Abstract
When either the velocity or the pressure is specified on the surface of an acoustic source, there is an appropriate Green's function that can be used to describe the radiated pressure field of the source. It is demonstrated how to construct an analytic expression for each of these two Green's functions for a source having an arbitrary shape. The distribution of velocity or of pressure need not be uniform on the source surface. The resulting Green's functions, which are expressed in terms of the geometry of the source and the free‐space Green's function for the Helmholtz equation, are calculable, in principle, by performing a series of elementary mathematical operations. An iterative‐operator technique, based upon the Neumann‐series method for solving linear integral equations, is used to construct the Green's functions.
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