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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:4900eeee12d5add487271b429c0cbafd110530ef7f850ea37e0c5905f6da1030"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Ch-12 : Microwave Measurements"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 649 Example 12.1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "#Given\n",
+ "Is=0.1*(10**-6) #A\n",
+ "Pi=0 #dBm\n",
+ "Cs=0.1*(10**-12) #F\n",
+ "Ls=2*(10**-9) \n",
+ "Cj=0.15*(10**-12) #F\n",
+ "Rs=10 #ohm\n",
+ "T=293 #K\n",
+ "nktbye=25*(10**-3) #V\n",
+ "\n",
+ "#Rj\n",
+ "Rj=(nktbye/Is) \n",
+ "print 'Rj:' ,Rj/1000,'Kohm'\n",
+ "\n",
+ "#Bi\n",
+ "Bi=nktbye/2 \n",
+ "Bii=Bi*1000 \n",
+ "print 'Bi:' ,Bii,'A/W'\n",
+ "\n",
+ "#Bv\n",
+ "Bv=Rj*Bii \n",
+ "print 'Bv:',Bv, 'V/W'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rj: 250.0 Kohm\n",
+ "Bi: 12.5 A/W\n",
+ "Bv: 3125000.0 V/W\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 650 Example 12.2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from math import log10 \n",
+ "#Given\n",
+ "vswr=4 \n",
+ "\n",
+ "modT=(vswr-1)/(vswr+1) \n",
+ "Lm=-10*log10(1-(modT*modT)) #dB\n",
+ "print 'Mismatch Loss:' ,Lm,'dB'\n",
+ "\n",
+ "#Sensitivity reduces by a factor\n",
+ "Bvd=(1-(modT*modT)) \n",
+ "Bvdp=Bvd*100 \n",
+ "print 'Voltge sensitivity reduces by:' ,Bvdp,'%'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mismatch Loss: -0.0 dB\n",
+ "Voltge sensitivity reduces by: 100 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 650 Example 12.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from math import sqrt , pi\n",
+ "#Given\n",
+ "f=10e9 #Hz\n",
+ "c=3e10 #cm/s\n",
+ "a=4 #cm\n",
+ "s=0.1 #cm\n",
+ "lmb=c/f #cm\n",
+ "lmbg=lmb/(sqrt(1-((lmb/(2*a))**2))) \n",
+ "vswr=lmbg/(pi*s) \n",
+ "print 'VSWR: %0.3f'%vswr\n",
+ "\n",
+ "#Answer in book for lmbg is given as 3.49 but it should be 3.23 and hence the answer will be 10.3"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "VSWR: 10.301\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 651 Example 12.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#Given\n",
+ "delx=3.5 #cm\n",
+ "s=0.25 #cm\n",
+ "\n",
+ "lmbg=2*delx \n",
+ "vswr=lmbg/(pi*s) \n",
+ "print 'VSWR: %0.3f'%vswr"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "VSWR: 8.913\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 651 Example 12.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#Given\n",
+ "vswr=2 \n",
+ "Pin=4.5e-3 #W\n",
+ "\n",
+ "modT=(vswr-1)/(vswr+1) \n",
+ "#Power reflected,\n",
+ "Pr=(modT**2)*Pin \n",
+ "#As coupler samples only 1/1000th power\n",
+ "Prr=Pr*1000 \n",
+ "print 'Reflected Power:' ,Prr,'W'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Reflected Power: 0.5 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 652 Example 12.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from math import tan\n",
+ "#Given\n",
+ "Z0=50 #ohm\n",
+ "p=2.4 \n",
+ "L=0.313 \n",
+ "x=2*pi*L \n",
+ "y=tan(x) \n",
+ "\n",
+ "Zl=(Z0*(1+(p*p*1J)))/(p+(p*1J)) \n",
+ "T=(Zl-Z0)/(Zl+Z0) \n",
+ "p=sqrt(((T.real))**2+((T.imag))**2) \n",
