2-D analysis and synthesis of dielectric lens antennas with boundary integral equations

At first, we study the electromagnetic performance of 2-D models of hemielliptic dielectric lens antennas (DLAs) with the aid of an advanced numerical algorithm. It is based on the Muller boundary integral equations (MBIE) discretized with the trigonometric Galerkin scheme. Then this solver, combined with an in-house genetic-type optimizer, is applied to the synthesis of the lens profile aimed at the improvement of the lens off-axis radiation properties. The results obtained highlight the interplay between the focusing and resonance mechanisms in the behaviour of compact dielectric lenses. Furthermore, it is demonstrated that the lens shaping enables one to improve the performance of switched-beam DLAs typically used in base stations for indoor communication systems.