax.step(x, y, where='mid', color='k', lw=1.0, label='south east side')\n", "\n", "x, y, dy = cube.average_spectrum(r_min=0.5, r_max=1.5, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, resample=50.0,\n", " PA_min=-90.0, PA_max=90.0, exclude_PA=True)\n", "\n", "ax.errorbar(x, y, dy, fmt=' ', lw=1.0, color='r', capsize=1.25, capthick=1.25)\n", "ax.step(x, y, where='mid', color='r', lw=1.0, label='north west side')\n", "\n", "ax.legend(markerfirst=False)\n", "ax.set_ylabel('Flux Density (Jy/beam)')\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that there is some slight shift between the two lines because of beam convolution effects." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Shifted Cube\n", "\n", "More details coming." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "shifted = cube.shifted_cube(inc=5.0, PA=152., mstar=0.88, dist=59.5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(ncols=5, figsize=(10, 2))\n", "\n", "v0 = abs(cube.velax - 2.84e3).argmin()\n", "for a, ax in enumerate(axs):\n", " idx = a * 3 + v0 - 6\n", " data = np.nanmean(cube.data[idx-1:idx+2], axis=0)\n", " ax.imshow(data, origin='lower', extent=cube.extent, vmin=-0.005, vmax=0.05, cmap='jet')\n", " if a > 0:\n", " ax.set_yticklabels([])\n", " else:\n", " ax.set_ylabel('Offset (arcsec)')\n", " ax.set_xlabel('Offset (arcsec)')\n", " ax.set_title('{:.2f} km/s'.format(cube.velax[idx] / 1e3), fontsize=9)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(ncols=5, figsize=(10, 2))\n", "\n", "v0 = abs(cube.velax - 2.84e3).argmin()\n", "for a, ax in enumerate(axs):\n", " idx = a * 3 + v0 - 6\n", " data = np.nanmean(shifted[idx-1:idx+2], axis=0)\n", " ax.imshow(data, origin='lower', extent=cube.extent, vmin=-0.005, vmax=0.05, cmap='jet')\n", " if a > 0:\n", " ax.set_yticklabels([])\n", " else:\n", " ax.set_ylabel('Offset (arcsec)')\n", " ax.set_xlabel('Offset (arcsec)')\n", " ax.set_title('{:.2f} km/s'.format(cube.velax[idx] / 1e3), fontsize=9)" ] } ], "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 }