Modeling of signal propagation in a nonlinear periodic structure
Abstract:
Simple models of nonlinear dispersive media, described by nonlinear
Schroedinger equation and nonlinear Klein-Gordon equation were analyzed.
The criterion that defines the character of modulational instability (of
convective or of absolute type) in such systems was derived. Regimes of
nonlinear tunneling were studied in details. It was shown that soliton
tunneling takes place when modulational instability is absolute, and quasi-linear
tunneling occurs when instability is convective. Developed theory was applied
to interpret the results of numerical simulation of signal propagation
in nonlinear periodic structure near cut-off frequency.