Plane Waves
2.1 Introduction
In this chapter we present the foundations of Fourier acoustics-plane wave expansions. This material is presented in depth to provide a firm foundation for the rest of the book, introducing important concepts like wavenumber space and the extrapolation of wavefields from one surface to another. Fourier acoustics is used to derive some famous tools for the radiation from planar sources: the Rayleigh integrals, the Ewald sphere construction of farfield radiation, the first product theorem for arrays, vibrating plate radiation, and radiation classification theory. Finally, a new tool called supersonic intensity is introduced which is useful in locating acoustic sources on vibrating structures. We begin the ...
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