Paper Title
Step Approximation for Oblique Water Wave Scattering by Thin Barriers over Uneven Bottoms

Abstract
In this study, the oblique water wave interactions with thin rigid barriers over uneven bottom are examined to determine the reflection and transmission coefficients. The combination of surface-piercing and bottom standing barrier is considered. The solutions for these water wave problems are obtained by utilizing the eigenfunction matching method (EMM). In the step approximation, the bottom profiles are sliced into separate shelves. For each abrupt shelf, the solution is composed of eigenfunctions with unknown coefficients representing the wave amplitudes. Upon applying the EMM method, surface water wave scattering including reflection and transmission coefficients are evaluated through solving a sparse-matrix solver which combined of numerous of linear equations. The accuracy of the solution is demonstrated by comparing the numerical values for the reflection and transmission coefficient with those in the literature. Keywords - Water Wave Scattering, Thin Vertical Barrier, Rigid Barrier, Reflection and Transmission Coefficients, Oblique Wave, Step-Type Bottom