{
"metadata": {
"celltoolbar": "Raw Cell Format",
"name": "",
"signature": "sha256:e9c52faa6f723177987287c656f8b9c6b874a9a4be2d48124b6c6c969a88227d"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 12: Optical Systems"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.1,Page number 431"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Pt=10.; #in microW\n",
"Pr=1.; #in microW\n",
"PtdBm=10*math.log10(Pt*10**-6/10**-3) #in dBm\n",
"print\"Transmitter Power =\",round(PtdBm,4),\"dBm\";\n",
"PrdBm=10*math.log10(Pr*10**-6/10**-3) #in dBm\n",
"print\"Receiver Power =\",round(PrdBm,4),\"dBm\";\n",
"Pm=PtdBm-PrdBm;\n",
"print\"Power margin=\",round(Pm,4),\"dBm\"; #misprint in book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Transmitter Power = -20.0 dBm\n",
"Receiver Power = -30.0 dBm\n",
"Power margin= 10.0 dBm\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.2,Page number 431"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Pt=25.; #in microW\n",
"Prd=15.; #in dBm\n",
"Ptd=10*math.log10(Pt*10**-6/10**-3) #in dBm\n",
"print\"Transmitter Power =\",round(Ptd,4),\"dBm\";\n",
"Pm=Ptd-Prd;\n",
"print\"Power margin=\",round(Pm,4),\"dBm\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Transmitter Power = -16.0206 dBm\n",
"Power margin= -31.0206 dBm\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.3,Page number 432"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Pt1=-18; #in dBm for 50/125 micron fiber\n",
"Pt2=-10; #in dBm for 100/125 micron fiber\n",
"Pd=Pt1-Pt2;\n",
"print\" Additional Power =\",round(Pd,4),\"dBm\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Additional Power = -8.0 dBm\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.4,Page number 432"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Plb=10; #in dBm for 50/125 micron fiber\n",
"Ps=3; #in dBm for safety margin\n",
"Prs=-30; #in dBm for receiver sensivity\n",
"Pt=Plb+Ps+Prs;\n",
"print\"Link power budget =\",round(Pt,4),\"dBm\";\n",
"Ptw=10**(Pt/10.)*1000;\n",
"print\"Transmitter Power =\",round(Ptw,4),\"microW\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Link power budget = -17.0 dBm\n",
"Transmitter Power = 19.9526 microW\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.5,Page number 433"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Is=0.5; #in A/W\n",
"Ir=1.5; #in microA\n",
"Xw=Ir/Is;\n",
"print\"Electrical power required by PIN diode is =\",round(Xw,4),\"microW\";\n",
"Pxw=10*math.log10(Xw/10**3);\n",
"print\"Therefore, Electrical power required by PIN diode is =\",round(Pxw,4),\"dBm\";\n",
"\n",
"Ps=3; #in dB for safety margin\n",
"Tp=5; #in dB\n",
"Pt=Tp+Ps+Pxw;\n",
"print\"Total Power Required =\",round(Pt,4),\"dBm\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Electrical power required by PIN diode is = 3.0 microW\n",
"Therefore, Electrical power required by PIN diode is = -25.2288 dBm\n",
"Total Power Required = -17.2288 dBm\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.6,Page number 442"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"fb=1.25; #in Gb/s\n",
"D=17; #in ps/nm.km\n",
"dL=0.5; #in nm\n",
"Lmax=1/fb/10**9/dL/10**-9/D/10**-12*10**-9;\n",
"print\"Maximum Link span,Lmax =\",round(Lmax,4),\"km\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum Link span,Lmax = 94.1176 km\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.7,Page number 442"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"fb=2.5; #in Gb/s\n",
"Lmax=50.; #in km\n",
"dL=0.4; #in nm\n",
"D=1./fb/10**9/dL/10**-9/Lmax/10**-12*10**-9;\n",
"print\"Maximum allowable dispersion,D =\",round(D,4),\"ps/nm-km\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum allowable dispersion,D = 20.0 ps/nm-km\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.8,Page number 443"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Lmax=60.; #in km\n",
"D=17.; #in ps/nm.km\n",
"dL=0.5; #in nm\n",
