Elliptical generalized Maxwell fish-eye lens using conformal mapping

Eskandari, Hossein; Majedi, Mohammad Saeed; Attari, Amir Reza; Quevedo–Teruel, Oscar

doi:10.1088/1367-2630/ab2471

Cited by 27 publications

(12 citation statements)

References 132 publications

(153 reference statements)

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“…To understand the operation of Maxwell fisheye lens and how it is used to develop a beamformer, let us consider a three dimensional Cartesian coordinate system shown in Fig. 1 a when the trajectory of the rays within a 3 dimensional (3D) Maxwell fisheye lens is projected onto xz - plane 13 . Mathematically, ray trajectory can be represented as , where t signifies the parametric variation of the ray.…”

Section: Maxwell Fisheye Lens-based Beamformermentioning

confidence: 99%

Design and analysis of Maxwell fisheye lens based beamformer

Abbasi

Ansari

Machado

et al. 2021

Sci Rep

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Antenna arrays and multi-antenna systems are essential in beyond 5G wireless networks for providing wireless connectivity, especially in the context of Internet-of-Everything. To facilitate this requirement, beamforming technology is emerging as a key enabling solution for adaptive on-demand wireless coverage. Despite digital beamforming being the primary choice for adaptive wireless coverage, a set of applications rely on pure analogue beamforming approaches, e.g., in point-to-multi point and physical-layer secure communication links. In this work, we present a novel scalable analogue beamforming hardware architecture that is capable of adaptive 2.5-dimensional beam steering and beam shaping to fulfil the coverage requirements. Beamformer hardware comprises of a finite size Maxwell fisheye lens used as a scalable feed network solution for a semi-circular array of monopole antennas. This unique hardware architecture enables a flexibility of using 2 to 8 antenna elements. Beamformer development stages are presented while experimental beam steering and beam shaping results show good agreement with the estimated performance.

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Section: Maxwell Fisheye Lens-based Beamformermentioning

confidence: 99%

Design and analysis of Maxwell fisheye lens based beamformer

Abbasi

Ansari

Machado

et al. 2021

Sci Rep

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“…Bright and mat red colors relate the holes of the bottom and top layers, respectively. In order to compare our results with [57], the compression factor is chosen to be β = 4/3 (33.33 %). The radius of the lens is set to R = 9 cm.…”

Section: Compressed Maxwell Fish-eye Lensmentioning

confidence: 99%

“…Finally, a performance comparison is made with respect [57], where a MFE lens was compressed with a conformal transformation and fully isotropic dielectric materials. The applied compression factor in [57] is identical to our work, a 33.33 %.…”

Section: Compressed Maxwell Fish-eye Lensmentioning

confidence: 99%

Glide-Symmetric Metallic Structures With Elliptical Holes for Lens Compression

Alex‐Amor

Ghasemifard

Valerio

et al. 2020

IEEE Trans. Microwave Theory Techn.

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In this paper, we study the wave propagation in a metallic parallel-plate structure with glide-symmetric elliptical holes. To perform this study, we derived a mode-matching technique based on the generalized Floquet theorem for glidesymmetric structures. This mode-matching technique benefits from a lower computational cost since it takes advantage of the glide symmetry in the structure. It also provides physical insight on the specific properties of Floquet modes propagating in these specific structures. With our analysis, we demonstrate that glide-symmetric structures with periodic elliptical holes exhibit an anisotropic refractive index over a wide range of frequencies. The equivalent refractive index can be controlled by tuning the dimensions of the holes. Finally, by combining the anisotropy related to the elliptical holes and transformation optics, a Maxwell fish-eye lens with a 33.33% size compression is designed. This lens operates in a wideband frequency range from 2.5 GHz to 10 GHz.

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“…AS an ingenious mathematical approach, transformation optics (TO) [1][2][3][4][5][6] provides a powerful and convenient way to control the electromagnetic (EM) fields arbitrarily, arousing much attentions in the past two decades. Based on this methodology, novel devices with varied functions and applications have been proposed, designed and experimented with an unprecedented prosperity, including invisible cloaks [7][8][9][10][11][12][13], concentrators [14][15][16][17][18], illusory devices [19][20][21][22][23][24][25][26][27][28] and antennas [29][30][31][32][33][34][35] etc. The most striking device among them is invisible cloak, where some properly designed materials are utilized to direct the EM waves propagates smoothly around an arbitrarily shaped object, making the entire device (including the coated object) become invisible for the outside viewers.…”

Section: Introductionmentioning

confidence: 99%

Design of open devices based on multi-folded transformation optics

et al. 2020

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Open devices with homogeneous material parameters are proposed and designed based on multi-folded transformation optics, including open cloak device, open field concentrator and open field amplifying device. In comparison with the previous transformation devices, the proposed open devices possess open windows with compact and embedded structures, providing a flexible approach for remote control or upgrade.The open cloaking devices can hide arbitrarily shaped/sized object in the core region, making it disappeared in visually for the outside viewers, while the open field concentrator can enhance or store EM energy in the core region, and the open field amplifying device can magnify the scattering field of a small object, generating an bigger illusory image with differential material parameter and size. The effectiveness and correctness of the proposed devices are validated by the numerical results obtained based on the commercial finite element software COMSOL Multiphysics. Such scheme is believed to find potential applications in remote controlling with impressive new functions.

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Elliptical generalized Maxwell fish-eye lens using conformal mapping

Cited by 27 publications

References 132 publications

Design and analysis of Maxwell fisheye lens based beamformer

Design and analysis of Maxwell fisheye lens based beamformer

Glide-Symmetric Metallic Structures With Elliptical Holes for Lens Compression

Design of open devices based on multi-folded transformation optics

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