volume | PIER Journals

Abstract

A 2D flat, 2D curved, and 3D finite element method (FEM) implementation of the spatially-variant lattice (SVL) algorithm is presented. This powerful algorithm is used in electromagnetics to preserve the electromagnetic properties and geometry of periodic structures that are bent, twisted, conformed, or otherwise spatially varied. Applications of the SVL algorithm include photonic crystals, metamaterials, conformal frequency selective surfaces, cloaking devices, and volumetric circuits over complex geometries. The present work shows examples of SVLs over a planar surface lattice, a doubly-curved surface lattice, and a volumetric lattice.

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Dr. Edgar Bustamante

Professor Raymond C. Rumpf