Modal Analysis of Semiconductor Lasers with Nonplanar Mirrors

Ahstruct-We preseni a formalism for analyzing laser resonators which possdss nonplanar mirrors and iateral waveguiding [e.g., an unstable resonator semiconductor laser (URSL)]. The electric field is expdnded iii lateral modes of the complex-iridex waveguide and is required to rbproduce itself after, one roundtrip of the cavity. We show how the waveguide modes, their gain and loss, and hence the criterion for truncation of the infinite. set of modes can be derived from the Green’s function of the, he-dimensional eigenvalue equation for the waiveguide. Examples are presented for three cases of interest,-a purely gain-guided URSL, an ihdex-guided URSL, and a gain-guided tiltedmirror resonator. We compare theoretical calculations to previous experiments.