No abstract

No abstract

A new expansion set, layered geometry Green's functions, is introduced in the Multiple Multipole Program (MMP) contained in OpenMaX. It is shown that, with the new expansions, since the necessity of matching the boundary conditions in the layered geometry is eliminated, the complexity of the problems including layered geometries is decreased. Some hints for the derivation of the layered geometry Green's functions and for using them in the OpenMaX package are provided. The robustness and the efficiency of the new expansions are illustrated by various numerical examples, including layered geometries that support guided waves and surface plasmon polaritons (SPP).

No abstract

A novel approach to find the effective electric and magnetic parameters of finite periodic structures is proposed. The method uses the reflection coefficients at the interface between a homogenous half-space and the periodic structure of different thicknesses. The reflection data are then approximated by complex exponentials, from which one can deduce the wavenumber, and the effective electric and magnetic properties of the equivalent structure by a simple comparison to the geometrical series representation of the generalized reflection from a homogenous slab. Since the effective parameters are for the homogenous equivalent of the periodic structure, the results obtained are expected to be independent of the number of unit cells used in the longitudinal direction. Although the proposed method is quite versatile and applicable to any finite periodic structure, photonic crystals and metamaterials with metallic inclusions have been used to demonstrate the application of the method in this paper.