Abstract
Conference Title: 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) Conference Start Date: 2015, July 19 Conference End Date: 2015, July 24 Conference Location: Vancouver, BC, Canada In this work we present an analytical approach to deriving the field solutions for a class of flat lenses that have attracted the attentions of antenna designers and researchers alike. The lens designs typically consist of a number of layers of graded index dielectrics, whose properties may vary in both the radial and longitudinal directions. The fields propagating in the longitudinal direction through the central layer primarily contribute to the bulk of the phase, while the side layers act as matching layers and help reduce the reflections originating at the interfaces of the middle layer. We model such lenses as compact composites with material properties characterized by continuous permittivity and permeability functions, which tend asymptotically to unity at the boundaries of the composite cylinder.