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Physical Review Letters

Instabilities of a Homogeneously Broadened Laser

E. H. M. Hogenboom, W. Klische, Carl O. Weiss, A. Godone

Published Dec 2, 1985• 63 citations
Publisher

Abstract

We report on instabilities of a single-mode laser operating under homogeneous broadening conditions. Bichromatic emission as recently predicted from the Lorenz model as well as the correspondingly high second thresholds are found.
DOI
10.1103/physrevlett.55.2571

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The instabilities in homogeneously broadened lasers, which we described in the previous chapter, have a paradigmatic importance because they arise in models which allow one to perform the linear-stability analysis in a simple analytic form. The treatment of the corresponding instabilities in the case of in homogeneously broadened lasers is substantially more complex in general. However, it is very interesting because, as we shall see, the instabilities arise in parametric domains that are much more accessible from the experimental viewpoint. A related issue is that of the possibility of multimodal emission in a laser. It is common knowledge that in order to attain multimode emission it is necessary to have a sort of in homogeneity in the gain medium, because in a completely homogeneous configuration all modes interact with all atoms, and the arising competition among modes implies that only one of them survives. There are basically two main kinds of in homogeneity, the first is of spatial nature and the other is of spectral nature. The first kind is realized in Fabry–Perot lasers, because different cavity modes interact with atoms at different spatial positions in the cavity thanks to the standing-wave configuration of the field and to the consequent phenomenon of spatial hole- burning (see Section 14.2 and Fig. 14.1). This circumstance is capable of weakening the mode–mode competition and allowing multimode operation. In unidirectional ring lasers, on the other hand, there is an “inhomogeneous” configuration in the case of inhomogeneous broadening, because different groups of atoms have different transition frequencies and therefore interact with different modes thanks to the spectral hole-burning (see Section 15.2 and Fig. 15.3). Again, this weakens the mode–mode competition and allows multimode operation. However, these are qualitative considerations, and the only reliable and quantitative method to determine the possibility of multimodal operation is the linear-stability analysis of the single-mode stationary solutions.
We report the observation of an instability in a bistable optical system with a homogeneously broadened two-level medium involving the onset of the cavity side mode that is two modes away from the source frequency and three modes away from the molecular resonance frequency. These measurements extend the range of a recent report [Phys. Rev. A 39, 703 (1989)] of observations of the multimode instability in optical bistability predicted by Lugiato and Bonifacio [Lett. Nuovo Cimento 21, 505 (1978); 21, 510 (1978)], with the key difference being that the experimental observations in the previous report were limited to instabilities of the side mode adjacent to the source frequency.
A theory is presented that describes a series of bichromatic states of an ideal homogeneously broadened laser. These states are produced when the laser is pumped far above threshold so that the intracavity field is strong enough to overcome damping and produce Rabi oscillations of the atomic inversion. The two-frequency laser field is amplitude modulated at a frequency that may be either the Rabi frequency or a subharmonic of it. The theoretical predictions are compared qualitatively with recent experimental results.