From the result of Problem 3.3 for k-(_),
find the PDE describing envelope propagation in an NIM. Solve this numerically
to find the evolution of an initial Gaussian pulse in time after a certain
distance of propagation . How would you determine numerically that the
medium is indeed an NIM?
Assume that a complex propagation constant is given by
(b). .Using the dispersion relation, derive the PDE for the
wave propagation using the operator formalism for k and _.
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