由于两个紧密定位的球形夹杂物的存在而引起的发射体激发场增强的定量估计
Quantitative estimates for enhancement of the field excited by an emitter due to presence of two closely located spherical inclusions
摘要：
均匀介质中的场可以通过在介质中插入紧密定位的理想导电夹杂物来放大或增强。在本文中，这种增强的精确定量估计时，得到的给定的字段是一个激发的偶极子型的发射器和夹杂物是在三维中的相同半径的球体。导出的估计揭示了不同的，以及相似性，增强的领域激发的发射器和光滑的背基域。特别地，估计示出了当增强发生时，增强因子是$(\sqrtε|\log ε|)^{-1}$，其不同于平滑背景场的增强因子，平滑背景场的增强因子已知为$(ε|\log ε|)^{-1}$（$ε$是两个夹杂物之间的距离）。
英文摘要：
A field in a homogeneous medium can be amplified or enhanced by inserting closely located perfectly conducting inclusions into the medium. In this paper precise quantitative estimates for such enhancement are derived when the given field is the one excited by an emitter of a dipole type and inclusions are spheres of the same radii in three dimensions. Derived estimates reveal the difference, as well as the similarity, between enhancement of the field excited by the emitter and that of the smooth back-ground field. In particular, an estimate shows that when the enhancement occurs, the factor of enhancement is $(\sqrtε|\log ε|)^{-1}$, which is different from that for the smooth background field, which is known to be $(ε|\log ε|)^{-1}$ ($ε$ is the distance between two inclusions).
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