The passive Q-switching operation in a laser with a saturable absorber consists of an operation with high-intensity spikes in the output power. It is known that this particular regime corresponds mathematically to a large-amplitude time-periodic solution of the laser equations. In this paper we propose a new asymptotic method to construct this solution. We show how the time-periodic solution appears from an infinite-period solution (homo-clinic solution) and analyze the behavior of the maximum intensity and the period as a function of a control parameter. This asymptotic method is based on a recent evaluation of the parameters for CO2 lasers with different absorbers [ ArimondoE.CasagrandeF.LugiatoL. A.GlorieuxP., Appl. Phys. B 30, 57 ( 1983)]. The relative magnitudes obtained by Arimondo et al. suggest a new approximation of the laser equations.
© 1988 Optical Society of America
Original Manuscript: August 24, 1987
Manuscript Accepted: December 2, 1987
Published: May 1, 1988
Thomas Erneux, "Q-switching bifurcation in a laser with a saturable absorber," J. Opt. Soc. Am. B 5, 1063-1069 (1988)