Geometrical techniques for controlling electromagnetic waves I

10:30 Invited talk : Understanding the performance of qTO-enabled flattened gradient-index optics through polynomial-decomposition-based analytical mappings

S. D. Campbell, Donovan E. Brocker, Jogender Nagar, Douglas H. Werner, Pingjuan L. Werner

The Pennsylvania State University (USA)

Recent advances in the field of Transformation Optics (TO) have renewed the interest in gradient-index (GRIN) optical systems. By transforming a classically-inspired aspherical lens to a flat geometry using TO, we can achieve a design with better field-of-view performance than traditional radial GRIN lenses. In order to understand the underlying physics of this performance improvement, we decompose the TO solution into a 2D-polynomial basis and propose to analyze its wavefront error to determine which terms minimize oblique-angle optical aberrations.
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10:50 Invited talk : Controlling Electromagnetic Waves with Inhomogeneous Metamaterials

Di Bao, Tie Cui

Southeast University (China)

Metamaterials have provide great flexibility in manipulate electromagnetic wave, and many methodologies have been proposed to designed novel devices, such as geometrical optics, quasi-conformal mapping and transformation optics. In this presentation, we presented several metamaterial devices, including flat lens antenna, flattened Luneburg lens, invisible cloak and illusion devices.
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11:10 Invited talk : Transformation optics: A tool to study symmetries in plasmonics

Matthias Kraft (1),John Pendry (1),Stefan Maier (1),Yu Luo (2)

(1)Imperial College London (United Kingdom) , (2)Nanyang Technological University (Singapore)

Symmetry is one of the most fundamental properties of an object: it both identifies the object and classifies its properties. An example would be a crystal whose translational symmetry allows us to classify electrons states by their Bloch wave vector. However, sometimes symmetry is hidden from view. We employ the new technique of Transformation Optics as a tool to reveal hidden symmetries in plasmonic systems, and to calculate their optical properties.
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11:30 Invited talk : Controlling Microwave Surface Waves

Rhiannon Mitchell-Thomas (1),Oscar Quevedo-Teruel (2),Simon Horsley (1)

(1)University of Exeter (United Kingdom) , (2)KTH Royal Institute of Technology (Sweden)

Geometrical optics allows for an analogy between flat and curved two dimensional geometries to be made, when radially dependent refractive index profiles are employed. This paper examines the applications of this equivalence, which include cloaking, conformal lensing and removing singularities in refractive indices. Examples of each will be given, and will be illustrated with both numerical and experimental data.
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11:50 Invited talk : Conformal transformation for nanoantennas

Victor Pacheco-Pena (1),Miguel Beruete (1),Antonio I. Fernandez-Dominguez (2),Yu Luo (3),Miguel Navarro-Cia (4)

(1)Universidad Publica de Navarra (Spain) , (2)Universidad Autonoma de Madrid (Spain) , (3)Nanyang Technological University (Singapore) , (4)Imperial College London (United Kingdom)

Modeling the response of nanoantennas excited by a localized emitter is extremely computational intensive. Transformation optics can ease this task. Here we show the conformal transformation required to model a plasmonic bow-tie as a parallel-plate plasmonic waveguide. The eigenmodes of a parallel-plate plasmonic waveguide can be calculated analytically, enabling the calculation of the eigenmodes and the absorption cross section of the original bow-tie via the transformation. Full-wave simulations corroborate the approach
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12:10 Invited talk : Antenna Aperture Synthesis Using Cascaded Sheet Admittances

Brian Tierney, Anthony Grbic

University of Michigan (USA)

A technique for the synthesis of arbitrary radiation patterns using leaky-wave modes is presented. Complete control of the antenna aperture magnitude, phase, and polarization is demonstrated using impedance surfaces consisting of cascaded sheet admittances separated by dielectric layers and backed by a ground plane.
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