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Calculate contaminating AGN in CygOB2 survey
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| { | |
| "metadata": { | |
| "name": "calc_agn" | |
| }, | |
| "nbformat": 3, | |
| "nbformat_minor": 0, | |
| "worksheets": [ | |
| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Contaminating AGN in CygOB2 survey\n", | |
| "==========================================" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "import numpy as np\n", | |
| "import pyfits\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from IPython.core.display import Image" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 1 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "# Exposure map on 5x5 arcsec pixels (see script.pl which indicates\n", | |
| "# binning by 10)\n", | |
| "hdus = pyfits.open('expmap_ks.fits')\n", | |
| "expmap = hdus[0].data\n", | |
| "hdus.close()\n", | |
| "area = expmap.shape[0] * expmap.shape[1] * (4.95 / 3600) ** 2" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 2 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "figure(figsize=(6,6))\n", | |
| "imshow(expmap, origin='lower')" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "pyout", | |
| "prompt_number": 3, | |
| "text": [ | |
| "<matplotlib.image.AxesImage at 0x18fb5b50>" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "png": 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rCB/VkJJKHZSGmInFka7Yl8x52r42VXPtFimavFTHP2fOXy0TNimSzxvmOk93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NzE6VplJS1DTUu84Yy9zjCL/GHb7DLzPPJBe5jEdAkwr3Ocgi45iGolKp02qXqQdVbCeiajY6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\no5jAG4Zh5Cgm8IZhGDmKCbxhGEaO8v+r84HeR47XnwAAAABJRU5ErkJggg==\n" | |
| } | |
| ], | |
| "prompt_number": 3 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Compute equation (5) in http://arxiv.org/abs/1204.1977" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "def calc_dNdS(S):\n", | |
| " f_b = 8.1e-15\n", | |
| " beta_1 = 1.34\n", | |
| " beta_2 = 2.23\n", | |
| " K = 562.20e14\n", | |
| " S_ref = 1e-14\n", | |
| "\n", | |
| " dNdS = np.empty_like(S)\n", | |
| " ok = S <= f_b\n", | |
| " dNdS[ok] = K * (S[ok] / S_ref) ** -beta_1\n", | |
| " dNdS[~ok] = K * (f_b / S_ref) ** (beta_2 - beta_1) * (S[~ok] / S_ref) ** -beta_2\n", | |
| "\n", | |
| " return dNdS" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 4 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Energy conversion factor using WebPIMMS\n", | |
| "\n", | |
| "* Power law with $\\Gamma = 1.8$\n", | |
| "* Intrinsic $N_H = 0$\n", | |
| "* ACIS-I counts (0.5 - 8) keV to flux (0.5 - 8) keV\n", | |
| "* $N_H = 10^{22}, 2\\times 10^{22}, 4\\times 10^{22}$" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "# \n", | |
| "# ECF 1e-3 counts/sec <=> 2.45e-14 erg/cm2/s NH=1e22\n", | |
| "# 3.56e-14 N_H = 2e22\n", | |
| "# 5.43e-14 N_H = 4e22\n", | |
| "NHs = [1e22, 2e22, 4e22]\n", | |
| "flux2counts = 1e-3 / np.array([2.45e-14, 3.56e-14, 5.43e-14]) # counts/s / (erg/cm2/s)\n", | |
| "\n", | |
| "flux_bins = np.logspace(-17, -12, 200)\n", | |
| "fluxs = (flux_bins[1:] + flux_bins[:-1]) / 2\n", | |
| "dS = flux_bins[1:] - flux_bins[:-1]\n", | |
| "dNdS = calc_dNdS(fluxs)" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 5 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Compare my calculation of exposure histogram to Nick's" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "out = plt.hist(expmap.flatten(), bins=np.arange(10, 250, 2))\n", | |
| "xlabel('Exposure time (ksec)')\n", | |
| "ylabel('Pixels (5x5 arcsec)')\n", | |
| "grid()" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "png": 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YPENhWmpPrpg38jeuHqtOh8JeeOEF9OzZU1keNGgQCgoKOlTEWnocQHMvRa/X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\nLly4gHnz5uGll15Cv37+8z3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| |
| } | |
| ], | |
| "prompt_number": 6 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "Image(filename='exphisto.jpg')" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "jpeg": 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Rrc5Suj7Scwsy9512OSLF6BmPcngxsKWmJvKt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\n/wBvzvT9tgmKxun4O99S8yWA11n1+riEDhXRTXLXnXgbuYo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| |