+ "print 'Reflection coefficient: %0.3f'%p"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Reflection coefficient: 0.412\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 652 Example 12.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#Given\n",
+ "Zl=25+25*1J #ohm\n",
+ "Z0=50 #ohm\n",
+ "\n",
+ "T=(Zl-Z0)/(Zl+Z0) \n",
+ "p=sqrt(((T.real))**2+((T.imag))**2) \n",
+ "print 'Reflection coefficient: %0.3f'%p\n",
+ "\n",
+ "vswrr=(1+p)/(1-p) \n",
+ "print 'VSWR: %0.3f'%vswrr\n",
+ "\n",
+ "#Fraction of power delivered\n",
+ "Pd=1-(p**2) \n",
+ "Pdp=Pd*100 \n",
+ "\n",
+ "print 'Fraction of power delivered:',Pdp, '%'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Reflection coefficient: 0.447\n",
+ "VSWR: 2.618\n",
+ "Fraction of power delivered: 80.0 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 653 Example 12.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#Given\n",
+ "d=2.4 #cm\n",
+ "lmbc=1.8 \n",
+ "c=3*10**10 #cm/s\n",
+ "\n",
+ "lmbg=2*d \n",
+ "lmb=(lmbg*lmbc)/(sqrt(lmbg**2+lmbc**2)) \n",
+ "#Operating frequency\n",
+ "f=c/lmb \n",
+ "print 'Operating frequency: %0.3f'%(f/10**9),'GHz'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Operating frequency: 17.800 GHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 653 Example 12.9"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import mat\n",
+ "#Given\n",
+ "p=1.5 \n",
+ "IsL=1 #dB\n",
+ "InL=30 #dB\n",
+ "\n",
+ "S21=10**(-IsL/20) \n",
+ "\n",
+ "#Assuming tgree ports to be identical\n",
+ "S32=S21 \n",
+ "S13=S21 \n",
+ "\n",
+ "#Isolations are also the same\n",
+ "S31=10**(-InL/20) \n",
+ "S23=S31 \n",
+ "S12=S31 \n",
+ "\n",
+ "#Refelction coefficients are also the same\n",
+ "T=(p-1)/(p+1) \n",
+ "S11=T \n",
+ "S22=T \n",
+ "S33=T \n",
+ "\n",
+ "S=mat([[S11, S12, S13], [S21, S22, S23], [S31, S32, S33] ])\n",
+ "print 'Matrix is:\\n' ,S"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Matrix is:\n",
+ "[[ 0.2 0.03162278 0.89125094]\n",
+ " [ 0.89125094 0.2 0.03162278]\n",
+ " [ 0.03162278 0.89125094 0.2 ]]\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 654 Example 12.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#Given\n",
+ "R1=10.6 #GHz\n",
+ "R2=8.30 #GHz\n",
+ "Q0=8200 \n",
+ "Q0d=890 \n",
+ "\n",
+ "Er=(R1/R2)**2 \n",
+ "print 'Dielectric constant %0.3f'%Er\n",
+ "\n",
+ "Qd=(Q0-Q0d)/(Q0*Q0d) \n",
+ "print 'Loss tangent of dielectric' ,Qd"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Dielectric constant 1.631\n",
+ "Loss tangent of dielectric 0\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Page Number: 654 Example 12.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#Given\n",
+ "l0=0.15 #cm\n",
+ "lmbg=2*2.24 #cm\n",
+ "le=1.14 #cm\n",
+ "a=2.286 #cm\n",
+ "d=2 \n",
+ "\n",
+ "B0=(2*pi)/lmbg \n",
+ "x=tan(B0*l0)/(B0*l0) \n",
+ "#Also\n",
+ "x1=(l0*x)/le \n",
+ "#Correct value seems to be\n",
+ "Bele=2.786 \n",
+ "e1=((((a/pi)**2)*(Bele/le)**2)+1) \n",
+ "e2=(((2*a)/lmbg)**2)+1 \n",
+ "Er=e1/e2 \n",
+ "print 'Er: %0.3f'%Er\n",
+ "\n",
+ "\n",
+ "#Answer in book for Er is given as 2.062 but it should be 2.038"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Er: 2.039\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
generated by cgit (git 2.34.1) at 2024-12-20 08:39:37 +0000