2015
DOI: 10.1364/oe.23.012942
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Conceptual design of a beam steering lens through transformation electromagnetics

Abstract: In this paper, based on transformation electromagnetics, the design procedure of a lens antenna, which steers the radiated beam of a patch array, is presented. Laplace's equation is adopted to construct the mapping between the virtual space and the physical space. The two dimensional (2D) design method can be extended to a potential three-dimensional (3D) realization, and with a proper parameter simplification, the lens can be further realized by common metamaterials or isotropic graded refractive index (GRIN)… Show more

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Cited by 33 publications
(26 citation statements)
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“…The design of the beam steering lens is based on the theoretical model that we have recently proposed 33 . Figure 1a shows the air-filled virtual space which is formed by the quadrilateral A’B’C’D’ in the ( x ’, y ’) coordinates and the desired physical space is formed by the rectangle ABCD in the ( x, y ) coordinates, as presented in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…The design of the beam steering lens is based on the theoretical model that we have recently proposed 33 . Figure 1a shows the air-filled virtual space which is formed by the quadrilateral A’B’C’D’ in the ( x ’, y ’) coordinates and the desired physical space is formed by the rectangle ABCD in the ( x, y ) coordinates, as presented in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…As stated in our theoretical study [28], the determination of the mapping between the virtual space which is free space and the physical space which is the transformed medium lens is introduced by solving Laplace's equations subject to predefined boundary conditions using Comsol Multiphysics Partial Differential Equation (PDE) solver. For simplicity, the transformation deals with a 2D model with incident transverse electric (TE) polarized wave.…”
Section: Design Of the Metamaterials Lensmentioning
confidence: 99%
“…Recently, we experimentally validated the design of a conformal lens capable of restoring in-phase emissions from an array of radiators fixed to a no-planar surface [27]. We further proposed the design procedure of a lens, which is able to steer the radiated beam of an EM radiator [28]. The design was based on the mapping obtained by solving the Laplace's equation with Dirichlet-Neumann sliding boundary condition and was validated by two-dimensional (2D) numerical simulations.…”
Section: Introductionmentioning
confidence: 99%
“…In particular, QCTO provides the possibility to work with arbitrary shapes and avoid singularities. Thus it has been applied to design arbitrary cloak 29 and functional lenses 3033 . Some optical devices were realized simply with dielectric materials and gradient refractive index metamaterials.…”
Section: Introductionmentioning
confidence: 99%