Abstract
As emphasized in Chapter 3, The Basics of Transformation Optics. Realizing Invisibility Cloaking by Using Resonances in Conventional and Dielectric Metamaterials, the possibility to control effective material parameters of metamaterials (MMs) allowed for developing devices based on transformation optics (TO) approaches. Due to resonances in their “atoms,” MMs were found to support superluminal phase velocities of waves and to accelerate their propagation in invisibility cloaks. In Chapter 4, Properties of Dielectric Metamaterials Defined by Their Analogy With Strongly Modulated Photonic Crystals, it was shown that similar phase velocities could be also achieved in dielectric MMs due to their dispersive properties, analogous to those of photonic crystals. This chapter describes specific problems accompanying employment of crystal-inspired properties of dielectric MMs in invisibility cloaks. TO prescriptions for cloak media need redefining in terms of refractive index components. Then, changes of lattice parameters of dielectric arrays allow for providing prescribed index dispersion in the cloak. Anisotropic TO prescriptions could be satisfied by using arrays with rectangular lattices. An opportunity to use the phenomenon of self-collimation for turning wave paths in the cloak media is described.
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