{ "cells": [ { "cell_type": "markdown", "id": "c2278aa9", "metadata": {}, "source": [ "# Masking and flattening HPF data with `TelFit` and Gaussian Processes\n", "\n", "*gully* \n", "October 14, 2021\n", "\n", "In [a previous tutorial](https://muler.readthedocs.io/en/latest/tutorials/Masking_and_flattening.html) we masked spectral lines and coarsely flattened the spectrum. That approach was only able to identify the strongest telluric lines and therefore caused some residual weak telluric lines to distort the inferred continuum shape. Also the third order polynomial was not flexible enough to account for high-frequency ringing artifacts leftover from the A0V's deep Hydrogen lines.\n", "\n", "In this tutorial we use a pristine telluric template and [advanced Gaussian Process smoothing techniques](https://speakerdeck.com/dfm/an-astronomers-introduction-to-gaussian-processes-v2) to get an even more refined continuum fit." ] }, { "cell_type": "code", "execution_count": 1, "id": "5602eb97", "metadata": {}, "outputs": [], "source": [ "from muler.hpf import HPFSpectrum\n", "from gollum.phoenix import PHOENIXSpectrum\n", "import astropy.units as u\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "id": "cfc94c58", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%config InlineBackend.figure_format='retina'" ] }, { "cell_type": "markdown", "id": "c9dced9c", "metadata": {}, "source": [ "We'll conduct the same steps as we did in [our previous tutorial on masking](https://muler.readthedocs.io/en/latest/tutorials/Masking_and_flattening.html)." ] }, { "cell_type": "code", "execution_count": 3, "id": "1a6486d6", "metadata": {}, "outputs": [], "source": [ "path = 'https://github.com/OttoStruve/muler_example_data/raw/main/HPF/01_A0V_standards/'\n", "filename = 'Goldilocks_20210801T083618_v1.0_0036.spectra.fits'\n", "raw_spectrum = HPFSpectrum(file = path+filename, order=6)" ] }, { "cell_type": "code", "execution_count": 4, "id": "6a167a8d", "metadata": {}, "outputs": [], "source": [ "spectrum = raw_spectrum.sky_subtract(method='vector').remove_nans().deblaze().normalize()" ] }, { "cell_type": "code", "execution_count": 5, "id": "90bea2f1", "metadata": {}, "outputs": [], "source": [ "native_template = PHOENIXSpectrum(teff=9600, logg=5.0, download=True).normalize()" ] }, { "cell_type": "code", "execution_count": 6, "id": "85fed9b5", "metadata": {}, "outputs": [], "source": [ "doctored_template = native_template\\\n", " .rotationally_broaden(105.0, u1=0.3)\\\n", " .rv_shift(-40.0)\\\n", " .instrumental_broaden(resolving_power=55_000)\\\n", " .resample(spectrum)\\\n", " .normalize()" ] }, { "cell_type": "code", "execution_count": 7, "id": "3a9d5b00", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 280, "width": 618 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = spectrum.plot(ylo=0, label='A0V Star');\n", "doctored_template.plot(ax=ax, label='Doctored A0V Template'); ax.legend();" ] }, { "cell_type": "code", "execution_count": 