# Fiber Grating Using Finite Difference Method

by renxiaoxie
Tags: difference, fiber, finite, grating, method
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 P: 1 Fiber Grating Using Finite Difference Method I have to solve the Fiber grating coupled-equations using FDM. These equations are coupled each other and strange inital conditions. That means ode45 from the matlab library function doesnt work here! I am totally fresh in numerical analysis and read some books, but unlukcy, i still confuse how to do this code:( Anyone has the program that solve this problem, pls share with me! Thank you %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The probelm is: Parameters described: AF(z,t) is the amplitude of forward-propagation-waves; AB(z,t) corresponds to the backward-propagation-waves; z and t are space and time coordinates; AFz = dAF/dz AFt = dAF/dt; ABz = dAF/dz ABt = dAF/dt; i=sqrt(-1); vg, delta, kapa, gama are constant terms. The coupled-equations is: i*AFz + i*AFt/vg + delta*AF + kapa*AB + gama*(|AF|^2+2*|AB|^2)*AF = 0 -i*ABz + i*ABt/vg + delta*AB + kapa*AF + gama*(|AB|^2+2*|AF|^2)*AB = 0 and the inital conditons: AF(0,t)=A(t); AF(z,0)=0; AB(L,t)=0; AB(z,0)=0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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