{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Understanding Aperture Photometry & Making Custom Apertures. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning Goals\n", "\n", "In our previous tutorials ([LightCurve Objects](LightCurve-objects.html) and [LightCurveFile Objects](LightCurveFile-Objects.html)) we learned about aperture photometry and the Simple Aperture Photometry (SAP) and Pre-search Data Conditioning SAP (PDCSAP) flux.\n", "\n", "We have not however discussed how these apertures are chosen by the pipeline or how to examine them. \n", "\n", "In this proposal we will cover the following, \n", "- How apertures are defined.\n", "- How can we examine a pre-defined aperture.\n", "- How we can define and modify an aperture and recover the lightcurve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SPOC Apertures\n", "\n", "In aperture photometry A set of pixels in the image are chosen and we sum those to produce a single flux value. \n", "The [SPOC](https://heasarc.gsfc.nasa.gov/docs/tess/pipeline.html) produces an *optimal aperture*, which is used by default in *Lightkurve*, and determined by the [data processing pipeline](https://github.com/nasa/kepler-pipeline). This is the default aperture used by *Lightkurve* and is optimized to ensure that the stellar signal has a high signal to noise ratio, with minimal contamination from the background.\n", "\n", "We sum these same pre-selected pixels for every image at each cadence to produce a light curve.\n", "\n", "There are however, some cases where you might want to produce your own aperture. The field may be crowded, or you may wish to change the aperture size to change the relative contribution of the background. *Lightkurve* offers tools to select pixels programmatically.\n", "\n", "We will show you how to examine the pre-selected aperture and how to modify it if you wish." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports\n", "This tutorial requires:\n", "- **[Lightkurve](https://docs.lightkurve.org)** \n", "- [**Matplotlib**](https://matplotlib.org/) \n", "- [**numpy**](https://numpy.org)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining Terms\n", "\n", "- Target Pixel File (TPF): A file containing the original CCD pixel observations from which light curves are extracted. \n", "\n", "- LightCurve Object: Obtained from a TPF and contains lightcurve information derived using simple aperture photometry.\n", "\n", "- LightCurveFile Object: Obtained from MAST and contains both SAP flux and PSDCSAP flux.\n", "\n", "- Cadence: The rate at which TESS photometric observations are stored. \n", "\n", "- Sector: One of TESS's 27 (to date) observing periods, approximately ~27 days in duration.\n", "\n", "- Simple Aperture Photometry (SAP): The act of summing all pixel values in a pre-defined aperture as a function of time.\n", "\n", "- Pre-search Data Conditioning SAP flux (PDCSAP) flux : SAP flux from which long term trends have been removed using so-called Co-trending Basis Vectors (CBVs). PDCSAP flux is usually cleaner data than the SAP flux and will have fewer systematic trends." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline \n", "import numpy as np\n", "import lightkurve as lk\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Downloading the Data\n", "For this tutorial lets use the [L 98-59 System](https://arxiv.org/pdf/1903.08017.pdf) again, focusing on planet c. First let's search for a TPF for this object." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "SearchResult containing 7 data products.\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
#observationauthortarget_nameproductFilenamedistance
0TESS Sector 2SPOC307210830tess2018234235059-s0002-0000000307210830-0121-s_tp.fits0.0
1TESS Sector 5SPOC307210830tess2018319095959-s0005-0000000307210830-0125-s_tp.fits0.0
2TESS Sector 8SPOC307210830tess2019032160000-s0008-0000000307210830-0136-s_tp.fits0.0
3TESS Sector 9SPOC307210830tess2019058134432-s0009-0000000307210830-0139-s_tp.fits0.0
4TESS Sector 10SPOC307210830tess2019085135100-s0010-0000000307210830-0140-s_tp.fits0.0
5TESS Sector 11SPOC307210830tess2019112060037-s0011-0000000307210830-0143-s_tp.fits0.0
6TESS Sector 12SPOC307210830tess2019140104343-s0012-0000000307210830-0144-s_tp.fits0.0
" ], "text/plain": [ "SearchResult containing 7 data products.\n", "\n", " # observation author target_name productFilename distance\n", "--- -------------- ------ ----------- ------------------------------------------------------- --------\n", " 0 TESS Sector 2 SPOC 307210830 tess2018234235059-s0002-0000000307210830-0121-s_tp.fits 0.0\n", " 1 TESS Sector 5 SPOC 307210830 tess2018319095959-s0005-0000000307210830-0125-s_tp.fits 0.0\n", " 2 TESS Sector 8 SPOC 307210830 tess2019032160000-s0008-0000000307210830-0136-s_tp.fits 0.0\n", " 3 TESS Sector 9 SPOC 307210830 tess2019058134432-s0009-0000000307210830-0139-s_tp.fits 0.0\n", " 4 TESS Sector 10 SPOC 307210830 tess2019085135100-s0010-0000000307210830-0140-s_tp.fits 0.0\n", " 5 TESS Sector 11 SPOC 307210830 tess2019112060037-s0011-0000000307210830-0143-s_tp.fits 0.0\n", " 6 TESS Sector 12 SPOC 307210830 tess2019140104343-s0012-0000000307210830-0144-s_tp.fits 0.