Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients

Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients
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DOI:
10.1103/physrevb.65.195104
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发表时间:
2002-05-15
期刊:
影响因子:
3.7
通讯作者:
Soukoulis, CM
Soukoulis, CM
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Smith, DR;Schultz, S;Soukoulis, CM

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我们分析了有限长度电磁超材料的传输矩阵模拟计算的反射和透射系数,以确定有效介电常数(ε)和磁导率(μ)。我们进行这种分析的结构组成的周期性安排的电线,开口环谐振器(SRR),电线和SRR。我们发现,恢复的频率依赖性ε和μ是完全一致的有效介质参数预测的解析表达式。特别相关的是,线介质呈现出其中μ的真实的部分为负的频率区域,并且SRR产生其中μ的真实的部分为负的频率区域。在组合结构中,在频率处,恢复的真实的部分的折射率和μ是同时负的,折射率的真实的部分也被发现是明确的负。
We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lengths of electromagnetic metamaterials, to determine the effective permittivity (epsilon) and permeability (mu). We perform this analysis on structures composed of periodic arrangements of wires, split ring resonators (SRRs), and both wires and SRRs. We find the recovered frequency-dependent epsilon and mu are entirely consistent with analytic expressions predicted by effective medium arguments. Of particular relevance are that a wire medium exhibits a frequency region in which the real part of epsilon is negative, and SRRs produce a frequency region in which the real part of mu is negative. In the combination structure, at frequencies where both the recovered real parts of epsilon and mu are simultaneously negative, the real part of the index of refraction is also found to be unambiguously negative.