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The European Physical Journal B

Influence of saturable absorber on critical phenomenon analogies in single mode laser driven by external coherent field

Jian-Min Liu

Published Mar 1, 1984• 3 citations
Publisher
DOI
10.1007/bf01679930

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Physical Review A•Nov 1, 1973•66 citations
As a continuation of a previous paper [J.-M. Liu, Z. Phys. B 57, 85 (1984)], the present paper is about the dynamical threshold phenomena in the system of a single-mode one-photon laser driven by an external coherent field. The values for the dynamical threshold exponents and amplitudes near the various thresholds are theoretically predicted. As shown, the characteristic time goes to infinity as the control parameters of the system approach each of these thresholds, and the influence of the existence of the absorbing atoms in the laser cavity on the dynamical threshold phenomena in the system is definite.
This paper discusses the case of a Doppler-broadened gas laser with a saturable intracavity absorber gas. The semiclassical equations governing the field intensities and the atomic density-matrix elements are set up. The latter are written as Fourier series, the components of which are shown to obey coupled difference equations. In this paper the exact steady-state solution in single-mode operation is obtained. The lowest approximation (rate-equation approximation) is used to compute detailed characteristics of the system. In particular, the influence of the pumping rates in the two cells are investigated and displayed in the figures. The regions of bistable operation are determined and conditions for the occurrence of an inverted Lamb dip are given. The effect of a slow modulation of the pumping rates is discussed. The range of validity of the lowest approximation is investigated both analytically and numerically. Finally, there is a brief discussion of the influence of pressure on the parameters of the theory.