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

TL;DR

This paper provides precise quantitative estimates of electromagnetic field enhancement caused by a dipole emitter near bow-tie shaped perfect conductors, focusing on vertex regions and considering various symmetries.

Contribution

It introduces new bounds on field gradient blow-up near vertices of bow-tie inclusions, accounting for different emitter positions and orientations.

Findings

Derived upper and lower bounds for field gradient blow-up.

Analyzed effects of emitter position and orientation on field enhancement.

Provided detailed estimates for various symmetry configurations.

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.