"fb=1/Lmax/10**9/dL/10**-9/D/10**-12*10**-9;\n",
"print\"Maximum system bit rate,fb =\",round(fb,4),\"Gb/s\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum system bit rate,fb = 1.9608 Gb/s\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.9,Page number 443"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"c1=4; #channel1\n",
"c2=8; #channel2\n",
"c3=16; #channel3\n",
"fb=2.5; #in Gb/s\n",
"Lmax1=6.1*10**3/(c1*fb)**2;\n",
"print\"Maximum Link span for\",c1,\"channel, Lmax =\",Lmax1,\"km\";\n",
"Lmax2=6.1*10**3/(c2*fb)**2;\n",
"print\"Maximum Link span for\",c2,\"channel, Lmax =\",Lmax2,\"km\";\n",
"Lmax3=6.1*10**3/(c3*fb)**2;\n",
"print\"Maximum Link span for\",c3,\"channel, Lmax =\",Lmax3,\"km\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum Link span for 4 channel, Lmax = 61.0 km\n",
"Maximum Link span for 8 channel, Lmax = 15.25 km\n",
"Maximum Link span for 16 channel, Lmax = 3.8125 km\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.10,Page number 444"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"L=200; #in km\n",
"dL=1550; #in nm\n",
"R=10; #in Gb/s\n",
"Cd=17; #in ps/nm-km\n",
"w=0.1; #Assused bandwidth\n",
"Cd200=Cd*L;\n",
"print\"Dispersion by 200km ofc =\",\"{0:.1e}\".format(Cd200),\"ps/nm\";\n",
"TCd=w*Cd200;\n",
"print\"total chromatic dispersion =\",\"{0:.1e}\".format(TCd),\"ps\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dispersion by 200km ofc = 3.4e+03 ps/nm\n",
"total chromatic dispersion = 3.4e+02 ps\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.11,Page number 480"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"L=1.5; #in km\n",
"Ls=L/3; #in km\n",
"BwF=600; #in MHz\n",
"fb=1; #in Gbps\n",
"Bdlaser=0.71*BwF*L**-0.7*Ls**-0.25;\n",
"print\"Laser bandwidth is\",round(Bdlaser,4),\"MHz\"; \n",
"mD=0.85*(fb*10**3/Bdlaser)**2;\n",
"print\"Mean dispersion penalty is\",round(mD,4),\"dB\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Laser bandwidth is 381.4198 MHz\n",
"Mean dispersion penalty is 5.8427 dB\n"
]
}
],
"prompt_number": 21
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.12,Page number 481"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"E=0.182; #from table 12-11 for 2dB dispersion penalty\n",
"fb=622; #in Mb/s\n",
"dl=4; #in nm\n",
"ofdisp=3; #in ps/km-nm\n",
"Dmax=E/(10**-6*fb*dl);\n",
"print\"Dmax is\",round(Dmax,4),\"ps/nm\"; \n",
"Lmax=Dmax/ofdisp;\n",
"print\"Maximum link distance is\",round(Lmax,4),\"km\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dmax is 73.1511 ps/nm\n",
"Maximum link distance is 24.3837 km\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.13,Page number 481"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"E=0.115; #from table 12-11 for 2dB dispersion penalty\n",
"fb=622; #in Mb/s\n",
"dl=4; #in nm\n",
"ofdisp=3; #in ps/km-nm\n",
"Dmax=E/(10**-6*fb*dl);\n",
"print\"Dmax is\",round(Dmax,4),\"ps/nm\"; \n",
"Lmax=Dmax/ofdisp;\n",
"print\"Maximum link distance is\",round(Lmax,4),\"km\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dmax is 46.2219 ps/nm\n",
"Maximum link distance is 15.4073 km\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.14,Page number 481"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"mc=0.4; #in dB\n",
"sc=0.0; #in dB\n",
"dmax=2.8; #in dB\n",
"mt=-4.9; #in dBm\n",
"st=0.5; #in dBm\n",
"mr=-38.1; #in dBm\n",
"sr=0.48; #in dBm\n",
"mco=0.35; #in dB\n",
"sco=0.20; #in dB\n",
"ms=0.2; #in dB\n",
"ss=0.1; #in dB\n",
"E=0.182; #from table 12-11 for 2dB dispersion penalty\n",
"fb=156; #in Mb/s\n",
"dl=4; #in nm\n",
"ofdisp=2.8; #in ps/nm-km\n",
"Nco=7;\n",
"mD=2;\n",
"sD=0.1;\n",
"sH=2;\n",
"sCR=0.25;\n",
"Ns=4;\n",
"mH=0;\n",
"mCR=0.5;\n",
"L=50;\n",
"Ls=10;\n",
"Dmax=E/(10**-6*fb*dl);\n",
"print\"Dmax is\",round(Dmax,4),\"ps/nm\"; \n",
"Lmax=Dmax/ofdisp;\n",
"print\"Maximum link distance is\",round(Lmax,4),\"km\"; \n",
