|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "metadata": {}, |
| 6 | + "source": [ |
| 7 | + "# Create HH LUT\n", |
| 8 | + "\n", |
| 9 | + "This notebook will show how we create HH LUTs" |
| 10 | + ] |
| 11 | + }, |
| 12 | + { |
| 13 | + "cell_type": "code", |
| 14 | + "execution_count": null, |
| 15 | + "metadata": {}, |
| 16 | + "outputs": [], |
| 17 | + "source": [ |
| 18 | + "import numpy as np\n", |
| 19 | + "import matplotlib.pyplot as plt\n", |
| 20 | + "import xarray as xr\n", |
| 21 | + "\n", |
| 22 | + "# optional debug messages\n", |
| 23 | + "import logging\n", |
| 24 | + "logging.basicConfig()\n", |
| 25 | + "logging.getLogger('xsarsea.windspeed').setLevel(logging.DEBUG) #or .setLevel(logging.INFO)" |
| 26 | + ] |
| 27 | + }, |
| 28 | + { |
| 29 | + "cell_type": "markdown", |
| 30 | + "metadata": {}, |
| 31 | + "source": [ |
| 32 | + "## Definition Zhang & Mouche " |
| 33 | + ] |
| 34 | + }, |
| 35 | + { |
| 36 | + "cell_type": "code", |
| 37 | + "execution_count": null, |
| 38 | + "metadata": {}, |
| 39 | + "outputs": [], |
| 40 | + "source": [ |
| 41 | + "inc_angle = np.arange(17,50,0.5)\n", |
| 42 | + "ar = [1.3794, -3.19e-2, 1.4e-3]\n", |
| 43 | + "br = [-0.1711, 2.6e-3]\n", |
| 44 | + " \n", |
| 45 | + "\n", |
| 46 | + "def get_pol_ratio_zhangA(inc_angle,wind_speed):\n", |
| 47 | + " # do not force the ratio to be greater than 1\n", |
| 48 | + " ars2 = np.polynomial.polynomial.polyval(inc_angle, ar)\n", |
| 49 | + " brs2 = np.polynomial.polynomial.polyval(inc_angle, br)\n", |
| 50 | + "\n", |
| 51 | + " pol_ratio = ars2 * (wind_speed ** brs2)\n", |
| 52 | + " return pol_ratio\n", |
| 53 | + "\n", |
| 54 | + "def get_pol_ratio_zhangB(inc_angle,wind_speed):\n", |
| 55 | + " # do force the ratio to be greater than 1\n", |
| 56 | + " ars2 = np.polynomial.polynomial.polyval(inc_angle, ar)\n", |
| 57 | + " brs2 = np.polynomial.polynomial.polyval(inc_angle, br)\n", |
| 58 | + "\n", |
| 59 | + " pol_ratio = ars2 * (wind_speed ** brs2)\n", |
| 60 | + " # we force the ratio to be greater than 1\n", |
| 61 | + " pol_ratio = np.where(pol_ratio < 1, 1, pol_ratio)\n", |
| 62 | + " return pol_ratio\n", |
| 63 | + "\n", |
| 64 | + "\n", |
| 65 | + "def get_pol_ratio_mouche(inc_angle, wind_dir, wind_speed=None):\n", |
| 66 | + "\n", |
| 67 | + " theta=inc_angle\n", |
| 68 | + " phi=wind_dir\n", |
| 69 | + " # Alexis Mouche, D. Hauser,\n", |
| 70 | + " # V. Kudryavtsev and JF. Daloze,\n", |
| 71 | + " # \"Multi polarization ocean radar\n", |
| 72 | + " # cross-section from ENVISAT ASAR\n", |
| 73 | + " # observations, airborne polarimetric\n", |
| 74 | + " # radar measurements and empirical or\n", |
| 75 | + " # semi-empirical models\", ESA\n", |
| 76 | + " # ERS/ENVISAT Symposium, Salzburg,\n", |
| 77 | + " # September 2004\n", |
| 78 | + " A0 = 0.00650704\n", |
| 79 | + " B0 = 0.128983\n", |
| 80 | + " C0 = 0.992839\n", |
| 81 | + " Api2 = 0.00782194\n", |
| 82 | + " Bpi2 = 0.121405\n", |
| 83 | + " Cpi2 = 0.992839\n", |
