{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compatibility of wind turbines with RAS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## License\n",
    "\n",
    "```\n",
    "Wind turbine compatibility with RAS observations.\n",
    "Copyright (C) 2015+  Benjamin Winkel (bwinkel@mpifr.de)\n",
    "\n",
    "This program is free software; you can redistribute it and/or\n",
    "modify it under the terms of the GNU General Public License\n",
    "as published by the Free Software Foundation; either version 2\n",
    "of the License, or (at your option) any later version.\n",
    "\n",
    "This program is distributed in the hope that it will be useful,\n",
    "but WITHOUT ANY WARRANTY; without even the implied warranty of\n",
    "MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n",
    "GNU General Public License for more details.\n",
    "\n",
    "You should have received a copy of the GNU General Public License\n",
    "along with this program; if not, write to the Free Software\n",
    "Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Studying reflections of 3rd-party services by wind turbines\n",
    "The third and final notebook about compatibility considerations between RAS and wind turbines is about the (probably rarer) case of reflections. A 3rd-party service might operate in the same area and a wind turbine (WT), being relatively high, may produce reflections that might disturb RAS observations. Naively, the reflected signal is expected to be much weaker at the radio telescope (RT) than the unwanted emission form the 3rd-party transmitter directly. Still, it would be good to do a sanity check and doing the calculations might also give some insights, how pycraf can be utilized for such analyses."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the notebook about [Fixed service links](https://github.com/bwinkel/pycraf/blob/master/notebooks/A01_case_study_fixed_link.ipynb) we already looked at how much unwanted emission from a fixed-link (FL) transmitter would make it to the RAS receiver. Here, we put a wind turbine close to the FL and calculate how much is reflected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RADAR\n",
    "For such a scenario, the RADAR equation seems an appropriate tool, which returns the strength of a RADAR pulse that is first transmitted, then reflected off some target, and eventually received by the RADAR receiver. The detected RADAR pulse is weaker than the emitted pulse by a ratio that goes with distance to the 4th power. However, in our case, the receiver and transmitter are not at the same location, so the detected signal is proportional to $d_\\mathrm{fl,wt}^2 d_\\mathrm{wt,rt}^2$. The RADAR equation\n",
    "\n",
    "$$\n",
    "P_\\mathrm{rt} = \\frac{G_\\mathrm{fl} P_\\mathrm{fl}}{4\\pi d_\\mathrm{fl,wt}^2} \\sigma \\frac{A_\\mathrm{eff}}{4\\pi d_\\mathrm{wt,rt}^2}\n",
    "$$\n",
    "\n",
    "gives us the following recipe:\n",
    "\n",
    "- Calculate power flux density at WT from FL emission; depends on $d_\\mathrm{fl,wt}^2$. For accurate results calculate full path attenuation and account for FL antenna pattern.\n",
    "- Determine re-emitted power, which is simply this power flux density multiplied with RADAR cross-section, $\\sigma$.\n",
    "- Do path propagation loss calculations to determine received power at RT. The effective area of the RT, $A_\\mathrm{eff}$, is very small if we again consider the 0-dBi case.\n",
    "\n",
    "Note, the RADAR cross section depends on the target's area, and its surface directivity and reflectivity. For simplicity, we will assume that the WT's surface directivity is isotropic (i.e., the incident wave is reflected equally into all directions). This is certainly not quite true, but we are not aware of measurements of real WT cross sections. For the reflectivity, we think that 90% for the base (made of steel and concrete) and 10% for the rotor (composite material) could be realistic. \n",
    "\n",