"mM=mt-mr-(mc*L+mco*Nco+ms*Ns+mD+mH+mCR);\n",
"print\"Mean link margin is\",round(mM,4),\"dB\"; \n",
"sM=math.sqrt(st**2+sr**2+sc**2*L*Ls+sco**2*Nco+sD**2*sH**2+sCR**2);\n",
"print\"Sigma link margin is\",round(sM,4),\"dB\"; \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dmax is 291.6667 ps/nm\n",
"Maximum link distance is 104.1667 km\n",
"Mean link margin is 7.45 dB\n",
"Sigma link margin is 0.9289 dB\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.15,Page number 483"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"E=0.115; \n",
"fb=622; #in Mb/s\n",
"dl=4; #in nm\n",
"mt=0.1; #in dBm\n",
"mr=-31.5; #in dBm\n",
"mc=0.41; #in dB\n",
"L=25;\n",
"mco=0.12; #in dB\n",
"Nco=2;\n",
"ms=0.15; #in dB\n",
"Ns=4;\n",
"mD=1;\n",
"mH=0;\n",
"mCR=0;\n",
"sc=0.0; #in dB\n",
"st=-0.15; #in dBm\n",
"sr=0.3; #in dBm\n",
"sco=0.08; #in dB\n",
"ss=0.1; #in dB\n",
"ofdisp=2.8; #in ps/nm-km\n",
"sD=2;\n",
"sH=0;\n",
"sCR=0.0;\n",
"Ls=12;\n",
"\n",
"Dmax=E/(10**-6*fb*dl);\n",
"print\"Dmax is\",round(Dmax,4),\"ps/nm\"; \n",
"Lmax=Dmax/ofdisp;\n",
"print\"Maximum link distance is\",round(Lmax,4),\"km\"; #in book 4 is misprint for solving \n",
"mM=mt-mr-(mc*L+mco*Nco+ms*Ns+mD+mH+mCR);\n",
"print\"Mean link margin is\",round(mM,4),\"dB\"; #wrong in book\n",
"L=60;\n",
"Ls=12; \n",
"sM=math.sqrt(st**2+sr**2+sc**2*L*Ls+sco**2*Nco+ss**2*Ns+sD**2*sH**2+sCR**2);\n",
"print\"Sigma link margin is\",round(sM,4),\"dB\"; \n",
"spm=mM-2*sM-1;\n",
"print\"System power margin is\",round(spm,4),\"dB\"; #answer is slighty difeerent due to mM=19.5"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dmax is 46.2219 ps/nm\n",
"Maximum link distance is 16.5078 km\n",
"Mean link margin is 19.51 dB\n",
"Sigma link margin is 0.4066 dB\n",
"System power margin is 17.6969 dB\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.16,Page number 484"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"E=0.115; \n",
"fb=1062; #in Mb/s\n",
"dl=6; #in nm\n",
"mt=-8; #in dBm\n",
"mr=28.7; #in dBm\n",
"mc=0.4; #in dB\n",
"L=5;\n",
"mco=0.12; #in dB\n",
"Nco=8;\n",
"ms=0.2; #in dB\n",
"Ns=4;\n",
"mD=1;\n",
"mH=0;\n",
"mCR=1;\n",
"sc=0.0; #in dB\n",
"st=0.6; #in dBm\n",
"sr=0.75; #in dBm\n",
"sco=0.08; #in dB\n",
"ss=0.1; #in dB\n",
"ofdisp=2.8; #in ps/nm-km\n",
"sD=2;\n",
"sH=0;\n",
"sCR=0.25;\n",
"Ls=12;\n",
"\n",
"Dmax=round(E/(10**-6*fb*dl)); #taking to nearest integer in ps/nm\n",
"print\"Dmax is\",round(Dmax,4),\"ps/nm\"; \n",
"Lmax=Dmax/ofdisp;\n",
"print\"Maximum link distance is\",round(Lmax,4),\"km\"; \n",
"mM=mt+mr-(mc*L+mco*Nco+ms*Ns+mD+mH+mCR);\n",
"print\"Mean link margin is\",round(mM,4),\"dB\";\n",
"L=60;\n",
"Ls=12; \n",
"sM=math.sqrt(st**2+sr**2+sc**2*L*Ls+sco**2*Nco+ss**2*Ns+sD**2*sH**2+sCR**2);\n",
"print\"Sigma link margin is\",round(sM,4),\"dB\"; \n",
"mM=round(mM*10)/10; #talking only to 1 decimal place and rounding of other values\n",
"spm=mM-2*sM-1;\n",
"print\"mM-2*sM =\",mM-2*sM;\n",
"print\"System power margin is\",round(spm,4),\"dB\"; #answer is slighty diferent due to m\\sM=1.03"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dmax is 18.0 ps/nm\n",
"Maximum link distance is 6.4286 km\n",
"Mean link margin is 14.94 dB\n",
"Sigma link margin is 1.0374 dB\n",
"mM-2*sM = 12.8251988047\n",
"System power margin is 11.8252 dB\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.17,Page number 486"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Ncso=50;\n",
"a=3.6*10**-3;\n",
"m=0.05;\n",
"CSO=10*math.log10(Ncso*(a*m)**2);\n",
"print\"CSO distortion for 50 channel optical system =\",round(CSO,4),\"dB\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CSO distortion for 50 channel optical system = -57.9048 dB\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Example 12.18,Page number 486"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"CSO=-59.8; #in dB\n",
"y=10**(CSO/10);\n",
"print\"AM modulation depth (m) = \",\"{0:.3e}\".format(y);\n",
