2007
DOI: 10.1109/tap.2006.889849
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Design Optimization of Multishell Luneburg Lenses

Abstract: Guidelines are provided for designing multishell Luneburg lenses (LL) whatever the primary source is. Three different optimization problems that minimize three different norms of the discrepancy between the ideal relative permittivity and the reconstructed one with respect to the thickness and permittivity of each shell are detailed. The performances of the three so-optimized LL are compared by simulations with those of previously proposed approaches. The highest directivity is obtained for the minmax norm. An… Show more

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Cited by 112 publications
(41 citation statements)
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“…Cross sectional view of a multi-shells lens [7] The different radii (r i ) and permittivities ( i ) of the areas are obtained with the following formulas [11]:…”
Section: Figurementioning
confidence: 99%
See 1 more Smart Citation
“…Cross sectional view of a multi-shells lens [7] The different radii (r i ) and permittivities ( i ) of the areas are obtained with the following formulas [11]:…”
Section: Figurementioning
confidence: 99%
“…So, to avoid using different materials as it was done in [11], an innovative technological process is investigated in this paper by pressing a basic piece of foam material in order to obtain the different permittivity values [12]. In this paper, an Airex PXc245 foam material [13] and a ring of Rohacell foam have been used to manufacture the flat Luneburg lens.…”
Section: Technological Process and Lens Manufacturingmentioning
confidence: 99%
“…This optimization problem has already been addressed by several researchers [17][18][19]. This article provides by the first time an all-encompassing approach, where the original version introduced for the used method of optimization (PSO) allows the optimization of not only the lens shell parameters, but also the pertinent feed parameters, like the half power beamwidth (HPBW) and the lens-to-feed distance (h), as represented in Figure 3.…”
Section: Directivity Maximization Of Luneburg Lensesmentioning
confidence: 99%
“…Especially, Luneburg lenses have been of interest lately. For example, the inhomogeneous refractive index of the Luneburg lens has been realized by drilling electrically small holes into a dielectric [2], by using pressed foam material [3], and by employing several homogeneous shells [4]. On the other hand, the use of metamaterials with negative refractive index for creating a microwave lens has also been discussed recently in [5,6].…”
Section: Introductionmentioning
confidence: 99%