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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+//Introduction to Fiber Optics by A. Ghatak and K. Thyagarajan, Cambridge, New Delhi, 1999
+//Example 17.7
+//OS=Windows XP sp3
+//Scilab version 5.5.2
+clc;
+clear;
+//given
+//Since the peak reflectivity of fiber is 0.93%,
+R=0.93;//Reflection coefficient of fiber
+L=4.8e-3;//Length of fiber in m
+lambdaB=1532.1e-9;//Bragg wavelength in m
+neff=1.4517;//Corresponding value of effective index in LP01 mode
+I=0.5;//Transverse overlap integral of modal distribution
+
+//Now, (tanh(k*L))^2=R
+//Rearranging terms, we get:
+k=atanh(sqrt(R))/L;//Corresponding coupling coefficient in m^(-1)
+mprintf("\n k=%.3f mm^(-1)",k/1e3);//Dividing by 10^3 to convert into mm^(-1)
+//The answers vary due to round off error
+
+//Rearranging terms of expression k=%pi*Deltan*I/lambdaB
+Deltaneff=k*lambdaB/(%pi);//Change in effective refractive index
+mprintf("\n Deltaneff=%.2e",Deltaneff);//Unitless quantity
+//The answers vary due to round off error
+
+DeltaLambda=lambdaB^2/(%pi*neff*L)*sqrt((k*L)^2+(%pi)^2);//Corresponding bandwidth in m
+mprintf("\n DeltaLambda=%.2f nm",DeltaLambda/1e-9);//Division by 10^(-9) to convert into nm