| 84 | + " Api = 0.00598416\n", |
| 85 | + " Bpi = 0.140952\n", |
| 86 | + " Cpi = 0.992885\n", |
| 87 | + "\n", |
| 88 | + " P0_theta = A0*np.exp(B0*theta)+C0\n", |
| 89 | + " Ppi2_theta = Api2*np.exp(Bpi2*theta)+Cpi2\n", |
| 90 | + " Ppi_theta = Api*np.exp(Bpi*theta)+Cpi\n", |
| 91 | + "\n", |
| 92 | + " C0_theta = (P0_theta+Ppi_theta+2*Ppi2_theta)/4\n", |
| 93 | + " C1_theta = (P0_theta-Ppi_theta)/2\n", |
| 94 | + " C2_theta = (P0_theta+Ppi_theta-2*Ppi2_theta)/4\n", |
| 95 | + "\n", |
| 96 | + " polrat = C0_theta + C1_theta*np.cos(np.deg2rad(phi)) + C2_theta*np.cos(2*np.deg2rad(phi))\n", |
| 97 | + "\n", |
| 98 | + " return polrat\n", |
| 99 | + "\n" |
| 100 | + ] |
| 101 | + }, |
| 102 | + { |
| 103 | + "cell_type": "markdown", |
| 104 | + "metadata": {}, |
| 105 | + "source": [ |
| 106 | + "## Plot" |
| 107 | + ] |
| 108 | + }, |
| 109 | + { |
| 110 | + "cell_type": "code", |
| 111 | + "execution_count": null, |
| 112 | + "metadata": {}, |
| 113 | + "outputs": [], |
| 114 | + "source": [ |
| 115 | + "plt.figure(figsize=(10,5))\n", |
| 116 | + "\n", |
| 117 | + "for wspd in [3,7,10,15,20]:\n", |
| 118 | + " plt.plot(inc_angle, 10*np.log10(get_pol_ratio_zhangB(inc_angle,wspd)), label=f'Wspd = {wspd} m/s')\n", |
| 119 | + " \n", |
| 120 | + "plt.legend(loc=\"lower right\")\n", |
| 121 | + "plt.title(f'ZhangB Polarization Ratio vs Incidence Angle')\n", |
| 122 | + "plt.xlabel('Incidence Angle [deg]')\n", |
| 123 | + "plt.ylabel('Polarization Ratio [dB]')\n", |
| 124 | + "plt.xlim([17,50])\n", |
| 125 | + "plt.grid()\n", |
| 126 | + "\n", |
| 127 | + "\n", |
| 128 | + "plt.figure(figsize=(10,5))\n", |
| 129 | + "\n", |
| 130 | + "for phi in [30, 60, 90, 120, 150, 180]:\n", |
| 131 | + " plt.plot(inc_angle, 10*np.log10(get_pol_ratio_mouche(inc_angle,phi)), label=f'Phi = {phi} deg')\n", |
| 132 | + " \n", |
| 133 | + "plt.legend(loc=\"upper left\")\n", |
| 134 | + "plt.title(f'Mouche1 Polarization Ratio vs Incidence Angle')\n", |
| 135 | + "plt.xlabel('Incidence Angle [deg]')\n", |
| 136 | + "plt.ylabel('Polarization Ratio [dB]')\n", |
| 137 | + "plt.xlim([17,50])\n", |
| 138 | + "plt.grid()" |
| 139 | + ] |
| 140 | + }, |
| 141 | + { |
| 142 | + "cell_type": "markdown", |
| 143 | + "metadata": {}, |
| 144 | + "source": [ |
| 145 | + "## create HH LUT " |
| 146 | + ] |
| 147 | + }, |
| 148 | + { |
| 149 | + "cell_type": "code", |
| 150 | + "execution_count": null, |
| 151 | + "metadata": {}, |
| 152 | + "outputs": [], |
| 153 | + "source": [ |
| 154 | + "def create_gmfHH(fct, vv_name, pr_name, mod, res):\n", |
| 155 | + " pol_ratio_data = xr.apply_ufunc(\n", |
| 156 | + " fct,\n", |
| 157 | + " mod.incidence, mod.wspd,\n", |
| 158 | + " vectorize=True\n", |
| 159 | + " )\n", |
| 160 | + " pol_ratio_data_extended = pol_ratio_data.expand_dims({'phi': mod.phi}).broadcast_like(mod)\n", |
| 161 | + "\n", |
| 162 | + " mod_hh = (mod/pol_ratio_data_extended)\n", |
| 163 | + " mod_hh.name = 'sigma0_model'\n", |
| 164 | + " mod_hh = mod_hh.to_dataset()\n", |
