{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to make a supernova lightcurve?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `lightkurve` to extract a lightcurve of transient phenomena, including supernovae. Supernovae data analysis presents a few unique challenges compared to data analysis of isolated point sources. We can anticipate some of the common limitations of the Kepler pipeline-processed lightcurves, which make no attempt to hone-in on supernovae. For example, the supernova resides in a host galaxy which may itself be time variable due to, *e.g.*, active galactic nuclei (AGN). Common detrending methods, such as \"Self Flat Fielding\" ([SFF](https://archive.stsci.edu/prepds/k2sff/)) assume that centroid shifts are due entirely to undesired motion of the spacecraft, while transients induce bona-fide astrophysical centroid motion as the postage-stamp photocenter gets weighted towards the increasingly luminous transient's photocenter. \n", "\n", "In this tutorial we will custom-make a custom supernova lightcurve with these simple steps:\n", "\n", "1. Create an appropriate aperture mask to isolate the transient from its host galaxy\n", "2. Extract aperture photometry of both the supernova and the background attributable to the host galaxy \n", "3. Apply \"Self Flat Fielding\" (SFF) detrending techniques \n", "4. Plot the lightcurve\n", "\n", "We will focus on an unusual class of transient recently observed in K2, the so-called *Fast-Evolving Luminous Transients* or **FELT**s. These transients rise and fall within a mere few days, much shorter than conventional supernovae, which can last hundreds of days. The discovery of **KSN2015k** was recently reported by [Rest et al. 2018](https://www.nature.com/articles/s41550-018-0423-2) and summarized in at least two press releases from [STSci](http://hubblesite.org/news_release/news/2018-18) and [JPL](https://www.jpl.nasa.gov/news/news.php?feature=7086).\n", "\n", "The EPIC ID for `KSN2015k`'s host galaxy is **212593538**. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3561, 8, 8)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from lightkurve import search_targetpixelfile\n", "tpf = search_targetpixelfile(212593538, campaign=6).download()\n", "tpf.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TPF has 3561 useable cadences, with an $8 \\times 8$ postage stamp image." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(frame=100);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coarse angular resolution of Kepler means that this host galaxy resembles a pixelated blob. We're showing frame 100 out of 3561 frames-- we do not presently know when the supernova went off so it's hard to say whether there is a supernova in the image or not.\n", "\n", "One of the pixels is white, which represents `NaN` values in the color image. In fact, this pixel within the $8 \\times 8$ square postage stamp image boundary is `NaN` in all 3561 cadences, indicating that this TPF has an irregular boundary with $N_{\\rm pix} = 63$. Irregular boundaries are a common space-saving strategy for the distant Kepler telescope." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "63" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postage_stamp_mask = tpf.hdu[2].data > 0\n", "postage_stamp_mask.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a lightcurve summing *all of the pixels* to see if we can pick out the FELT *by-eye*. We will pre-process the lightcurve to remove sharp discontinuities in the time series that arise from spurious cosmic rays, not our astrophysical transient of interest." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "lc_raw = tpf.to_lightcurve(aperture_mask='all')\n", "_, spurious_cadences = lc_raw.flatten().remove_outliers(return_mask=True)\n", "lc_clean = lc_raw[~spurious_cadences]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_clean.errorbar(alpha=0.5, normalize=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Voilà**! We indeed see what looks like a sharply-rising phenomenon at $t = 2400-2415$ days, distinct from the smoothly-varying background, which could arise from either instrumental artifacts or host-galaxy. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's identify where the FELT was located within the host galaxy and its K2 postage stamp. We can either visually inspect the lightcurve with [interact](http://lightkurve.keplerscience.org/tutorials/1.05-interact-with-lightcurves-and-tpf.html) to look for the position of the explosion, or we can programmatically select cadences to estimate a difference image. I used `interact` with a fine-tuned screen-stretch to see that the FELT appears near pixel column 830, row 231. Furthermore, it looks like the flux drops off significantly in the first and last columns." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "#tpf.interact(lc=lc_clean)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have our aperture and background masks, we can estimate the net flux $f_{\\rm net}$ as:\n", "\n", "$f_{\\rm net}(t) = f_{\\rm aper}(t) - f_{\\rm b}(t) \\cdot N_{\\rm aper}$\n", "\n", "where $f_{\\rm aper}$ is the total summed flux in an aperture of size $N_{\\rm aper}$ pixels, and $f_{b}$ is our estimate for the (spatially-flat) background level per pixel, in each cadence." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "aperture_mask = postage_stamp_mask.copy()\n", "aperture_mask[:,-1] = False\n", "aperture_mask[:,0] = False\n", "background_mask = ~aperture_mask & postage_stamp_mask" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(48, 15)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N_targ_pixels, N_back_pixels = aperture_mask.sum(), background_mask.sum()\n", "N_targ_pixels, N_back_pixels" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=aperture_mask);\n", "tpf.plot(aperture_mask=background_mask);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Checks out. Let's apply the equation above:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "lc_aper = tpf.to_lightcurve(aperture_mask=aperture_mask) \n", "lc_back_per_pixel = tpf.to_lightcurve(aperture_mask=background_mask) / N_back_pixels" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "lc_net = lc_aper - lc_back_per_pixel.flux * N_targ_pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Drop the previously-identified spurious cadences." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "lc_net = lc_net[~spurious_cadences]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_net.errorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much better! We no longer see the instrumentally-induced background wiggles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I can see lots of spacecraft motion jittering the postage stamp image back-and-forth, a common instrumental artifact in K2 data. Let's attempt to mitigate the spacecraft motion with the SFF algorithm, knowing that it might delete some of the astrophysical signal of interest." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "lc_corr = lc_net.correct(restore_trend=True)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc_net.errorbar(color='red', alpha=0.5, label='With Motion')\n", "ax = lc_corr.errorbar(ax=ax, color='blue', alpha=0.5, label='Motion Corrected');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The SFF method appears to do virtually nothing at all! There are probably two primary reasons-- Our large aperture has captured all of the FELT + host galaxy flux, so the jitter motion has been subdued to the point where SFF has little or no constraining power. A second effect is that large extended objects compensate for flux loss with equal parts of flux gain: flux from the right of the boundary enters when flux from the left exits. This effect subdues the common jig-saw pattern attributable to flux overflowing the pixel mask.\n", "\n", "It's conceivable---and likely--- that fine tuning the SFF parameters and pixel mask size would result in a higher signal-to-noise ratio lightcurve. We are presently accepting lots of *variance* for the purpose of limiting *bias*." ] } ], "metadata": { "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }