Abstract
Linear water wave theory is used for surface waves obliquely incident on a thin vertical wall in which there is an infinitely long submerged horizontal slot in deep water. The problem is reduced to an integral equation (IE) of the first kind over the slot. Assuming that the depth of submergence of the midsection of the slot is large compared to its breadth, a simple approximate solution to the IE is found, leading to an approximation for the transmission coefficient. A particular limiting case for the transmission coefficient is shown to produce the known result. The transmission coefficient is then evaluated numerically for various parameters and these are presented in the form of graphs.
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