Transformation Optics with Photonic Band Gap Media

Abstract

We introduce a class of optical media based on adiabatically modulated, dielectric-only, and potentially extremely low-loss, photonic crystals. The media we describe represent a generalization of the eikonal limit of transformation optics (TO). The foundation of the concept is the possibility to fit frequency isosurfaces in the k-space of photonic crystals with elliptic surfaces, allowing them to mimic the dispersion relation of light in anisotropic effective media. Photonic crystal cloaks and other TO devices operating at visible wavelengths can be constructed from optically transparent substances like glasses, whose attenuation coefficient can be as small as 10 dB/km, suggesting the TO design methodology can be applied to the development of optical devices not limited by the losses inherent to metal-based, passive metamaterials.

4 pages, 4 figures

References in corpus (3)

• Hiding Under the Carpet: a New Strategy for Cloaking
• Optical design of reflectionless complex media by finite embedded coordinate transformations
• Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction

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• Controlling the flow of light using the inhomogeneous effective gauge field that emerges from dynamic modulation
• Photonic crystals as metamaterials
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• Isotropic-medium three-dimensional cloaks for acoustic and electromagnetic waves
• Low-loss directional cloaks without superluminal velocity or magnetic response
• The scattering of a cylindrical invisibility cloak: reduced parameters and optimization
• Transformation optics for cavity array metamaterials
• Defective annular semiconductor-superconductor photonic crystal
• Waves in slowly varying band-gap media