Ray-Tracing Model For Elliptical Half-Geodesic Lens Antennas

This paper presents a ray-tracing based approach to determine the radiation pattern of geodesic lens antennas with a central mirror plane. The addition of the mirror plane effectively reduces the $xy -$plane of the lens by 50% from the original rotationally symmetric case. The example considered in this paper has also been compressed along the $y -$axis by a factor of 0.7, offering a further reduction in lens size. The performance of the ray-tracing approach has been verified with full-wave simulation, with excellent agreement between the two. Our ray-tracing approach runs significantly faster than commercial software.