D Kouznetsov et al 2007 J. Phys. A: Math. Theor. 40 2107 doi:10.1088/1751-8113/40/9/016
D Kouznetsov, J-F Bisson, J Li and K Ueda
Show affiliationsA simple model of self-pulsation in lasers is considered. The laser is described by the system of two ordinary differential equations for the number of photons in the cavity and the number of excitations in the active medium, leading to the equation for the oscillator Toda with damping. For the case of strong spiking, the damping is considered as perturbation; the estimates in terms of elementary functions are suggested for the period of pulsation, damping rate, amplitude and phase of pulsation, quasi-energy and the output power. These estimates are compared to the numerical solution and to the experimental data.
42.60.Rn Relaxation oscillations and long pulse operation
02.60.Lj Ordinary and partial differential equations; boundary value problems
65L07 Numerical investigation of stability of solutions
78A60 Lasers, masers, optical bistability, nonlinear optics (See also 81V80)
Issue 9 (2 March 2007)
Received 20 July 2006, in final form 15 January 2007
Published 14 February 2007
D Kouznetsov et al 2007 J. Phys. A: Math. Theor. 40 2107
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