Multimode effects on the evolution and long-term stability of a passively mode-locked laser under pulsed injection locking

A multidimensional extension of the injection locking of CW lasers has been recently presented and experimentally verified when both a passively and an actively mode-locked laser were locked to injected coherent pulse trains, Harmonic injection locking of a passively mode-locked laser, where a subset of the laser cavity modes were lacked to the injected signal, was also recently realized in a fiber laser to yield trains of 6-ps pulses at rates of up to 40 GHz, In this paper, the multimode injection-locking process is addressed with an emphasis on the long-term dynamics of the laser, pulse buildup under injection locking, memory effects, noise mechanism as well as potential applications, e.g., optical signal regeneration, Using a recently introduced formalism for describing passively mode-locked lasers, the experimental results are compared to numerical simulations.