Coupled Mode Theory Based Modeling and Analysis of Circular Optical Microresonators

In this thesis, we restrict ourself to two dimensional settings. While for specic congurations one could regard the present two dimensional model as an approximate description of realistic devices in terms of effective indices, in other cases simulations in three spatial dimensions are certainly necessary, e.g. for vertically coupled resonators. Therefore our model is formulated such that an extension to three dimensions is straightforward. We treat the circular microcavities as traveling wave resonators in the framework of a pure frequency domain description