Acoustics-A Textbook for Engineers and Physicists: Volume I: Fundamentals

List of Examples
Preface
1 Descriptions of Sound 1.1 Harmonic Signals 1.1.1 Basic Properties 1.1.2 Vectorial Representation 1.1.3 Complex Exponential Representation 1.1.4 Operations Using Complex Exponentials 1.2 Averages 1.3 Metrics of Sound 1.3.1 Sound Pressure Level 1.3.2 Human Factors 1.3.3 Frequency Bands 1.4 Transfer Between Time and Frequency Domains 1.4.1 Fourier Series 1.4.2 Discrete Fourier Transforms 1.4.3 Nyquist Sampling Criterion 1.4.4 Fast Fourier Transforms 1.4.5 Evaluation of Time Responses 1.5 Spectral Density 1.5.1 Definition 1.5.2 Noise Models 1.6 Homework Exercises
2 Plane Waves: Time Domain Solutions 2.1 Continuum Equations in One Dimension 2.1.1 Conservation of Mass2.1.2 Momentum Equation 2.2 Linearization and the One-Dimensional Wave Equation 2.3 Equation of State and the Speed of Sound 2.4 The d'Alembert Solution 2.4.1 Derivation 2.4.2 Interpretation 2.4.3 Harmonic Waves 2.5 The Method of Wave Images 2.5.1 Initial Value Problem in an Infinite Domain 2.5.2 Plane Waves in a Semi-Infinite Domain 2.5.3 Plane Waves in a Finite Waveguide 2.6 Analogous vibratory systems 2.6.1 Stretched cable 2.6.2 Extensional waves in an elastic bar 2.7 Closure 2.8 Homework Exercises
3 Plane Waves: Frequency Domain Solutions 3.1 General Solution 3.2 Waveguides With Boundaries 3.2.1 Impedance and Reflection Coefficients 3.2.2 Evaluation of the Signal 3.2.3 Modal Properties and Resonances 3.2.4 Impedance Tubes 3.3 Effects of Dissipation3.3.1 Viscosity 3.3.2 Thermal Transport 3.3.3 Molecular Relaxation 3.3.4 Absorption in the Atmosphere and Ocean 3.3.5 Wall Friction 3.4 Acoustical Transmission Lines 3.4.1 Junction Conditions 3.4.2 Time Domain 3.4.3 Frequency Domain Formulation for Long Segments 3.5 Closure 3.6 Homework Exercises
4 Principles and Equations for Multidimensional Phenomena 4.1 Fundamental Equations for an Ideal Gas 4.1.1 Continuity Equation 4.1.2 Momentum Equation 4.2 Linearization 4.3 Plane Waves in Three Dimensions 4.3.1 Simple Plane Wave in the Time Domain 4.3.2 Trace Velocity 4.3.3 Simple Plane Wave in the Frequency Domain 4.4 Velocity Potential 4.5 Energy Concepts and Principles 4.5.1 Energy and Power 4.5.2 Linearization 4.5.3 Power Sources 4.6 Closure4.7 Homework Exercises
5 Interface Phenomena for Planar Waves 5.1 Radiation Due to Surface Waves 5.1.1 Basic Analysis 5.1.2 Interpretation 5.2 Reflection from a Surface Having a Local Impedance 5.2.1 Reflection from a Time Domain Perspective 5.2.2 Reflection from a Frequency Domain Perspective 5.3 Transmission and Reflection at an Interface Between Fluids 5.3.1 Time Domain Analysis 5.3.2 Frequency Domain Analysis 5.4 Propagation Through Layered Media 5.4.1 Basic Analysis of Three Fluids 5.4.2 Multiple Layers 5.5 Solid Barriers 5.5.1 General Analysis 5.5.2 Specific Barrier Models 5.6 Homework Exercises
6 Spherical Waves and Point Sources 6.1 Spherical Coordinates 6.2 Radially Vibrating Sphere-Time Domain Analysis 6.2.1 General Solution 6.2.2 Radiation from a Uniformly Vibrating Sphere 6.2.3 Acoustic Field in a Spherical Cavity 6.3 Radially Vibrating Sphere-Frequency Domain Analysis 6.3.1 General Solution 6.3.2 Radiation from a Radially Vibrating Sphere 6.3.3 Standing Waves in a Spherical Cavity 6.4 Point Sources 6.4.1 Single Source 6.4.2 Green's Function 6.4.3 Point Source Arrays 6.4.4 Method of Images 6.5 Dipoles, Quadrupoles, and Multipoles 6.5.1 The Dipole Field 6.5.2 Radiation from a Translating Rigid Sphere 6.5.3 The Quadrupole Field 6.5.4 Multipole Expansion 6.6 Doppler Effect 6.6.1 Introduction 6.6.2 Moving Fluid 6.6.3 Subsonic Point Source 6.6.4 Supersonic Point Source 6.7 Homework Exercises
Appendix : Fourier Transforms A.1 Derivation A.2 Evaluation TechniquesA.2.1 Transform Pairs A.2.2 Fast Fourier Transforms
Index