Transverse Resonance Circuit Modeling and Hertzian Potential Formulation for Integrated Optical Waveguides

In this work we present a new efficient numerical simulator based on the concepts of transverse resonance and electromagnetic Hertzian potentials. The method includes the transverse resonance circuit modelling (TRCM) well suited with scalar time-domain Hertzian potential modelling (HPM). The transverse circuit provides the effective refractive indices related to the guided modes of an optical waveguide. The simultaneous implementation of the TRCM and HPM approaches provides an accurate time domain electromagnetic field solution for two-dimensional and three-dimensional optical waveguides.