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"source": [
"# Chapter 7 Wave Guides"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_1 pgno:75"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-Critical wavelength = cm\n",
"15.24\n",
"-Guide wavelength = cm 13.3\n"
]
}
],
"source": [
"from math import sqrt\n",
"c=3.*(10**8);\n",
"f=3000.*(10**8);\n",
"lo=c/f;\n",
"l=lo*(10**4);\n",
"m=1.;n=0;a=7.62;\n",
"lc=2*a;\n",
"print\"-Critical wavelength = cm\\n\",lc\n",
"lg=sqrt((l*l*lc*lc)/((lc*lc)-(l*l)));\n",
"print\"-Guide wavelength = cm\",round(lg*10)/10\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_2 pgno:76"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Frequency of dominant mode = GHz 5.0\n"
]
}
],
"source": [
"from math import sqrt\n",
"a=3;\n",
"lc=2*a;\n",
"Zs=500;n=377;c=3*(10**8);\n",
"lo=sqrt(1-((n/Zs)**2))*lc;\n",
"f=c/lo;\n",
"f1=f/(10**7);\n",
"print\"Frequency of dominant mode = GHz\",round(f1*100)/100\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_3 pgno:78"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(i)Cutoff wavelegth = cm\n",
"9.0\n",
"(ii)Guide wavelength = cm\n",
"3.59\n",
"(iii)Phase velocity = * 10**8 m/sec\n",
"3.23\n",
" Group velocity = * 10**8 m/sec\n",
"2.79\n",
"(iv)Characteristic impedance = ohm 406.0\n"
]
}
],
"source": [
"from math import sqrt\n",
"a=4.5;b=3.;f=9.*(10**9);c=3.0*(10**8);n=377.\n",
"lo=c/f;\n",
"l=lo*(10**2);\n",
"lc=2*a;\n",
"print\"(i)Cutoff wavelegth = cm\\n\",lc\n",
"lg=l /(sqrt(1-((l/lc)**2)));\n",
"print\"(ii)Guide wavelength = cm\\n\",round(lg*100)/100\n",
"Vp=(lg/l)*c*10**-8;\n",
"print\"(iii)Phase velocity = * 10**8 m/sec\\n\",round(Vp*100)/100\n",
"Vg=(l/lg)*c*10**-8;\n",
"print\" Group velocity = * 10**8 m/sec\\n\",round(Vg*100)/100\n",
"Z=n/(sqrt(1-((l/lc)**2)));\n",
"print\"(iv)Characteristic impedance = ohm\",round(Z)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_4 pgno:79"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total attenuation = db 681.88\n",
"The difference in result is due to erroneous value in textbook\n"
]
}
],
"source": [
"a=1.;c=3.*(10**8);f=(10**9);d=25.;\n",
"lc=2*a;\n",
"lo=c/f;\n",
"l=lo/(10**2);\n",
"att=(54.55/lc)*d;\n",
"print\"Total attenuation = db\",round(att*100)/100\n",
"#the difference in result is due to erroneous value in textbook.\n",
"print (\"The difference in result is due to erroneous value in textbook\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_5 pgno:80"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-Phase velocity Vp = * 10**8 m/sec\n",
"4.2\n",
"-Group velocity Vg = * 10**8 m/sec\n",
"2.2\n",
"-Phase constant = radians/m 45.0\n"
]
}
],
"source": [
"from math import sqrt,pi\n",
"c=3.*(10**8);f=3000.*(10**6);a=.0722;\n",
"lo=c/f;\n",
"lc=2*a;\n",
"lg=lo/(sqrt(1-((lo/lc)**2)));\n",
"Vp=(lg/lo)*c*10**-8;\n",
"print\"-Phase velocity Vp = * 10**8 m/sec\\n\",round(Vp*10)/10\n",
"Vg=(lo/lg)*c*10**-8;\n",
"print\"-Group velocity Vg = * 10**8 m/sec\\n\",round(Vg*10)/10\n",
"b=(2*pi)/lg;\n",
"print\"-Phase constant = radians/m\",round(b)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_6 pgno:81"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(i)Cutoff frequency for TE11 = GHz\n",
"3.52\n",
"(ii)Cutoff frequency for TE01 = GHz 4.6\n"
]
}
],
"source": [
"\n",
"d=5.;c=3.*(10**8);\n",
"lo=1.706*d;\n",
"f=c/lo;\n",
"ff=f/(10**7);\n",
"print\"(i)Cutoff frequency for TE11 = GHz\\n\",round(ff*100)/100\n",
"l=1.306*d;\n",
"fc=c/l;\n",
"ffc=fc/(10**7);\n",
"print\"(ii)Cutoff frequency for TE01 = GHz\",round(ffc*10)/10\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 7_7 pgno:82"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-Cutoff wavelength = cm\n",
"8.54\n",
"-Guide wavelength = cm\n",
"4.17\n",
"-Characteristic wave impedance = ohm 419.7\n"
]
}
],
"source": [
"from math import pi,sqrt\n",
"c=3.*(10**8);f=8.*(10**9);r=2.5;h=1.84;n=377.;\n",
"l=c/f;\n",
"lo=l*(10**2);\n",
"lc=2*pi*r/h;\n",
"print\"-Cutoff wavelength = cm\\n\",round(lc*100)/100\n",
"lp=lo/(sqrt(1-((lo/lc)**2)));\n",
"print\"-Guide wavelength = cm\\n\",round(lp*100)/100\n",
"Zo=n/(sqrt(1-((lo/lc)**2)));\n",
"print\"-Characteristic wave impedance = ohm\",round(Zo*10)/10\n"
]
}
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