8, "id": "479f7f32", "metadata": {}, "outputs": [], "source": [ "telluric_response = spectrum.divide(doctored_template, handle_meta='ff')" ] }, { "cell_type": "markdown", "id": "787a982d", "metadata": {}, "source": [ "Normalize by the top 5$^{th}$ percentile, rather than the median." ] }, { "cell_type": "code", "execution_count": 9, "id": "eab18091", "metadata": {}, "outputs": [], "source": [ "spectrum_peak = np.percentile(telluric_response.flux, 95)" ] }, { "cell_type": "code", "execution_count": 10, "id": "ab227c02", "metadata": {}, "outputs": [], "source": [ "telluric_response = telluric_response.divide(spectrum_peak, handle_meta='ff')" ] }, { "cell_type": "markdown", "id": "9ba3fc67", "metadata": {}, "source": [ "## Masking the lines with a template" ] }, { "cell_type": "markdown", "id": "2497b5c9", "metadata": {}, "source": [ "`muler` now packages a static telluric template with its source code. The template is not tunable and is inadequate for directly dividing out the telluric absorption. Instead, we use this template for a coarse estimate of which spectral regions are likely to have the most severe telluric absorption." ] }, { "cell_type": "code", "execution_count": 11, "id": "ecf856a2", "metadata": {}, "outputs": [], "source": [ "telfit_template = telluric_response.get_static_TelFit_template()" ] }, { "cell_type": "code", "execution_count": 12, "id": "871f899f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 280, "width": 621 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = telfit_template.plot(ylo=0.98, yhi=1.005)\n", "ax.set_xlim(telluric_response.wavelength.value.min(), \n", " telluric_response.wavelength.value.max());\n", "ax.axhline(0.999, linestyle='dashed', color='salmon', label='$99.9\\%$ Threshold');\n", "plt.title('TelFit template')\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "53e00717", "metadata": {}, "source": [ "In the next cell we will mask the pixels in our telluric response spectrum that TelFit would expect to have greater than 0.1% telluric absorption. You can tune the threshold to a higher or lower number depending on your needs. The `dilation=N` parameter also masks $N$ adjacent pixels and accounts for the possibility of wavelength miscalibration in the data or model." ] }, { "cell_type": "code", "execution_count": 13, "id": "de534e96", "metadata": {}, "outputs": [], "source": [ "continuum = telluric_response.mask_tellurics(threshold=0.999, dilation=7)" ] }, { "cell_type": "code", "execution_count": 14, "id": "cd21e254", "metadata": {}, "outputs": [], "source": [ "smoothed_continuum, gp_model = continuum.smooth_spectrum(return_model=True)" ] }, { "cell_type": "code", "execution_count": 15, "id": "ae5c5b0f", "metadata": {}, "outputs": [], "source": [ "inferred_continuum_flux = gp_model(telluric_response.wavelength.value)" ] }, { "cell_type": "code", "execution_count": 16, "id": "61853958", "metadata": {}, "outputs": [], "source": [ "inferred_continuum = telluric_response._copy(flux=inferred_continuum_flux \n", " * u.dimensionless_unscaled,\n", " uncertainty=None)" ] }, { "cell_type": "code", "execution_count": 17, "id": "68640927", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 280, "width": 625 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = telluric_response.plot(ylo=0.90, yhi=1.02, alpha=0.3, label='Masked telluric lines');\n", "ax.axhline(1.0, color='k', linestyle='dotted');\n", "continuum.plot(ax=ax, label='Continuum pixels')\n", "inferred_continuum.plot(ax=ax, color='k', label='Inferred continuum')\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "3d556aa6", "metadata": {}, "source": [ "Neat! That continuum fit looks plausible. You can see that we missed some telluric lines, such as the one at $\\lambda \\sim 8825$. But overall it does an OK job. Let's flatten the spectrum by this inferred continuum." ] }, { "cell_type": "code", "execution_count": 18, "id": "e2ebb14d", "metadata": {}, "outputs": [], "source": [ "flattened_telluric_response = telluric_response.divide(inferred_continuum, handle_meta='ff')" ] }, { "cell_type": "code", "execution_count": 19, "id": "199cffc8", "metadata": {}, "outputs": [ { "data": { "image/png": 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0bqvWLZP10YrtSkww9emQofYZLfTg28v06eqdymmbrj7t03XK6G4a2Cmz+hMF2V1QrDtfW6w1O/J10sguemjOCq3avlcXHdZbl03rpyuf/kKfrd6lXu3S9dHK6I3n514zWclJCXp70WaN691WfTtkaPmWPPVsm+7rfy74xmzL7gK1Sk2uqOPFpWV6d+lWbcgt0OT+7aM+YHDOaXd+ScX3RLnc/GJNuuNt7SkMDaykJido/vVHKKtl9Dq/dU+h5q3crkl926l1eormr9yu7z88r8bvK5IzDumhgqJSfbF2l86ekKPvjemubzfuVoukBA3pkqnL//WF/vflhojHZqUl6/FzD9bI7tkqKXN69ZtN2pFXqBMO6lqrFhlb9hTo5he/rfQ9+MmNR0QMEjvntG5nvrpmp2nxpj16f/lWfb1+tz75bodaJCdodI/W+u/n60OOmdi3rZ66YFzItu15hbruv1/rzbBhPA7v316Pnj1Gl0YYMzea/5vSV8cf1KVSsDGvsERDb3q9RnlMGdBe9/1gpApLSis91Ckrc/p87S6t27lPL365QW8t2iLJ+yy+8ZiGuSaoL2t37FNhSZmccxHHKfZrxpBOOmt8T43r3Va9b3ilyn3Pm9hLp47upj4d0jV/5Q6VOadJfdtV/G9+t22vVm/fqxHdshukNVEsFJWUKTkxNMD08lcbdek/PqtxHokJpj+cMUozhu4P0tz84sKKe5lZxw3Wiq179bd5qyvSn7l4vMbktNGzC9bp+ue+VlFJWUiePdq01I/G9VDnrDT99J+fV2w/Z0JOxXVzi6QEPXr2GJ35l49Djs1MTdKkfu109vgcHZzTpuL+pqzM6eBb39L2vUWSpLbpKbr/ByMb7CFgubIyp/eWb1NufrGmD+6olMQEXfXvL7R2Z75OG91NW/cU6u43l4Yck5KUoE9uqPqz/paXvq3oBTWudxsdO7yL2qSnqHXLFI3r3UZmpm/W5+rYB9+PePy1Rw3QeRN76Y1vN6mk1OmY4Z111+tL9GhQz6pWLZI059rJahf04K+szGnplj3q0z5DpWVOn67aqV35RUpLTtRh/dsruYqH2c45fb0+V2VOGtY1S4kJpg+Wb9P9by1TtzZpuum4IcpKSw7Zv6qHCM45Db3p9ZDrn2Bje7XRb08Zrt++ulivLdwUtVyXTeunY4Z1Vq926TrviU/0/vJtIemtWybr819Nj3p8PCCoVk/qEFS7QNIjkh52zv04Qnp5K7YjnHOza1m2ZhlUk6Sc616utG3KgPZ6/NyxkqTfvPRt6IdXapI+ufEILd28R6f+6aNKXzJ1MbBTKw3s1Ep7i0p15rieapOeopMf+lBFpWURAyArtubp+c/Xq0/7DB07vHOtuxxs2VOgXzz3TcjF5u0nD1OPNi31w0fnS/K+kHu2aamV2/zHZS88tJceea/qrrVTBrTXnCVbo6bPvWayPl+7U91at9SYnq0rLi5y9xXrj++s0J/eWRGy/1njeyrBrOKLvSkb1jVLV03vryFdMpWanKh73liqj1ZsV+fsVOUXlerLdbs0vndb/fnMMSopK9Nzn6/X1+ty9a9P1qpdRgttyyvUv388Xgfn7P+9vLN0q85+bP9FzME5rbV9b5FWbg39+716+aFqmZKopz9Zq9cXbtKUAR104WG91TEzVcWlZV43DJMu/tuCiH+fG44eqPMn9Q4JUP3u9cX6w5wVlfatiauP7K//m9pXG3ML9MSHq5QSCHauCTyxqk9/PnO0vly7SwXFZeqU1UIvfLFBHVq10Fnjc3RY//bKLy5VQXFpyIWKJC3auFsX/PVTrd+Vr55tW2pgp1Y6vH8HtctIkZmpVWqSbn9lkb7duFvfG9NdJ47sqoNzogeF84tK9dHKbRraNUsZLZL0whcbtHr7PnXKbKF3lm7V4C6Z+sHBPTR36VZ9sGxblRcddTGkS6buPHW4Tvj9ByoJBHMe+uEoOSfd9soiSdL6Xfm+801MMF0xrZ9+GgiwN5R9RSX6x/w1+s3Li6rc75YTh1a0hJp5/3tatHF3jc/xwXVTddofP1ROu3R9vT5Xe8Jaqhw/ooumD+mo//vH51FyqLve7dK1r6hUHbNSlbuvSNMGddRl0/opMzVJe4tKtX5nvvp3zNBV//5Sz4UFIvz65MYjtHbnPg3vmlXt98um3AKNuz36JcbNxw/RTf9bWKfySN7nZZv0FK3buU8PnD5SQ7pUDu7vKSjWsFlvSJLSUxIrLuYzWiTprPE99crXGysCqJEcM7yzzpuYo8/X7AqpT6eM6qa7vzdCkvSHOcv1u9eXRDz+sXPGaOrAjhWvc/cVyxK8m58f/21BxXdtm/QUfXjdVH24YpvOe+JTn7+J+nfa6G4a3j1bv3z+m4pt5cH3gZ1a6bxJvXTc8C4Rg+97Cor1+AerdE/YjWe46YM7Kr+4VNfNHKghXbLknNMPHp6n+WGzs9dE/44Zev7SiZq/coduf3WRlm7Oi7pvr3bp+q4W1y93nzZCpwRmfpciXzPW1NCumeqUmaa3FlUd2OuSlape7dN1cE4bnTMhR9ktYxMcKi1zem/ZViWYafveQt31+tJafQc0tNPHdtes44folpe+1d/nramU/shZYzSsa5Y6ZTVea/Vlm/do3nc7NK5XG/WrphXoiq15uv+tZfr4ux1KSjRlt0zW8i15uvDQ3iGtVevDd7cfLeekO19fUum6OZLFt8zQhDve1o5AkKshdc1O09CumRF7EB05uKMePnN0xJZruwuK1TI5sU7drp/+ZI1+/uzXkryHDLn5xTU67vlLJ+qgKK3Vlm7eo+n1EHSuqY6ZLbR5d2GN9n3n2snq2TZyj6GzH/tY7yzdf71/1JCO+mTVzoo60Lt9uq6fOUhds9M0e9FmPTR3hfKLS5WSmKA3rjxMnbJSde+bS/XRyu1auGF3xcPBqgQ/5K2LVXccU/dMYoigWj2pQ1Dtd5KukXSNc+7uCOm/l3SppEucc3+sJq9oUbOBnTt3brlxo/fU8aabbtKsWbNCdrj66qt1zz33SJLuuusuXX311SHpF110kR555BFJ0p///GdddNFFIelnnHGG/vnPf0qSnnrqKZ1xxhkh6ccdd5xeeuklSdL//vc/HXfccSHpkydP1jvvvCNJmjNnjiZPnhySHqiokqRPP/1Uo0d79fX8Jz7R7MVbtP7hi1Sy03uKe/79L+jRy46X5D31uuLpL/TydcerNM+76Fu/fr26dOkiSfpy7S49+9k63Xn6OBXmexds3a/4txJahD71Xv3bYyt+7vnzl0LSygr3ae1935MkWUqaelz5H0lSt9ZpWrczXyV7tmv9Q2dLkjp07KTNmzaqrMxp8l1ztWbHPhXvWK8Nj3jx1H79+mnp0v0XtWVlTjc99j/95sITJUkpHfvokKse0azjB2vqwI7anleoIRfdo83/vEGS1KL7UHU6446Q8u1bPl9bn71FkpTW52B1OPWmkPS9387VthfvkiS1HHS42h9/bUj6ni9e047Xfy9JyhhxlNrO+GlI+u6P/6udcx6TJLU6+ES1mXpBSPqu959S7gde3ciaeLqO/NH/6d7vH6RurVvqt68t1q2/ul57PnlektR6ynnKHHtyyPHbX3tQeV96T5bbHPV/anXQjJD0rf/7nfYt8upOu+OuUfrgySHpW565WfkrvNYu7U/5pVr2DQ1ubvrHdSpc692EdDz9NqX2GB6SvvGJy1W02bt46XT2fWrRqW9IenDd63Lhn5XcJrRb6Lo/nFVR9y784+t6Y1Xol/2ae0+TK/IudHfv3q0P1+zVj/+2/1+5NnWvXHDdS8xoo26XPhmSHl73Pv/6Ww0JeopfuGm5Nv31Ckle3et8zv0hxxes+apS3bvosN6au2SLlm7Oa1J174yLr9InbY5QUen+QPqOtx+tcd2L9Ll3+uln6F//8vJv6nWv6yV/VVKrtiHpwXWvus+9I++Zq1tPGqZXvt6olMQE/eCg9urd1ev6k5GRoVMfmK25S7fKOe/pdHLhLs2/1aubnTt31oYN+1vZvPbNJl37l9f0zX3nSpKSWndR14seDjl3tLqX3TJZX/xquubOnaspU6ZIqvnnXkaLJOUFWiY19ude9qQfhqRXV/d2vP6g9nxRP597I8+/TZ8+fF3Ik+jg79xrHviH/rM+tFVbY9a93NxcZWbuP/9T81frR+NyKl7X5+fe3Gsm619vztP1ZxwhyV/dKxfpcy9YU/rci1T3Uj79u5bN/pck73rvqquuUq/r97cw8vOde/dDj+qB1aFdnJra596Se85QWnJiRSDCz+deXeve6fe9ot+dOqIiILRo8RINHuQNvxx+vSdJCxYs0JgxYyRJo0aNUvjD8ODPvcMPP1xz584NSX/xxRd1/PHe9e+QcVOUd3jotXys656f79xIdW/Y0if00nPPSKr7vcbs2W8rs/cIrdmxT2N7tdG+olJNGj9WW7/zJiwLrnu3nDhUKYmmG8+YphXLvUDZkiVL1L9/f13w108qWirW53dufXzuTerbrqJFUPD1Xiw+905vs0Z3/PwSSdJJp35POaddr/9+5j04apmSqB9lL9ONV18mSbrwwgv18MOh5bv77rt1zTXXSJKuuuoq3X33/lvmkx/6QG//4w++615wUC34Pve639ytf+4ZEHJ8U7rX6HbRn3XLWUdqVtCQAJv+eLYKd3styJtC3Qvmp+7V9XPv2GOP1YsvvhiS/o9//EM//KFXH04//XT94x//CEl/+OGH9eMfe+XzW/ckadasWbr55pvLXzaJoFo8TlRQH8of0+ZGSS/fnt3wRWkeJvbd38y4V7t0vXDpRHW5tYU2RngIOqJ7tkZ0z9a9iabCoG1fb4n+VGdsrzb6uAZPZdftrPxEcPveIjnntK+4NGLrnW15RVq0cbcGdc7Uqm17NfmuuSrctCpknzU79um8Jz5V9zZpyi+qv5Z2jeWTVTs16bdz9Jezx/hqZdIcvPL1pkpfdMEWbczVj/8WvZtkQyoqLdP1//26zvk8/O7KeiiNNHVgB73wRb1kJUl6+euNyp5U+/+XSA99duxr+Ke/TcXSzXk67U8fVbz+45v7W8MUFJeFtITcvrdIJXsit4h4dsE6Xf2fL1Vcyyfnu/YVB84ZuStCVfIKK4+h1FTV5zPGdbvytXDDbg3rtr9V2ObdBRU//+2jVZUu8BvTp6t2aOrw/UG1G5/7poq96+a437+v0p2Ru1EeKDYF/e3LnKvU3dKPP8xZIfWuPG5QU7Irv1hzlmypUcue+vbesm0hLUCLd+xvfbpuZ74Kiku1eNMefb5mp2YOrd/B6VduzVOHes3Rn55t06Pe2NRWTa69a+qMR+cptUfodXjuvsgtnMpbf64PayHrnKsIqNXWwpuP0t6iEh3zwPtaXf3uvoR3sYulR9/ff234+sLNat9n///CvqJSfRY0fvXcJVv0w0fn6YajB0VszSx5jQ4eeW+lbn91ca3L9MWanRFbqr3yzSap54DKBzQRZU4hATVJFT0UAEk6MKfbqV75o+Vq/1ucc6MjLfJmEz1gjOnZuk7H33LiEPUOjA2VnGh6+MzQgPOv6jiG1pMfrdbk382JmLanoFgz739PSzfv0eS75laZz9od+dqWV7OmwtEkhfWhP25EZ31w3dQaHXv2+J768eG1n4Hs/L9+qrlVdBmtje6tW2pE92ydMyGnYltm0NgBbVqmqFVq9Ph999Yt1bmKLgYXTMrRPy8cp7G9qh8jrjbqc6w/v7btKYw6Zk8kRwzqqESfg9BefHifkNflY1iVO210N336iyO0+JYZeuSsMRrpc8DwhjR3SeiFc35Rqd5f1ngXrGN6ZusXxwxqsPx/PnOg0mows1skpTWMAP3qhW909X+qDxqPraK7rSTd9foSnfP4xxHTfjSubrMsluvXcX/d/MHB3fXWVYfrvZ9N0c3HD6nR8cFjFtb29xo530ydPMr/JCnH/f59Tfrt2xWva9OVLpqfTumj5MTaj3F4Z5RumA1hT0FJjbsGxYP2PifgCHf7K4t0XRUPU7KrGG9I8rpu+XHx4X2UUI+Dl7911eF69KwxOjintQZ1zlTHzMq/j3U79mnO4sjXGl/POkqr7jhGq+44Rt/dfrS+bMQxfYpLyzTwl6/pxD98oJtf/Fbjbp+tD5tQEESS/nreWF1ey67/J43sqv9eMqFey5NXuP9hynvLtupHj87Xw++uUHFp1Q/MZi/arL43vKJ5VYwF6deufUW66426fXY9ds4YpbdIUodWqbr3ewfVKo+nLqjZ2LrRpCbX7PZ7Ut/21e9UB8Fjdm3MLdAHy7fr1iqGg5h699w6BdQkRR07OFKjCD/8Xhs3R89fOlFvXXV4jSZrmjm0aT+YiUd0/6xj988qztFsx1Qr7/4ZbPEtM2o07XdtOed0R2BAxtVVjOtSF5mpSRFnpqqr62YO1I8P6628wpIqZ6mau2SL3l68RZP6tlPv9uk64fcfqKCkrKJvfWKC6emLxmlMThuN/PUb2hl4unfdzIGaPrijvlqXq+5tWuqeN5fog+U1u4h5+MzROqRXW4349Rs12v+iw3orJTGhYuKCXx07uNLsgIUlpWqRVLku7NhbpGWb9+igHtlauilP/TpmVKozW3YXaPlWb3Dtj1Zs1/g+bdU1Oy0k78KSMl35ry80d+nWGo07EOz5SydqRLeskG431fnjD0dpePdsdc1OU0ngInLV9n3q0z5dRaVl+ttHq6sck2rygPZ64tyxWr19r55ZsC5kvI8uWanakLu/BcOMIZ30y+MGV7znhRtydedrS5RgXgCmfBD0guJSzVm8RT95qupBd48f0UUPnD5Skjd+VvDsUcWlZUqw6DPSrtyap9cWbtLYnDZ65L2VIWN2pCYn6JhhXfT5mp3aXVBSo0DzWeN7ate+4qhBxKkDO+i00d0qvaeTR3XVHScPV0pSghas3qlT/vhhtec6eVRXLd64R98Gtcq87aRhOuOQ/cGf0jKnB99eps/W7NIRgzrorPE5UfPLzS+WnCoG112+xRtUvyZfn61aJGl0Tmst25wXMrbOuN5t9K+Lxmt3QbE+X7NLB+e0VoKZ/vrhKj39ydoqx2L8+MZpGntr1cN9Phe4sTrpoep/X/f/4CCdcFBXlZU5zftuu7LTUlRa5nTc7yMPBCx5Y5G8dvlhSk1OVFpKot5dulVnBcYk/MnkPvrj3MotVM6b2Esnjuyinm3T9d6yrVq9fZ9+//Zyje7ZWpdO6avxfaK3KA22MTdf2/YUaWjXzKgzne3cW6SRt7xZbV7HDOusl78OHRz+mOGd9YczRkU877X/+UobduXryiP767gRXbQpt0C/fmmhXvk6+rh9b155mOYu2apbX4n8OZGZmqQXfzpJXbPT9NHK7fpk1U49MHtZRfqiX8+QmTfezJAuWRX/s7n7iiXzxlbZW1iiK5/+QvNW1rxVyfwbpqljZmrIJBGSNPvqw3Xzi9/q3aWVgyKtWybrjlOGq2NmqtfabWAHZaQm6Sd//0xfrN2l1i1TdM6EnspMS9avXqh6PLjubdL021OG64xH5ldb1vMm9tL/vlyvbXmVW1tee9QAnT+pl8