Multiscale Simulation of 2-D Photonic Crystal Structures Using a Contour Integral Method

This paper presents a multiscale method for the numerically efficient electromagnetic analysis of two-dimensional (2-D) photonic and electromagnetic crystals. It is based on a contour integral method and a segmented analysis of more complex structures in terms of building blocks which are models for essential components. The scattering properties of essential photonic crystal components, such as waveguide sections, bends, and junctions, can be expressed independent of the electromagnetic wave launch parts which are used for the excitation by de-embedding of the network parameters. To enable this, the launch properties are extracted by a calibration technique using several calibration standards analog to a measurement. The de-embedding can be applied both to the proposed integral method and to the reference results from other full-wave methods. The extracted scattering parameters of the components can be used in a multiscale analysis for the efficient simulation of very large 2-D photonic and microwave structures with circular inclusions as the concatenation is performed only in terms of the network parameters. The proposed approach is about one to two orders of magnitude faster than the conventional unsegmented analysis with the contour integral method and several orders of magnitude faster than the full-wave reference method.