Chapter 2. Elementary Solutionsand Basic Acoustic Quantities
Take care of the sense and the soundswill take care of themselves.Lewis Carroll, 1865
A number of the fundamental concepts associated with wave propagation emerge when we examine elementary solutions to the acoustic wave equation in homogeneous media with no boundaries or sources. One-dimensional solutions are of particular interest because of their (sometimes deceptive) simplicity. Two- and three-dimensional solutions suggest the notions of cylindrical and spherical waves. In all three cases, the importance of plane-wave, Fourier decompositions of the wave fields is clearly evident. Elementary solutions also provide illustrative examples of basic acoustic quantities ...