Abstract
We determine the conditions under which the global rate equations lead to an antiphase theorem for a laser oscillating on N modes. The global rate equations are N integro-differential equations for the modal intensities coupled to a single differential equation for the space-dependent population inversion. The antiphase theorem states that the total lasing intensity is characterized by a single relaxation oscillation frequency. It holds in the limit of frequency-independent linear gain and loss of the oscillating modes. Additional constraints apply, depending on the nature of the pumping. A quantitative formulation of these conditions is derived.
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