Exact off-resonance near fields of small-size extended hemielliptic 2-D lenses illuminated by plane waves

TL;DR

This paper provides a precise numerical analysis of the near fields of small hemielliptic lenses made of rexolite and quartz, considering finite size and curvature, useful for antenna design.

Contribution

It introduces a highly accurate numerical method combining boundary integral equations, regularization, and Galerkin discretization for analyzing small hemielliptic lenses.

Findings

Variations in focal domain with incident angle are characterized.

The method offers reference solutions for electromagnetic simulations.

Results can inform the design of antenna receivers.

Abstract

The near fields of small-size extended hemielliptic lenses made of rexolite and isotropic quartz and illuminated by E- and H-polarized plane waves are studied. Variations in the focal domain size, shape, and location are presented versus the angle of incidence of the incoming wave. The problem is solved numerically in a two-dimensional formulation. The accuracy of results is guaranteed by using a highly efficient numerical algorithm based on the combination of the Muller boundary integral equations, the method of analytical regularization, and the trigonometric Galerkin discretization scheme. The analysis fully accounts for the finite size of the lens as well as its curvature and thus can be considered as a reference solution for other electromagnetic solvers. Moreover, the trusted description of the focusing ability of a finite-size hemielliptic lens can be useful in the design of antenna receivers.