Semiclassical theory of coupled lasers

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Abstract
The semiclassical equations of motion for a system of coupled lasers are developed and the frequency locking of the lasers comprising the system is analyzed. It is shown that the frequency-coupling range, in terms of the coupled cavities’ mismatch, is proportional to the coupling coefficient. For a system where the cavities are uniformally filled with the active medium, the coupling vanishes regardless of the transmittance of the coupling mirrors. Our theory is valid for all values of coupling and for any number of lasers in the array. It may also be adapted to study different types of coupling arrangements.