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An analytical method, the mode matching technique based on spherical wave functions, has been described and applied to both spherically and hemispherically stratified lenses fed by an open-ended waveguide such as respectively, multishell Luneburg and half Maxwell fish-eye lens antennas. A way to deal with any real source as well as to handle hemispherical lenses is explained, yielding to remarkably...
Inhomogeneous lenses with index gradient are usually used to focus electromagnetic waves produced by antennas. They are built by assembling several homogeneous shells, giving them the name of stratified lenses. This paper deals with an inhomogeneous hemispherically stratified lens: the half Mawell fish-eye (HMFE) lens. First, a general method to analyze stratified lenses in terms of radiating properties...
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