    "These calculations are straight forward. However, the path loss depends on the heights of the reflecting surface. Therefore, our strategy will be to split the WT into height bins and do the calculation for each little patch individually."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from shapely.geometry import Polygon, Point, MultiPoint\n",
    "from pycraf import antenna, pathprof, geometry, conversions as cnv\n",
    "from astropy import units as u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preparations\n",
    "Before we can start, we need to know the geometric area of the wind turbines (separatly for base and rotor) as a function of height. In the following, all quantities are binned by height, with a bin width of 1-m. To obtain the area height profile, we will parametrize the WT by small quadratic patches. Of course, one could work this out analytically as well, but the following approach would be easier to apply to more complicated reflective surfaces."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# define wind turbine (100 m) as polygon, can be scaled, if necesary\n",
    "\n",
    "d_base, d_gen, h_base = 8, 4, 160\n",
    "\n",
    "_wbase_poly = np.array([\n",
    "    (0, 0), (d_base / 2, 0), (d_gen / 2, h_base),\n",
    "    (-d_gen / 2, h_base), (-d_base / 2, 0), (0, 0)\n",
    "    ])\n",
    "\n",
    "alpha = 0  # w.r.t. zenith\n",
    "r_rot, base_rot = 80, 5\n",
    "_u = base_rot / 2\n",
    "_v = _u / np.sqrt(3)\n",
    "_w = _v + r_rot\n",
    "\n",
    "sa, ca = np.sin(np.radians(alpha)), np.cos(np.radians(alpha))\n",
    "s120, c120 = np.sin(np.radians(-120)), np.cos(np.radians(-120))\n",
    "s240, c240 = np.sin(np.radians(-240)), np.cos(np.radians(-240))\n",
    "\n",
    "_wrot_poly0 = np.array([\n",
    "    (0, _w),\n",
    "    (-_u, _w),\n",
    "    (-1.5 * _u, 1.5 * _v),\n",
    "    (_w * s120, _w * c120),\n",
    "    (-_u * c120 + _w * s120, _u * s120 + _w * c120),\n",
    "    (-1.5 * _u * c120 + 2 * _v * s120, 1.5 * _u * s120 + 2 * _v * c120),\n",
    "    (_w * s240, _w * c240),\n",
    "    (-_u * c240 + _w * s240, _u * s240 + _w * c240),\n",
    "    (-1.5 * _u * c240 + 2 * _v * s240, 1.5 * _u * s240 + 2 * _v * c240),\n",
    "    (0, _w)\n",
    "    ])\n",
    "_wrot_poly = np.array([\n",
    "    (t[0] * ca + t[1] * sa, -t[0] * sa + t[1] * ca + h_base)\n",
    "    for t in _wrot_poly0\n",
    "    ])\n",
    "\n",
    "\n",
    "wbase_poly = Polygon(_wbase_poly)\n",
    "wrot_poly = Polygon(_wrot_poly)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
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ly8tt7XNzg89EZDv2rIgMu/lmoFUr4G9/8//cypWBTZuAKlWCz0VkCntWRA7IzQVKl07s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\nRURE81KsIiKief8Bsb6G1eJ0U6wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c3896d400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(8, 10))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.plot(_wbase_poly[:, 0], _wbase_poly[:, 1], 'g-')\n",
    "ax.plot(_wrot_poly[:, 0], _wrot_poly[:, 1], 'b-')\n",
    "ax.set_xlabel('x [m]')\n",
    "ax.set_ylabel('z [m]')\n",
    "ax.set_aspect(1.)\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_points(poly, grid_spacing):\n",
    "    grid = grid_spacing\n",
    "    bounds = poly.bounds\n",
    "    w_x, w_z = np.meshgrid(\n",
    "        np.arange(bounds[0], bounds[2] + grid / 2, grid),\n",
    "        np.arange(bounds[1], bounds[3] + grid / 2, grid),\n",
    "        )\n",
    "    w_y = w_x * 0.\n",
    "    points = np.fromiter(\n",
    "        zip(w_x.flatten(), w_y.flatten(), w_z.flatten()),\n",
    "        dtype=np.dtype([('x', 'f8'), ('y', 'f8'), ('z', 'f8')])\n",
    "        )\n",
    "    mask = np.array([\n",
    "        poly.contains(Point(x, z)) for (x, y, z) in points\n",
    "        ], dtype=bool)\n",
    "    return points[mask]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# sample with 1-m grid\n",
    "GRID_SPACING = 1\n",
    "wbase_points = make_points(wbase_poly, GRID_SPACING)\n",
