Book Description
Intended a both a textbook and a reference, Fourier Acoustics develops the theory of sound radiation uniquely from the viewpoint of Fourier Analysis. This powerful perspective of sound radiation provides the reader with a comprehensive and practical understanding which will enable him or her to diagnose and solve sound and vibration problems in the 21st Century. As a result of this perspective, Fourier Acoustics is able to present thoroughly and simply, for the first time in book form, the theory of nearfield acoustical holography, an important technique which has revolutionised the measurement of sound. Relying little on material outside the book, Fourier Acoustics will be invaluable as a graduate level text as well as a reference for researchers in academia and industry.Table of Contents
 Cover image
 Title page
 Table of Contents
 Dedication
 Copyright
 Preface
 Chapter 1: Fourier Transforms & Special Functions

Chapter 2: Plane Waves
 2.1 Introduction
 2.2 The Wave Equation and Euler’s Equation
 2.3 Instantaneous Acoustic Intensity
 2.4 Steady State
 2.5 Time Averaged Acoustic Intensity
 2.6 Plane Wave Expansion
 2.7 Infinite Plate Vibrating in a Normal Mode
 2.8 Wavenumber Space: kspace
 2.9 The Angular Spectrum: Fourier Acoustics
 2.10 Derivation of Rayleigh’s Integrals
 2.11 Farfield Radiation: Planar Sources
 2.12 Radiated Power
 2.13 Vibration and Radiation from an Infinite Pointdriven Plate
 2.14 Vibration and Radiation of a Finite, Simply Supported Plate
 2.15 Supersonic Intensity
 Problems

Chapter 3: The Inverse Problem: Planar Nearfield Acoustical Holography
 3.1 Introduction
 3.2 Overview of the Theory
 3.3 Presentation of Theory for a OneDimensional Radiator
 3.4 Ill Conditioning Due to Measurement Noise
 3.5 The kspace Filter
 3.5.1 Examples
 3.6 Modification of the Filter Shape
 3.7 Measurement Noise and the Standoff Distance
 3.8 Determination of the Cutoff Frequency for the kspace Filter
 3.9 Finite Measurement Aperture Effects
 3.10 Discretization and Aliasing
 3.11 Use of the DFT to Solve the Holography Equation
 3.12 Reconstruction of Other Quantities
 3.12.1 Time Domain
 Problems
 Chapter 4: Cylindrical Waves
 Chapter 5: The Inverse Problem: Cylindrical NAH
 Chapter 6: Spherical Waves
 Chapter 7: Spherical Nearfield Acoustical Holography

Chapter 8: Green Functions and the Helmholtz Integral Equation
 8.1 Introduction
 8.2 Green’s Theorem
 8.3 The Interior Helmholtz Integral Equation
 8.4 Helmholtz Integral Equation for Radiation Problems (Exterior Domain)
 8.5 Helmholtz Integral Equation for Scattering Problems
 8.6 Green Functions and the Inhomogeneous Wave Equation
 8.7 Simple Source Formulation
 8.8 The Dirichlet and Neumann Green Functions
 8.9 Construction of Interior Neumann and Dirichlet Green Functions by Eigenfunction Expansion
 8.10 Evanescent Neumann and Dirichlet Green Functions
 8.11 Arbitrarily Shaped Bodies and the Neumann Green Function
 8.12 Conformal NAH for Arbitrary Geometry
 Problems
 Index
Product Information
 Title: Fourier Acoustics
 Author(s):
 Release date: June 1999
 Publisher(s): Academic Press
 ISBN: 9780080506906