Inverse Transformation Optics and Reflection Analysis for Two-Dimensional Finite Embedded Coordinate Transformation

Abstract

Inverse transformation optics is introduced, and used to calculate the reflection at the boundary of a transformation medium under consideration. The transformation medium for a practical device is obtained from a two-dimensional (2D) finite embedded coordinate transformation (FECT) which is discontinuous at the boundary. For an electromagnetic excitation of particular polarization, many pairs of original medium (in a virtual space V') and inverse transformation can give exactly the same anisotropic medium through the conventional procedure of transformation optics. Non-uniqueness of these pairs is then exploited for the analysis and calculation of the boundary reflection. The reflection at the boundary of the anisotropic FECT medium (associated with the corresponding vacuum virtual space V) is converted to the simple reflection between two isotropic media in virtual space V' by a selected inverse transformation continuous at the boundary. A reflectionless condition for the boundary of the FECT medium is found as a special case. The theory is verified numerically with the finite element method.

7 pages, 4 figures

References in corpus (10)

• Achieving transparency with plasmonic coatings
• Dielectric Optical Cloak
• Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell's Equations
• General Relativity in Electrical Engineering
• A complementary media invisibility cloak that can cloak objects at a distance outside the cloaking shell
• Transformation media that rotate electromagnetic fields
• Optical design of reflectionless complex media by finite embedded coordinate transformations
• Anisotropic Metamaterials Emulated by Tapered Waveguides: Application to Optical Cloaking
• Impedance-matched Hyperlens
• Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background

Cited by in corpus (2)

• A General Class of Metamaterial Transformation Slabs
• Static magnetic field concentration and enhancement using magnetic materials with positive permeability