    "wrot_points = make_points(wrot_poly, GRID_SPACING)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5QxAsiJQ4q1pX+d427kWmKNnYQ6TEmTRrEq56xl9fcMp+U3BJwyXR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\neHiNv4ovxQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c388cc828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(8, 10))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.scatter(wbase_points['x'], wbase_points['z'], c='g', edgecolor='none')\n",
    "ax.scatter(wrot_points['x'], wrot_points['z'], c='b', edgecolor='none')\n",
    "ax.set_xlabel('x [m]')\n",
    "ax.set_ylabel('z [m]')\n",
    "ax.set_aspect(1.)\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This may be a bit coarse for calculating the area height profile. Let's increase the resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def wt_area_profile(points, hminmax=None):\n",
    "    if hminmax is None:\n",
    "        hmin, hmax = points['z'].min(), points['z'].max()\n",
    "    else:\n",
    "        hmin, hmax = hminmax\n",
    "    height_bins = np.arange(np.floor(hmin), np.ceil(hmax), 1)\n",
    "    height_mids = height_bins[:-1] + np.diff(height_bins) / 2\n",
    "\n",
    "    hist, _ = np.histogram(points['z'], height_bins)\n",
    "    bin_area = hist * GRID_SPACING ** 2\n",
    "    \n",
    "    return height_mids, bin_area"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following is rather slow, but we have to do it only once, so it's ok."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# height-bin windmill\n",
    "GRID_SPACING = 0.1\n",
    "wbase_points = make_points(wbase_poly, GRID_SPACING)\n",
    "wrot_points = make_points(wrot_poly, GRID_SPACING)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "all_heights = np.hstack([wbase_points['z'], wrot_points['z']])\n",
    "hmin, hmax = np.floor(all_heights.min()) - 1, np.ceil(all_heights.max()) + 1\n",
    "\n",
    "wbase_hmids, wbase_binarea = wt_area_profile(wbase_points, (hmin, hmax))\n",
    "wrot_hmids, wrot_binarea = wt_area_profile(wrot_points, (hmin, hmax))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Later, we'll only need the effective area per height bin (i.e., after applying RADAR cross section)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "eta_wbase, eta_wrot = 0.9, 0.1\n",
    "cross_section = eta_wbase * wbase_binarea + eta_wrot * wrot_binarea\n",
    "hmids = wbase_hmids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DjKFwZAzFDy0vIYTwEt8VFD+1vILRq922DT74IOBvWysm9KRNyBHMyNOEHO2S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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c388342b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6, 10))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.plot(wbase_binarea, wbase_hmids, 'b--', label='Base area')\n",
    "ax.plot(wrot_binarea, wrot_hmids, 'b-.', label='Rotor area')\n",
    "ax.plot(cross_section, hmids, 'k', lw=2, label='Cross section')\n",
    "ax.legend(*ax.get_legend_handles_labels())\n",
    "ax.set_ylim((hmin, hmax))\n",
    "ax.set_xlabel('Area per bin [m^2]')\n",
    "ax.set_ylabel('Height [m]')\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total cross section: 989.7 m2\n"
     ]
    }
   ],
   "source": [
    "print('Total cross section: {:.1f}'.format(cross_section.sum() * u.m ** 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting up some coordinates. Because we suspect, that the reflected power will be much lower than from the direct path, we'll put the WT really close to the FL transmitter. It should be noted, though, that the WT is then in the near-field of the FL Tx, such that P.452 doesn't apply anymore."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# set-up coordinates\n",
    "lon_rt, lat_rt = 6.8836 * u.deg, 50.525 * u.deg  # 100-m Effelsberg radio telescope\n",
    "lon_fl_tx, lat_fl_tx = 6.938 * u.deg, 50.494 * u.deg\n",
    "lon_fl_rx, lat_fl_rx = 6.925 * u.deg, 50.528 * u.deg\n",
    "lon_wt, lat_wt = 6.9385 * u.deg, 50.496 * u.deg\n",
    "hprof_step = 10 * u.m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting this, to get an idea of the environment:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "map_size_lon, map_size_lat = 0.25 * u.deg, 0.25 * u.deg\n",
