Generalized Ray-tracing Model for Modified Geodesic Luneburg Lens Antennas

In this paper, we present an accurate and efficient ray-tracing model for calculating the radiation pattern of rotationally symmetric geodesic lenses. The performance of the ray-tracing model is compared to full-wave simulations, CST and HFSS, through the radiation patterns of a modified geodesic Luneburg lens antenna. The modified geodesic Luneburg lens profile has two parts, one is the original geodesic curve using geometrical optics, and one is a transition for reducing reflections. The radiation pattern from the ray-tracing model has a good agreement with the results from the full-wave simulations. However, the ray-tracing is significantly faster than the full-wave simulators.