Symmetry relations and decomposition for the mild-slope equation
The reflection and transmission coefficients arising from the scattering of linear water waves by a one-dimensional topography are known to possess certain symmetry properties. In this paper it is shown that the same relations hold in the mild-slope approximation to the full linear theory. These relations are used in the development of a decomposition method where solutions for relatively simple depth profiles may be combined to give solutions for more complicated ones. The use of the decomposition method provides explicit error bounds in cases where they were previously unavailable.
reflection and transmission coefficients
scientific article; zbMATH DE number 763509
scientific article