浅海硬障碍物声波的反散射问题

The Inverse Acoustic Scattering Problem of Sound-hard Obstacle in Three Dimensional Shallow Ocean

研究三维浅海硬障碍物声波的反散射问题 ,其中假设浅海海面是自由释放边界 ,海底是绝对硬的 ,障碍物边界也是绝对硬的 .这一反散射问题归结为外Neumann边界值问题 ,进而转化为一个边界积分方程 .通过对反散射唯一性问题的研究 ,给出了唯一性定理的证明 .

The inverse acoustic scattering of sound-hard obstacle in three dimensional shallow ocean with free surface and rigid bottom is studied. This inverse acoustic scattering problem can be reduced to the boundary integral equation. The theorem of uniqueness of inverse acoustic scattering is proved.