{ "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": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3561, 8, 8)" ] }, "execution_count": 1, "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": 2, "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": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "63" ] }, "execution_count": 3, "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": 4, "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": 5, "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": 6, "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": 7, "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": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(48, 15)" ] }, "execution_count": 8, "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": 9, "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": 10, "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": 11, "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": 12, "metadata": {}, "outputs": [], "source": [ "lc_net = lc_net[~spurious_cadences]" ] }, { "cell_type": "code", "execution_count": 13, "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": 14, "metadata": {}, "outputs": [], "source": [ "lc_corr = lc_net.correct(restore_trend=True)" ] }, { "cell_type": "code", "execution_count": 15, "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }