ANALYSIS OF EVANESCENT WAVES OF LINEARIZED MULTI-LEVEL WAVE EQUATIONS

Abstract

To confirm the applicability of multi-level wave model for linear scattering problem in step-like bathymetry analytically, characteristics of the eigenvectors obtained from dispersion relation of model equations were investigated. In the case of equally divided layers, the shape of the eigenvectors turned out to converge to that of the small amplitude wave theory, by the increasing number of layers. Although the eigenvectors of non-uniformly divided layers do not converge to that of the small amplitude wave theory, the results of scattering analysis with the eigenvectors have shown sufficient accuracy in the transmission and reflection coefficients.