Koschny T, Markos P, Smith D R, Soukoulis C M
Research Center of Crete, 71110 Heraklion, Crete, Greece.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):065602. doi: 10.1103/PhysRevE.68.065602. Epub 2003 Dec 15.
We present a numerical study of the electromagnetic response of the metamaterial elements that are used to construct materials with negative refractive index. For an array of split ring resonators (SRR) we find that the resonant behavior of the effective magnetic permeability is accompanied by an antiresonant behavior of the effective permittivity. In addition, the imaginary parts of the effective permittivity and permeability are opposite in sign. We also observe an identical resonant versus antiresonant frequency dependence of the effective materials parameters for a periodic array of thin metallic wires with cuts placed periodically along the length of the wire, with roles of the permittivity and permeability reversed from the SRR case. We show in a simple manner that the finite unit cell size is responsible for the antiresonant behavior.
我们对用于构建具有负折射率材料的超材料元件的电磁响应进行了数值研究。对于裂环谐振器（SRR）阵列，我们发现有效磁导率的谐振行为伴随着有效介电常数的反谐振行为。此外，有效介电常数和磁导率的虚部符号相反。我们还观察到，对于沿金属丝长度周期性切割的细金属丝周期性阵列，有效材料参数的谐振与反谐振频率依赖性与SRR情况相反，介电常数和磁导率的作用发生了互换。我们以一种简单的方式表明，有限的单元尺寸是反谐振行为的原因。
