A Unique Extraction of Metamaterial Parameters Based on Kramers-Kronig Relationship
A Unique Extraction of Metamaterial Parameters Based on Kramers-Kronig Relationship
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DOI：
10.1109/tmtt.2010.2065310
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发表时间：
2010-10-01
影响因子：
4.3
通讯作者：
Li, Er-Ping
中科院分区：
文献类型：
--
作者：
Szabo, Zsolt;Park, Gi-Ho;Li, Er-Ping
本文提出了一种提取超材料有效本构参数的改进算法。该过程调用Kramers-Kronig关系以确保解决方案的唯一性。通过对均质板有效材料参数的检索，验证了该方法的准确性。本研究揭示了在何种条件下折射率的计算涉及复对数函数的多个分支。然后研究了一种由导线和分裂环谐振器组成的超材料。通过观察超材料板的有效参数随厚度的增加而收敛的情况，探讨了该算法的适用性和局限性。
In this paper, an improved algorithm for extracting the effective constitutive parameters of a metamaterial is derived. The procedure invokes the Kramers-Kronig relations to ensure the uniqueness of the solution. The accuracy of the method is demonstrated by retrieving the effective material parameters of a homogeneous slab. This study reveals under which conditions the calculation of the refractive index involves more than one branch of the complex logarithmic function. A metamaterial built up from wires and split-ring resonators is then investigated. The applicability and limits of the presented algorithm are explored by observing how the effective parameters of a metamaterial slab converge as its thickness is increased.