Synthesizing thin dielectric lenses for conical scanning beams: A hybrid numerical algorithm

摘要

A numerical recipe is presented to synthesize off-axis fed lenses to produce conical beams. The algorithm is based on the concepts of Geometrical Optics Ray Tracing and Particle Swarm Optimization of a 10-term Quadratic-Tapered Legendre Series Expansion of the lens surface topology parameterized as a Body-of-Revolution to obtain azimuthal symmetry required to produce the conical beam. Full-Wave analysis is used to validate the technique. An example of an on-axis fed shaped lens optimized for uniform phase is presented.