Optical injection into a semiconductor laser is a promising technique for generating optical microwave oscillations and chaotic signals as well as enhancing the characteristics of the injected laser. Conventionally the dynamic state of the output of the slave laser (SL) is mapped in the parameter plane of frequency detuning between the master laser (ML) and the SL, and that of the injected power. These can be generated using methods such as the Correlation Dimension Analysis (CDA) [1] to analyse the time series of the output of the SL.However such techniques often incur a notable computational cost and only partly characterise the features of the dynamics. Moreover the processing of experimental data found in the literature usually focuses on where periodic or chaotic dynamics can be found [2] while most of the main signal features are either discarded or not fully mapped [3]. In this work we propose a novel approach for the analysis of the time series of a semiconductor laser under optical injection based on the use of a combination of basic data analysis techniques. Using these we produce a richer representation of the experimental stability maps which provides new and useful insight into the characteristics of the non-linear dynamics, and present the first experimental mapping, to our knowledge, of the frequency of period one (PI) dynamics.The experimental setup is a variation of the one presented in [2] that includes an Agilent DSA9I304A I3GHz real-time oscilloscope. Light from a 1550 nm tuneable laser (ML) is injected into a 1550 nm vertical cavity surface-emitting laser (SL). The SL exhibits two modes separated in wavelength by approximately 0.5 nm corresponding to the two orthogonal polarisations of the single transverse mode of the device. In the experiment the polarisation of the ML is set to match that of the subsidiary mode of the SL. The output of the SL is recorded using an Ando AQ63I7 optical spectrum analyser and the real-time oscilloscope. A polarisation beamsplitter is placed before the latter so that both polarisations can be recorded simultaneously but separately.
Using both the AC and DC signal components of the time series of both polarisations we identifY the regionswhere the SL is in its solitary state, is locked to the ML or exhibits nonlinear dynamics whose signal-to-noise ratio (SNR) and modulation depth can be estimated. Fourier transforms of the time series where oscillations are found allow classification of the nonlinear dynamics even for signals with low SNRlmodulation depth as well as identification of the main frequency of oscillation. The analysis of the local extrema of the time series indicates how periodic and stable induced microwave oscillations are in time. This also discriminates stable PI oscillations, characterised by a low spreading of the local maxima and as well as of the local minima, from unstable oscillation or any other type of nonlinear dynamics (higher spreading). Fig. 1 shows a series of the maps created using this new time series analysis. Fig la) shows the am...