Homogenization Based Fast Computation of Electromagnetic Scattering by Inhomogeneous Objects with Honeycomb Structures

Abstract

In this paper, we present solutions of scattering from inhomogeneous objects with honeycomb structures using a homogenization based fast computation method. In this method, the effective permittivity and permeability of the cellular materials are first derived with the HS theory which are expressed as diagonal tensors. Then the Euler angels are introduced to describe the orientation of a honeycomb structure, transforming the diagonal tensors into a general 3$\times $3 tensors. At last, the homogenized honeycombs together with other structures are integrated and computed using the nonconformal domain decomposition hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). Numerical examples are given to demonstrate the accuracy, capability and performance of the proposed algorithm, including the scattering by typical sandwich panels with honeycomb cores.