Abstract
A further development of the matrix formalism suggested by W. T. Thompson in 1950 has been used to calculate the complex transfer function and reflection coefficient from a multilayered general sea floor, taking both compressional and shear waves and their damping into account. The method is used to calculate reflection-loss isolines for models with up to three general layers. The results are given in terms of the angle of incidence and of the wavenumber. The influence of shear waves and their damping has been investigated using a two-layer model and several wavenumbers. The theory of linear systems combined with numerical Fourier transformation and inversion is used to obtain the shape of a general pressure pulse after its reflection from a general multilayered sea floor. The method is used to calculate the reflected shape of both the shock and bubble pulses after reflection from models with up to three layers.
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