Interplay between the ray and mode effects in electromagnetic behavior of small-size hemielliptic dielectric lenses

TL;DR

This paper investigates how internal reflections and modal effects influence the focusing and resonance behavior of small hemielliptic dielectric lenses, using numerical methods validated against exact solutions.

Contribution

It introduces and compares numerical algorithms combining geometrical optics, physical optics, and FDTD for analyzing dielectric lens behavior, assessing their accuracy and applicability.

Findings

Algorithms accurately model optical and modal effects.

Internal reflections significantly affect lens radiation characteristics.

Validation against exact solutions confirms method reliability.

Abstract

Focusing and resonance properties of two-dimensional small-size hemielliptic lenses made of different materials are studied numerically in order to estimate the influence of internal reflections on the radiation characteristics of dielectric lens antennas. Accuracy of in-house made algorithms based on combination of geometrical and physical optics and FDTD in the analysis of optical and modal effects in the behavior of such lenses is tested by comparison with the exact solution obtained using the Muller boundary integral equations. The range of applicability for the approaches is discussed.