空间色散介质四极响应Lorentz互易定理和Poynting定理的推广
Extension of Lorentz Reciprocity and Poynting Theorems for Spatially Dispersive Media with Quadrupolar Responses
摘要：
我们提供了一个自洽的扩展的洛伦兹互易定理和坡印亭定理的介质具有电和磁的偶极和四极响应与电场和磁场和场梯度。利用这两个定理，我们分别推导出适用于介导这些多极矩和相关的场和场梯度的相互作用的各种张量的互易性和无所得和无损失的条件。我们预计，这些条件将发挥重要作用，在发展先进的超材料建模技术，包括四极和空间色散响应。
英文摘要：
We provide a self-consistent extension of the Lorentz reciprocity theorem and the Poynting theorem for media possessing electric and magnetic dipolar and quadrupolar responses related to electric and magnetic fields and field gradients. Using these two theorems, we respectively deduce the conditions of reciprocity and gainlessness and losslessness that apply to the various tensors mediating the interactions of these multipole moments and the associated fields and field gradients. We expect that these conditions will play an essential role in developing advanced metamaterial modeling techniques that include quadrupolar and spatially dispersive responses.
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