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

Hyeonbae Kang; KiHyun Yun

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arXiv · 1810.08945

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

Hyeonbae Kang·KiHyun Yun

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Abstract

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.

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Hyeonbae Kang, KiHyun Yun. 2018-10-21. Precise estimates of the field excited by an emitter in presence of closely located inclusions of a bow-tie shape. https://arxiv.org/abs/1810.08945

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