Precise estimates of the field excited by an emitter in presence of closely located inclusions of a bow-tie shape

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Kang, Hyeonbae^1,2  Yun, KiHyun³ 

[1] Inha Univ, Dept Math, Incheon 22212, South Korea

[2] Inha Univ, Inst Appl Math, Incheon 22212, South Korea

[3] Hankuk Univ Foreign Studies, Dept Math, Yongin 17035, Gyeonggi Do, South Korea

关键词: Field enhancement;    Gradient blow-up;    Bow-tie structure;    Emitter;    Corner singularity;    Perfect conductor;   

DOI  :  10.1016/j.jmaa.2019.07.018

来源: Elsevier

【 摘 要 】

This paper studies in a quantitatively precise manner the field enhancement due to presence of an emitter of the dipole type near the bow-tie structure of perfectly conducting inclusions in the two-dimensional space. We put special emphasis on field enhancement near vertices of the bow-tie structure, and derive upper and lower bounds of the gradient blow-up there. All three different kinds of symmetries are considered by varying locations and directions of the emitter, and a different estimate is derived for each case. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free