General theory of wave propagation through graded interfaces between positive- and negative-refractive-index media

Mariana Dalarsson
Phys. Rev. A 96, 043848 – Published 20 October 2017

Abstract

The introduction of metamaterials and transformation optics has brought the possibilities for manipulating electromagnetic waves to an unprecedented level, suggesting applications like super-resolution imaging, cloaking, subwavelength focusing, and field localization. The refractive index of metamaterial structures in transformation optics typically has to be spatially graded. This paper presents a full analytical method for description of the field propagation through composites with gradient refractive index. The remarkable property of this approach is that it gives explicit general expressions for the field intensity and transmission and reflection coefficients, without reference to any boundary conditions. This opens a possibility for a novel fundamental theory of a number of important electromagnetic phenomena. The method enables calculation of wave propagation parameters within structures with arbitrary losses, arbitrary spectral dispersions, and arbitrary slopes of permittivity and permeability gradients, from mild to abrupt.

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  • Received 18 June 2017

DOI:https://doi.org/10.1103/PhysRevA.96.043848

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
General Physics

Authors & Affiliations

Mariana Dalarsson*

  • Department of Physics and Electrical Engineering, Linnaeus University, 351 95 Växjö, Sweden

  • *Corresponding author: mariana.dalarsson@lnu.se

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Issue

Vol. 96, Iss. 4 — October 2017

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