Problems of water wave propagation over an infinite step in the presence of a thin vertical barrier of four different geometrical configurations are investigated in this paper. For each configuration of the barrier, the problem is reduced to solving an integral equation or a coupled integral equation of first kind involving horizontal component of velocity below or above the barrier and above the step. The integral equations are solved employing Galerkin approximation in terms of simple polynomials multiplied by appropriate weight functions whose forms are dictated by the edge conditions at the corner of the step and at the submerged end(s) of the barrier. The reflection and transmission coefficients are then computed and depicted graphically against the wave number.

本文研究了在四种不同几何构型的薄垂直屏障存在下，水波在无限步长上传播的问题。对于屏障的每种配置，问题被简化为求解第一类积分方程或耦合的积分方程，该方程涉及在屏障以下或之上以及在台阶上方的水平速度分量。使用简单多项式乘以适当的权函数，用Galerkin逼近来求解积分方程，权函数的形式由台阶拐角处和障碍物浸入端的边缘条件决定。然后计算反射系数和透射系数，并根据波数进行图形化描绘。