Numerical Study on the Chaotic Dynamics in the Array of Coupled Lasers with Frequency Modulation

The chaotic dynamics in the array of two coupled solid-state lasers with one laser frequency-modulated is numerically studied. By analyzing the spectrum of the cosine of the phase difference between two lasers, the chaotic dynamics of the array are discussed in detail. It is found that the spectrum component, with the frequency smaller than but closest to the relaxation oscillation frequency, plays an important role in the chaotic dynamics of the array. The results indicate that chaos is more likely to happen with lower modulation frequency. The effects of the parameters of the array on the chaotic dynamics are also studied. It is found that the pump coefficient has a non monotonic effect on the chaotic dynamics, and the stationary detuning difference can enhance the chaotic dynamics of the array. The results also imply that the chaotic dynamics can also be enhanced by increasing the coupling strength or reducing the length of laser cavity.