| "output_type": "pyout", | |
| "prompt_number": 7, | |
| "text": [ | |
| "<IPython.core.display.Image at 0x18fac410>" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 7 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Compare my Differential Log N - Log S to http://arxiv.org/abs/1204.1977" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "loglog(fluxs, dNdS)\n", | |
| "grid()\n", | |
| "ylim(1e14, 1e21)\n", | |
| "out = xlim(1e-17, 1e-13)" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "png": 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| |
| } | |
| ], | |
| "prompt_number": 8 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "<img src=\"agn_logn_logs.png\">" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "Image(filename=\"agn_logn_logs.jpg\")" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "jpeg": 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DD8ib5JH2jA3Ox6k16t/w7z+AP/RDvhB/4R2nf/Ga3PgV8O9U8DeNPipe+I4Y4rfxT4uG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XFegV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\n9pq/h/UbBr61jwpvYYrqKA3NsGeP95G21wy7X+YGgD2WvEP20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| |
| "output_type": "pyout", | |
| "prompt_number": 9, | |
| "text": [ | |
| "<IPython.core.display.Image at 0x18fa9890>" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 9 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Compute Monte-Carlo realization of AGN source counts in field for three $N_H\\ $ cases" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "pred_n_srcs = dNdS * dS * area # predicted sources over expmap area in each flux bin\n", | |
| "\n", | |
| "src_cts_list = []\n", | |
| "for flux2count in flux2counts:\n", | |
| " src_cts = []\n", | |
| " for pred_n_src, flux in zip(pred_n_srcs, fluxs):\n", | |
| " # sample from predict n_srcs (expect number of sources in this flux bin)\n", | |
| " N = np.random.poisson(lam=pred_n_src)\n", | |
| " # Select N positions on the expmap randomly\n", | |
| " idx = np.random.randint(expmap.size, size=N)\n", | |
| " secs = expmap.flatten().take(idx) * 1000\n", | |
| " # Convert flux to counts per second\n", | |
| " cts_per_sec = flux * flux2count\n", | |
| " cts = cts_per_sec * secs\n", | |
| " cts = cts[cts > 0.01] # throw away sources < 0.01 counts\n", | |
| " src_cts.extend(cts)\n", | |
| "\n", | |
| " src_cts = np.array(src_cts)\n", | |
| " src_cts_list.append(src_cts)" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 11 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Plot distribution of source counts" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "for src_cts in src_cts_list:\n", | |
| " out = hist(np.log10(src_cts), bins=np.linspace(-2, 5, 40), log=True, alpha=0.5)\n", | |
| " ylabel('Number of sources')\n", | |
| " xlabel('Log10(counts)')\n", | |
| " grid()" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "png": 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| |
| } | |
| ], | |
| "prompt_number": 29 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Plot expected number of AGN in survey vs. detection threshold" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "for src_cts, nh in zip(src_cts_list, NHs):\n", | |
| " min_cts = np.linspace(2, 10, 20)\n", | |
| " n_agn = [sum(src_cts > min_ct) for min_ct in min_cts]\n", | |
| " plot(min_cts, n_agn, label='$N_H=%d\\\\times 10^{22}$' % (nh / 1e22))\n", | |
| "\n", | |
| "grid()\n", | |
| "ylabel('Number of AGN')\n", | |
| "xlabel('Counts threshold')\n", | |
| "title('Number AGN above detection threshold')\n", | |
| "legend(loc='upper right')" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "pyout", | |
| "prompt_number": 26, | |
| "text": [ | |
| "<matplotlib.legend.Legend at 0x1ac9fa50>" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "png": 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DBg1C/8/zk+rr6wMANDQ0MHToUERHRwMo2GIQi8UwMzODqakpxGIxX56UlAQz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\n" | |
| } | |
| ], | |
| "prompt_number": 26 | |
| } | |
| ], | |
| "metadata": {} | |
| } | |
| ] | |
| } |
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