The cylindrical luneburg lens discretization influence on its radiation parameters

Abstract

The cylindrical Luneburg lens under analysis has a radially inhomogeneous layered structure. The influence of the number of layers on lens radiation parameters is investigated. Four types of lenses discretization are considered. For each type antenna directivity is analyzed. Radiation patterns of three-layered Luneburg lens and 3-w ave length outer radius are shown. To calculate radiation patterns and antenna gain a model based on cylindrical Green's functions for layered inhomogeneous cylindrical structures was used. A model of equivalent radial lines, in which voltages and currents are associated with the spectral components of the electromagnetic field, is used for the analysis. In addition, for the solution transfer and boundary matrices are used and boundary conditions are modeled by end loads. The optimal method of cylindrical Luneburg lens layer's permittivity and thickness choice is suggested.