Acoustics, Basic Physics, Theory and Methods by Filippi, Paul -- Read -- Imperial Library of Trantor

Index

Cover image Title page Table of Contents Copyright page Foreword Preface Chapter 1: Physical Basis of Acoustics

Introduction 1.1 Review of Mechanics of Continua 1.2 Elementary Acoustics 1.3 Elementary Acoustics of Solids: Elementary Elastic Waves 1.4 Conclusion

Chapter 2: Acoustics of Enclosures

Chapter 3: Diffraction of Acoustic Waves and Boundary Integral Equations

Chapter 4: Outdoor Sound Propagation

Introduction 4.1 Ground effect in a homogeneous atmosphere 4.2 Diffraction by an Obstacle in Homogeneous Atmosphere 4.3 Sound Propagation in an Inhomogeneous Medium

Chapter 5: Analytic Expansions and Approximation Methods

Introduction 5.1 Asymptotic Expansions Obtained from Integral Expressions 5.2 Kirchhoff Approximation 5.3 Neumann series 5.4 W.K.B. Method. Born and Rytov Approximations 5.5 Image method, ray method, geometrical theory of diffraction 5.6 Parabolic approximation 5.7 Wiener–Hopf method

Chapter 6: Boundary Integral Equation Methods – Numerical Techniques

Introduction 6.1 Techniques of Solution of Integral Equations 6.2 Eigenvalue Problems 6.3 Singularities

Chapter 7: Introduction to Guided Waves

Introduction 7.1 Definitions and General Remarks 7.2 The Problem of the Waveguide 7.3 Radiation of Sources in Ducts with ‘Sharp’ Interfaces 7.4 Shallow Water Guide 7.5 Duct with Absorbing Walls 7.6 Ducts with Varying Cross Section 7.7 Conclusion

Chapter 8: Transmission and Radiation of Sound by Thin Plates

Chapter 9: Problems

Common Data for Problems 1 to 5 1 Eigenmodes for the Dirichlet Problem 2 Forced Regime for the Dirichlet Problem 3 Green’s Function for the Helmholtz Equation Inside a Parallelepipedic Enclosure 4 Green’s Formula 5 Green’s Representations of the Solutions of the Neumann, Dirichlet and Robin Problems 6 Green’s Kernel of the Helmholtz Equation in R2 7 Singular Solutions of the Helmholtz Equation in R2 8 Singular Solutions of the Helmholtz Equation in R3 9 Expression of the Normal Derivative of a Double Layer Potential in R3 10 Green’s Representation of the Exterior Dirichlet and Neumann Problems 11 Interior Problem and Hybrid Potential Representation 12 Propagation in a Stratified Medium. Spatial Fourier Transform 13 Asymptotic Expansions 14 Parabolic Approximation 15 Method of Images 16 Integral Equation and Fourier Transform 17 Born Method 18 Diffraction by a Thin Screen 19 Integral Equation 20 Method of Wiener–Hopf 21 Neumann Condition 22 Integral Equations in an Enclosure 23 Propagation in a Waveguide 24 Propagation in a Layer 25 Fourier Transform and Separation Method 26 Integral Equations 27 Geometrical Theory of Diffraction 28 Elastically Supported Piston in a Waveguide 29 Roots of the Dispersion Equation 30 Infinite Fluid-loaded Plate with Two Different Fluids (a) 31 Infinite Fluid-loaded Plate with Two Different Fluids (b) 32 Fluid-loaded Baffled Plate: Eigenmodes 33 Fluid-loaded Baffled Plate: Light Fluid Approximation

Mathematical Appendix: Notations and Definitions

Introduction A.1 Notations Used in this Book A.2 Classical Definitions A.3 Function Spaces A.3.1 Space D and Space D' A.3.2 Space S A.3.3 Hilbert spaces A.3.4 Sobolev spaces A.4 Distributions or Generalized Functions A.4.1 Distributions A.4.2 Derivation of a distribution A.4.3 Tensor product of distributions A.5 Green’s Kernels and Integral Equations

Index