{ "cells": [ { "cell_type": "markdown", "id": "c3178c23", "metadata": {}, "source": [ "## Telluric correction with `muler` and `gollum`\n", "\n", "Telluric correction can be complicated, with the right approach depending on one's own science application. In this notebook we demonstrate one uncontroversial, albeit imperfect approach: dividing by an observed A0V standard, and multiplying back by an A0V template.\n", "\n", "#### August 24, 2021: This method is under active development" ] }, { "cell_type": "code", "execution_count": 1, "id": "18d434f2", "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format='retina'\n", "from muler.hpf import HPFSpectrum" ] }, { "cell_type": "code", "execution_count": 2, "id": "b8da2783", "metadata": {}, "outputs": [], "source": [ "path = 'https://github.com/OttoStruve/muler_example_data/raw/main/HPF/01_A0V_standards/'\n", "filename = 'Goldilocks_20210517T054403_v1.0_0060.spectra.fits'\n", "spectrum = HPFSpectrum(file=path+filename, order=19)" ] }, { "cell_type": "code", "execution_count": 3, "id": "3ec7dbad", "metadata": {}, "outputs": [], "source": [ "spectrum = spectrum.normalize().sky_subtract(method='vector').deblaze().normalize()" ] }, { "cell_type": "markdown", "id": "9a2d8b39", "metadata": {}, "source": [ "### Retrieve and doctor the model with `gollum`\n", "\n", "`gollum` is a sister project to muler. While not a dependency, it has lots of parallel use cases and we hope you will install it too. It makes it easy to retrieve and manipulate theoretical models. Follow the instructions in gollum for downloading the raw high-resolution PHOENIX models." ] }, { "cell_type": "code", "execution_count": 4, "id": "e745e3d1", "metadata": {}, "outputs": [], "source": [ "from gollum.phoenix import PHOENIXSpectrum" ] }, { "cell_type": "code", "execution_count": 5, "id": "135b90d7", "metadata": {}, "outputs": [], "source": [ "wl_lo, wl_hi = spectrum.wavelength.min().value*0.998, spectrum.wavelength.max().value*1.002" ] }, { "cell_type": "code", "execution_count": 6, "id": "edebbc5f", "metadata": {}, "outputs": [], "source": [ "native_resolution_template = PHOENIXSpectrum(teff=9600, logg=4.5, download=True,\n", " wl_lo=wl_lo, wl_hi=wl_hi).normalize()" ] }, { "cell_type": "code", "execution_count": 7, "id": "b7d6f03d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 280, "width": 624 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = spectrum.plot(ylo=0.0, yhi=1.5, label='Observed A0V')\n", "native_resolution_template.plot(ax=ax, label='Native resolution A0V template')\n", "ax.set_xlim(10_820, 10_960)\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "3927f332", "metadata": {}, "source": [ "The deep Hydrogen lines appear to have a different shape, since the A0V template is shown with near-infinite resolution. Let's \"doctor the template\" with rotational broadening." ] }, { "cell_type": "code", "execution_count": 8, "id": "edf0ee65", "metadata": {}, "outputs": [], "source": [ "A0V_model = native_resolution_template.rotationally_broaden(130.0)\n", "A0V_model = A0V_model.instrumental_broaden() # \"just works\" for HPF\n", "A0V_model = A0V_model.rv_shift(25.0)\n", "A0V_model = A0V_model.resample(spectrum)" ] }, { "cell_type": "code", "execution_count": 9, "id": "d7ad087a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 280, "width": 608 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = spectrum.plot(ylo=0.0, yhi=1.5, label='Observed A0V')\n", "A0V_model.plot(ax=ax, label='Fine-tuned A0V model')\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "f50c371f", "metadata": {}, "source": [ "Awesome! That's a better fit! Let's compute the ratio." ] }, { "cell_type": "code", "execution_count": 10, "id": "55b3aab6", "metadata": {}, "outputs": [], "source": [ "telluric_response = spectrum / A0V_model" ] }, { "cell_type": "code", "execution_count": 11, "id": "91412dd8", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 280, "width": 608 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = telluric_response.plot(ylo=0);\n", "ax.axhline(1.0, linestyle='dotted', color='k');" ] }, { "cell_type": "markdown", "id": "4c0ec18e", "metadata": {}, "source": [ "We see that the telluric response exhibits sharp discrete lines from the atmosphere. The spectrum also exhibits a smooth continuum variation likely attributable to the imperfections in the A0V templates. The imperfect A0V templates are a known limitation of this telluric correction strategy. " ] } ], "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 }