{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to identify time-variable background noise (\"rolling bands\")?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the previous tutorial we looked at making custom apertures to check planet signals. In this tutorial we will use the same technique to find variable background (such as rolling band signal) in Kepler data.\n", "\n", "The background flux level of Kepler pixel data is not static. In particular, certain CCD channels occasionally experience the 'rolling band' effect, where the background has a strong time varying component of a 'band' moving up the detector. You can read more about rolling band in the [Kepler Instrument Handbook](https://archive.stsci.edu/kepler/manuals/KSCI-19033-001.pdf). An example of the rolling band artifact is shown in the video below. You can see the band move through the superstamp at the 2 second mark, leaving the bottom of the screen at the 6 second mark." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](rollingband.gif)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rolling band artifact is small, up to about 20 counts per pixel. However, this can add up for large apertures containing many pixels or for faint, quiet targets.\n", "\n", "Rolling band can often add spurious signals into your data which look like real astrophysical variability. The best way to spot rolling band is to vary your aperture size. If the signal strength increases as you increase the number of background pixels in the aperture, the effect is likely to be an additive background component.\n", "\n", "Below we will show you how to check for rolling band. First let's import `lightkurve` and download a target." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import KeplerTargetPixelFile, KeplerLightCurveFile\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found 1 File(s)\n", "INFO: Found cached file ./mastDownload/Kepler/kplr007691027_lc_Q011111111111111111/kplr007691027-2013098041711_lpd-targ.fits.gz with expected size 1232623. [astroquery.query]\n" ] } ], "source": [ "tpf = KeplerTargetPixelFile.from_archive('7691027', quarter=16)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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i4nLXutnZ2QCAfv36AQA8PDxQVlaGzMxMsU5aWhpUKhXc3d21E7AE7OEhIiLS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\nkgzYSZJU1NoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=tpf.pipeline_mask);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks like a fairly normal Target Pixel File. Let's take a look at the light curve." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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eL6RSadhrBg0ahIyMDFRWVqKwsBA5OTnw+XywWCxhrUqNjY0sryknJyci0gwE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\npSn2KBERERElwUSJiIiIKAkmS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BBCRCIRkZWVJV588UUhhBC/+MUvxPDhw0UkEkl6zrfe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\nJSIiIqIk/h9MV0U1SeVgNgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)\n", "\n", "ax = lc.remove_outliers().plot(normalize=False, alpha=0.1)\n", "ax.set_title('Flux in Pipeline Aperture')\n", "\n", "ann = ax.annotate(\"Stellar rotation?\",\n", " xy=(1552, 4460), xycoords='data',\n", " xytext=(1540, 4500), textcoords='data',\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3, rad=-0.2\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like there are some features at around 1540 days that could be due to rotation in the star. But this could also be due to rolling band. Let's change the aperture of the target pixel file to **only include background pixels** and see if this signal is still present." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Pi5u0zZ07FwBaPJsIAMzMzGBjY9PqeteuXYuQkBDMmzcPALB582b88MMP2LJlC5YsWdLq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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aperture = tpf.flux[0]<200\n", "npix = len(np.where(aperture == True)[0])\n", "tpf.plot(aperture_mask=aperture)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mask avoids the center pixels. Let's create a light curve the same way as above. However, this time we're going to divide by the number of pixels in the aperture to give the the **average background flux per pixel.**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BYRiGYZgmQVEUdHV1weVyTVtdGr/fD7/f35CiRgtbcBiGYRhmiiGXUT6fRzgc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f8qHA4jHo9PbJOr1mw2i3K5LFUk86TIVLDyjHqWZSMWi6FWqyEej0/tYr2IUHeaKR7JSq/Xczw3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\nHlu3boVer/c6rrXkZcGCBZg1a1a72zR9+nR88MEH2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bkg_lc = tpf.to_lightcurve(aperture_mask=aperture)\n", "bkg_lc /= npix # Convert to electrons per second per pixel\n", "\n", "ax = bkg_lc.remove_outliers().plot(normalize=False, alpha=0.1)\n", "ax.set_title('Average Flux Per Background Pixel')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the signal is still there in the background pixels. Unfortunately this means the signal is not astrophysical." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can perform another test by looking at the background in a nearby source. Using the `from_archive` function we can get the nearest neighbor to our target. We first set a search radius in arcseconds and a limit on the number of targets to return. In this case we only want our target and the nearest neighbour within 60 arcseconds, so we'll set `radius` to 60 and `targetlimit` to 2 targets." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found 2 File(s)\n", "INFO: Found cached file ./mastDownload/Kepler/kplr007691027_lc_Q011111111111111111/kplr007691027-2013098041711_lpd-targ.fits.gz with expected size 1232623. [astroquery.query]\n", "Downloading URL https://mast.stsci.edu/api/v0/download/file?uri=mast:Kepler/url/missions/kepler/target_pixel_files/0076/007691061/kplr007691061-2013098041711_lpd-targ.fits.gz to ./mastDownload/Kepler/kplr007691061_lc_Q011111111111111111/kplr007691061-2013098041711_lpd-targ.fits.gz ... [Done]\n" ] } ], "source": [ "tpfs = KeplerTargetPixelFile.from_archive('7691027', quarter=16, radius=60, targetlimit=2)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[KeplerTargetPixelFile Object (ID: 7691027),\n", " KeplerTargetPixelFile Object (ID: 7691061)]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpfs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see that `tpfs` is a list of `KeplerTargetPixelFile` objects. There are two different object IDs, our target and the nearest neighbour." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's double check that these target pixel files are close to each other" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TPFS are 9.5 Pixels Apart\n" ] } ], "source": [ "separation = np.sqrt((tpfs[0].column - tpfs[1].column)**2 + (tpfs[0].row - tpfs[1].row)**2)\n", "print('TPFS are {:.02} Pixels Apart'.format(separation))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since these are files are very close on the focal plane, we would expect them to experience similar levels of background. We can now perform the same test as above and look at the background flux averaged over all the background pixels. We'll do this inside a for loop and follow the same steps:\n", "* Build the aperture\n", "* Create the light curve (`KeplerLightCurve` object)\n", "* Plot the light curve" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/gb/bin/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in less\n", " after removing the cwd from sys.path.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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48sorWb5cJ1Tu6uribW97GyLCNddcg2VZjI6OsmzZMj7/+c/P6MeGDRtO2PaqVas4cuQI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for t in tpfs:\n", " # Construct a background aperture\n", " aper = t.flux[0] < 200\n", " npix = len(np.where(aper == True)[0])\n", " \n", " # Create a lightcurve\n", " bkg_lc = t.to_lightcurve(aperture_mask=aper)\n", " bkg_lc /= npix # Don't forget to normalize by the number of pixels in the aperture!\n", "\n", " # Plot the result\n", " bkg_lc = bkg_lc.remove_outliers()\n", " bkg_lc.plot(ax=ax, normalize=False, alpha=0.3, label=t.keplerid)\n", "\n", "ax.set_title('Average Flux Per Background Pixel')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like a nearby source shows quite similar background variation. This suggests that unfortunately the signal is rolling band. Mitigating rolling band can be difficult, and we'll discuss corrections in a different tutorial." ] } ], "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 }