Abstract

We study the problem of constructing an optical surface separating two homogeneous, isotropic media, one of which has a negative refractive index. In doing so, we develop a vector form of Snell’s law, which is used to study surfaces possessing a certain uniform refraction property, in both the near- and far-field cases. In the near-field problem, unlike the case when both materials have positive refractive indices, we show that the resulting surfaces can be neither convex nor concave.

© 2015 Optical Society of America

Experimental determination and numerical simulation of the properties of negative index of refraction materials

R. B. Greegor, C. G. Parazzoli, K. Li, B. E. C. Koltenbah, and M. Tanielian
Opt. Express 11(7) 688-695 (2003)

Brewster angle with a negative-index material

Ceji Fu, Zhuomin M. Zhang, and Phillip N. First
Appl. Opt. 44(18) 3716-3724 (2005)

Negative refractive index in optics of metal-dielectric composites

Alexander V. Kildishev, Wenshan Cai, Uday K. Chettiar, Hsiao-Kuan Yuan, Andrey K. Sarychev, Vladimir P. Drachev, and Vladimir M. Shalaev
J. Opt. Soc. Am. B 23(3) 423-433 (2006)

General refraction problems with phase discontinuities on nonflat metasurfaces

Cristian E. Gutiérrez, Luca Pallucchini, and Eric Stachura
J. Opt. Soc. Am. A 34(7) 1160-1172 (2017)

Metamaterials with gradient negative index of refraction

Anatoliy O. Pinchuk and George C. Schatz
J. Opt. Soc. Am. A 24(10) A39-A44 (2007)