Waves in gradient metamaterials

 Content: 1. Introduction --
 2. Non-local dispersion of heterogeneous dielectrics. 2.1. Giant heterogeneity-induced dispersion of gradient photonic barriers. 2.2. Reflectance and transmittance of subwavelength gradient photonic barriers: generalized Fresnel formulae. 2.3. Non-Fresnel reflectance of unharmonic periodic gradient structures --
 3. Gradient photonic barriers: generalizations of the fundamental model. 3.1. Effects of the steepness of the refractive index profile near the barrier boundaries on reflectance spectra. 3.2. Asymmetric photonic barriers. 3.3. Inverse functions and parametric presentations --
 new ways to model the photonic barriers --
 4. Resonant tunneling of light through gradient dielectric nanobarriers. 4.1. Transparency windows for evanescent modes: amplitude --
 phase spectra of transmitted waves. 4.2. Energy transfer in gradient media by evanescent waves. 4.3. Weakly attenuated tunneling of radiation through a subwavelength slit, confined by curvilinear surfaces --
 5. Interaction of electromagnetic waves with continuously structured dielectrics. 5.1. Reflectance/transmittance spectra of lossy gradient nanostructures. 5.2. Interplay of natural and artificial dispersion in gradient coatings. 5.3. EM radiation in gradient superlattices --
 6.Polarization phenomena in gradient nanophotonics. 6.1. Wideangle broadband antireflection coatings. 6.2. Polarization-dependent tunneling of light in gradient optics. 6.3. Reflectionless tunneling and Goos-Hänchen effect in gradient metamaterials --
 7. Gradient optics of guided and surface electromagnetic waves. 7.1. Narrow-banded spectra of S-polarized guided electromagnetic waves on the surface of a gradient medium: heterogeneity-induced dispersion. 7.2. Surface electromagnetic waves on a curvilinear interface: geometrical dispersion. 7.3. Surface electromagnetic waves on rough surfaces: roughness-induced dispersion --
 8. Non-local acoustic dispersion of gradient solid layers. 8.1. Gradient acoustic barrier with variable density: reflectance/transmittance spectra of longitudinal sound waves. 8.2. Heterogeneous elastic layers: ''auxiliary barrier'' method. 8.3. Double acoustic barriers: combined effects of gradient elasticity and density --
 9. Shear acoustic waves in gradient elastic solids. 9.1. Strings with variable density. 9.2. Torsional oscillations of a graded elastic rod. 9.3. Tunneling of acoustic waves through a gradient solid layer --
 10. Shear horizontal surface acoustic waves on graded index media. 10.1. Surface acoustic waves on the surface of a gradient elastic medium. 10.2. Surface acoustic waves on curved surfaces. 10.3. Surface acoustic waves on rough surfaces.
 Abstract:             This book opens a new avenue to an engendering field of applied physics, located at the ''crossing'' of modern photonics, electromagnetics, acoustics and material science. It also highlights the concept of ''non-locality'', which proves to be not a special feature of quantum phenomena, but is shown to have an important counterpart in classical physics and its engineering applications too. Furthermore, it visualizes the physical results by means of simple analytical presentations, reduced sometimes to the elementary functions