Rib waveguide analysis by theimaginary-distance vectorialbeam-propagation method based on Yee's mesh

The effective index and the mode profile of rib waveguides are calculated using the vectorial beam-propagation method using the imaginary-distance procedure. Yee's mesh originally developed in the finite-difference time-domain method is employed to discretize a waveguide geometry. The refractive index at the interface between two different media is determined by Ampere's circuital law. The field discontinuities at the interface and singularities at the corners of the waveguide are clearly displayed.