Abstract
An exact theoretical model for the interaction between an acoustic plane wave and a stationary internal wave of a two-layer fluid is presented. Weber's two-dimensional analog of Helmholtz's integral formula is employed to represent the scattered and the transmitted acoustic fields. The boundary velocity potentials and their normal derivatives are expanded into complex Fourier series. The complex boundary Fourier coefficients are related by a pair of simultaneous, doubly infinite algebraic equations. Generalized Rayleigh scattering and transmission coefficients are found and exact expressions for the acoustic velocity potentials for the scattered and transmitted fields are given. The principal features of this development are its wide applicability to internal waves of arbitrary amplitude and wavelength and to strongly as well as weakly stratified liquids.
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