Scattering of long waves over a submerged step

摘要

Scattering and trapping of the higher order free long waves over a submerged step are investigated. As incident waves, two wave components with slightly different frequencies and obliquely incident angles to the step are considered. The forced waves and the free long waves are obtained up to the second order of the perturbation method. Applicability of these solutions are investigated. It is found that depending on the wave and the step conditions, the free long waves of the progressive mode can not exist in the deeper region but can exist in the shallower region.