    "map_resolution = 3. * u.arcsec\n",
    "\n",
    "lons, lats, heightmap = pathprof.srtm_height_map(\n",
    "    lon_rt, lat_rt,\n",
    "    map_size_lon, map_size_lat,\n",
    "    map_resolution=map_resolution,\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KGhqLrSU1cx1ks3UhIqn5XIfxtcptQWZcsmO39bV5lmx1jSYa61rbiXsOOZGG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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c387a6d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_lons = lons.to(u.deg).value\n",
    "_lats = lats.to(u.deg).value\n",
    "_heightmap = heightmap.to(u.m).value\n",
    "\n",
    "vmin, vmax = -20, 870\n",
    "terrain_cmap, terrain_norm = pathprof.terrain_cmap_factory(vmin=vmin, vmax=vmax)\n",
    "\n",
    "plt.close()\n",
    "\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "ax = fig.add_axes((0., 0., 1.0, 1.0))\n",
    "cbax = fig.add_axes((0., 0., 1.0, .02))\n",
    "cim = ax.imshow(\n",
    "    _heightmap,\n",
    "    origin='lower', interpolation='nearest',\n",
    "    cmap=terrain_cmap, norm=terrain_norm,\n",
    "    extent=(_lons[0], _lons[-1], _lats[0], _lats[-1]),\n",
    "    )\n",
    "cbar = fig.colorbar(\n",
    "    cim, cax=cbax, orientation='horizontal'\n",
    "    )\n",
    "ax.set_aspect(abs(_lons[-1] - _lons[0]) / abs(_lats[-1] - _lats[0]))\n",
    "\n",
    "ctics = np.arange(0, vmax, 200)\n",
    "cbar.set_ticks(ctics)\n",
    "cbar.ax.set_xticklabels(map('{:.0f} m'.format, ctics), color='k')\n",
    "cbar.set_label(r'Height (amsl)', color='k')\n",
    "cbax.xaxis.tick_top()\n",
    "cbax.xaxis.set_label_position('top')\n",
    "\n",
    "ax.set_xlabel('Longitude [deg]')\n",
    "ax.set_ylabel('Latitude [deg]')\n",
    "\n",
    "ax.annotate(\n",
    "    'RT', xy=(lon_rt.value, lat_rt.value), xytext=(-40, 30), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "ax.annotate(\n",
    "    'FL Tx', xy=(lon_fl_tx.value, lat_fl_tx.value), xytext=(30, -30), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "ax.annotate(\n",
    "    'FL Rx', xy=(lon_fl_rx.value, lat_fl_rx.value), xytext=(30, 30), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "ax.annotate(\n",
    "    'WT', xy=(lon_wt.value, lat_wt.value), xytext=(30, 10), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 1+2: Power flux density and reflected power at wind turbine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total emitted power, in RAS band: -53.0 dB(mW) = -83.0 dB(W)\n"
     ]
    }
   ],
   "source": [
    "# FL transmitter; \n",
    "freq_fl = 10 * u.GHz\n",
    "bandwidth_fl = 200 * u.MHz\n",
    "tx_power = 10 * u.mW  # (over the used bandwidth)\n",
    "suppression = -60 * cnv.dBc\n",
    "\n",
    "# infer spectral power levels\n",
    "tx_spectral_power = tx_power / bandwidth_fl\n",
    "tx_oob_spectral_power = tx_spectral_power.to(cnv.dBm_MHz) + suppression\n",
    "\n",
    "# RAS receiver\n",
    "freq_ras = 10.65 * u.GHz\n",
    "bandwidth_ras = 100 * u.MHz\n",
    "\n",
    "# Calculate total power leaking into RAS band:\n",
    "tx_power_ras_band = tx_oob_spectral_power.to(u.W / u.MHz) * bandwidth_ras\n",
    "print('total emitted power, in RAS band: {:.1f} = {:.1f}'.format(\n",
    "    tx_power_ras_band.to(cnv.dBm), tx_power_ras_band.to(cnv.dB_W),\n",
    "    ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Create PathProp objects\n",
    "temperature = 290. * u.K\n",
    "pressure = 1013. * u.hPa\n",
    "time_percent = 2 * u.percent\n",
    "\n",
    "# for the FL terminals, we assume a height of 30-m;\n",
    "# the RAS antenna has 50-m (elevation axis)\n",
    "h_fl_tx, h_fl_rx, h_rt = 30 * u.m, 30 * u.m, 50 * u.m\n",
    "\n",
    "# we assume, clutter plays no role; set to UNKNOWN\n",
    "zone_t, zone_r = pathprof.CLUTTER.UNKNOWN, pathprof.CLUTTER.UNKNOWN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the gain, we'll have to account for the FL Tx antenna pattern, which means we need to calculate the angular distance of the FL Tx <--> WT path from the FL Tx boresight (given by FL Tx <--> FL Rx)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pprop_fl = pathprof.PathProp(\n",