"asq=3.6*10**-3;\n",
"Ncso=50;\n",
"msq=(y/Ncso/asq/asq);\n",
"print\"m^2 =\",\"{0:.3e}\".format(msq);\n",
"print\"Decrease of AM modulation depth decrease the CSO distortion by =\",round(math.sqrt(msq)*100,1),\"percent\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"AM modulation depth (m) = 1.047e-06\n",
"m^2 = 1.616e-03\n",
"Decrease of AM modulation depth decrease the CSO distortion by = 4.0 percent\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.19,Page number 486"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Ncto=50;\n",
"b=1.07*10**-2;\n",
"m=0.05;\n",
"CTO=10*math.log10(Ncto*(1.5*b*m)**2);\n",
"print\"CTO distortion for 50 channel optical system =\",round(CTO,4),\"dB\"; \n",
"#Answer in the book is misprinted\n",
"#The solution in the book is calculated without multipication of Ncto"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CTO distortion for 50 channel optical system = -44.9214 dB\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.20,Page number 487"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Ncso=80;\n",
"a=2.43*10**-3;\n",
"b=4.65*10**-3;\n",
"m=0.05;\n",
"\n",
"#Part (i)\n",
"CSO=10*math.log10(Ncso*(a*m)**2);\n",
"print\"CSO distortion for 50 channel optical system for m = 5 percent CSOdB =\",round(CSO,4),\"dB\"; \n",
"\n",
"#Part (ii)\n",
"CTO=10*log10(Ncso*(1.5*b*m)**2);\n",
"print\"CTO distortion for 50 channel optical system for m = 5 percent CTOdB =\",round(CTO,4),\"dB\";\n",
"\n",
"#Part (iii)\n",
"m=0.03;\n",
"\n",
"CSO=10*log10(Ncso*(a*m)**2); \n",
"# Value of a in the book is considered 2.4 instead of 2.43\n",
"print\"CSO distortion for 50 channel optical system for m = 3 percent CSOdB =\",round(CSO,4),\"dB\"; \n",
"\n",
"#Part (iv)\n",
"CTO=10*math.log10(Ncso*(1.5*b*m)**2);\n",
"print\"CTO distortion for 50 channel optical system for m = 3 percent CTOdB =\",round(CTO,4),\"dB\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CSO distortion for 50 channel optical system for m = 5 percent CSOdB = -59.2776 dB\n",
"CTO distortion for 50 channel optical system for m = 5 percent CTOdB = -50.1188 dB\n",
"CSO distortion for 50 channel optical system for m = 3 percent CSOdB = -63.7145 dB\n",
"CTO distortion for 50 channel optical system for m = 3 percent CTOdB = -54.5558 dB\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.21,Page number 487"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"RIN=-150; #in dB\n",
"B=4*10**6;\n",
"m=0.04;\n",
"CNR=10*math.log10(m**2/(2*10**-15*B));\n",
"print\" CNR =\",round(CNR,4),\"dB\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" CNR = 53.0103 dB\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.22,Page number 488"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"CNR=50; #in dB\n",
"Bch=4*10**6;\n",
"m=0.03;\n",
"RIN=m**2/2/Bch/10**(CNR/10)\n",
"print\"RIN =\",\"{0:.3e}\".format(RIN);\n",
"#Miscalculated answer in the book\n",
"RINdB=10*log10(RIN);\n",
"print\"RIN in Db is\",round(RINdB,4);\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"RIN = 1.125e-15\n",
"RIN in Db is -149.4885\n"
]
}
],
"prompt_number": 21
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.23,Page number 490"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Ipd=0.15; #in mA\n",
"n=0.75;\n",
"e=1.6*10**-19; #electron charge\n",
"hv=1.55*10**-19;\n",
"Pin=hv*Ipd/n/e;\n",
"print\"Pin =\",round(Pin,4),\"mW\"; #Result\n",
"#answer in book is misprint"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Pin = 0.1937 mW\n"
]
}
],
"prompt_number": 22
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.24,Page number 492"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"OBR=-40; #in dB\n",
"#y=Pref/Pin\n",
"y=10**(OBR/10.);\n",
"print\" Prefl =\",round(y*100,4),\"percent Pin\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Prefl = 0.01 percent Pin\n"
]
}
],
"prompt_number": 23
