jason-neal/eniric

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docs/Notebooks/Precison_with_doppler-Z-band.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Doppler shifts\n",
    "Exploring doppler shift on precision and quality. Specifically in the Z-band.\n",
    "\n",
    "This showed the largest change with application of dopplershifts (Fegueira 2016 Fig. C.3 and C.4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from tqdm import tqdm\n",
    "import PyAstronomy.pyasl as pyasl\n",
    "from astropy import constants as const\n",
    "\n",
    "import eniric\n",
    "from eniric import config\n",
    "\n",
    "# config.cache[\"location\"] = None  # Disable caching for these tests\n",
    "config.cache[\"location\"] = \".joblib\"  # Enable caching\n",
    "\n",
    "from eniric.broaden import rotational_convolution, resolution_convolution\n",
    "from eniric.utilities import band_limits, load_aces_spectrum, wav_selector\n",
    "from scripts.phoenix_precision import convolve_and_resample\n",
    "from eniric.snr_normalization import snr_constant_band\n",
    "from eniric.precision import rv_precision, quality\n",
    "from eniric.utilities import doppler_shift_wav, doppler_shift_flux\n",
    "from eniric.atmosphere import Atmosphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convolution settings\n",
    "epsilon = 0.6\n",
    "vsini = 10.0\n",
    "R = 40000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "wav1, flux1 = load_aces_spectrum([3900, 4.5, 0.0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "zmin_, zmax_ = band_limits(\"Z\")\n",
    "# To avoid the strong telluric band limititations will shrink limits\n",
    "span = zmax_ - zmin_\n",
    "zmin_ = zmin_ + 0.1 * span\n",
    "zmax_ = zmax_ - 0.1 * span\n",
    "\n",
    "from eniric.utilities import doppler_limits\n",
    "\n",
    "# doppler resilient boundraries\n",
    "rvmax = 10000  # km/s\n",
    "zmin_dop, zmax_dop = doppler_limits(rvmax, zmin_, zmax_)\n",
    "\n",
    "wav1, flux1 = wav_selector(wav1, flux1, zmin_dop, zmax_dop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# PyAstronomy requires even spaced wavelength (eniric does not)\n",
    "wav = np.linspace(wav1[0], wav1[-1], len(wav1))\n",
    "\n",
    "flux = np.interp(wav, wav1, flux1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Normalization\n",
    "const = snr_constant_band(wav, flux, snr=100, band=\"Z\")\n",
    "flux = flux / const"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "atm__ = Atmosphere.from_file(atmmodel=\"../../data/atmmodel/Average_TAPAS_2014.dat\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "atm_ = atm__.copy()\n",
    "atm_.wave_select(zmin_dop, zmax_dop)\n",
    "atm_.mask_transmission(depth=2)\n",
    "# atm_.barycenter_broaden(30,consecutive_test=False)\n",
    "atm_2 = atm_.copy()\n",
    "atm_.wave_select(zmin_dop, zmax_dop)\n",
    "\n",
    "\n",
    "def qfunc(wav, flux):\n",
    "    # Func to calculate the 4 precision versions\n",
    "    atm = atm_.at(wav)\n",
    "    rva = rv_precision(wav, flux)\n",
    "    rvb = rv_precision(wav, flux, mask=atm.mask)\n",
    "    rvc = rv_precision(wav, flux, mask=atm.transmission ** 2)\n",
    "    q = quality(wav, flux)\n",
    "    return rva, rvb, rvc, q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 400/400 [01:05<00:00,  6.22it/s]\n"
     ]
    }
   ],
   "source": [
    "shifts = np.arange(-200, 200, 1)\n",
    "# shifts = [1000]\n",
    "rv1s, rv2s, rv3s, qs = [], [], [], []\n",
    "nwav, _ = wav_selector(wav, flux, zmin_, zmax_)\n",
    "\n",
    "for shift in tqdm(shifts):\n",
    "    nflux = doppler_shift_flux(wav, flux, shift, new_wav=nwav)\n",
    "    a, b, c, d = qfunc(nwav, nflux)\n",
    "    rv1s.append(a.value)\n",
    "    rv2s.append(b.value)\n",
    "    rv3s.append(c.value)\n",
    "    qs.append(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# rv2 with bary shifted mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 400/400 [00:25<00:00, 15.92it/s]\n"
     ]
    }
   ],
   "source": [
    "atm_2.barycenter_broaden(30, consecutive_test=False)\n",
    "\n",
    "\n",
    "def qfunc2(wav, flux):\n",
    "    # Func to calculate the 4 precision versions\n",
    "    atm = atm_2.at(wav)\n",
    "    rvb = rv_precision(wav, flux, mask=atm.mask)\n",
    "    return rvb\n",
    "\n",
    "\n",
    "rv2s_bary = []\n",
    "\n",
    "for shift in tqdm(shifts):\n",
    "    nflux = doppler_shift_flux(wav, flux, shift, new_wav=nwav)\n",
    "    b2 = qfunc2(nwav, nflux)\n",
    "    rv2s_bary.append(b2.value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(5, 1, sharex=True, figsize=(10, 7))\n",
    "axs[0].plot(shifts, rv1s, \"o-\", label=\"rv1\")\n",
    "axs[0].legend(loc=1)\n",
    "axs[0].set_ylabel(\"Precision (m/s)\")\n",
    "\n",
    "axs[1].plot(shifts, rv2s, \"x-\", label=\"rv2 without Bary\")\n",
    "axs[1].legend(loc=1)\n",
    "axs[1].set_ylabel(\"Precision (m/s)\")\n",
    "\n",
