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@Diimu
Created September 13, 2019 19:54
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def cosd(a):\n",
" return cos(a*pi/180)\n",
"\n",
"def sind(a):\n",
" return sin(a*pi/180)\n",
"\n",
"def calculate_directivity(theta, phi, F):\n",
" dtheta = pi/len(theta[:,0])\n",
" dphi = 2*pi/len(phi[0,:])\n",
" DIR = 0\n",
"\n",
" for F_loop, theta_loop in zip(F.flatten(), theta.flatten()):\n",
" DIR = DIR + F_loop**2*abs(sind(theta_loop))*dtheta*dphi\n",
" DIR = 4*pi/DIR #max value\n",
" D = F**2*DIR #directivity pattern\n",
" # note that with low resolution, the directivity calculation is not super accurate. with 50*50 matrices hertzian dipole has D = 1.895 dB, with 3000*3000 matrix D = 1.762 dB (correct value)\n",
" return (D, DIR)\n",
"\n",
"def calculate_radiation(theta, phi, dipoles, r = 100):\n",
" '''\n",
" Calculates the radiation properties from an array of short dipoles\n",
" theta and phi are 2D matrices that contain the values as indicated in the name. Create with numpy.meshgrid()\n",
" dipoles = [ {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False}]\n",
" r = distance in far field\n",
" \n",
" returns D, DIR, AR (=directivity pattern, max directivity, axial ratio from -1 to 1)\n",
" '''\n",
" Et = 0*theta #initialize variables, add fields linearly together\n",
" Ep = 0*theta\n",
" \n",
" ## eq 12, http://iris.elf.stuba.sk/JEEEC/data/pdf/07-08_102-05.pdf\n",
" for dipole in dipoles:\n",
" if dipole['magnetic']:\n",
" raise NotImplementedError\n",
" else:\n",
" d = sqrt((r*sind(theta)*cosd(phi)-dipole['location'][0])**2+(r*sind(theta)*sind(phi)-dipole['location'][1])**2+(r*cosd(theta)-dipole['location'][2])**2)\n",
" Et = Et + exp(1j*2*pi*d)*dipole['strength']*(cosd(dipole['theta'])*sind(theta) - cosd(theta)*cosd(phi-dipole['phi'])*sind(dipole['theta']))\n",
" Ep = Ep + exp(1j*2*pi*d)*dipole['strength']*sind(dipole['theta'])*sind(phi-dipole['phi'])\n",
"\n",
" F = sqrt(abs(Et)**2+abs(Ep)**2)\n",
" F = F/F.max()\n",
"\n",
" p = (Et*conj(Ep)-Ep*conj(Et))/(1j*(Et*conj(Et)+Ep*conj(Ep)))\n",
" p[abs(p)<1e-15] = 1e-15 #avoid division by 0\n",
" AR = sign(p)*abs((1-sqrt(1-abs(p)**2))/abs(p))\n",
" AR = AR.real #AR is always real because of conjugates above, this gets rid of 0j in every cell\n",
" \n",
" D, DIR = calculate_directivity(theta, phi, F)\n",
" return (D, DIR, AR)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"directivity = 2.20 = 3.4 dB\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x27ff2813278>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"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": [
"phiV = np.arange(0, 360, 3)\n",
"thetaV = np.arange(0, 180.01, 3) #.01 means that also 180deg is included\n",
"phi, theta = np.meshgrid(phiV, thetaV)\n",
"\n",
"#choose a set of dipoles by uncommenting or writing your own\n",
"\n",
"'''dipoles = [\n",
" {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False},\n",
"]'''\n",
"\n",
"'''dipoles = [ #linear \"yagi\"\n",
" {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j, 'location':[0,0,-0.25], 'theta':90, 'phi':0, 'magnetic':False}\n",
"]'''\n",
"\n",
"'''dipoles = [ #two crossed dipoles\n",
" {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j, 'location':[0,0,0], 'theta':90, 'phi':90, 'magnetic':False}\n",
