论文标题
中性夹杂物，弱中性夹杂物和共聚焦椭圆形的过度确定问题
Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids
论文作者
论文摘要
如果插入均匀场的同质培养基中，则包含在均匀的场上是中性的，它根本不会扰动均匀的场。据说如果它温和地呈均匀的场，它是弱中性的。这种夹杂物在与隐形披肩和有效的媒介理论有关。最近有一些尝试以核心壳结构的形式构建或显示这种包含物的存在，或者具有与其边界上附加不完美的键合参数的单个包含。本文的目的是回顾此类尝试的最新进展。我们还讨论了共聚焦椭圆形的过度确定问题，该问题与中性包容密切相关，以及其在牛顿电位方面的等效表述。本文的主体包括对已知结果的评论，但还包括一些新的结果。
An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be weakly neutral if it perturbs the uniform field mildly. Such inclusions are of interest in relation to invisibility cloaking and effective medium theory. There have been some attempts lately to construct or to show existence of such inclusions in the form of core-shell structure or a single inclusion with the imperfect bonding parameter attached to its boundary. The purpose of this paper is to review recent progress in such attempts. We also discuss about the over-determined problem for confocal ellipsoids which is closely related with the neutral inclusion, and its equivalent formulation in terms of Newtonian potentials. The main body of this paper consists of reviews on known results, but some new results are also included.