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.25,Page number 493"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"R=800; #in V/W\n",
"Pin=1.5; #in mW\n",
"m=0.04;\n",
"Voutp=R*Pin*m;\n",
"print\"Vout(peak) =\",Voutp,\"mV\";\n",
"Vavg=Voutp/math.sqrt(2);\n",
"print\"Vavg =\",round(Vavg,4),\"mV\";\n",
"#in dB\n",
"Vavgd=20*math.log10(Vavg*10**-3);\n",
"print\"Vavg(in dBmV) =\",round(Vavgd,4);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Vout(peak) = 48.0 mV\n",
"Vavg = 33.9411 mV\n",
"Vavg(in dBmV) = -29.3855\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.26,Page number 494"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Voutp=20; #in dB\n",
"Pin=1.2; #in mW\n",
"m=0.035;\n",
"Vavg=10**(Voutp/20); #in \n",
"R=Vavg*math.sqrt(2)/Pin/m;\n",
"print\"R =\",round(R,4),\"V/W\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"R = 336.7175 V/W\n"
]
}
],
"prompt_number": 27
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.27,Page number 494"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Voutp=28.; #in dB\n",
"Pin=1; #in mW\n",
"R=800; #in V/W\n",
"Vavg=10**(Voutp/20); #in \n",
"m=Vavg*math.sqrt(2)/Pin/R;\n",
"print\"The modulation depth ,m =\",round(m*100,4),\"percent\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The modulation depth ,m = 4.4404 percent\n"
]
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.28,Page number 495"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Ipd=1.2; #in mA\n",
"m=0.04; \n",
"RINd=-160.; #in dB/Hz\n",
"e=1.6*10**-19; \n",
"nth=8; #in pA/Hz\n",
"BW=4; #in MHz\n",
"Rin=10**(RINd/10); #in \n",
"\n",
"CNR=(0.5*(m*Ipd*10**-3)**2)/((2*e*Ipd*10**-3)+(Rin*Ipd*10**-3)**2+((nth*10**-12)**2)*BW/10**6);\n",
"print\"Value of CNR=\",\"{0:.3e}\".format(CNR);\n",
"CNRdB=10*math.log10(CNR)\n",
"print\"Value of CNR in dB=\",round(CNRdB,4),\"dB\"\n",
"#Answer in the book is misprinted or wrong calculation performed in the book\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of CNR= 3.000e+12\n",
"Value of CNR in dB= 124.7712 dB\n"
]
}
],
"prompt_number": 32
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.29,Page number 509"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"L1=40; #in km\n",
"L2=100; #in km\n",
"A=0.2; #in dB/Km\n",
"TFA1=A*L1;\n",
"\n",
"print\"Total fibre span attenuation\",round(TFA1,4),\"dB\";\n",
"TFA2=A*L2;\n",
"print\"Total fibre span attenuation\",round(TFA2,4),\"dB\";\n",
"nsd=TFA2-TFA1;\n",
"print\"Noise spectral density =\",round(nsd,4),\"dB\";\n",
"nsd_abs=10**(nsd/10)\n",
"print\"Absolute value of noise spectral density =\",round(nsd_abs,4),\"dB\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Total fibre span attenuation 8.0 dB\n",
"Total fibre span attenuation 20.0 dB\n",
"Noise spectral density = 12.0 dB\n",
"Absolute value of noise spectral density = 15.8489 dB\n"
]
}
],
"prompt_number": 33
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.30,Page number 510"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"P1=2.75; #in mW\n",
"NFd=5; #in dB\n",
"bw=5; #in GHz\n",
"G=10; #in dB\n",
"hv=1.6*10**-19; #photon energy in J\n",
"N=1; #no of amplifiers\n",
"NF=10**(NFd/10.); #amplifier noise figure\n",
"SNR=10*math.log10(P1*10**-3/(G*hv*bw*10**9*N*NF)); #signal to nois eratio\n",
"print\"Spectral Noise density =\",round(SNR,4),\"dB\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Spectral Noise density = 50.3624 dB\n"
]
}
],
"prompt_number": 35
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.31,Page number 510"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"SNRdB=40; #in dB\n",
"NFd=6; #in dB\n",
"bw=4; #in GHz\n",
"Gd=8; #in dB\n",
"hv=1.6*10**-19; #photon energy in J\n",
"N=8; #no of amplifiers\n",
"SNR=10**(SNRdB/10.);\n",
"NF=10**(NFd/10.); #amplifier noise figure\n",
"G=10**(Gd/10.); #amplifer gain\n",
"P1=10*(SNR/10.)*(G*hv*bw*10**9*N*NF)/10**-3; #optical power launched into fibre\n",
