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Hopf Bifurcation in Parallel Polarized Nd: YAG Laser

Publication Type : Journal Article

Publisher : Elsevier

Source : Chaos, Solitons & Fractals, Elsevier, Volume 42, Number 1, p.515–521 (2009)

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Campus : Amritapuri

School : School of Arts and Sciences

Department : Physics

Year : 2009

Abstract : Dynamics 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 (Ij, Gj), 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.

Cite this Research Publication : M. R. Parvathi, Krishna, B. M., Rajesh, S., John, M. P., and Dr. V . M. Nandakumaran, “Hopf bifurcation in parallel polarized Nd: YAG laser”, Chaos, Solitons & Fractals, vol. 42, pp. 515–521, 2009

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