Generalized Full-Vector Multi-Mode Matching Analysis of   Whispering-Gallery Microcavities
  We outline a full-vectorial three-dimensional multi-mode matching technique in a cylindrical coordinate system that addresses the mutual coupling among multiple modes copropagating in a perturbed whispering-gallery-mode microcavity. In addition to its superior accuracy in respect to our previously implemented single-mode matching technique, this current technique is suitable for modelling waveguide-to-cavity coupling where the influence of multi-mode coupling is non-negligible. Using this methodology, a robust scheme for hybrid integration of a microcavity onto a silicon-on-insulator platform is proposed. 
Xuan Du, Serge Vincent, Mathieu Faucher, Marie-Josee Picard and Tao Lu
physics.optics