Non-Self-Conjugate Model Formulation of the Pekeris Boundary Problem

摘要

The theory of wave processes in layered media developed in classical works [1-3] is based on the solution of the key boundary problem of hydroacous-tic science formulated and solved by Pekeris in [1] for the system: homogeneous fluid layer-homogeneous fluid half-space. A characteristic peculiarity of the model formulation suggested in [1-3] is the fact that boundary conditions at the interface waveguide-half-space are formulated as identical conditions of continuity by pressure and normal components of the oscillation velocity with respect to the horizontal coordinate (local conditions of (p, v_z) continuity), while the model formulation appears self-conjugate.