Publications [#283118] of Steven A. Cummer

Papers Published

1. Popa, BI; Cummer, SA, Design of layered transformation-optics devices of arbitrary shape, Physical Review A, vol. 82 no. 3 (September, 2010), American Physical Society (APS), ISSN 1050-2947 [repository], [doi]
   (last updated on 2023/06/01)

   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. © 2010 The American Physical Society.