Sound Pulses

By: F. G. Friedlander

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Paperback | 30 July 2009

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216 Pages

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The large number of text books on the theory of sound deal principally with periodic disturbances such as harmonic wave trains and standing waves and give scant attention to aperiodic disturbances with clearly defined fronts, conveniently called sound pulses. This monograph attempts to fill this gap by providing an up-to-date description of the theory of sound pulses and its developments. The treatment is based on the thoery of linear partial differential equations of hyperbolic type - a method which is frequently simpler and more effective than the commoner one of resolving the pulse into harmonic components by Fourier analysis; this is especially true of any treatment of pulse fronts as wave fronts in the sense of geometrical optics. The individual chapters deal with the equations of motion, wave fronts and characteristics, geometrical acoustics and their application to reflection problems and the diffraction of a pulse by a wedge, circular cylinder, sphere and other objects. The book will also be of interest to readers concerned with other aspects of wave propagation, such as electromagnetic waves.

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Preface
Introduction
Sound pulses
The equations of motion
The wave equation
The effect of body forces
Boundary conditions
Poisson's solution of the initial-value problem
Wave Fronts and Characteristics
Introduction
Space-time
Characteristics and geometrical optics
The uniqueness theorem: dependence and influence domains
Diffraction
Reflected fronts
Appendix: the characteristics containing a given 2-spacecaustics
Geometrical Acoustics
Introduction
Weak solutions of the wave equation
The propagation of discontinuities
The propagation of algebraic infinities
Geometrical acoustics
Geometrical acoustics in a homogenous medium
The transport equations of higher order
The superposition principle
Series expansions related to geometrical acoustics
Appendix: the focusing of acoustic shocks
The Application of Geometrical Acoustics to Reflexion Problems
Introduction
Reflexion of a plane pulse
Reflexion of a spherical pulse by a surface of revolution
Series expansion of a reflected pulse
Reflexion of a spherical pulse by a paraboloid
Series expansion of the reflected pulse
The refraction of a spherical pulse at a plane interface
Appendix: the reflexion of a spherical acoustic shock wave
The Diffraction of a Pulse by a Wedge
Introduction
The Green's function of the wedge
Construction of the Green's function
An alternative form of the Green's function
Diffraction of a plane pulse
The half-plane
Some diffraction problems related to the half-plane problem
Appendix: elementary solutions and Green's function
Some Other Diffraction Problems
Introduction
The Green's function of the circular cylinder
The eigenfunction expansion
The diffraction formulae
Diffraction of a plane pulse
The Green's function of the sphere
Approximate evaluation of the diffracted field
Geometrical optics in a stratified medium
Pulse diffraction in a stratified medium
Appendix: Asymptotic behaviour of the eigenvalues and eigenfunctions of the circular cylinder
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Sound Pulses

At a Glance

Paperback

Shipping

How to return your order

Defective items

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