Floquet's design and circuit modelling of discontinuous planar waveguides at high frequencies

We present an accurate theoretical approach in view to design discontinuous optical waveguides at high frequencies. The model is based on the Floquet's theory and on the variational equivalent circuit. The distributed circuit model is developed through the use of the microwave network theory and the optical theory of the step discontinuities. This accurate approach considers dielectric periodic structures with high dielectric contrast and the transmission line model applied to guided modes of a discontinuous slab waveguide. The method is applicable to microwave and optical planar waveguides.