海底反射损失的一种反演方法

本文以浅海平滑平均声场理论为基础,提出一种由传播衰减反演海底反射损失的方法.我们用一组参数来分段线性表示海底反射损失,要求计算的与测量得到的传播衰减之间的均方误差最小.文中采用Gauss-Newton迭代法将问题分解为一系列线性最小二乘问题,利用Levenberg-Marquardt方法改善了解的稳定性.最后列举了计算机模拟与反演实例,表明本方法可获得满意的结果。

An inverse method for obtaining bottom reflection loss

A method for the inversion of transmission losses for the bottom reflection loss is proposed on the basis of the theory of the smooth-averaged sound field. The unknown bottom reflection loss is parametrized in terms of linear interpolation. The procedure of the inversion bases on the criterion of the least square error in transmission losses between calculating and measuring. By using the Gauss-Newton iterative approach, the use of non-linear least square algorithm is equivalent to solving a sequence of linearized least square problems. The physical causes of instability of the inverse problem are discussed and the stability is improved by means of the Levenberg-Marquardt method. The applicability of the inverse method is demonstrated in some numerical and experimental examples.