Scalar Wave Theory

This monograph introduces the mathematical techniques used to describe the scattering and propagation of scalar waves, in particular sound waves. The scalar wave equations and Green's functions are developed from fundamental principles and applied to a variety of common problems.

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This monograph is an introduction to the mathematical techniques used to describe the scattering and propagation of scalar waves, in particular sound waves. The scalar wave equations and Green's functions are developed from fundamental principles and applied to the following main problems: plane wave and spherical wave scattering from flat interfaces, and propagation in a two-layer liquid half-space (Pekeris waveguide). The detailed discussion facilitates extension of the techniques to real situations.