{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Marvin Science Case Exercise\n", "## Create a WHAN diagram\n", "\n", "The Width of Halpha versus NII (WHAN) diagram (Cid Fernández et al. 2011, http://adsabs.harvard.edu/abs/2011MNRAS.413.1687C) can be used to classify galaxies as star-forming or quenched. Using only information of two emissions lines (H-alpha equivalent width and NII flux, both available in the DAP), it is very useful for classifying galaxies that cannot be classified using BPT diagrams due to absent absorption lines.\n", "\n", "One of the main advantages of this diagram is that you can distinguish two populations within the LI(N)ER classification in BPT: galaxies hosting a weak AGN and what they refer in the paper as ''retired galaxies'' (galaxies that are not forming stars but are ionized by hot low-mass evolved stars). So the WHAN diagram allows for the identification of galaxies in which the heating of their ionised gas is the result of old stars, rather than star formation or AGN activity.\n", "\n", "Five classes of galaxies are identified within the WHAN diagram:\n", "- Pure star forming galaxies: log[N ii]/Hα < −0.4 and WHα > 3 Å\n", "- Strong AGN (i.e., Seyferts): log[N ii]/Hα > −0.4 and WHα > 6 Å\n", "- Weak AGN: log[N ii]/Hα > −0.4 and WHα between 3 and 6 Å\n", "- Retired galaxies (i.e., fake AGN): WHα < 3 Å\n", "- Passive galaxies (actually, line-less galaxies): WHα and W[N ii] < 0.5 Å\n", "\n", "### Using the Marvin web Image Roulette page, choose a galaxy that is visually interesting. Refresh the page to generate a new set of images \n", "\n", "### Use the Marvin tools and utilities available to create a WHAN diagram for a MaNGA galaxy. Using Marvin, create a custom galaxy map using your spaxel WHAN classificiations. \n", "\n", "### Compare and contrast the WHAN diagrams to the galaxy's BPT diagram. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib import colors\n", "import numpy as np\n", "\n", "from marvin.tools.maps import Maps\n", "\n", "# import Marvin plot map utility function\n", "import marvin.utils.plot.map as mapplot\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# select a galaxy\n", "plateifu = '8485-1901'\n", "\n", "# instanstiate a Marvin maps\n", "maps = Maps(plateifu=plateifu)\n", "\n", "# grab the NII/Ha flux ratio, Ha and NII equivalent width arrays\n", "niiha = maps.emline_gflux_nii_6585/maps.emline_gflux_ha_6564\n", "ewha = maps['emline_sew_ha_6564']\n", "ewnii = maps['emline_sew_nii_6585']\n", "\n", "# take the log of the NII/Ha ratio\n", "logniiha = np.log10(niiha.value)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# create the WHAN categories\n", "psf = (logniiha < -0.4) & (ewha.value > 3)\n", "sagn = (logniiha > -0.4) & (ewha.value > 6)\n", "wagn = (logniiha > -0.4) & ((ewha.value > 3) & (ewha.value < 6))\n", "rg = ewha.value < 3\n", "pg = (ewha.value < 0.5) & (ewnii.value < 0.5) " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# create a custom array for a WHAN categories (we copy the EW Ha array just to get a 2d-array of the original size)\n", "value = ewha.value.copy()\n", "value[psf] = 1 # pure star-forming \n", "value[sagn] = 2 # strong agn\n", "value[wagn] = 3 # weak agn\n", "value[rg] = 4 # retired galaxies\n", "value[pg] = 5 # passive galaxies\n", "\n", "# Set ivar to 0 where the SNR < 1\n", "niiha_low_snr = mapplot.mask_low_snr(niiha.value, niiha.ivar, snr_min=1)\n", "ewha_low_snr = mapplot.mask_low_snr(ewha.value, ewha.ivar, snr_min=1)\n", "ewnii_low_snr = mapplot.mask_low_snr(ewnii.value, ewnii.ivar, snr_min=1)\n", "low_snr = np.logical_or(niiha_low_snr, ewha_low_snr, ewnii_low_snr)\n", "\n", "ivar = ewha.value.copy()\n", "ivar[low_snr] = 0\n", "\n", "nocov = ewha.pixmask.get_mask('NOCOV')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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8v/32Gz179jTYh/79+xMZGVmgffTo0TRv3pyoqCgyMzOLfWxGVfkXLlxI06ZN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\n7EP9NOBtAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9RDy8ZbE3pcjZvWyzcctSOhOvq2d3BQLrY/jiZ2x3u7Mpmatru4RofePtNWuf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aWr8x4OC8vSPLFqWUL1p+zCeW6hSagYuTVWQnXYJ6IXh/TnEGFq/T9qMLqVh0WCkGy+vI9pH7r7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\nxSLx3mV+iZZgEn/rR2622ey7Uynu0tTm2FONWMIc247PTfLQrt3wQFprJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a custom colormap\n", "cmap = colors.ListedColormap(['red', 'blue', 'goldenrod', 'green', 'purple'])\n", "\n", "# use Marvin plotting to plot our WHAN diagram\n", "fig, ax, cb = mapplot.plot(value=value, ivar=ivar, mask=nocov, cmap=cmap, use_masks='NOCOV', return_cb=True, cbrange=(0.5, 5.5),\n", " title='WHAN Diagram {}'.format(plateifu))\n", "\n", "\n", "# Set the custom colorbar axis values\n", "cb.set_ticks([1, 2, 3, 4, 5])\n", "cb.set_ticklabels(['PSF', 'SAGN', 'WAGN', 'RG', 'PG'])\n", "\n", "# plot the figure\n", "plt.show()\n", "\n", "# let's also show the optical image\n", "from marvin.utils.general.images import showImage\n", "image = showImage(plateifu=plateifu, show_image=False)\n", "img = plt.imshow(image)\n", "plt.title(str(plateifu))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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cWUkrbbRkMgV+flmS7CPh3ty/L7Bli5Jjx2Jd7YqEjZw//xtnz/5K+/adqFq1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\n4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compare with the BPT diagram for this galaxy\n", "mask, fig, axes = maps.get_bpt()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }