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Design of layered transformation-optics devices of arbitrary shape

Bogdan-Ioan Popa and Steven A. Cummer
Phys. Rev. A 82, 033837 – Published 30 September 2010
Physics logo See Synopsis: Transformation optics by the slice

Abstract

Transformation-optics devices of arbitrary shapes usually result in material parameters inside the device that feature level sets of different shapes. Consequently, these devices cannot easily be implemented using a layered architecture and thus are, generally, more difficult to realize in practice. We present a method of designing two-dimensional transformation-optics devices of arbitrary shapes characterized by material parameters of same-level sets, thus suitable to be implemented through concentric layers, each layer being made of a single type of material or metamaterial. Remarkably, we show that transformations leading to such designs are obtained from solutions to the well-known eikonal equation. This approach allows fabrication techniques developed for cylindrical designs of circular cross section to be directly applied to devices of other shapes.

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  • Received 15 July 2010

DOI:https://doi.org/10.1103/PhysRevA.82.033837

©2010 American Physical Society

Synopsis

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Transformation optics by the slice

Published 22 October 2010

A general approach works toward bringing the magical ideas of transformation optics closer to practical use.

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Authors & Affiliations

Bogdan-Ioan Popa* and Steven A. Cummer

  • Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA

  • *bap7@ee.duke.edu
  • cummer@ee.duke.edu

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Issue

Vol. 82, Iss. 3 — September 2010

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