Analysis of ID Periodic Dielectric Structures Using a Hybrid Projection Method

摘要

A method is proposed for analysis of longitudinally inhomogeneous l D periodic dielectric structures located on a homogeneous magnetodielectric layer. According to the method, in the case of the E (H) polarization, the transverse electric (magnetic) field in the region containing the elements of the structure is expanded over transverse functions of Floquet harmonics with unknown variable coefficients. Projection of the Helmholtz equations for the aforementioned fields onto the transverse functions, application of the l D method of finite elements for the longitudinal coordinate, and use of projection matching of the fields on the boundaries of partial regions reduce the problem to numerically solvable systems of linear algebraic equations. The results of comparison demonstrating the efficiency of the method, the results of optimization of rectangular and triangular elements of a lossless dielectric structure designed for matching to free space, and the reflection coefficients for absorbing periodic structures based on recently developed wideband polyure-thane-foam materials with a superdispersed carbonic filler are presented and discussed.