Novel Time-Domain Circuit Modelling of chi((2)) Nonlinear Process in Periodic Optical Waveguide

In this work we present a new time domain modelling approach of chi((2)) nonlinear processes in periodic slab waveguides and cavities. This method exploits the Hertzian Potential Modelling (HPM) to design discontinuous dielectric interfaces. It is based on a circuital approach which considers the time-domain nonlinear wave propagation in transmission lines coupled with voltage and current generators. These generators are placed directly on the interface nodes thus optimizing the numerical error of the temporal second derivatives at the dielectric boundaries, and providing an accurate characterization of the nonlinear processes in integrated optics.