Three-Dimensional Bi-Functional Lens Based on Conformal Mapping

In this work, we present a hemi-ellipsoidal bi-functional lens based on the technique of conformal mapping. When the feed is placed between two foci, the lens can be considered as a deflecting lens, which guides the waves to propagate to a deflecting angle; when the feed is placed on the long axis but outside the foci, the waves are guided along a U-shaped path and the lens can be considered as a U-shaped waveguide bend. We first design such a bi-functional lens based on conformal mapping and then rotate the lens around the central axis, hence we obtain a three-dimensional bi-functional lens. Ray tracing and full-wave simulation results verify the performance of the designed lens.