Design of layered transformation-optics devices of arbitrary shape
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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.
Published Version (Please cite this version)10.1103/PhysRevA.82.033837
Publication InfoPopa, BI; & Cummer, SA (2010). Design of layered transformation-optics devices of arbitrary shape. Physical Review A - Atomic, Molecular, and Optical Physics, 82(3). pp. 33837. 10.1103/PhysRevA.82.033837. Retrieved from https://hdl.handle.net/10161/3236.
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William H. Younger Distinguished Professor of Engineering
Dr. Steven Cummer received his Ph.D. in Electrical Engineering from Stanford University in 1997 and prior to joining Duke University in 1999 he spent two years at NASA Goddard Space Flight Center as an NRC postdoctoral research associate. Awards he has received include a National Science Foundation CAREER award and a Presidential Early Career Award for Scientists and Engineers (PECASE) in 2001. His current work is in a variety of theoretical and experimental electromagnetic problems related to g