色散超材料介质中的功率损耗和电磁能量密度
Power loss and electromagnetic energy density in a dispersive metamaterial medium
摘要：
研究了由金属丝阵列和开口环谐振器（SRR）组成的超材料的功率损耗和电磁能量密度。我们表明，一个字段能量密度公式可以一致地从电动（ED）的方法和等效电路（EC）的方法。推导是基于介质中电偶极子和磁偶极子的动力学方程和功率损耗的正确形式的知识。我们讨论了功率损耗在确定能量密度的形式中的作用，并解释了为什么功率损耗应首先在ED推导中确定。当功率损耗可忽略且场为简谐场时，我们的能量密度公式退化为朗道经典公式的结果。对于有限功率损耗的一般情况下，我们的调查解决了EC和ED方法得出的先前结果之间的明显矛盾。
英文摘要：
The power loss and electromagnetic energy density of a metamaterial consisting of arrays of wires and split-ring resonators (SRRs) are investigated. We show that a field energy density formula can be derived consistently from both the electrodynamic (ED) approach and the equivalent circuit (EC) approach. The derivations are based on the knowledge of the dynamical equations of the electric and magnetic dipoles in the medium and the correct form of the power loss. We discuss the role of power loss in determining the form of energy density and explain why the power loss should be identified first in the ED derivation. When the power loss is negligible and the field is harmonic, our energy density formula reduces to the result of Landau's classical formula. For the general case with finite power loss, our investigation resolves the apparent contradiction between the previous results derived by the EC and ED approaches.
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