Nonlinear dynamics of an optically pumped laser with pump polarization modulation:stabilization of unstable steady states (original) (raw)
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Physical Review A, 2000
We have theoretically explored the behavior of a coherently pumped JЉϭ1→Jϭ0→JЈϭ1 isotropic cavity laser and compared it with the behavior of other related laser systems involving atomic or molecular levels with angular quantum numbers 0 and 1. It is shown that at low and moderate pumping strengths it behaves very differently from the JЉϭ0→Jϭ1→JЈϭ0 laser exhibiting no pump-induced gain anisotropy and allowing for linearly polarized ͑LP͒ solutions with arbitrary azimuth and circularly polarized ͑CP͒ solutions, depending on the values of the molecular relaxation rates. Above the instability threshold, a variety of dynamic regimes involving the polarization degree of freedom can be found, including LP states with rotating azimuth ͑as in incoherently pumped Jϭ0→JЈϭ1 or Jϭ1→JЈϭ0 lasers͒, antiphase dynamics, and full polarization chaos.
Influence of light polarization on the dynamics of optically pumped lasers
Physical Review A, 1990
The dynamic behavior of a coherently pumped ring laser with a homogeneously broadened four-level medium is analyzed theoretically, considering linearly polarized pump and generated laser beams. The laser is shown to be much more stable when these polarizations are parallel than when they are orthogonal. In the latter case the instability pump threshold can be as low as four times the first laser threshold, and the laser dynamics shows Lorenz-type features. Recent experimental studies of self-pulsing in an optically pumped FIR single-mode ammonia laser showed for the first time Lorenz-like behavior in the real world. ' The theoretical interpretation of these results raises conceptual difficulties, however, since the FIR laser experiments are a priori more complicated than the simple twolevel homogeneously broadened medium interacting with a single mode of a unidirectional ring cavity, which is considered in the Lorenz-Haken model. Recently, we have shown that a more appropriate Doppler-broadened threelevel laser model can explain the appearance of Lorenzlike dynamics in an optically-pumped
Dynamics of coherently pumped lasers with linearly polarized pump and generated fields
Physical Review A, 1993
The inhuence of light polarization on the dynamics of an optically pumped single-mode laser with a homogeneously broadened four-level medium is theoretically investigated in detail. Pump and laser fields with either parallel or crossed linear polarizations are considered, as are typical in far-infraredlaser experiments. Numerical simulations reveal dramatically different dynamic behaviors for these two polarization configurations. The analysis of the model equations allows us to find the physical origin of both behaviors. In particular, the crossed-polarization configuration is shown to be effective in decoupling the pump and laser fields, thus allowing for the appearance of Lorenz-type dynamics. PACS number(s): 42.60.Mi, 42.50.Lc, 42.55.f
Full polarization chaos in a pump-polarization modulated isotropic cavity laser
Optics Letters, 1995
We study the dynamic behavior of an optically pumped J 0 ! J 1 ! J 0 laser operating with an isotropic ring cavity and a linearly polarized pump f ield whose direction of polarization is modulated by the sinusoidal law u͑t͒ m sin Vt. Modulation frequencies V of the same order of magnitude as the transverse relaxation rate of the laser transition are considered here. At large enough modulation amplitudes, and for a detuned cavity, we obtain fully developed polarization chaos, which affects both the ellipticity and the orientation of the polarization ellipse as well as the laser intensity.
The dynamics of optically pumped molecular lasers. On its relation with the Lorenz-Haken model
Quantum and Semiclassical Optics, 1997
In this paper we review the work on dynamical instabilities in optically pumped molecular lasers (OPLs) that has been carried out during the last 15 years. The main purpose of this review article is to survey and extend the authors' work on optically pumped molecular lasers and to place it in context with other research done in this area, without being a comprehensive review of all previous work done on this topic. In particular, we concentrate on the theoretical interpretation of the Lorenz dynamics observed in the far-infrared ammonia laser by reviewing the results obtained with different models of OPLs. New results corresponding to the dynamics obtained with the Doppler-broadened OPL model are also given. In particular the influence of pump detuning is considered and we also provide a characterization of the chaotic dynamics that definitively clarifies its Lorenz character. Finally a critical account of the present understanding of the far-infrared ammonia laser experiments is given.
Polarization switching in an anisotropic cavity coherently pumped J=1→J^{′}=0 laser
Physical Review A, 1997
We show that, in an optically pumped resonant Jϭ1→JЈϭ0 laser, a gain anisotropy is induced by a linearly polarized coherent pump beam that can be balanced or countered by x-y cavity-loss anisotropies, leading to switching between the x and y linearly polarized states of the generated laser field as the laser intensity is increased. This switching is not brought about by selection of the mode with the maximum emission intensity. A domain of bistability between the two linearly polarized states is found, whose width depends on the value of the decay rate of the two photon coherence induced among the sublevels of the Jϭ1 level manifold. Differently from the incoherently pumped Jϭ1→JЈϭ0 laser, the decay rate for the magnetic dipole in that manifold has no influence on the polarization of the emission.
Chapter 9. Chaotic dynamics of the vibronic laser
Recent Achievements in Laser Dynamics: Control and Synchronization , 2008
Herewith we present the nonlinear dynamics of a very interesting group of lasers, e.g. vibronic lasers, where due to the pump-dependent population of the lattice phonons, the photon energy of the pump serves as the control parameter. Experimental results and the theoretical predictions are compared for the particular case of the alexandrite laser. We discuss its rich dynamics including homoclinic chaos, small-scale chaos and crisis, the possibility of modulation control, the cavity length control and the optical feedback scheme of chaos control.
Chaotic dynamics of an optically pumped NH_3 multitransverse-mode ring laser
Journal of the Optical Society of America B, 1996
We have experimentally studied the dynamics of an optically pumped NH 3 multitransverse-mode ring laser. We show that, because of the nonlinear interaction of transverse modes, the laser intensity output can be periodic, quasi-periodic, or chaotic. Depending on which transverse modes were involved in the interaction, two kinds of routes to chaos were observed in the laser. When four transverse modes interact, quasi-periodic chaos is found, whereas in the case when just two transverse modes with small frequency separation interact a period-doubling route to chaos at the mode beat frequency is observed. Metric properties of observed chaotic attractors were calculated.