中文摘要：

基于线性势流理论,推导了无限水深中波浪在半球上绕射问题的解析解.给出了球坐标系下无限水深入射波速度势的表达式;利用多极子展开法,以包含未知系数和连带勒让德函数的无限序列的形式给出了流场中绕射速度势的表达式;通过物面边界条件建立了方程组,进而求解了未知系数.计算了作用在半球上总的波浪激励力,并通过与利用Haskind关系得到的结果以及他人的数值结果进行比较,验证了文中结果的正确性.

英文摘要：

Based on the linear potential theory, an analytical solution is presented to study the diffraction problem of a hemisphere on the surface of water with infinite depth. The incident wave potential in the spherical coordinate system was proposed and the method of multipole expansion was employed to obtain the diffraction wave potential in the form of infinite series of the associated Legendre functions with the un- known coefficients which could he determined by solving a set of linear equations from the body boundary condition. The wave exciting force acting on the hemisphere was calculated and the results were compared with those from the Haskind relationship and some numerical results from the published literature.