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Two-Shell Radially Symmetric Dielectric Lenses as Low-Cost Analogs of the Luneburg Lens

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3 Author(s)
Boriskin, A.V. ; Inst. of Radiophys. & Electron., NASU, Kharkov, Ukraine ; Vorobyov, A. ; Sauleau, R.

This communication provides guidelines for the design of two-shell radially symmetric dielectric lenses with collimating capabilities compatible with those of the classical Luneburg lens. Unlike earlier publications, it is demonstrated that such a lens can be designed using any standard low permittivity dielectric materials, provided the optimal shell thickness is selected. The lens characteristics are studied in 2-D formulation using exact series representation. A detailed description is given for lenses with radius of 10 λ0 and core made of Rexolite. The design recommendations are then generalized for lenses with radii of 5 to 15 λ0 and cores made of Teflon, Fused Silica and Quartz. Finally, a chart defining the optimal shell thickness for lenses made of two arbitrary dielectric materials is provided. Validity of the recommendations for design of 2-D and 3-D radially symmetric lenses is proven by comparison with optimal designs reported by other authors.

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Antennas and Propagation, IEEE Transactions on  (Volume:59 ,  Issue: 8 )