Full vector analysis of two-dimensional angled and coated optical waveguide facets

We analyze the important problem of scattering from two-dimensional (2-D) optical waveguide facets, including the effects of both antireflection coatings and facet angle. The facet is allowed to be angled in both vertical and horizontal planes, necessitating a fully vectorial approach to model correctly the polarization coupling that occurs, To achieve this, the highly efficient Free Space Radiation Mode method has been extended to the general vector case, yielding novel expressions for both the reflectivity and the coupling coefficients which can be rapidly evaluated on a desktop PC for a wide variety of practical structures, Results are presented for both angled, coated and coated angled facets, Full field profiles, also available from the approach, are presented and provide useful design information and aids to understanding.