THEORETICAL-ANALYSIS OF A BIMODE LASER

We study analytically the dynamical behaviors of class A and B lasers operating on two transverse modes. A generalization of the well-known multimode model of Lamb, taking into account the transverse hole burni ng effects as well as nonlinear phase couplings, is considered. Taking as a control parameter the difference between the empty cavity eigenf requency of the modes, the main developments of this article are the f ollowing. The existence and stability of stationary patterns related t o (i) single-mode stationary states and (ii) locked bimode phase-sensi tive solutions are analyzed. (iii) Unlocked periodic behavior and freq uency pushing or pulling effects are characterized in a fully analytic al description. Our analysis puts in evidence the qualitative differen ces of stationary as well as periodic behaviors for class A and B bimo dal lasers. Moreover, we show that the laser response is strongly depe ndent on the symmetry properties, or on the relative spatial parity, o f the modes involved: The dynamical properties of opposite or equal pa rity modes laser are introduced and investigated here. [S1050-2947(98) 06401-4].