    "    freq_fl,  # should be doing this for RAS freq; difference is neglible\n",
    "    temperature, pressure,\n",
    "    lon_fl_tx, lat_fl_tx,\n",
    "    lon_fl_rx, lat_fl_rx,\n",
    "    h_fl_tx, h_fl_rx,\n",
    "    hprof_step,\n",
    "    time_percent,\n",
    "    zone_t=zone_t, zone_r=zone_r,\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the FL antenna pattern, we have to assume a certain antenna size:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FL max. gain: 44.2 dB\n"
     ]
    }
   ],
   "source": [
    "diameter_fl = 2 * u.m\n",
    "wavelen_fl = freq_fl.to(u.m, equivalencies=u.spectral())\n",
    "\n",
    "G_max_fl = antenna.fl_G_max_from_size(diameter_fl, wavelen_fl)\n",
    "print('FL max. gain: {:.1f}'.format(G_max_fl))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "result_dtype = np.dtype([\n",
    "    ('height', 'f8'), ('atten', 'f8'), ('cross_section', 'f8'),\n",
    "    ('ang_dist', 'f8'), ('gain', 'f8'),\n",
    "    ('power_flux', 'f8'), ('refl_power', 'f8'), ('power_rt', 'f8')\n",
    "    ])\n",
    "result = np.zeros(len(hmids) - 1, dtype=result_dtype)\n",
    "\n",
    "directivity = 0 * cnv.dBi\n",
    "\n",
    "for idx in range(result.size):\n",
    "    \n",
    "    h_wt = hmids[idx + 1] * u.m\n",
    "    cs_wt = cross_section[idx + 1] * u.m ** 2\n",
    "    # could be made faster by querying height profile only once!\n",
    "    pprop_fl_wt = pathprof.PathProp(\n",
    "        freq_fl,\n",
    "        temperature, pressure,\n",
    "        lon_fl_tx, lat_fl_tx,\n",
    "        lon_wt, lat_wt,\n",
    "        h_fl_tx, h_wt,\n",
    "        hprof_step,\n",
    "        time_percent,\n",
    "        zone_t=zone_t, zone_r=zone_r,\n",
    "        )\n",
    "    ang_dist = geometry.true_angular_distance(\n",
    "        pprop_fl.alpha_tr, pprop_fl.eps_pt,\n",
    "        pprop_fl_wt.alpha_tr, pprop_fl_wt.eps_pt,\n",
    "        )\n",
    "    \n",
    "    G_t = antenna.fl_pattern(\n",
    "        ang_dist, diameter_fl, wavelen_fl, G_max_fl\n",
    "        )\n",
    "\n",
    "    (\n",
    "        L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L\n",
    "        ) = pathprof.loss_complete(pprop_fl_wt, G_t, 0 * cnv.dBi)\n",
    "\n",
    "    # calculate non-LoS contribution of the path loss and use as\n",
    "    # \"excess attenation\" in the formula\n",
    "    # Note, one must not use the full L as WT \"gain\", because this\n",
    "    # would account for distance twice\n",
    "    excess_path_loss = L + cnv.free_space_loss(pprop_fl_wt.distance, freq_fl)\n",
    "    S_wt = cnv.powerflux_from_ptx(\n",
    "        tx_power_ras_band, pprop_fl_wt.distance,\n",
    "        1 / excess_path_loss.to(cnv.dimless)\n",
    "        )\n",
    "    P_wt = S_wt * cs_wt\n",
    "    \n",
    "    # alternatively, one could also calculate the effective \"antenna gain\"\n",
    "    # of each surface element (we have the effective area) and do the following:\n",
    "    # G_wt_eff = cnv.gain_from_eff_area(cs_wt, freq_fl)\n",
    "    # P_wt = (\n",
    "    #     tx_power_ras_band.to(cnv.dB_W).value -\n",
    "    #     L.to(cnv.dB).value + G_wt_eff.to(cnv.dBi).value\n",
    "    #     ) * cnv.dB_W\n",
    "    \n",
    "    result[idx] = (\n",
    "        h_wt.to(u.m).value, L.to(cnv.dB).value, cs_wt.to(u.m ** 2).value,\n",
    "        ang_dist.to(u.deg).value, G_t.to(cnv.dBi).value,\n",
    "        S_wt.to(cnv.dB_W_m2).value, P_wt.to(cnv.dB_W).value, 0.\n",
    "        )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance FL Tx <--> WT: 0.225 km\n"
     ]
    }
   ],
   "source": [
    "print('Distance FL Tx <--> WT: {:.3f}'.format(pprop_fl_wt.distance))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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RCd8998BPf1p5Z4gViZ16vkUkKHPnwjrrJD2s663nO0021PMtbVVbm0y6L78cdt7ZdxqR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\nUtIOigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c3821a5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2, figsize=(12, 14))\n",
