Abstract: Near-field holography based on wave superposition method (WSM) is used for reconstruction of sound field radiated by underwater structure. By theoretical deduction and numerical simulation, the effectiveness of reconstruction and the factors to affect reconstruction accuracy are analyzed by using a cylindrical shell model with spherical endcaps. Considering the situation of practical application, a cylinder holographic surface and two parallel plane holographic surfaces are used. The simulation results demonstrate that this method can be robustly applied to sound field reconstruction for whole wave number space. The accuracy is affected by the parameters of virtual source surface, holographic surface and SNR(signal / noise ratio). On the condition of noise measurement, the sound field can be reconstructed more accurately by using Tikhonov regularization method with L curve. Compared with other methods, WSM is better featuring less measurement points and quicker calculation speed, and promising in application.

Key words: acoustics , cylindrical shell , WSM , sound field reconstruction , numerical simulation

摘要： 将声全息技术应用到水下结构的声场重建问题中。通过理论推导和数值仿真,分析一两端带半球帽的圆柱壳模型在不同激励作用下声场的重建效果及影响重建精度的因素。考虑到实际应用，全息面分别采用柱形全息面和平行的双平面全息面。仿真结果表明，该方法是一种稳健的全波数空间声场重构技术;其重建精度受到等效源面参数、全息面参数及测量环境信噪比等多因素的影响;在含有测量噪声的条件下，应用Tikhonov结合L曲线的正则化方法仍可以较精确地重构声场;相比于其它方法,波叠加方法具有测点少,计算速度快等优点,有很好的应用前景。

关键词: 声学, 圆柱壳, 波叠加法, 声场重构, 数值仿真