Electromagnetic Mathematical Modeling of 3D Supershaped Dielectric Lens Antennas
The electromagnetic analysis of a special class of 3D dielectric lens antennas is described in detail.This new class of lens antennas
has a geometrical shape defined by the three-dimensional extension of Gielis’ formula. The analytical description of the lens shape
allows the development of a dedicated semianalytical hybrid modeling approach based on geometrical tube tracing and physical
optic. In order to increase the accuracy of the model, the multiple reflections occurring within the lens are also taken into account.