Efficient Analysis Technique for Modeling Periodic Structures Based on Finite Element Method using High-Order Multiscalets Functions

摘要

Periodic structures have a variety of important applications in electromagnetic engineering and modern technologies. Commonly used, periodic structures include frequency selective surfaces, optical gratings, phased array antennas and various metamaterials. A three-dimensional finite element method (FEM) with efficient boundaries conditions is presented to simulate the electromagnetic properties of homogeneous periodic material. In our approach, we describe an accurate and efficient numerical analysis based on high-order multiscalets applied in vector edge FEM using new reduction meshing technique (MSRM-FEM) to characterize the electromagnetic properties of periodic structures. Here, we have achieved a factor of 4 in memory reduction and 7?11 in CPU speedup over the typical meshing. The FEM is applied to solve Maxwell’s equation in the unit cell. The Floquet’s theorem is used to take into account the periodicity of the boundaries conditions radiation for the unit cell. The numerical results are compared to published data and other simulation results. Good agreement is important to establish the validity and usefulness of the (MSRM-FEM) method given in this paper.