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For a fully chaotic two-dimensional (2D) microcavity laser, we present atheory that guarantees both the existence of a stable single-mode lasing stateand the nonexistence of a stable multimode lasing state, under the assumptionsthat the cavity size is much larger than the wavelength and the externalpumping power is sufficiently large. It is theoretically shown that theseuniversal spectral characteristics arise from the synergistic effect of twodifferent kinds of nonlinearities: deformation of the cavity shape and modeinteraction due to a lasing medium. Our theory is based on the linear stabilityanalysis of stationary states for the Maxwell-Bloch equations and accounts forsingle-mode lasing phenomena observed in real and numerical experiments offully chaotic 2D microcavity lasers.

Universal single-mode lasing in fully chaotic two-dimensional microcavity lasers under continuous-wave operation with large pumping power