Abstract

Propagating and periodically amplified and filtered pulses are considered as resonant periodic orbits of the applied variational model. Launching conditions (initial width and chirp) resulting in selection of particular nonlinear modes are given by a Poincaré map analysis. The resonant periodic orbits and the corresponding nonlinear modes of the real system are shown to be destroyed under strong filtering. Application of Melnikov’s method provides estimates of filtering margin for specific nonlinear mode preservation. Direct simulations of the real system show that the nonlinear modes that are characterized by large-amplitude pulse-shape oscillations exhibit a remarkably low radiation emission.

© 2003 Optical Society of America

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