"print\"Optical power required , Pl =\",round(P1,4),\"mW \";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Optical power required , Pl = 1.2861 mW \n"
]
}
],
"prompt_number": 36
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.32,Page number 518"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"l=1550; #wavelength in nm\n",
"fb=10; #system bit rate Gb/s\n",
"Df=17; #fiber dispersion in ps/nm-km\n",
"L=10**5/Df/fb**2; #fiber length in km \n",
"print\"Transmission length is\",round(L,4),\"km\";\n",
"fb2=2.5; #system bit rate Gb/s\n",
"print\"for fb=2.5 Gb/s\"\n",
"L2=10**5/Df/fb2**2; #fiber length in km \n",
"print\"Transmission length is\",round(L2,4),\"km\"; #answer misprint in book\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Transmission length is 58.0 km\n",
"for fb=2.5 Gb/s\n",
"Transmission length is 941.12 km\n"
]
}
],
"prompt_number": 37
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.33,Page number 518"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"lembda=1550; #wavelength in nm\n",
"Df=17; #fiber dispersion in ps/nm-km\n",
"L=80 #fiber length in km \n",
"fb=math.sqrt(10**5/Df/L)\n",
"print\"Maximum bit rate fb =\",round(fb,4),\"Mb/s\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum bit rate fb = 8.544 Mb/s\n"
]
}
],
"prompt_number": 38
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.34,Page number 530"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"D=0.2; #dispersion constant in ps/nm/km\n",
"Tfwhm=18; #ps\n",
"Zs=0.25*Tfwhm**2/D; #Characteristic length\n",
"print\" Zs =\",Zs,\"km\"; #answer in book is miscalculated\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Zs = 405.0 km\n"
]
}
],
"prompt_number": 40
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.35,Page number 530"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"lembda=1550; #wavelength in nm\n",
"c=3*10**5; #speed of light in km/s\n",
"Zs=600; #in km\n",
"Tfwhm=20; #in ps\n",
"D=1/1.763**2*(2*math.pi*c*Tfwhm**2/(lembda**2*Zs)); #dispersion constant\n",
"print\"dispersion constant, D =\",round(D,4),\"ps/nm/km\"; \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"dispersion constant, D = 0.1683 ps/nm/km\n"
]
}
],
"prompt_number": 42
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.36,Page number 530"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"l=1557; #wavelength in nm\n",
"c=3*10**5; #speed of light in km/s\n",
"Zs=550; #in km\n",
"D=0.25; #in ps/nm/km\n",
"Tfwhm=math.sqrt(1.763**2*l**2*D*Zs/(2*math.pi*c)); #Soliton pulse width \n",
"print\"Tfwhm =\",round(Tfwhm,3),\"ps\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Tfwhm = 23.445 ps\n"
]
}
],
"prompt_number": 47
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.37,Page number 531"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Aeff=55; #in sq micrometer\n",
"l=1557; #wavelength in nm\n",
"c=3*10**5; #speed of light in km/s\n",
"n2=2.6*10**-16; #in cm**2/W\n",
"D=0.20; #Dispersion constant in ps/nm/km\n",
"Tfwhm=30; #in ps\n",
"Zs=(2*math.pi*c*Tfwhm**2/l**2/D)/(1.763)**2 ; #charecteristic length \n",
"print\" Zs =\",round(Zs,4),\"km\"; \n",
"Ps=(Aeff*10**-12*l*10**-9)/(2*math.pi*n2*10**-4*Zs*10**3); #Peak pulse power\n",
"#Miscalculation in the book\n",
"print\" Ps =\",round(Ps*1000,4),\"mW\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Zs = 1125.7236 km\n",
" Ps = 0.4657 mW\n"
]
}
],
"prompt_number": 48
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.38,Page number 533"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Z=10; #in mm\n",
"Tfwhm=22; #in ps\n",
"D=0.5; #ps/nm/km\n",
"Aeff=55; #in microm^2\n",
"A=0.05; #in km^-1\n",
"nsp=1.5; #spontaneous emission \n",
"F=2; #amplifier noise\n",
"s=3.6*10**3*nsp*F*A*D*Z**3/(Aeff*Tfwhm);\n",
"print\" sigma =\",round(s,4),\"ps\"; \n",
"#answer in book is misprint\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" sigma = 223.1405 ps\n"
]
}
],
