Frequency dependence of the magnetic response of split-ring resonators
Frequency dependence of the magnetic response of split-ring resonators
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DOI：
10.1117/12.681495
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发表时间：
2006-08
期刊：
影响因子：
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通讯作者：
A. Ishikawa;Takuo Tanaka;S. Kawata
中科院分区：
文献类型：
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作者：
A. Ishikawa;Takuo Tanaka;S. Kawata
通过对开环谐振器从太赫兹到可见光区域的磁特性的理论研究，提出了实现负磁性超材料的开环谐振器的设计原理。为了描述金属在整个频率范围内的频率色散，我们考虑了内阻抗公式的精确表达式。该公式不仅能描述金属在光频区的导电特性，而且能描述金属的介电行为。在此基础上，我们成功地测定了金属的色散特性所表征的从THz到可见光区域的SRR的磁响应。我们的结果表明，在100太赫兹的跃迁频率下，设计原则应该有很大的改变。在100THz以下，由于SRR的电阻决定了磁响应，因此低电阻结构是必不可少的。另一方面，在100THz以上，由于几何电感的减小主要降低了磁响应，因此应设计保持较大几何电感的开关磁阻结构。从磁响应饱和的角度讨论了负磁导率SRR工作频率的理论极限。
The design principle of split-ring resonators (SRRs) for realizing the negative magnetic metamaterial is proposed through the theoretical investigation of magnetic properties of the SRRs from THz to the visible light region. To describe the frequency dispersion of metal throughout the frequency range, we consider the exact expression of the internal impedance formula. This formula can describe not only the conduction characteristics but also the dielectric behavior of metal in the optical frequency region. Based on this investigation, we successfully determine the magnetic responses of the SRRs, which are characterized by the metal's dispersive properties, from THz to the visible light region. Our results indicate that the design principle should be changed considerably at the transition frequency of 100 THz. Below 100THz, since the resistance of the SRRs determines the magnetic responses, the low resistance structures are essential. On the other hand, above 100THz region, because the decrease of the geometrical inductance dominantly reduces the magnetic responses, we should design the SRRs' structures maintaining large geometrical inductance. The theoretical limitation of the SRR's operating frequency with a negative permeability is also discussed from the viewpoint of the saturation of the magnetic response.