{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compute the expected signal (in ADU) per pixel using Telesto telescope - Example: observation of Proxima Centauri"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Access and plot the Telesto filter transmission curves\n",
    "### These correspond to Bessell (Johnson-Cousins) UBVRI filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from synphot import SpectralElement\n",
    "\n",
    "# Define filter names and colors for plotting\n",
    "filters = ['johnson_u', 'johnson_b', 'johnson_v', 'johnson_r', 'johnson_i']\n",
    "labels = ['U', 'B', 'V', 'R', 'I']\n",
    "colors = ['purple', 'blue', 'green', 'orange', 'red']\n",
    "\n",
    "# Plot each filter's transmission curve\n",
    "for f, label, color in zip(filters, labels, colors):\n",
    "    filt = SpectralElement.from_filter(f)\n",
    "    plt.plot(filt.waveset, filt(filt.waveset), label=label, color=color)\n",
    "\n",
    "plt.xlabel('Wavelength (A)')\n",
    "plt.ylabel('Transmission')\n",
    "plt.title('Johnson-Cousins Filter Transmission Curves')\n",
    "plt.ylim(0, 1.1)\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Access and plot the QE curve of Telesto, download it here {https://plone.unige.ch/astrodome/observations/content/qe-curve/view}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.interpolate import CubicSpline\n",
    "\n",
    "# Load QE data from CSV\n",
    "qe_data = pd.read_csv('/Users/maddalenabugatti/Downloads/QE_Telesto.csv')\n",
    "wavelength = qe_data['x'].values               # Wavelength in Angstroms\n",
    "qe_values = qe_data[' y'].values               # Quantum efficiency\n",
    "\n",
    "# Plot the QE curve\n",
    "plt.plot(wavelength, qe_values, '-', label='QHY600 QE', color='black')\n",
    "plt.xlabel('Wavelength (A)')\n",
    "plt.ylabel('Quantum Efficiency')\n",
    "plt.title('Quantum Efficiency Curve (QHY600)')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Proxima Centauri and Telesto general data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "N_pixels                = 16                # PSF TELESTO\n",
    "Gain                    = 1.0               # Gain of the detector\n",
    "\n",
    "stellar_radius          = 98093699.99       # in m , for Proxima Centauri \n",
    "st_distance             = 1.302             # in parsec , for Proxima Centauri\n",
    "pc                      = 3.08567758e16     # 1 parsec, in m\n",
    "st_distance             = st_distance * pc  # Convert distance to meters\n",
    "\n",
    "c                       = 2.99792458e8      # speed of light in m/s\n",
    "h                       = 6.62607015e-34    # Planck's constant in J*s\n",
    "telescope_eff_surface   = 0.190             # TELESTO area in m^2 (with obstructions)\n",
    "transmission_telescope  = 0.7               # Transmission efficiency of the telescope\n",
    "exposure_time           = 30                # Exposure time in seconds"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simplified method — using star magnitude with mean filter transmission and QE values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Signal from star in V band in 30 s: 4.83e+04 ADU\n"
     ]
    }
   ],
   "source": [
    "mean_T_filter           = 0.81               # Mean filter transmission\n",
    "filter_FWHM             = 814               # Filter FWHM in A\n",
    "mean_QE_detector        = 0.82              # Mean QE\n",
    "effective_wavelength    = 5490.6            # Effective wavelength (V band, in A)\n",
    "\n",
    "m_star                  = 11.13             # Star magnitude in V band\n",
    "F_0_visible             = 3.67e-9           # Zero point flux in erg/s/cm^2/A for V band\n",
    "flux_star               = F_0_visible*10**(-0.4 * (m_star))  # Star flux in erg/s/cm^2/A\n",
    "spec_star = flux_star / 1e3                 # J/s/m^2/A\n",
    "spec_star = spec_star / (h * c / (effective_wavelength * 1e-10)) # photons/s/m^2/A\n",
    "spec_star_ph = spec_star * telescope_eff_surface        # photons/s/A (inside telescope)\n",
    "\n",
    "first_term = transmission_telescope*exposure_time/(N_pixels*Gain)\n",
    "ADU_signal = first_term*spec_star_ph * mean_T_filter * mean_QE_detector * filter_FWHM \n",
    "\n",
    "print(f\"Signal from star in V band in {exposure_time} s: {ADU_signal:.2e} ADU\")\n",
    "\n",
    "######################################################################################"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More complicated method - star spectrum, filter transmission, and QE curves\n",
    "To compute the star spectrum we will use the python package Expecto.\n",
    "Expecto is designed to provide synthetic stellar spectra based on stellar atmosphere models (Phoenix model). It allows users to generate realistic spectral energy distributions (SEDs) for stars by specifying basic physical parameters such as: Effective temperature, Surface gravity, Metallicity. For the full documentation please refer to: https://expecto.readthedocs.io/en/latest/.\n",
    "\n",
    "The 'get_spectrum' function may take a while to run. Once you've run it once, it's recommended to comment out that line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Signal from star in V band in 30 s: 1.42e+05 ADU\n"
     ]
    }
   ],
   "source": [
    "from expecto import get_spectrum\n",
    "import numpy as np\n",
    "from scipy.interpolate import interp1d\n",
    "\n",
    "# Get spectrum from Expecto (in erg/s/cm2/A) and convert wavelength to A\n",
    "# Expecto package, the effective temperature for Proxima is 3000 K and the surface gravity, log(g) is 5.0\n",
    "#spectrum_proxima = get_spectrum(T_eff=3000, log_g=5, cache=False, vacuum=True)\n",
    "flux = spectrum_proxima.flux.value / 1e8           # erg/s/cm2/A\n",
    "wave = spectrum_proxima.wavelength.value           # A\n",
    "\n",
    "# Convert to photon flux at telescope aperture\n",
    "photons = flux / 1e3                                # J/s/m2/A\n",
    "photons /= (h * c / (wave * 1e-10))                 # photons/s/m2/A\n",
    "photons *= 4 * np.pi * stellar_radius**2            # total photons/s/A\n",
    "photons /= (4 * np.pi * st_distance**2)             # photons/s/m2/A at Earth\n",
    "photons *= telescope_eff_surface                    # photons/s/A collected\n",
    "\n",
    "# Interpolate filter transmission and QE to match spectrum sampling\n",
    "V_filter = SpectralElement.from_filter('johnson_v')\n",
    "T_filter = interp1d(V_filter.waveset.value, V_filter(V_filter.waveset).value, bounds_error=False, fill_value=0)(wave)\n",
    "QE_det = interp1d(wavelength, qe_values, bounds_error=False, fill_value=0)(wave)\n",
    "\n",
    "# Combine photon flux, filter, and detector response\n",
    "photon_rate_weighted = photons * T_filter * QE_det\n",
    "\n",
    "# Integrate over wavelength to get total photon rate in filter band\n",
    "total_photons_per_s = np.trapz(photon_rate_weighted, wave)\n",
    "\n",
    "# Compute final ADU signal\n",
    "first_term = transmission_telescope * exposure_time / (N_pixels * Gain)\n",
    "ADU_signal = first_term * total_photons_per_s\n",
    "\n",
    "print(f\"Signal from star in V band in {exposure_time:.0f} s: {ADU_signal:.2e} ADU\")\n",
    "\n",
    "######################################################################################"
   ]
  }
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