周期性超材料的第一性原理均匀化理论
First-Principle Homogenization Theory for Periodic Metamaterials
摘要：
我们从第一原理推导出一个准确的均匀化描述的磁介质夹杂物制成的周期性超材料，突出和克服标准均匀化方法的相关限制。我们得到的有效本构参数的封闭形式的表达式，指出固有的空间色散效应的相关性，目前即使在长波长的限制。我们的研究结果澄清了准静态均匀化模型的局限性，恢复均匀化超材料参数的物理意义，并概述了磁电耦合效应背后的原因，也可能出现在中心对称夹杂物的情况下。
英文摘要：
We derive from first principles an accurate homogenized description of periodic metamaterials made of magnetodielectric inclusions, highlighting and overcoming relevant limitations of standard homogenization methods. We obtain closed-form expressions for the effective constitutive parameters, pointing out the relevance of inherent spatial dispersion effects, present even in the long-wavelength limit. Our results clarify the limitations of quasi-static homogenization models, restore the physical meaning of homogenized metamaterial parameters and outline the reasons behind magnetoelectric coupling effects that may arise also in the case of center-symmetric inclusions.
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