Journal
JOURNAL OF OPTICS
Volume 13, Issue 2, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/2040-8978/13/2/024002
Keywords
transformation optics; optical conformal mapping; cloak; scattering cross section; eikonal approximation; geometrical optics; metamaterials
Categories
Funding
- US Army Research Office through a Multiple University Research Initiative [W911NF-09-1-0539]
- US IC
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We review several approaches to optical invisibility designed using transformation optics (TO) and optical conformal mapping (CM) techniques. TO is a general framework for solving inverse scattering problems based on mimicking spatial coordinate transformations with distributions of material properties. There are two essential steps in the design of TO media: first, a coordinate transformation that achieves some desired functionality, resulting in a continuous spatial distribution of constitutive parameters that are generally anisotropic; and, second, the reduction of the derived continuous constitutive parameters to a metamaterial that serves as a stepwise approximation. We focus here on the first step, discussing the merits of various TO strategies proposed for the long-sought 'invisibility cloak'-a structure that renders opaque objects invisible. We also evaluate the cloaking capabilities of structures designed by the related CM approach, which makes use of conformal mapping to achieve index-only material distributions. The performance of the various cloaks is evaluated and compared using a universal measure-the total (all-angle) scattering cross section.
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