Stochastic coupled mode theory for partially coherent laser arrays

Partially coherent, transversely coupled laser arrays are investigated within a stochastic coupled mode formalism. Predictions of the coherence or correlation functions in both the spectral and time domains are made. It is demonstrated that the coherence properties of the system in both domains are strongly dependent on the number and intensity of coupled modes. The theory can be useful for the study of semiconductor laser arrays, particularly vertical-cavity surface-emitting laser arrays.