Abstract
The operation of the interband magnetooptical semiconductor laser has been realized by two techniques, viz., injection and optical pumping. This paper considers the theory of the electro-magnetic modes and threshold conditions which can be applied to either of these configurations. In addition, the bulk magnetooptical laser, which can in principle be realized by electronbeam pumping, is also considered. Because of the mode-coupling due to the magnetic field, neither TE nor TM modes alone are adequate to describe the electro-magnetic wave propagating in the laser. Moreover, an exact solution of the complete boundary value problem is not feasible. However, we have derived an expression for the propagation constant by using a linear combination of the TE and TM modes given at zero field in a perturbation theory. This expression is in terms of the propagation constants of the unperturbed TE and TM modes and the perturbation of the conductivity tensor due to the magnetic field.

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