Direct calculation of permeability and permittivity for a left-handed metamaterial

作者：David R. Smith, David C. Vier, Norman M. Kroll, Sheldon Schultz · 发表于：Applied Physics Letters · 年份：2000 · DOI：10.1063/1.1314884 · 被引用次数：264 · 研究领域：Metamaterials and Metasurfaces Applications、Topological Materials and Phenomena、Plasmonic and Surface Plasmon Research

Recently, an electromagnetic metamaterial was fabricated and demonstrated to exhibit a “left-handed” (LH) propagation band at microwave frequencies. A LH metamaterial is one characterized by material constants—the permeability and permittivity—which are simultaneously negative, a situation never observed in naturally occurring materials or composites. While the presence of the propagation band was shown to be an inherent demonstration of left handedness, actual numerical values for the material constants were not obtained. In the present work, using appropriate averages to define the macroscopic fields, we extract quantitative values for the effective permeability and permittivity from finite-difference simulations using three different approaches.