Hopf bifurcation in parallel polarized Nd:YAG laser

Abstract

a b s t r a c tDynamics of Nd:YAG laser with intracavity KTP crystal operating in two parallel polarized modes is investigated analytically and numerically. System equilibrium points were found out and the stability of each of them was checked using Routh-Hurwitz criteria and also by calculating the eigen values of the Jacobian. It is found that the system possesses three equilibrium points for (I j , G j ), where j = 1, 2. One of these equilibrium points undergoes Hopf bifurcation in output dynamics as the control parameter is increased. The other two remain unstable throughout the entire region of the parameter space. Our numerical analysis of the Hopf bifurcation phenomena is found to be in good agreement with the analytical results. Nature of energy transfer between the two modes is also studied numerically.

Multi-user bidirectional communication using isochronal synchronisation of array of chaotic directly modulated semiconductor lasers

“…Chaotic synchronisation has emerged as an important topic of research in diverse fields like physical [1], chemical [2] and biological systems [3]. Synchronisation of chaotic lasers has attracted much attention in the recent years for its potential application in single as well as multi-channel secure communication [4][5][6][7][8][9][10]. Recently, secure high speed long distance communication is achieved using synchronisation of chaotic lasers [11].…”