xU8d2zcEOuTKa+HTI0d8kW3fDcN3V+IDawUys9ce5YdcpKrdM4YZKUYF7LB8l70PHi/02qGHfNmwV0p+5+Y6nyi0s1Y0gnvfHt5oizopfr3S5dr11xmJITTZ+s2qmstGS1Tk9WRosktUxJ0oqteZp29ztVlql8vLp3lm4NGQ5BknLattTca6dEPfaUP34YUr4zDumhlMSEkDFa/3XROI3rXf3/+JwlW3Ru0GQpRwzqqHeWblFxqVNKYoIGd8mMOplMba247egqJ+LZmJuvV7/epFE9W0dsZbNrX5EO+nX1nzfLb52pbzfu1h/mLA/5Tp05tJO25RXq0H7t9dOpfWVmyt1XrA25+RrYqVXF59ycxVt07hP7fzdTBrTXQz8cXWnMvqKSMpWUlWl7XpEe/2CVMtOSNK53W72xcLOKS8vk5CqNpTaiW5a+XOevndvYXm1064lDK42BVlbmqp1AobYO6dUmZDzBa6b3111vhHbpPax/ez1+zsE1mlypoLhU7y7dqtbpKRrTs7VeX7hZF/89+r3b6WN76PaTh2neyu26/dXF+nLtLvVo0zJiT5jyz9hyeYUlSk1K0N7CUh1659sV9xzPXDxeg7tk6jcvL9I/5nt/l7nXTFZOu3TtLijWvz9ZW+3Yp4f2a6dfnzBUPdu0rPPv/oVLJ1aapXNvYUnIUCVV6ZqdpsfPPbhi0pLgWUAlaclvZoTcJ+zYW6RRQd/Xs44brJnDOuua/3yp9wIPUv9vSl+9tWiz8gpLNLJHa70YuJb82YwBOmdCjlqmJKm0zGnAL16taEHWOStV2/cW6aJDe6t/p1b6aMU2jevdVt3btNTJNbg2ioUPr5uq1i1TtHBDrg7qnl1p3Lv/+8dneilsQpvwe/Di0jLtKyzV3+atCvnfmHPNZOW0bdmkZoitK8ZUqydMVBAbsQiqBcsrLNHZj32sL9buUvuMFhrZI1uDO2fq3Em99Oa3m7Q9r0gnjeyq6//7dY1nrapK2/QUDeqcGbFJ97HDO+vY4V00vFuWHnlvpVZt26uzJuTo/Cc+UZnzJmmYf8O0aqfCrkppmTcVdI82LSvGCFm7Y5/+/ak36P73xnQPuaByzum7bXvVtXWafvfaEr25aHPUQOR3tx8tM9PWPYW6/F+fK6+wRIM6ZapdqxTtzi/RJ6t2aNe+Yl0ypU9I0GHdzn1KT0lqEjNFlc+iU1Rapnkrt2vukq2avXhzxQyE5Sb0aau/n3+IEhJM3/vzRxG7NJw+toduO2mo1uzYp6/W5erQfu1qNODxa99s0o3Pfa3kxATdeepwdW/TUq9+s1Gds1J1zLAuIbPvfbJqR0iXvmB+/o+cc5p5/3tavGlPyPYPr5uqbXmF2p5XpEn92lU5Y1FNlc9OOv+7HTqkV5uQGR3L3fHq4qhdfcoHQi0rc3ru8/V68qNVapvRQtMHd9TwbtnKLy7RqB6ttTG3QBPueLvS8XecPEw/GNtDf5y7Qr99LfJT0uNGdNG10weoe5u0iguG3QXFevXrjWqb3kJTBnao12nUV23bq6/W52rL7gLNW7lD0wd31Cmju2nnviK9/NVG5bRL96Y9N1WUxzmnj1Zs19qd+zRjaOeQ2aDC3fjc13pqfuUBpCVv4PLgz7Z+HTI0JqeN/vnx/v0fOWuMLnyy8kDuPdq01P0/OEgHdc+u8sKqqKRM/X/xatT08lnOookUdKjuxrW+zV+5XXe9sUR5hd4g74f3b689BcWavWiL+nbI0NCu3qDv0+55p2JCkrPG99Ss44b4mjn6nx+vqbIb938uHh/1f3721YerT/uMStuXb8nTwg25mjqwQ5UPY4KVlTm9v3yb9hWVaOrAjkpJStCegmJ9u2G3PlixPSRQJ3mTsfzn4gl6aO5y3fna/tYfK287WgkJFvFv6GdQ40PvfLvS57AkvfTTSUpOTKiYvXv87bO1MejhwlFDOqpzVpo+/m6Hlm/J089nDtTZ43uq1Dl9u2G37n5jqd5fvk1JCabfnzFK0wZ18PU5F3zd+9maXUpMMH2+Zqc6ZqZq+uCOFXU0+P+jpLRMiQn7ZxPcV1Sig3/zVkVLjztOHqYpAzvozW836+CcNlqweqee+3ydDuvXXn06ZOiSKh6AvH7FYRFnMg8WPJFEsGW3ztSKrXnq2z6jykHHw78v/nXROA3ukqnC4jJlpiXp63W5Gto1S6nJiRH/99/72ZSos71Kijgb3/mTelXM4jewUyu9evmhdbqZ27K7QC1bJCmjxf7rqeom+6ipK47opyuO6F9pe0lpmZ79bF3FgOySF1i+7aRhmjlsf9fRe95YUu3s3eUPUsrt3Fukl77eqF5t0zWxb9tGv9HduqdQs/63UJlpSTpzXI76dEjXswvW6/kv1vvq8jl1YAc9ds7BIduCZ6/3Y0Kftlq0cXfFQ+Pq3Hj0IF14WG99tW6XfvL3z7R+V77apKfoTz8aXafeDR8u36ZnP1uvZz+r/B7OmZCjWRFaT6/Zvk+HBfWImTGkk/50ZvT7/ILiUq3YmqfBnUMfDm3PK1R2y5RK35Vfrdul43//gSTv93Tx4X00rnfbiLM73/vmUt0f9nnvR6Syz160Wef/NfLkMMO6Zml4tyxdNq2f0lISK81evmV3gcbeFvp/etWR/fWTyX2UnJhQaYKC4GvhNdv3qWNWi4gP6yMpnxm5W+u0Kv+n/jZvte56fYly2qXrkTNHq6TMqUt2mopLyypavW3NK9SGXfk1ejg5dWAHJZhVmlQl0mQIc6+ZrEUbd1d6iBw+Y3okO/cW6elP1yotOVH9OmRodE7rKn83izft1twlWzVtYIdqJwCJRwTV6kkdgmp9JC2XtEpSH+dcWVBaK0kb5XWNbe+cq1V/jeYcVDvn8Y8rdSFszKBauZLSsiovIsNvFIL99byxemfJViWYQmYqDTZ1YAcVl5bp2qMGKMEs4vTNS38zM+IX2oqteZq