ABSTRACT
This chapter discusses the analyses based on the Green's function approach and underpin many software tools that are used by practitioners to make such predictions. It introduces acoustical Green's functions for sound propagation in an acoustic medium, structural Green's functions for propagation of waves in structures and radiation Green's functions for sound radiation from vibrating structures. The Green's function technique is a convenient approach to analysing sound radiation and propagation problems, whether sound radiation by a structure into free space is considered or whether sound transmission through a structure into an enclosed space is of interest. The chapter introduces Green's theorem which is a special case of Gauss's theorem and relates an area integral to a volume integral. A wavenumber transform essentially transforms a quantity expressed as a function of spatial coordinates into a quantity expressed as a function of wavenumber variables; the inverse transform does vice versa.
