title: Delay differential equations for mode-locked semiconductor lasers.
abstract: We propose a new model for passive mode locking that is a set of ordinary delay differential equations. We assume a ring-cavity geometry and Lorentzian spectral filtering of the pulses but do not use small gain and loss and weak saturation approximations. By means of a continuation method, we study mode-locking solutions and their stability. We find that stable mode locking can exist even when the nonlasing state between pulses becomes unstable.
authors.affiliation: Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany. vladimir@wias-berlin.de
authors.forename: Andrei G
authors.initials: AG
authors.lastname: Vladimirov
authors.forename: Dmitry
authors.initials: D
authors.lastname: Turaev
authors.forename: Gregory
authors.initials: G
authors.lastname: Kozyreff