"]'''\n",
"\n",
"dipoles = [ #two crossed dipoles and a single low power reflector\n",
" {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j, 'location':[0,0,0], 'theta':90, 'phi':90, 'magnetic':False},\n",
" {'strength': 0.5j, 'location':[0,0,-0.25], 'theta':90, 'phi':0, 'magnetic':False}\n",
"]\n",
"\n",
"\n",
"'''\n",
"dipoles = [ #circular yagi with only reflectors\n",
" {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j, 'location':[0,0,0], 'theta':90, 'phi':90, 'magnetic':False},\n",
" {'strength': 1*1j, 'location':[0,0,-0.25], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j*1j, 'location':[0,0,-0.25], 'theta':90, 'phi':90, 'magnetic':False}\n",
"]\n",
"dipoles = [ #circular yagi\n",
" {'strength': 1, 'location':[0,0,0], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j, 'location':[0,0,0], 'theta':90, 'phi':90, 'magnetic':False},\n",
" {'strength': 1*1j, 'location':[0,0,-0.25], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j*1j, 'location':[0,0,-0.25], 'theta':90, 'phi':90, 'magnetic':False},\n",
" {'strength': 1*(-1j), 'location':[0,0,0.25], 'theta':90, 'phi':0, 'magnetic':False},\n",
" {'strength': 1j*(-1j), 'location':[0,0,0.25], 'theta':90, 'phi':90, 'magnetic':False}\n",
"]\n",
"'''\n",
"\n",
"D, DIR, AR = calculate_radiation(theta, phi, dipoles)\n",
"print('directivity = {:.2f} = {:.2} dB'.format(DIR, 10*log10(DIR)))\n",
"\n",
"\n",
"\n",
"# plotting\n",
"\n",
"plt.figure()\n",
"plt.pcolormesh(phiV, thetaV, D, cmap=plt.cm.jet)\n",
"plt.colorbar()\n",
"plt.title('Directivity, linear scale')\n",
"\n",
"plt.figure()\n",
"plt.pcolormesh(phiV, thetaV, AR, vmin=-1, vmax=1, cmap=plt.cm.jet)\n",
"plt.colorbar()\n",
"plt.title('Axial Ratio, linear scale (-1 = LHCP, 0 = linear, +1 = RHCP)')\n",
"\n",
"#polar plot representation of the same thing\n",
"theta_vector = np.concatenate((thetaV, thetaV+180)) #concatenate combines two 2D vectors \n",
"theta_vector = theta_vector*pi/180\n",
"\n",
"# directivity\n",
"plt.figure()\n",
"#concatenate combines two 2D vectors \n",
"#argmin(abs(phiV-180)) finds the index in the phiV array where phiV is closest to 180 degrees\n",
"#[::-1] inverts the order of the array\n",
"D_vector = np.concatenate((D[:,argmin(abs(phiV-0))], D[:,argmin(abs(phiV-180))][::-1]))\n",
"plt.polar(theta_vector, D_vector, 'b-', label='D, $\\phi=0\\degree$')\n",
"D_vector = np.concatenate((D[:,argmin(abs(phiV-90))], D[:,argmin(abs(phiV-270))][::-1]))\n",
"plt.polar(theta_vector, D_vector, 'r-', label='D, $\\phi=90\\degree$')\n",
"plt.gca().set_theta_offset(-pi/2)\n",
"plt.legend()\n",
"\n",
"plt.figure()\n",
"#AR\n",
"AR_vector = np.concatenate((AR[:,argmin(abs(phiV-0))], AR[:,argmin(abs(phiV-180))][::-1]))\n",
"plt.polar(theta_vector, AR_vector, 'b-', label='AR, $\\phi=0\\degree$')\n",
"AR_vector = np.concatenate((AR[:,argmin(abs(phiV-90))], AR[:,argmin(abs(phiV-270))][::-1]))\n",
"plt.polar(theta_vector, AR_vector, 'r-', label='AR, $\\phi=90\\degree$')\n",
"plt.gca().set_theta_offset(-pi/2)\n",
"plt.gca().set_ylim(0,1)\n",
"plt.legend()"
]
},
{
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},
{
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}
],
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