Surface Acoustic Waves in Inhomogeneous Media

1 Basic Types of Surface Acoustic Waves in Solids.- 1.1 Rayleigh Waves.- 1.2 Gulyaev-Bleustein Waves.- 1.3 Love Waves and Other Shear Surface Waves.- 1.4 Waves in Plates and Layered Structures.- 1.5 Surface Waves in Crystals.- 2 Interaction of Surface Acoustic waves With Electrons and Influence of Substrate Environment on Wave Propagation.- 2.1 General.- 2.2 Acoustoelectronic Amplification of Surface Waves.- 2.3 Nonlinear Acoustoelectronic Effects.- 2.4 Interaction of Surface Waves in Piezoelectrics with Electron Beams in a Vacuum.- 2.5 Acoustic Transfer of Charges.- 2.6 Rayleigh Wave Attenuation Caused by Gas Load.- 2.7 Stoneley Waves on the Interface between a Solid and a Fluid.- 2.8 "Viscosity" Shear Surface Waves.- 3 Impedance Method in the Theory of Surface Waves in Inhomogeneous and Layered Media.- 3.1 Concept of Surface Impedance.- 3.2 Equation for the Surface Impedance Matrix.- 3.3 Layered Anisotropic Medium.- 3.4 Energy Relations.- 3.5 Layered Isotropic Elastic Medium.- 3.6 Impedance of a Piezoelectric of Class C6v.- 3.7 Energy Flux and Density for Classical Types of Surface Waves.- 3.8 Scattering of Surface Waves by Weak Inhomogeneities in Born's Approximation.- 4 Scattering of Surface Waves by Local Irregularities.- 4.1 Impedance of a Layered Half-space with a Thin Irregular Layer.- 4.2 Scattering by Irregularities of a Projection and a Hollow Type.- 4.3 Angles of Zero Scattering.- 4.4 Scattering of Rayleigh Waves.- 4.5 Transformation into Bulk Waves.- 4.6 Scattering of Gulyaev-Bleustein Waves by Two-dimensional Boundary Irregularities.- 4.7 Impedance of Elastic Half-space with Bulk Irregularities.- 4.8 Scattering by Cylindrical and Wedge-like Irregularities..- 5 Second Order Effects in Surface Wave Scattering by a Rectangular Projection.- 5.1 IterationMethod.- 5.2 Equation for the Surface Impedance.- 5.3 A Rectangular Projection in the Case of Horizontally Polarized Waves: An Exact Solution for Surface Impedance.- 5.4 Second Order Effects in a Scattered Field of Horizontally Polarized Waves.- 5.5 Parameters of Scattering for Love Waves.- 5.6 A Rectangular Projection in the Case of Vertically Polarized Waves.- 5.7 Scattering of the Rayleigh Wave.- 6 Propagation of Surface Acoustic Waves in Small Scale Periodic Structures.- 6.1 General Notion.- 6.2 Surface Transverse Waves on a Rough Surface.- 6.3 Shear Waves on a Periodically Perturbed Interface.- 6.4 Surface Skimming Bulk Waves and Surface Transverse Waves in Crystals.- 7 Bragg Reflection of Surface Waves.- 7.1 Background of the Problem.- 7.2 Reflection of Rayleigh Waves from Sinusoidal Irregularities on a Substrate Surface.- 7.3 Weighted Reflectors.- 7.4 Bragg Reflection in the Case of Oblique Incidence on a Grating.- 7.5 Case of Finite Beam Aperture.- 7.6 Two-dimensional Reflecting Structures.- 7.7 Bragg Reflection of Gulyaev-Bleustein Waves.- 8 Mutual Transformation of Bulk and Surface Acoustic Waves by Periodic Irregularities.- 8.1 Brekhovskikh Damping.- 8.2 Crystal Anisotropy Effect.- 8.3 Role of Second Order Effects.- 8.4 Structural Transducer.- 8.5 Damping Interference of Scattered Waves for Shear Surface Waves Propagating in Gratings with Period Equal to Half the Wavelength.- 9 Rayleigh Waves on Curved Surfaces of Arbitrary Form.- 9.1 History of the Problem.- 9.2 Analysis of Rayleigh Wave Propagation along a Curved Surface by the Method of Parabolic Equations.- 9.3 Anisotropy of the Rayleigh Wave Velocity due to Surface Curvature.- 9.4 Geometrical Acoustics of Curved Surfaces.- 9.5 Rays and Caustics of Rayleigh Waves on Surfaces of Varying Curvature.- 10 Topographic Waveguides.- 10.1 Rectangular and Triangular Ridges on the Surface of a Solid as Waveguides.- 10.2 Waves Propagating along the Edge of an Elastic Wedge (Wedge Acoustic Waves).- 10.3 Geometrical-acoustic Approach to the Theory of Wedge Waves.- 10.4 Scattering of Wedge Acoustic Waves.- 10.5 Smooth Topographic Waveguides.- 11 Thin Film Waveguides for Surface Acoustic Waves.- 11.1 Impedance Method for Determining Fields and Dispersion Equations.- 11.2 Fundamental Rayleigh Mode.- 11.3 Fundamental Love Mode.- 11.4 Rayleigh Wave Radiation by a Thin Film Waveguide in the Case of Love Wave Propagation.- 12 Scattering of Surface Acoustic Waves at the Boundaries of Wedge-like Regions.- 12.1 History of the Problem.- 12.2 Rayleigh Wave Reflection and Transmission in Acute Angle Elastic Wedge in the Case of Normal Incidence.- 12.3 Rayleigh Wave Reflection from Wedge Edge in the Case of Oblique Incidence: The Effects of Caustic Phase Shift.- 12.4 On the Applicability Conditions for the Geometrical Acoustics Approximation for Solid Wedges.- 12.5 Characteristic Properties of Surface Wave Scattering in Obtuse-angle Wedge.- 13 Waves on Rough Surfaces.- 13.1 Background.- 13.2 Statement of Surface Wave Scattering Problems by Use of Integral Equation.- 13.3 Born series: The First and Higher Approximations of the Theory of Scattering.- 13.4 The Rayleigh Wave Attenuation on a Rough Surface.- 13.5 The Rayleigh Wave Dispersion due to Roughness.- 14 Interaction Between Electrode Structures and Surface Waves in Piezoelectrics.- 14.1 Statement of the Problem.- 14.2 Relation Between Surface Charge Distribution and Parameters of Scattered Waves.- 14.3 Integral Equation for Surface Charge Distribution.- 14.4 Approximate Methods for Solving the Integral Equation for Charge.- 14.5 Self-consistent Solution.- 14.6 Narrow-electrode Approximation.- 14.7 A Single Electrode.- 14.8 Two-electrode Transducer.- 14.9 Multi-electrode Structures.- 15 Waves in a Half-space with Account of Surface Effects.- 15.1 Gibbs' Definition of Surface Effects.- 15.2 Surface Stress Tensor: Surface Elasticity and Density.- 15.3 Nonclassical Boundary Conditions Incorporating Surface Effects.- 15.4 Surface Effects and Rayleigh Waves.- References.