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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import numpy as np\n",
"import astropy.units as u\n",
"from dust_extinction.dust_extinction import F99\n",
"from astropy.table import Table"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Enter RV, E(B-V), and Spectrum filename/path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"RV=3.1\n",
"ebv=0.25 #randomly chosen for illustration\n",
"spectrum='myspec.ascii' #spectrum of OGLE-2014-SN131 (Karamehmetoglu et al. 2017)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Read spectrum in to Astropy Table\n",
"# De-redden spectrum by RV and E(B-V) following F99\n",
"# Plot and save extinction corrected spectrum."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"wrote out as: myspec_extcorr.ascii\n"
]
},
{
"data": {
"image/png": 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gc+fOaN68OWrXro2kpCRcv34dubm5akEUIYSUVNRDYmSMsZeMsRjGWAyAfF2TM8sNYUDi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IAAAg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\nAABQRiABAADKCCQAAECZD7YQqVqNommXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115b3d150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Read spectrum in to astropy table\n",
"AT=Table.read(spectrum, format='ascii',names=['wav','flux'])\n",
"AT['wav'].unit=u.AA #Set wavelength unit to angstrom\n",
"\n",
"#de-redden spectrum\n",
"ext = F99(Rv=RV)\n",
"AT['extcorr']=AT['flux']/ext.extinguish(AT['wav'], Ebv=ebv)\n",
"\n",
"#plot\n",
"fig,ax=plt.subplots()\n",
"ax.plot(AT['wav'],AT['flux'],label='original spec')\n",
"ax.plot(AT['wav'],AT['extcorr'],label='de-reddened by E(B-V)='+str(ebv)+', RV='+str(RV))\n",
"ax.set_yscale('log')\n",
"ax.legend(frameon=True)\n",
"\n",
"#write out to file\n",
"AT[['wav','extcorr']].write(spectrum.split('.')[0]+'_extcorr.ascii',format='ascii.no_header',overwrite=True)\n",
"print('wrote out as: '+spectrum.split('.')[0]+'_extcorr.ascii')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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