Abstract
Nonlinear lasers are excellent systems from which to obtain high signal-to-noise experimental data of nonlinear dynamical variables to be used to develop and demonstrate robust nonlinear dynamics analysis techniques. Here we investigate the dynamical complexity of such a system: an optically injected Nd:YVO(4) solid state laser. We show that a map of the correlation dimension as a function of the injection strength and frequency detuning, extracted from the laser output power time-series data, is an excellent mirror of the dynamics map generated from a theoretical model of the system. An automated computational protocol has been designed and implemented to achieve this. The correlation dimension map is also contrasted with prior research that mapped the peak intensity of the output power as an experimentally accessible measurand reflecting the dynamical state of the system [Valling et al., Phys. Rev. A 72, 033810 (2005)].
Highlights
Complex instabilities and dynamics are common in many different laser systems
There have been many other techniques suggested, see for example [34, 35], none have been shown to perform significantly better than others and all give values of similar magnitude [23]
An automated computation process was developed to generate a dynamic map of the correlation dimension of the output power time series from an optically injected Nd:YVO4 solid state laser with varying injection strength and frequency detuning
Summary
Complex instabilities and dynamics are common in many different laser systems. CO2 lasers show self pulsing and deterministic chaos when the laser is subject to feedback [1]. Semiconductor lasers can display complex, nonlinear dynamics when subject to direct current modulation [3], optical feedback [4], strong optical injection from a master laser [5], optoelectronic feedback [6] or a hybrid combination of these [7, 8]. In many instances a perturbation such as feedback or injection, which may cause complex dynamics for some parameter values, can be used to stabilize the laser with different sets of values [9, 10]
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