Vectorial approach of determining the wave propagation at metasurfaces

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.06.016· OSTI ID:22451234

Smith, Daniel ^[1]; Campbell, Michael ^[2]; Bergmann, Andreas ^[3]

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1. Physics Department, Carnegie Mellon University, Pittsburgh, PA 15213 (United States)
2. School of Mathematics and Physics, Queens University, Belfast BT7 1NN (United Kingdom)
3. Department of Physics, University of Hamburg, 20355 Hamburg (Germany)

Vector approach often benefits optical engineers and physicists, and a vector formulation of the laws of reflection and refraction has been studied (Tkaczyk, 2012). However, the conventional reflection and refraction laws may be violated in the presence of a metasurface, and reflection and refraction at the metasurface obey generalized laws of reflection and refraction (Yu et al., 2011). In this letter, the vectorial laws of reflection and refraction at the metasurface were derived, and the matrix formulation of these vectorial laws are also obtained. These results enable highly efficient and unambiguous computations in ray-tracing problems that involve a metasurface.

• OSTI ID: 22451234
• Journal Information: Annals of Physics, Vol. 361; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATRICES
OPTICS
REFLECTION
REFRACTION
VECTORS
WAVE PROPAGATION