Open AccessDynamics of two lasers coupled via mutual cavity-loss modulation
Author(s) -
Almaz Mustafin
Publication year - 2019
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. fizika seriâsy/ķaraġandy universitetìnìņ habaršysy. fizika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5089
pISSN - 2518-7198
DOI - 10.31489/2019ph4/15-23
Subject(s) - bistability , semiconductor laser theory , physics , laser , oscillation (cell signaling) , nonlinear system , coupling (piping) , bifurcation , synchronization (alternating current) , relaxation (psychology) , limit cycle , optical bistability , quantum electrodynamics , quantum mechanics , nonlinear optics , mathematics , topology (electrical circuits) , materials science , psychology , social psychology , genetics , combinatorics , metallurgy , biology
A mathematical model for synchronization of two single-mode semiconductor lasers is built within the framework of the rate equations approximation. The model has the form of a system of nonlinear ordinary differential equations for electron concentrations and photon densities in both lasers. The lasers are coupled in such a way that the cavity losses of each device are proportional to the light intensity emitted by the other. Besides, the equations take into account the nonlinear (quadratic) losses. The system is analyzed by the methods of bifurcation theory and multiple scale techniques. It is shown that the model exhibits different behavior at strong and weak coupling between the lasers. At strong coupling, there is no oscillation in the system, though the phenomena of bistability and hysteresis are possible. At weak coupling, a stable limit cycle and spiky relaxation oscillations may emerge. It is found that synchronous oscillations of the photon density in lasers occur in antiphase. The proposed synchronization scheme could be useful in obtaining long-period pulsations.