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{
"metadata": {
"name": "",
"signature": "sha256:da3f0d89152a41cee5e69bb72810cbf709f6002aabb5d20615441a6c713ff653"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"chapter05:Cavity Resonators"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5.1, Page number 174"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Calculate minimum distance between two plates\n",
"import math\n",
"\n",
"#Variable declaration\n",
"a = 3 #radius of circular waveguide(cm)\n",
"fo = 10*10**9 #frequency for TM011 mode(Hz)\n",
"P01 = 2.405\n",
"c = 3*10**10 #velocity of proapagation(m/s)\n",
"\n",
"#Calculation\n",
"d = math.sqrt((math.pi**2)/(((4*math.pi**2)/9)-((P01/a)**2)))\n",
"\n",
"#Result\n",
"print \"The minimum distance between two plates is\",round(d,2),\"cms\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The minimum distance between two plates is 1.62 cms\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5.2, Page number 174"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Calculate lowest resonating frequency of a circular resonator\n",
"a = 2.\n",
"b = 1.\n",
"d = 3.\n",
"#For dominant mode TE101,\n",
"m = 1.\n",
"n = 0\n",
"p = 1.\n",
"\n",
"c = 3*10**10 #velocity of propagation(m/s)\n",
"\n",
"#Calculation\n",
"fo = (c/2)*(((m/a)**2+(n/b)**2+(p/d)**2))**0.5\n",
"\n",
"#Result\n",
"print \"The lowest resonating frequency of a rectangular cavity resonator is\",round((fo/1E+9)),\"Ghz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The lowest resonating frequency of a rectangular cavity resonator is 9.0 Ghz\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5.3, Page number 175"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Calculate resonating frequency of a circular resonator\n",
"import math\n",
"\n",
"#Variable declaration\n",
"D = 12.5 #diameter of resonator(cm)\n",
"d = 5 #length of resonator(cm)\n",
"P01 = 2.405 #dominant mode TM01\n",
"c = 3*10**10 #velocity of propagation(m/s)\n",
"\n",
"#For TM012 mode,\n",
"m = 1\n",
"n = 0\n",
"p = 2\n",
"\n",
"#Calculation\n",
"a = D/2\n",
"fo = (c/(2*math.pi))*((P01/a)**2+((p*math.pi)/d)**2)**0.5\n",
"\n",
"#Result\n",
"print \"The resonanat frequency of a circular resonator is\",round((fo/1E+9),2),\"GHz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The resonanat frequency of a circular resonator is 6.27 GHz\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5.4, Page number 175"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Calculate lowest resonating frequency of a circular resonator\n",
"a = 3.\n",
"b = 2.\n",
"d = 4.\n",
"#For dominant mode TE101,\n",
"m = 1.\n",
"n = 0\n",
"p = 1.\n",
"\n",
"c = 3*10**10 #velocity of propagation(m/s)\n",
"\n",
"#Calculation\n",
"fo = (c/2)*(((m/a)**2+(n/b)**2+(p/d)**2))**0.5\n",
"\n",
"#Result\n",
"print \"The lowest resonating frequency of a circular resonator is\",round((fo/1E+9),2),\"Ghz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The lowest resonating frequency of a circular resonator is 6.25 Ghz\n"
]
}
],
"prompt_number": 4
}
],
"metadata": {}
}
]
}
|