    "axs[2].plot(shifts, rv2s_bary, \"x-\", label=\"rv2 with Bary\")\n",
    "axs[2].legend(loc=1)\n",
    "axs[2].set_ylabel(\"Precision (m/s)\")\n",
    "\n",
    "axs[3].plot(shifts, rv3s, \".-\", label=\"rv3\")\n",
    "axs[3].legend(loc=1)\n",
    "axs[3].set_ylabel(\"Precision (m/s)\")\n",
    "\n",
    "axs[4].plot(shifts, qs, \"o-\", label=\"quality\")\n",
    "axs[4].set_xlabel(\"RV (km/s)\")\n",
    "axs[4].set_ylabel(\"Quality\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For precision relative to 100 in the Z band.\n",
    "Applying doppler shifts of $+/- 200$ km/s only produce changes of $< \\pm0.01$ m/s for conditions 1 and 3, and $\\pm 0.1-0.05$ m/s for condition 2.\n",
    "\n",
    "There is a slight slope due to the shape of the input spectrum.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The large increase in the Z-band at +/-10km/s Figueria et al 2016 Appendix C is not observed here. This is due to the previous errors in condition #2.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Telluric mask: 63314/138707 = 45.6%\n",
      "Mask with Bary shift:: 34141/138707 = 24.6%\n"
     ]
    }
   ],
   "source": [
    "atm_spec = atm_.at(wav)\n",
    "sum1, len1 = np.sum(atm_spec.mask), len(atm_spec.mask)\n",
    "atm_spec2 = atm_2.at(wav)  # With bary shift\n",
    "sum2, len2 = np.sum(atm_spec2.mask), len(atm_spec2.mask)\n",
    "\n",
    "print(\"Telluric mask: {0:d}/{1:d} = {2:.03}%\".format(sum1, len1, 100 * sum1 / len1))\n",
    "print(\n",
    "    \"Mask with Bary shift:: {0:d}/{1:d} = {2:4.03}%\".format(\n",
    "        sum2, len2, 100 * sum2 / len2\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Applying the telluric mask reduces the spectrum analyzed to 45%, This inclusion for barycentric shift reduces this to 25% of the original spectra so there is a large increase in RV error."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cross correlations\n",
    "\n",
    "Between a synthetic spectrum and atmospheric model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PyAstronomy.pyasl import crosscorrRV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "138707 5184211\n"
     ]
    }
   ],
   "source": [
    "# Cross correlation of spectra wth telluric mask\n",
    "xwav = np.linspace(zmin_, zmax_, len(wav1))\n",
    "xflux = np.interp(xwav, wav1, flux1)\n",
    "# trans = atm_.at(xwav).transmission()\n",
    "print(len(xwav), len(atm_.wl))\n",
    "\n",
    "s, corr = crosscorrRV(\n",
    "    xwav,\n",
    "    xflux,\n",
    "    atm_.wl,\n",
    "    atm_.transmission,\n",
    "    rvmin=-200,\n",
    "    rvmax=200,\n",
    "    drv=2,\n",
    "    mode=\"doppler\",\n",
    "    skipedge=10000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Cross correlation of spectra wth telluric mask\n",
    "# PyAstronomy requires even spaced wavelength (eniric does not)\n",
    "xwav = np.linspace(zmin_, zmax_, len(wav1))\n",
    "xflux = np.interp(xwav, wav1, flux1)\n",
    "atm2 = atm_.at(xwav)\n",
    "\n",
    "s2, corr2 = crosscorrRV(\n",
    "    atm2.wl,\n",
    "    atm2.transmission,\n",
    "    wav1,\n",
    "    flux1,\n",
    "    rvmin=-200,\n",
    "    rvmax=200,\n",
    "    drv=1,\n",
    "    mode=\"doppler\",\n",
    "    skipedge=10000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Cross correlations\n",
    "plt.plot(s, corr / np.mean(corr), label=\"template=atm\")\n",
    "plt.plot(s2, corr2 / np.mean(corr2), label=\"template=spectrum\")\n",
    "\n",
    "plt.xlabel(\"RV shift (km/s)\")\n",
    "plt.ylabel(\"Correlation\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Auto Correletations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "wavauto, corr_wav_auto = crosscorrRV(\n",
    "    wav1,\n",
    "    flux1,\n",
    "    wav1,\n",
    "    flux1,\n",
    "    rvmin=-200,\n",
    "    rvmax=200,\n",
    "    drv=1,\n",
    "    mode=\"doppler\",\n",
    "    skipedge=10000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "atmauto, corr_atm_auto = crosscorrRV(\n",
    "    atm2.wl,\n",
    "    atm2.transmission,\n",
    "    atm2.wl,\n",
    "    atm2.transmission,\n",
    "    rvmin=-200,\n",
    "    rvmax=200,\n",
    "    drv=1,\n",
    "    mode=\"doppler\",\n",
    "    skipedge=10000,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x251115f86d8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wavauto, corr_wav_auto / max(corr_wav_auto), label=\"Spectrum Autocorrelation\")\n",
    "plt.plot(\n",
    "    atmauto, corr_atm_auto / max(corr_atm_auto), label=\"Atmosphere Autocorrelation\"\n",
    ")\n",
    "plt.plot(s, corr / max(corr), label=\"Cross Correlation\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "\n",
    "ax1.plot(s, corr / np.max(corr), \"g\", label=\"xcorr\")\n",
    "ax2.plot(shifts, rv3s, \"b--\", label=\"RV3\")\n",
    "\n",
    "ax1.set_xlabel(\"RV shift (km/s)\")\n",
    "ax1.set_ylabel(\"Xcorr\", color=\"g\")\n",
    "ax2.set_ylabel(\"Precision\", color=\"b\")\n",
    "# plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}