Numerical study of reverse period doubling route from chaos to stability in a two-mode intracavity doubled Nd-YAG laser

Abstract

We have numerically studied the behavior of a two-mode Nd-YAG laser with an intracavity KTP crystal. It is found that when the parameter, which is a measure of the relative orientations of the KTP crystal with respect to the Nd-YAG crystal, is varied continuously, the output intensity fluctuations change from chaotic to stable behavior through a sequence of reverse period doubling bifurcations. The graph of the intensity in the X-polarized mode against that in the Y-polarized mode shows a complex pattern in the chaotic regime. The Lyapunov exponent is calculated for the chaotic and periodic regions.

Hopf bifurcation in parallel polarized Nd:YAG laser

“…This dependence is due to the fact that the amount of green light produced by sum frequency generation depends on whether the contributing fundamental modes are polarized parallel or orthogonal to each other. It has been shown that when the laser is operating with two orthogonally polarized modes the chaotic fluctuations in the output intensity can be stabilized through a reverse period doubling bifurcation by varying a particular control parameter (relative orientation of YAG and KTP crystal) [4]. An entirely different dynamical behavior is expected if the modes chosen are having the same polarization state.…”

“…A detailed stability analysis of the bifurcation phenomena is carried out by using Routh-Hurwitz criteria [5][6][7][8] and also by calculating the eigen values of the Jacobian. Effect of change in orientation of YAG and KTP crystal on the energy transfer between the two laser cavity modes is also studied [4].…”

Synchronization and control of chaos in coupled chaotic multimode Nd:YAG lasers

“…It was Baer who developed a deterministic rate equation model to explain the fluctuations [17]. It has been shown that the laser output can be stabilized through a sequence of reverse period doubling bifurcation by varying the orientation of KTP crystal and the laser cavity [18].…”

Dynamics of two coupled chaotic multimode Nd:YAG lasers with intracavity frequency doubling crystal

“…In this paper we report the results of our numerical studies on the effect of coupling of two multimode Nd:YAG lasers with intracavity KTP crystal for frequency doubling. The chaotic behavior of such a laser has been studied extensively by many authors both experimentally and theoretically [14][15][16][17][18][19][20][21][22].…”