| 165 | + " mod_hh.attrs['units'] = 'linear'\n", |
| 166 | + " mod_hh.attrs['construction'] = f'{vv_name} / {pr_name}'\n", |
| 167 | + " mod_hh.attrs['description'] = f'Backscatter coefficient in HH polarization build from {vv_name.upper()} model and {pr_name[0].upper() + pr_name[1:]} Polarization Ratio model'\n", |
| 168 | + " mod_hh.attrs['resolution'] = f'{res}'\n", |
| 169 | + " mod_hh.attrs['pol'] = 'HH'\n", |
| 170 | + " \n", |
| 171 | + " \n", |
| 172 | + " if vv_name == \"cmod7\":\n", |
| 173 | + " \n", |
| 174 | + " mod_hh.attrs['inc_range'] = np.array([16.,66.])\n", |
| 175 | + " mod_hh.attrs['wspd_range'] = np.array([0.2,50.])\n", |
| 176 | + " mod_hh.attrs['phi_range'] = np.array([0., 180.])\n", |
| 177 | + " \n", |
| 178 | + " elif vv_name == \"cmod5n\":\n", |
| 179 | + " \n", |
| 180 | + " mod_hh.attrs['inc_range'] = np.array([17.,50.])\n", |
| 181 | + " mod_hh.attrs['wspd_range'] = np.array([0.2, 50.])\n", |
| 182 | + " mod_hh.attrs['phi_range'] = np.array([0., 180.])\n", |
| 183 | + " \n", |
| 184 | + " else : \n", |
| 185 | + " raise ValueError(\"vv_name must be cmod7 or cmod5n\")\n", |
| 186 | + " \n", |
| 187 | + " mod_hh.attrs['model'] = f'{vv_name}_R{res}_hh_{pr_name}'\n", |
| 188 | + "\n", |
| 189 | + "\n", |
| 190 | + " mod_hh.attrs['wspd_step'] = np.round(\n", |
| 191 | + " np.unique(np.diff(mod_hh.wspd)), decimals=2)[0]\n", |
| 192 | + " mod_hh.attrs['inc_step'] = np.round(\n", |
| 193 | + " np.unique(np.diff(mod_hh.incidence)), decimals=2)[0]\n", |
| 194 | + " mod_hh.attrs['phi_step'] = np.round(\n", |
| 195 | + " np.unique(np.diff(mod_hh.phi)), decimals=2)[0]\n", |
| 196 | + " fname = f'./nc_lut_gmf_{vv_name}_R{res}_hh_{pr_name}.nc'\n", |
| 197 | + " mod_hh.to_netcdf(fname, mode=\"w\")\n", |
| 198 | + " print(\"model saved at \", fname)\n", |
| 199 | + " mod_hh.close()\n" |
| 200 | + ] |
| 201 | + }, |
| 202 | + { |
| 203 | + "cell_type": "code", |
| 204 | + "execution_count": null, |
| 205 | + "metadata": {}, |
| 206 | + "outputs": [], |
| 207 | + "source": [ |
| 208 | + "vv_name = \"cmod5n\"\n", |
| 209 | + "#create_gmfHH(get_pol_ratio_zhangB, vv_name, \"zhangB\", xsarsea.windspeed.get_model(f\"gmf_{vv_name}\").to_lut(**{'resolution':'high'}), 'high')\n" |
| 210 | + ] |
| 211 | + } |
| 212 | + ], |
| 213 | + "metadata": { |
| 214 | + "kernelspec": { |
| 215 | + "display_name": "Python 3 (ipykernel)", |
| 216 | + "language": "python", |
| 217 | + "name": "python3" |
| 218 | + }, |
| 219 | + "language_info": { |
| 220 | + "codemirror_mode": { |
| 221 | + "name": "ipython", |
| 222 | + "version": 3 |
| 223 | + }, |
| 224 | + "file_extension": ".py", |
| 225 | + "mimetype": "text/x-python", |
| 226 | + "name": "python", |
| 227 | + "nbconvert_exporter": "python", |
| 228 | + "pygments_lexer": "ipython3", |
| 229 | + "version": "3.10.12" |
| 230 | + } |
| 231 | + }, |
| 232 | + "nbformat": 4, |
| 233 | + "nbformat_minor": 4 |
| 234 | +} |
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