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{
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 2 Antenna Fundamentals"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1 Calculation of Etheta"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
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},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Distance between point's is m 200 m\n",
" the wavelength is 10 m\n",
" the current element is 0.00030000000000000003 A/m\n",
" Etheta value is V/m 0.2826\n"
]
}
],
"source": [
"from __future__ import division\n",
"import math\n",
"\n",
"# Etheta = 60∗ pi ∗ I ( dl / lambda ) ∗ ( sin(theta) / r) where thetha = 90\n",
"r =200;\n",
"print ( \" Distance between point's is m\" ,r ,'m') \n",
"lam =10;\n",
"print ( \" the wavelength is \" , lam ,'m') ;\n",
"idl =3*10**-4;\n",
"print ( \" the current element is \" , idl ,\"A/m\") ;\n",
"Etheta =60*3.14*3*10** -3/2\n",
"print(\" Etheta value is V/m\",Etheta)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.2 Calculation of directive gain"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"radiation resistance is 72 ohm\n",
"the Loss resistance is 8 ohm\n",
"the power gain of antenna is 30\n",
"the Directivity gain is 33.333333333333336\n",
"the Directivity gain in db is given by 15.228787452803376\n"
]
}
],
"source": [
"from __future__ import division\n",
"import math\n",
"\n",
"#etta=Prad/Prad+Ploss=Rrad/Rrad+Rloss\n",
"Rrad=72;\n",
"print(\"radiation resistance is \",Rrad,\"ohm\");\n",
"Rloss=8;\n",
"ettar=72/(72+8);\n",
"print(\"the Loss resistance is \",Rloss,\"ohm\");\n",
"Gpmax=30;\n",
"print(\"the power gain of antenna is \",Gpmax);\n",
"Gdmax=Gpmax/ettar;\n",
"Gdmax1=10 *math.log10(Gdmax);#in db\n",
"print(\"the Directivity gain is \",Gdmax);\n",
"print(\"the Directivity gain in db is given by \",Gdmax1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.3 Radiation Resistance calculation"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"the elemental length is given by 0.1\n",
"the radiation resistance is 7.895683520871488 ohm\n"
]
}
],
"source": [
"from __future__ import division\n",
"import math\n",
"\n",
"#Rrad=80*pi^2*(dl/lambda)^2\n",
"dl=0.1;\n",
"print(\"the elemental length is given by \",dl);\n",
"Rrad=80*(math.pi)**2*(0.1)**2;\n",
"print(\"the radiation resistance is \",Rrad,\"ohm\");\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.4 Rms current calculation"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"the wavelength is 3.0 m\n",
"the Radiated power is 100 W\n",
"the elemental length is 0.01 m\n",
"the Irms current is 106.76438151257656 A\n"
]
}
],
"source": [
"from __future__ import division\n",
"import math\n",
"\n",
"#Prad=80*(pi)**2*(dl/lambda)*(Irms)**2;\n",
"frequency=100*10**6;\n",
"lamda=(3*10**8)/(100*10**6); #lamda=c/f;\n",
"print(\"the wavelength is \",lamda,\"m\");\n",
"Prad=100;\n",
"print(\"the Radiated power is \",Prad,\"W\");\n",
"dl=0.01;\n",
"print(\"the elemental length is \",dl,\"m\");\n",
"Irms2=(3/0.01)**2*100/(80*(math.pi)**2);\n",
"Irms=math.sqrt(Irms2);\n",
"print(\"the Irms current is \",Irms,\"A\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.5 Effective aperture calculation"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"the electric field is 0.05 V/m\n",
"the average power is 3.315727981081154e-06 W\n",
"the maximum effective aperture area is 0.603318250377074 m^2\n"
]
}
],
"source": [
"from __future__ import division\n",
"import math\n",
"\n",
"#Pavg=0.5*|E|^2/etta0,Prmax=2*10^-6W,Aem=Prmax/Pavg\n",
"\n",
"E=50*10**-3;\n",
"Etta0=120*(math.pi);\n",
"print(\"the electric field is \",E,\"V/m\");\n",
"Pavg=0.5*(50*10**-3)**2/(120*(math.pi));\n",
"print(\"the average power is \",Pavg,\"W\");\n",
"Aem=(2*10**-6)/(3.315*10**-6);\n",
"print(\"the maximum effective aperture area is \",Aem,\"m^2\");\n"
]
}
],
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