Abstract
The development of transformation optics presented a new tool for designing devices with unprecedented functionalities, such as invisibility cloaks. This development occurred concurrently with appearance of metamaterials, projected to serve as the transformation media. This chapter starts with an overview of transformation optics concepts and their application to invisibility cloaks. It describes the challenges of the first microwave cloak, formed from differently sized metallic resonators, at providing prescribed radial dispersion of the effective permeability in the cloak medium. Then the chapter addresses specific problems, characterizing employment of dielectric metamaterials as the media of invisibility cloaks and the approaches applied for their solution. In particular, the approaches to implementing infrared and microwave invisibility cloaks from identical dielectric resonators are presented. Prescribed radial dispersion of the effective permeability in these cloaks was provided by changing the air fractions in the cloak layers. The problems of resonance field coupling and finding optimal interresonator distances in the cloak media are addressed.
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