    "axes[0, 0].plot(result['gain'], result['height'])\n",
    "axes[0, 1].plot(result['atten'], result['height'])\n",
    "axes[1, 0].plot(result['power_flux'], result['height'])\n",
    "axes[1, 1].plot(result['refl_power'], result['height'])\n",
    "axes[0, 0].set_xlabel('Gain [dBi]')\n",
    "axes[0, 1].set_xlabel('Path loss [dB]')\n",
    "axes[1, 0].set_xlabel('Power flux density [dB(W/m^2)]')\n",
    "axes[1, 1].set_xlabel('Reflected power [dB(W)]')\n",
    "for ax in axes.flatten():\n",
    "    ax.set_ylabel('h [m]')\n",
    "    ax.set_ylim((0, result['height'][-1]))\n",
    "    ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our example, the WT is so close, that the antenna pattern of the FL transmitter already plays a huge role!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 3: Aggregated power at RT\n",
    "Finally, one just needs to calculate the path propagation loss to the RT and sum-up the power from each height bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "G_t = 0 * cnv.dBi\n",
    "G_r = 0 * cnv.dBi\n",
    "\n",
    "for idx in range(len(result)):\n",
    "    \n",
    "    h_wt = result['height'][idx] * u.m\n",
    "    P_wt = result['refl_power'][idx]\n",
    "    pprop_wt_rt = pathprof.PathProp(\n",
    "        freq_ras,\n",
    "        temperature, pressure,\n",
    "        lon_wt, lat_wt,\n",
    "        lon_rt, lat_rt,\n",
    "        h_wt, h_rt,\n",
    "        hprof_step,\n",
    "        time_percent,\n",
    "        zone_t=zone_t, zone_r=zone_r,\n",
    "        )\n",
    "\n",
    "    (\n",
    "        L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L\n",
    "        ) = pathprof.loss_complete(pprop_wt_rt, G_t, G_r)\n",
    "\n",
    "    result['power_rt'][idx] = P_wt - L.to(cnv.dB).value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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T+iMzf8XMbNSoUXrkkUeKdv+h8DzzQ17xQPMAIBEuvfRSPfDAA/yVTSAG2HkA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\nlxIb7DwAAFADjjyUBs1DRjBX9Udm/sjMH5n5qc3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hM5sIvGJmlWfTj1gUD+5+1xk2/TlB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\nRKLiQURERCJR8SAiIiKR/D/R3F1OmcfeEAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c387a6be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(8, 12))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.plot(result['power_rt'], result['height'], 'k-')\n",
    "ax.set_xlabel('P [dB(W)]')\n",
    "ax.set_ylabel('h [m]')\n",
    "ax.grid()\n",
    "ax.set_title('Power received at RT (from different height bins)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total received power: -239.2 dB(W)\n"
     ]
    }
   ],
   "source": [
    "P_rt_tot = np.sum(\n",
    "    (result['power_rt'] * cnv.dB_W).to(u.W).value\n",
    "    ) * u.W\n",
    "print('Total received power: {:.1f}'.format(P_rt_tot.to(cnv.dB_W)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison with directly received power from FL Tx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "One can compare this with the power received from the FL Tx on the direct path, -214 dB(W), derived in the [Fixed Link Notebook](https://github.com/bwinkel/pycraf/blob/master/notebooks/A01_case_study_fixed_link.ipynb). Even over the very short distance between FL Tx and WT, there is already a huge propagation loss of about 100 dB, which impressively shows the huge impact of the $d^{-4}$ dependence in the RADAR equation. Of course, the cross section (area) of the wind turbine counteracts this loss and for a WT it is quite large ($\\sim1000~\\mathrm{m}^2$)."
   ]
  }
 ],
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   "language": "python",
   "name": "Python [Root]"
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   "codemirror_mode": {
    "name": "ipython",
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   "file_extension": ".py",
   "mimetype": "text/x-python",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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