Abstract

We present a generalization of the Haus master equation in which a dynamical boundary condition allows to describe complex pulse trains, such as the $Q$-switched and harmonic transitions of passive mode-locking, as well as the weak interactions between localized states. As an example, we investigate the role of group velocity dispersion on the stability boundaries of the $Q$-switched regime and compare our results with that of a time-delayed system.

© 2020 Optical Society of America

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