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "search_result = lk.search_targetpixelfile('TIC 307210830')\n", "search_result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets pick and download the data for sector 2." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "TessTargetPixelFile(TICID: 307210830)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpf_file = search_result[0].download()\n", "tpf_file" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have a TPF file for our object in sector 2. The optimal aperture is stored in the TPF as the `pipeline_mask` property. We can have a look at it by calling it here:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[False, False, False, False, False, False, False, False, False,\n", " False, False],\n", " [False, False, False, False, False, False, False, False, False,\n", " False, False],\n", " [False, False, False, False, False, False, False, False, False,\n", " False, False],\n", " [False, False, False, False, False, False, False, False, False,\n", " False, False],\n", " [False, False, False, False, False, False, False, False, False,\n", " False, False],\n", " [False, False, False, False, True, True, True, False, False,\n", " False, False],\n", " [False, False, False, False, True, True, True, True, False,\n", " False, False],\n", " [False, False, False, False, True, True, True, True, False,\n", " False, False],\n", " [False, False, False, False, False, True, True, False, False,\n", " False, False],\n", " [False, False, False, False, False, False, False, False, False,\n", " False, False],\n", " [False, False, False, False, False, False, False, False, False,\n", " False, False]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpf_file.pipeline_mask" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, it is a boolean array detailing which pixels are included. We can plot this aperture over the top of our TPF using the `plot()` function, and passing in the mask to the `aperture_mask` keyword." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf_file.plot(aperture_mask=tpf_file.pipeline_mask);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now see the SPOC *optimal* aperture mask overlaid on top of our object of interest." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the provided optimal aperture in `pipeline_mask` and the TPF we can perform simple aperture photometry via the [`extract_aperture_photometry()`](https://docs.lightkurve.org/api/lightkurve.targetpixelfile.TessTargetPixelFile.html#lightkurve.targetpixelfile.TessTargetPixelFile.extract_aperture_photometry) function as shown below," ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "TessLightCurve targetid=307210830 length=18317\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
timefluxflux_errcentroid_colcentroid_rowcadencenoquality
electron / selectron / spixpix
objectfloat32float32float64float64int32int32
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.....................
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1381.509825330956321250.46679687516.277507781982422664.5722297003167339.35132729757531109200
1381.511214199248821236.3554687516.2720890045166664.582152318805339.34521784277111109210
1381.512603067657721265.8398437516.278945922851562664.5729270180528339.3497104930431109220
" ], "text/plain": [ "\n", " time flux flux_err ... cadenceno quality\n", " electron / s electron / s ... \n", " object float32 float32 ... int32 int32 \n", "------------------ --------------- ------------------ ... --------- -------\n", "1354.1088231272427 21566.349609375 16.116119384765625 ... 91191 0\n", "1354.1102119888994 21563.88671875 16.118038177490234 ... 91192 0\n", " 1354.112989712153 21475.162109375 16.089221954345703 ... 91194 0\n", "1354.1143785738097 21583.30859375 16.12527084350586 ... 91195 0\n", "1354.1157674355243 21575.640625 16.121679306030273 ... 91196 0\n", "1354.1171562971804 21563.1015625 16.115528106689453 ... 91197 0\n", "1354.1185451588947 21552.935546875 16.112627029418945 ... 91198 0\n", "1354.1199340205515 21532.90234375 16.10567855834961 ... 91199 0\n", "1354.1213228822667 21533.828125 16.105731964111328 ... 91200 0\n", " ... ... ... ... ... ...\n", "1381.5001032523294 21262.494140625 16.291688919067383 ... 110913 0\n", "1381.5014921207378 21289.828125 16.302898406982422 ... 110914 0\n", "1381.5028809891458 21266.3515625 16.29288673400879 ... 110915 0\n", "1381.5042698574382 21234.845703125 16.279603958129883 ... 110916 0\n", "1381.5056587258466 21244.953125 16.281909942626953 ... 110917 0\n", "1381.5070475942555 21210.7578125 16.267162322998047 ... 110918 0\n", " 1381.508436462548 21231.01171875 16.27315330505371 ... 110919 0\n", "1381.5098253309563 21250.466796875 16.277507781982422 ... 110920 0\n", "1381.5112141992488 21236.35546875 16.2720890045166 ... 110921 0\n", "1381.5126030676577 21265.83984375 16.278945922851562 ... 