"prompt_number": 49
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.39,Page number 533"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Q1=4; #quality factor\n",
"Q2=6; #quality factor\n",
"BER1=(2*math.pi*(Q1**2+2))**-0.5*math.e**(-Q1*Q1/2); \n",
"BER2=(2*math.pi*(Q2**2+2))**-0.5*math.e**(-Q2*Q2/2);\n",
"print\"For Q=4 ,BER =\",\"{0:.3e}\".format(BER1); \n",
"print\"For Q=6 ,BER =\",\"{0:.3e}\".format(BER2); \n",
"#Answer second is misprinted in the book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For Q=4 ,BER = 3.154e-05\n",
"For Q=6 ,BER = 9.856e-10\n"
]
}
],
"prompt_number": 52
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.40,Page number 534"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"D=0.5; #Dispersion constant ps/nm/km\n",
"Ts=22; #Pulse width in ps\n",
"fb=10; #system transmission rate in Gb/s\n",
"Z1=1; #System total length Mm\n",
"Z2=10; #System total length Mm\n",
"sa1=8.6*D*D*Z1*Z1*math.sqrt(fb-0.99)/22/2; #standard deviation based on accoustic effect\n",
"sa2=8.6*D*D*Z2*Z2*math.sqrt(fb-0.99)/22/2; #standard deviation based on accoustic effect\n",
"print\"For Z=1000km ,sigma acoustic =\",round(sa1,4),\"ps\"; \n",
"print\"For Z=10000km ,sigma acoustic =\",round(sa2,4),\"ps \"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For Z=1000km ,sigma acoustic = 0.1467 ps\n",
"For Z=10000km ,sigma acoustic = 14.6672 ps \n"
]
}
],
"prompt_number": 50
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.41,Page number 535"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"D=0.45; #dispersion coefficient in ps/nm/km\n",
"Ts=22; #Pulse width in ps\n",
"l=0.5; #length in nm\n",
"Lcollision=2*Ts/l/D; #collision length in km\n",
"print\"Lcollision =\",round(Lcollision,4),\"km\"; \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Lcollision = 195.5556 km\n"
]
}
],
"prompt_number": 54
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.42,Page number 537"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"f=70; #Maximum frequencyshift in Ghz\n",
"Ts=22; #Pulse width in ps\n",
"CS=1.783*f*10**9*Ts*10**-12; #half channel seperation \n",
"print\"The half channel seperation\",round(CS,4);\n",
"\n",
"df=0.105/f/10**9/Ts/Ts/10**-24; #maximum frequency shift\n",
"print\"The maximum frequency shift\",round(df/10**9,4),\"GHz\";\n",
"\n",
"dt=0.1786/f/10**9/f/10**9/Ts/10**-12; #time displacement\n",
"print\"The time displacement\",round(dt*10**12,4),\"ps\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The half channel seperation 2.7458\n",
"The maximum frequency shift 3.0992 GHz\n",
"The time displacement 1.6568 ps\n"
]
}
],
"prompt_number": 56
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.43,Page number 538"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"M=1.; \n",
"N=1.; #no of collision \n",
"S1=4.; #soliton colllision \n",
"S2=5.; #soliton colllision \n",
"Nc=S1*S1/4*(M*S1/2-M+N); #minimum no of collision\n",
"print\"Ncollision for S=4,is\",Nc;\n",
"Nc2=(S2*S2-1)/4*(M*S2/2-M+N); #minimum no of collision\n",
"print\"Ncollision for S=5,is\",Nc2;"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Ncollision for S=4,is 8.0\n",
"Ncollision for S=5,is 15.0\n"
]
}
],
"prompt_number": 58
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.44,Page number 539"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"S=4.;\n",
"n=5;\n",
"print\"Maximum number of solition Collisions\";\n",
"for M in range(1,n+1):\n",
" N=M;\n",
" Nc=S*(M*S*S/3.+S*(N/2.-M)-N/2.+2*M/3.); #minimum no of collision\n",
" print\" M=\",M,\" N=\",N,\" S=\",S,\"is\",Nc;"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum number of solition Collisions\n",
" M= 1 N= 1 S= 4.0 is 14.0\n",
" M= 2 N= 2 S= 4.0 is 28.0\n",
" M= 3 N= 3 S= 4.0 is 42.0\n",
" M= 4 N= 4 S= 4.0 is 56.0\n",
" M= 5 N= 5 S= 4.0 is 70.0\n"
]
}
],
"prompt_number": 64
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.45,Page number 539"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"M=1; #number of solition Collisions\n",
"N=1; # number of solition Collisions\n",
"x=2; \n",
"y=1./2;\n",
"p=3;\n",
"p2=4;\n",
"Tb=100; #ps\n",
"l=1; #difference in wavelength in nm \n",
"D=7*10**-2; #ps/nm**2*km\n",
"Zr=y*y*(Tb/l/l/D); #regeration spacing in km\n",
"print\" Zr =\",Zr,\"km\";\n",
"P=(p-1)*N+(p-2)*(p-1)*M/2.;\n",
"print\" P(\",p,\") =\",P; #result number of Collisions\n",
"P2=(p2-1)*N+(p2-2)*(p2-1)*M/2.; \n",
"print\" P(\",p2,\") =\",P2; #result number of Collisions"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Zr = 357.142857143 km\n",
" P( 3 ) = 3.0\n",
" P( 4 ) = 6.0\n"
]
}
],
"prompt_number": 82
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.46,Page number 540"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Tb=100; #bit period in ps\n",
"dZ=0.4; #in ps/nm/km\n",
"Zr=150; #Modulator spacing in km\n",
"Ta=Tb/(dZ*Zr); #channel spacing in nm\n",
"print\"Channel spacing\",round(Ta,4),\"nm\"; "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Channel spacing 1.6667 nm\n"
]
}
],
"prompt_number": 80
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.47,Page number 540"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Zr=200; #Modulator spacing in km\n",
"D=0.6; #in ps/nm/km\n",
"l=2; #in nm\n",
"Tb=l*(Zr*D); #bit period in ps\n",
"print\"Bit period Tb =\",Tb,\"ps\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Bit period Tb = 240.0 ps\n"
]
}
],
"prompt_number": 78
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.48,Page number 540"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"D=0.5; #ps/nm-km\n",
"Tb=80; #bit period in ps\n",
"l=1.5; #in nm\n",
"Zr=Tb/(D*l); #Modulator spacing in km\n",
"print\" Maximum modulator spacing Zr =\",round(Zr,4),\"km\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Maximum modulator spacing Zr = 106.6667 km\n"
]
}
],
"prompt_number": 76
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.49,Page number 541"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Zd=100; #in km\n",
"Do=0.07; #in ps/nm**2\n",
"D1=-0.3; #in ps/nm**2\n",
"Ldsf=(Zd*Do)/(Do-D1); #length of dispersion compensation fiber in km\n",
"print\"Length of Dispersion compensation fiber, Ldsf =\",round(Ldsf,4),\"km\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Length of Dispersion compensation fiber, Ldsf = 18.9189 km\n"
]
}
],
"prompt_number": 73
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.50,Page number 542"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"m=3;\n",
"n=1;\n",
"Tb=100; #ps\n",
"l=1; #nm\n",
"D=0.07; #ps/nm**2*km\n",
"lmn=1; #nm\n",
"lmo=2; #nm\n",
"Do=0.1; #ps/nm-km\n",
"Lc=4*Tb/(5*D*lmn*(lmn+2*lmo)); #Collision length in km\n",
"print\"Collision length without dispersion slope compensation =\",round(Lc,4),\"km\";\n",
"Lc2=2*Tb/(5*Do*lmn); #Collision length in km\n",
"print\"Collision length with dispersion slope compensation =\",Lc2,\"km\";"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Collision length without dispersion slope compensation = 228.5714 km\n",
"Collision length with dispersion slope compensation = 400.0 km\n"
]
}
],
"prompt_number": 70
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.51,Page number 542"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#given\n",
"\n",
"Zr=200; #in km\n",
"S=4;\n",
"Ltot1=2*Zr*(S-1); #total solition collion length in km\n",
"print\"Total solition Collisions length With DSC ,Ltotal =\",round(Ltot1,4),\"km\";\n",
"Ltot2=(2./5)*Zr*(S-1); #total solition collion length in km\n",
"print\"Total solition Collisions length With non-DSC ,Ltotal =\",round(Ltot2,4),\"km\";\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Total solition Collisions length With DSC ,Ltotal = 1200.0 km\n",
"Total solition Collisions length With non-DSC ,Ltotal = 240.0 km\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}