Module 5 : Pulse propagation through third order nonlinear optical medium

Lecture 34 : Propagation In Fibers

 
The solution of the wave equation comprises of the general form
(34.21)
Thus in the absence of dispersion, pulses of arbitrary shape travel without distortion through the fiber.
Proof:
Let us consider the optical pulse at the input end of medium
(34.22)
f(t) is related to its counterpart, F(w) in the frequency domain as
(34.23)
 After traveling a distance z
(34.24)

Where

(34.25)