/coemDGyvzllpldJjIfwGqfyGqrlzzml3fknIFN4n/OEDfRnhSXf4U0U/ygJPxqq7GY8WVEtPSdTCX8+IcER0BcWlGvjL1ypet2/VQp/ceISvPOrTWY99XKl1S7T/kWg+XL5NZzxaueXK+z+fokm/De3C/ZsTh+r7B3fXtrzCJvN/Vl+qetLfs23LkEB5eaAj+IHHA6eP1GX/DJ1R88tfTa9yKvtwkR6g1LSePjB7WcishhP7ttVTF4yr8bkb2/Ite5TRIrlWs91FakE5uHNmRUvJW08aGjJm2RVH9FOXrDSN7JHdaBe5xaVlev7z9br2ma9Ctq+64xg9OHuZ7g78rQZ3ztQrlx8qqXKg/E8/Gq0ZPrqMvPDFel3+ry9CtkW6AZ+3crt+8PC8itc1+RwuLXONGqCtq/DP6mBvXnlYjepBSWmZDrlttrYHxkb88WG9df3RNe+evj2vUK8v3KzBXTKjzr5X7r1lW3XmX7yWp+0yWmje9VOrnSnwuc/X6cqn93c1P31sd/3zY691yi+OGaQLDq390BVVWbN9n+Ys2aIJfdqGtLj0K1LAOPw9BXvqgkMqxhMOn/2vY2YLzbt+msqc9NaizVqzfZ9OGNlFHVo13myadfGjR+f7Ghus/AGt5LWgrar3w5QB7XXnqSN043P7H3wP7NRKLwaC7c45fbUuV61bejMWR7oeKBcekC4oLlWCma9rjmii/c++ddXhlYbRKFceTGybnqKXLzu0UWdPDfb5mp01CgRFk5qcoMW3zAzZNuym17UnaIzUBPNatz794/ERHwyFi/SQpvxzITio1rNtS71TRavYWAj+PJS8lnTnTOyll77aoP99sUHjerfVuRNztHl3YUiQ/7lLJmhkD294pA+Wb9Pzn6/X4QPa69jhXbRu576Qa9qaBNRQWVMKqjXriQrMLFlSH0nFzrmKK0Pn3Aoze0Nea7RLJT0YdNjNktIl/bm2AbXm7pBebSsF1VrUwxeYX9Vd4J0xtkfEoNrMoZ10eP/2Ory/N1bB3+atVmFJ6NgQZgq58I80uP8jZ42J+sXdp31Gjb5k0PDMrFIgYXL/9hGDaq1r0CotGj8tWyI5d2Kv6ncKk5qcqGum99eDby9X9zYt9djZB1d/UAN6+MzRemr+Gn25dpfaZqTo5zMG+r64ndC3nX5xzKCQrg6tWyZr8cbQFnkzh3bSj8b1lKRmF1CTvPo0Y0gnvbawcrfC4IDaVUfub10R/FD21pdDB9Qtb33kxyVT+lYKqtX0MdxPp/bVn95ZoX2BljxnV9G9tino26H2wa3RPVvrnxeO08INuerXsZUO69dOJwcF2cJ7qUdqEdPQkhMTdNqY7lq8aU9F66FywZNJTB24f5j1LtmhN4RjcvyNnVrTce3G9W6re78/QrMXbdHRwzrX6MFGPAXUJO+z+tqjBuh3Ecayq6oFWLCkxAQt+OWRWrp5j/YUlGhUj2xfZWib0SKkC3xVJvZpp9tOGqav1+/S98Z0r/Z6S/K6aQb71ydro+xZv3q0bamzA2O6vn314Zp2zztyThrUOVOvXDZJSzbv0X8/81pIFxRHHgcsWn2KFlCTpB8+Or8iEJcRNm7sR9dNk5kp0aSjhsTf2EWPnj1Gt72ySE9+VLNh/O99a1nFd9GvX/o26n7BwzA8fNaYiPuYWUXXwx5tW2rlbUdHfcAU3sKzPh/upyYnKj0lMWTcManyuLTB7jx1hP5vSj9fLasawvBu2RG333nKcA3tmqWjH3ivUtqAjq20ZLN3nVVQXKaC4tKQ32dwQK1vhwz9+8fjldEiqcbXeC9cOlEn/OGDkG2/eXmRLji0d8j4uSn10Luivh3ar70um9ZPT360ShP7tNOZgeuZY4d30bHDu1Ts1ykrVR9cN1XPf75eQ7tmhTy8mNi3Xcikfu0yWigrLblivNFTRndrlPeChhN3QTUzO1HSiYGX5d9U483sicDP25xz1wR+7ippkaTVknLCsrpE0oeSHjCzaYH9DpE0RdJSSTfWf+mbh+NGdA7pgnXOhJwm2T87fIwJySvrBYeGBi+OHNyxUv/0e743IuR1pC/RIwd3rLStKTtycMeQGcea4t+ssRwxqGOdmsY3Jf83tZ9+fHgfJQV1TYqV1OREnT/Jf3Aw3AWH9taxw7tU2a3n5hNqNnh9PLvt5GEak9NamWnJeumrjRHHuOoVmOBFCr2hCO9uUJugb6QB0/eF3WBEY2b6/FdHas7ireqanRYyC2ZzNL5P26hjwn2+Zv9YU4M6Z0bcp7FcM31ASFAtvOtlsPSwYQv83rAmR7jZija4+Ukju+mkkc37pmJwl8p/+74dKo8tWp3+jdC6MSHBAsGPmk9C0io1WW3SU7Qj0JIuuCNMfQxDUBO922do7jWT9fX6XE0e0EFmpoGdMnXD0Zm6IdCqr7yHTmmZU98bo3dxr4mVW/PUq126Xg66hrzz1OF1fsgWa6nJifr1CUPVKjXJm21WUlZasj66fqpapiRV6q73wOz9QbXwLpMPnzlaa3bs09SBHdS7Fg+bExJMacmJyg+bfbp7m4Z/mHbk4I56/ov948AGP3SIpkfbmgXJG1Jigmlkj2x9vmZXyPZTRndTYoJp3vXTKl1f/fW8sSHbXv5qY0WgJ7xX229PGaY2Pod/iRaM3JRboOVb8kJeN0VXHdk/5CFmNF2z03TplL7V7peanKgnzxur/325QZP6tlPPtunVHoOmremFg6t3kKSzA8tRgW29g7adWpNMAi3Xxkh6Ql4w7Wp5rdoekDTeOVd/09U0M52z0kIGjz9uRP1OSV5fWiQl6q7TRmhw50ydcFAXffmr6Zp1/BB1ax36hffLYwdXmkVt6sDQgFlyYoKOGhJfQbRwvzt1uNoFzVr2u1OHx7A0B67w2V/rQ3JiQswDavUt/Onn/O/2fyRPG9ghbrrR1EWb9BRdcGhvfW9M96hPb4O749VHQLM6P58xsMb7tkhK1IyhnZp9QC2S/KDg46tVTGIQa+EBteAZWKcP6ahxvdsoPSVRl03rFzKWVU2MjzAo/WljuteuoM1U3wOkRfv0Rrx+6tk2XccO7xK1vprV7AHU8i2hraM/++WRWnnb0SHb8gpLKk2eEfygI95de9RAvX7FYbr3+yP0zrWTK8YH7t+xVaWZsbfsKaiYzKncORNyNH1IJ11waO9aBdTKHTO8ad5nNGXhPYhSEhMqWmR2ykqtmBm+b4cMvXDpxEpdVYMnXpgfNsbekC7+v9PTWyTp+xE+/59ZsFaJCfvLeiC12BrRPVu/PHawptQgWIumL+5aqjnnZkmaVcN9V0mK+s3pnFsr6dz6KNeBJDHB9NwlE/T6wk0a0jVLI6sZmyOWTh3dTadW8wHdMTNVb189We8v36bC4lKdNqa70iNcjJ01PkdzFm9VUWmZzhrfs6GK3GCyW3oze63clqf+HVrF/ZPUeBWtWT6ic1LI0+Jin7O+NgftW1V+KpyWnBjSAiTS55bkzcZZG5G676Ulx+OzuMZ3cE6bikHhw1tYNGXBXdVapSaHDKzuV2pyovp2yAhphdCLp/EHnMQEa/Jd9EvLnJxzIcG2OYtDWwa3bpksM9Owrln6ev3+WTJdWKf4MT39dZNu6gZ0ahVxIo1zJuSEDNOwdkd+xYQv5S48rH7G0RvZI1vPLPA/8cGB7OhhnUNmgw7vvn/dzIG6bmboQ7JzJuRUzNj77rKtujLQMiv871rbbra/PXW4rjlqgA6+9a2KbeHda4Mf7ADxhKtj1EqHzFSdOT5Ho3q0bhYtZLq3aanTx/bQORN7Rb0xndi3nebdME1vX324fn3C0EYuYf1ISUrQwE6ZB3xArWNmi+p3aiCJCVZp7BlUbde+4pBuYxOjdLNrzmoz5l45vy2MynXJrnwjXJPZcBF9HKU9BTWb1a6hpFYTFK3vbnrh7zdSl2I0bw3ROrshfLA8tINKWVCXt2Fds6Je6wYPq9Euo0WzuCauiaTEBHUKGv/w+c/Xa+ue0GEHukb4DqkvjTHPXjw/vjt9bA+dPtbrvt26ZbKunl5918XgGcmDu45+ump/cO6kkV3rVK72rVro2qNCB+QPrzdAPCKoBvjQJj2lTk3Y0TR0iDIQdn3MGFUTka65O8ZolqimKrzrwq59+2/Opw068JrKx2rw3kP7tQt53ZjduJqjaTHu5mFmOmVU43WvufKI/hXDKwzqnFnjQfmbo0ihlrLGiAwgovDJCRZuyA15/eW6XRU/Rxsv8dkF67Rs8/6WmNvyDqzgQPCvsKTMhYzXGP7dUd827Mpv0PwlaW9haCuqpjiIfjTJiQm6/eRhWnnb0frsl0dqdM821R5zWGACN0lqFTT5xttBEwnU9yQxf5y7Qm8t2lz9jkATFz+fDgBQj048qEvI659OrX5g0YYUXp4DXbQWoweqnhEGP26MboXB3ftHdM+uGFMHtRN80xIr7Vs1XkvdH4ztoU9uPEJ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" ] }, "metadata": { "image/png": { "height": 280, "width": 618 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = flattened_telluric_response.plot(ylo=0)\n", "ax.axhline(1.0, linestyle='dotted', color='k');" ] }, { "cell_type": "markdown", "id": "32adc123", "metadata": {}, "source": [ "Nice! Much flatter than before! The Hydrogen ringing artifacts are gone. We can now measure precision equivalent widths by summing pixels without having to worry about where to place the continuum. " ] }, { "cell_type": "code", "execution_count": 20, "id": "7e09cbd3", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 280, "width": 625 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = flattened_telluric_response.plot(ylo=0.90, yhi=1.02)\n", "ax.axhline(1.0, linestyle='dotted', color='k');" ] }, { "cell_type": "markdown", "id": "34f6e9be", "metadata": {}, "source": [ "### Limitations \n", "\n", "The GP smoothing process is inherently an inference procedure, and may cause some undetermined amount of self-subtraction or artifical boosting. An even-more-precise approach could be to fit directly for the lines with their real line shapes, based on measured or inferred atmospheric conditions at the time of the measurement. TelFit and other frameworks offer such methods for telluric lines, and spectral synthesis for stars is also possible." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }