Instabilities in lasers with an injected signal

Year: 1985

Authors: Tredicce J., Arecchi F.T., Lippi G.L., Puccioni GP.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, I50125 Firenze, Italy;
Dipartimento di Fisica, Università di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy

Abstract: We consider a laser with an injected signal, in which the polarization can be adiabatically eliminated, we study the stability of the steady-state solutions, and we discuss the time-dependent solutions. For the laser alone, the only possible solution is constant intensity. However, the introduction of an external field, with an amplitude that does
not satisfy the injection-locking condition, destabilizes the system. In such a case, numerical results show the existence of a self-Q-switching process, which induces relaxation oscillations. The frequency of the giant pulses is directly related to the amplitude of the external field, whereas the frequency of the relaxation oscillations depends on the damping rates. We show also that, depending on the value assigned to control parameters, the interaction between these frequencies leads to a chaotic behavior through intermittency or period-doubling bifurcations. Finally, topological equivalence between our laser system and a unidimensional circle map is shown for some values of control parameters.

Journal/Review: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B: OPTICAL PHYSICS

Volume: 2 (1)      Pages from: 173  to: 183

KeyWords: instability; laser;
DOI: 10.1364/JOSAB.2.000173

Citations: 216
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