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Journal of the Optical Society of America B

Lamb-dip-like behavior in each spectral component of a spontaneously pulsing, single-mode, standing-wave gas laser

R. S. Gioggia, N. B. Abraham, Wulfhard K. Lange, M. F. H. Tarroja, J. C. Wesson

Published May 1, 1988• 5 citations
Publisher

Abstract

The optical spectra corresponding to complex intensity pulsation patterns near line-center tuning of single-mode, standing-wave gas lasers contain some simple indicators of the origins of their complexity. Heterodyne measurements show that on detuning of the laser the power density in each component of the optical spectrum undergoes a Lamb-dip-like reduction as it passes through resonance with the zero-velocity atoms. These observations help to explain the sensitive dependence of the dynamics of standing-wave gas lasers on detuning within the Lamp dip and distortions of the Lamb-dip shapes when the lasers are unstable.

DOI
10.1364/josab.5.000992

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Journal of the Optical Society of America B•May 1, 1988•0 citations
The optical spectra corresponding to complex intensity pulsation patterns near line-center tuning of single-mode, standing-wave gas lasers contain some simple indicators of the origins of their complexity. Heterodyne measurements show that on detuning of the laser the power density in each component of the optical spectrum undergoes a Lamb-dip-like reduction as it passes through resonance with the zero-velocity atoms. These observations help to explain the sensitive dependence of the dynamics of standing-wave gas lasers on detuning within the Lamp dip and distortions of the Lamb-dip shapes when the lasers are unstable.
When a tuned standing-wave gas laser operates on-resonance, neighboring frequencies experience gain in accordance with the Lamb dip. Bennett1 showed that it is possible for certain of these frequencies also to satisfy the phase-matching condition required by the dispersion relation. In such cases, gas lasers possess three possible steady states—one on-resonance state and two frequency-pushed ones. Bennett suggested that this effect could give rise to bistability and hysteresis in the frequency vs detuning characteristics.
The resonance condition is used to describe theoretically the three main kinds of standing waves with E\ensuremath{\perp}B (linear) and E?B (helicoidal and circular polarizations) that can be produced by the same laser and their nonlinear interaction with an atomic medium. It is shown that the saturation behavior of a single-mode gas laser is drastically modified by the nature of the operating standing wave. The predictions are checked experimentally with a laser from which each kind of standing wave can be generated with the same losses. The anisotropic structure of the saturation and in particular of the Lamb dip is isolated in each case. Very good agreement is observed between experiments and theory.
Self-pulsing of a single-mode laser has been studied with the use of the inhomogeneously broadened 3.51-\ensuremath{\mu}m transition in xenon. Time-averaged intensity power spectra, average power output, and real-time observations of intensity fluctuations have been recorded for various detunings of the Fabry-Perot cavity. Two forms of self-pulsing have been observed, both of which can be explained in terms of the phase locking of several frequencies which simultaneously exist in the same spatial mode, made possible by the rapid variations of the index of refraction in the high-gain medium. One form of such mode splitting occurs in the wings of the atomic response due to the variations in the inhomogeneously broadened anomalous dispersion. The second form can occur anywhere in the tuning range of the laser as it is caused by distortions induced in the dispersion by the hole-burning effects of the oscillating mode. The pulsation frequency of this induced mode splitting varies with cavity tuning, shows a dip at the atomic line center, and may be absent for detuning of one or two homogeneous linewidths away from center. The instabilities have shown subharmonic bifurcations of the pulsation frequencies. Both high-QQQ pulsation frequencies and broad bands of frequencies in the power spectra have been observed for various operating conditions.
Theoretical studies of standing and traveling wave lasers are presented. The spectral behavior of the amplified spontaneous emission (superradiance) in a pencil-shaped column is investigated theoretically and experimentally. Spectral narrowing followed by rebroadening has been observed as predicted by the theory. A geometrical representation of an interacting two-level atomic system has been developed and applied to an optical laser. A semi-classical model for a standing wave laser has been examined using the rotating wave approximation, and compared to the exact solution. Depth and width of the Lamb dip are determined theoretically and experimentally. The effect of radial profile of the laser field has been studied using the self-consistent-field approach, and the radius of the beam was measured at various positions from the window.
The structure of the Lamb dip may permit a standing-wave gas laser containing a saturable absorber (LSA) to exhibit frequency tristability while oscillating in a single spatial mode. This is concluded from the steady-state and stability analyses of a plane-wave gas-laser model in which the atomic populations are taken as homogeneous. Conditions for this behavior are investigated, and it is concluded that very high pump excitations are needed, which is in contrast to previously reported predictions of frequency multistability for LSA’s containing homogeneously broadened media.