Waves in gradient metamaterials / Alexander B. Shvartsburg, Alexei A. Maradudin.

Format:

Book

Author/Creator:

Shvart︠s︡burg, A. B. (Aleksandr Borisovich)

Contributor:

Maradudin, Alexei A., 1931-

Language:

English

Subjects (All):

Metamaterials.

Nanostructures.

Nanophotonics.

Dielectrics.

Physical Description:

x, 328 pages : illustrations ; 24 cm

Place of Publication:

Singapore : World Scientific, [2013]

Summary:

This book opens a new avenue to an engendering field of applied physics, located at the "crossing" of modern nanophotonics, electromagnetics, acoustics and material science. It highlights the fundamental concept of artificial heterogeneity-induced dispersion of gradient dielectric metamaterials, providing the amplitude-phase reflectance/transmittance spectra for any transparent metamaterial in any needed spectral range. Reflectionless tunneling of visible and IR waves through the gradient nanolayers is shown to be a powerful tool for governing radiation flows in the photonic crystals. The series of new exact analytical solutions of Maxwell equations/forming the standardized mathematical basis for design and optimization of parameters of miniaturized subwavelength gradient nanostructures, are obtained from the first principles. Never before published information, visualizing the effects of artificial acoustical dispersion and tunneling of sound in solids with the gradient distributions of density and elasticity, is presented. Book jacket.

Contents:

1 Introduction 1

Bibliography 12

2 Non-local Dispersion of Heterogeneous Dielectrics 15

2.1 Giant Heterogeneity-Induced Dispersion of Gradient Photonic Barriers 18

2.2 Reflectance and Transmittance of Subwavelength Gradient Photonic Barriers: Generalized Fresnel Formulae 21

2.3 Non-Fresnel Reflectance of Unharmonic Periodic Gradient Structures 28

Comments and Conclusions to Chapter 2 38

Bibliography 41

3 Gradient Photonic Barriers: Generalizations of the Fundamental Model 43

3.1 Effects of the Steepness of the Refractive Index Profile near the Barrier Boundaries on Reflectance Spectra 44

3.2 Asymmetric Photonic Barriers 47

3.3 Inverse Functions and Parametric Presentations - New Ways to Model the Photonic Barriers 55

Comments and Conclusions to Chapter 3 63

Bibliography 65

4 Resonant Tunneling of Light Through Gradient Dielectric Nanobarriers 67

4.1 Transparency Windows for Evanescent Modes: Amplitude - Phase Spectra of Transmitted Waves 73

4.2 Energy Transfer in Gradient Media by Evanescent Waves 78

4.3 Weakly Attenuated Tunneling of Radiation Through a Subwavelength Slit, Confined by Curvilinear Surfaces 82

Comments and Conclusions to Chapter 4 91

Bibliography 92

5 Interaction of Electromagnetic Waves with Continuously Structured Dielectrics 93

5.1 Reflectance/Transmittance Spectra of Lossy Gradient Nanostructures 97

5.2 Interplay of Natural and Artificial Dispersion in Gradient Coatings 100

5.3 EM Radiation in Gradient Superlattices 109

Comments and Conclusions to Chapter 5 117

Bibliography 119

6 Polarization Phenomena in Gradient Nanophotonics 121

6.1 Wideangle Broadband Antireflection Coatings 124

6.2 Polarization-Dependent Tunneling of Light in Gradient Optics 133

6.3 Reflectionless Tunneling and Goos-Hänchen

Effect in Gradient Metamaterials 140

Comments and Conclusions to Chapter 6 147

Bibliography 150

7 Gradient Optics of Guided and Surface Electromagnetic Waves 151

7.1 Narrow-Banded Spectra of S-polarized Guided Electromagnetic Waves on the Surface of a Gradient Medium: Heterogeneity-Induced Dispersion 153

7.1.1 0 < ω < Ω_c 159

7.1.2 ω > Ω_c 164

7.2 Surface Electromagnetic Waves on a Curvilinear Interface: Geometrical Dispersion 165

7.3 Surface Electromagnetic Waves on Rough Surfaces: Roughness-Induced Dispersion 177

7.3.1 Periodically corrugated surfaces 182

7.3.2 A randomly rough surface 187

Comments and Conclusions to Chapter 7 197

Bibliography 199

8 Non-local Acoustic Dispersion of Gradient Solid Layers 203

8.1 Gradient Acoustic Barrier with Variable Density: Reflectance/Transmittance Spectra of Longitudinal Sound Waves 207

8.2 Heterogeneous Elastic Layers: "Auxiliary Barrier" Method 210

8.3 Double Acoustic Barriers: Combined Effects of Gradient Elasticity and Density 217

Comments and Conclusions to Chapter 8 224

Bibliography 225

9 Shear Acoustic Waves in Gradient Elastic Solids 227

9.1 Strings with Variable Density 229

9.2 Torsional Oscillations of a Graded Elastic Rod 234

9.3 Tunneling of Acoustic Waves Through a Gradient Solid Layer 243

Comments and Conclusions to Chapter 9 246

Bibliography 248

10 Shear Horizontal Surface Acoustic Waves on Graded Index Media 251

10.1 Surface Acoustic Waves on the Surface of a Gradient Elastic Medium 252

10.2 Surface Acoustic Waves on Curved Surfaces 262

10.2.1 Surface acoustic waves on a cylindrical surface 266

10.2.2 A variable radius of curvature 276

10.3 Surface Acoustic Waves on Rough Surfaces 284

10.3.1 A periodic surface 288

10.3.2 A randomly rough surface 292

Comments and Conclusions to Chapter 10 298

Bibliography 300.

Notes:

Includes bibliographical references and index.

ISBN:

9789814436953

981443695X

OCLC:

813931924