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Progress in optics

V Fluctuations, Instabilities and Chaos in the Laser-Driven Nonlinear Ring Cavity

John C. Englund, Robert R. Snapp, William C. Schieve

Published Jan 1, 1984• 19 citations
Publisher
DOI
10.1016/s0079-6638(08)70125-2

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Dynamic instability and chaos are experimentally observed in the output field of an optical cavity consisting of three-level atoms near the condition of electromagnetically induced transparency (EIT). The observed dynamic instability and route to chaos can be well controlled by the coupling laser field, and are greatly enhanced by the modified absorption, dispersion, and nonlinearity due to induced atomic coherence in the three-level atomic EIT system. A theoretical model is developed to quantitatively explain the observed results.
Abstract Controlling dynamic behaviors, such as instability and chaos, in various systems has been a central matter of nonlinear physics in recent years. Here we employ an effective density-matrix method for the study of laser beam propagation through an optical ring cavity containing Landau-quantized graphene nanostructures. By taking into account the linear and nonlinear phase shifts, we detailedly investigate and characterize the nonlinear dynamic behaviors of the transmission field and the results show that the system exhibits dynamic instability. The start and termination, as well as the periodicity of this dynamic oscillations inside the optical cavity can be manipulated by the experimentally achievable parameters, such as the laser intensity and frequency detuning. Such dynamic responses are attributed to the competition between optical saturation of the incident field and population oscillations induced by the control field in graphene system.
Abstract The theoretical description of radiation − matter interactions in terms of master equations can be approximated by a semi-classical theory when quantum fluctuations are small. This approach, the exact definition of which will emerge later, has been enormously influential in understanding instabilities and chaos in quantum optics. Although much of the theory (and experiment) has been done only in the last few years, there were already indications in the early experiments on ruby lasers of ‘spiky’ behaviour. Instabilities are often due to competition between different modes which are coupled together non-linearly. Consequently we will first describe qualitatively the modes that are important when we deal with optical systems in Fabry-Perot or ring cavities.