110922 0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lc = tpf_file.extract_aperture_photometry()\n", "lc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same result can also be obtained via, \n", "```\n", "lc = tpf_file.to_lightcurve(aperture_mask=tpf_file.pipeline_mask)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating your own masks\n", "\n", "You don't necessarily have to pass in the `pipeline_mask` to the `plot()` function, it can be any mask you choose yourself, provided it is the right shape. We will now explain how to adjust this mask using the [`create_threshold_mask`](https://docs.lightkurve.org/api/lightkurve.targetpixelfile.TessTargetPixelFile.html?highlight=create_threshold_mask#lightkurve.targetpixelfile.TessTargetPixelFile.create_threshold_mask) function. This method will identify the pixels in the TPF which show a median flux that is brighter than threshold times the standard deviation above the overall median. The standard deviation is estimated in a robust way by multiplying the Median Absolute Deviation (MAD) with 1.4826. In this example we will pick 10 as our threshold." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "13" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target_mask = tpf_file.create_threshold_mask(threshold=10, reference_pixel='center')\n", "n_target_pixels = target_mask.sum()\n", "n_target_pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have now created a target mask which covers 13 pixels. Lets plot this up and see what it looks like." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf_file.plot(aperture_mask=target_mask, mask_color='r');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that this is slightly different to the *optimal* aperture previously defined. It also looks like there might be too many background pixels included. Lets see if we can adjust this. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Specify an Aperture Array\n", "We need to define a new aperture array such that our aperture will cover our object of interest only. We have seen that apertures are defined within boolean arrays, based on this lets make up a new array." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aper_new = np.zeros(tpf_file.shape[1:], dtype=bool)\n", "aper_new[5:8, 4:7] = True\n", "tpf_file.plot(aperture_mask=aper_new, mask_color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK great, it looks like we have covered our object,but not included too much background. Lets now make this into a lightcurve." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "TessLightCurve targetid=307210830 length=18317\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
timefluxflux_errcentroid_colcentroid_rowcadencenoquality
electron / selectron / spixpix
objectfloat32float32float64float64int32int32
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.....................
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1381.511214199248819945.67187515.542808532714844664.5173951664624339.255683625987841109210
1381.512603067657719982.89062515.55328369140625664.5085713660441339.26051245835061109220
" ], "text/plain": [ "\n", " time flux flux_err ... cadenceno quality\n", " electron / s electron / s ... \n", " object float32 float32 ... int32 int32 \n", "------------------ --------------- ------------------ ... --------- -------\n", "1354.1088231272427 20049.26953125 15.38568115234375 ... 91191 0\n", "1354.1102119888994 20029.6015625 15.380707740783691 ... 91192 0\n", " 1354.112989712153 19982.47265625 15.365057945251465 ... 91194 0\n", "1354.1143785738097 19994.115234375 15.368595123291016 ... 91195 0\n", "1354.1157674355243 20003.728515625 15.371517181396484 ... 91196 0\n", "1354.1171562971804 19999.60546875 15.368359565734863 ... 91197 0\n", "1354.1185451588947 20019.8046875 15.375614166259766 ... 91198 0\n", "1354.1199340205515 19982.787109375 15.361979484558105 ... 91199 0\n", "1354.1213228822667 20002.78515625 15.369135856628418 ... 91200 0\n", " ... ... ... ... ... ...\n", "1381.5001032523294 19974.763671875 15.560335159301758 ... 110913 0\n", "1381.5014921207378 19988.509765625 15.56753158569336 ... 110914 0\n", "1381.5028809891458 19959.5 15.55550765991211 ... 110915 0\n", "1381.5042698574382 19942.931640625 15.547529220581055 ... 110916 0\n", "1381.5056587258466 19961.890625 15.553683280944824 ... 110917 0\n", "1381.5070475942555 19938.53515625 15.542488098144531 ... 110918 0\n", " 1381.508436462548 19942.68359375 15.544118881225586 ... 110919 0\n", "1381.5098253309563 19965.841796875 15.549737930297852 ... 110920 0\n", "1381.5112141992488 19945.671875 15.542808532714844 ... 110921 0\n", "1381.5126030676577 19982.890625 15.55328369140625 ... 110922 0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target_lc_new = tpf_file.to_lightcurve(aperture_mask=aper_new)\n", "target_lc_new" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare Data & Lightcurves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have now created lightcurve objects using both the SPOC pre-defined aperture and a mask of our own devising. Lets plot these lightcurves up and examine the difference." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot();" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "target_lc_new.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see the lightcurves from the two apertures look very different. It looks as if the aperture we have defined manually may have less background or contaminating flux from scattered than the SPOC aperture. We will learn more about contamination in our [next tutorial](Visual-inspection.html)." ] } ], "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": "3.6.10" } }, "nbformat": 4, "nbformat_minor": 2 }