Quantitative estimates for enhancement of the field excited by an emitter due to presence of two closely located spherical inclusions

  • Kang, Hyeonbae
  • Yun, KiHyun
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초록

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 which is different from that for the smooth background field, which is known to be is the distance between two inclusions). (c) 2020 Elsevier Inc. All rights reserved.

키워드

Field enhancementEmitterSpherical inclusionsClosely located inclusionsConductivity equationELECTRIC-FIELDSEQUATION
제목
Quantitative estimates for enhancement of the field excited by an emitter due to presence of two closely located spherical inclusions
저자
Kang, HyeonbaeYun, KiHyun
DOI
10.1016/j.jde.2020.02.018
발행일
2020-08-05
유형
Article
저널명
Journal of Differential Equations
269
4
페이지
2977 ~ 3002