空间声场全息重建的波叠加方法研究

提出了基于波叠加法的近场声场全息技术，并将其用于任意形状物体的声辐射分析.在声辐射计算问题中，边界元法是通过离散边界面上的声学和位置变量来实现，而波叠加方法则通过叠加辐射体内部若干个简单源产生的声场来完成.因而，基于波叠加法的声全息就不存在边界面上的参数插值和奇异积分等问题，而这些问题是基于边界元法的声全息所固有的.与基于边界元法的声全息相比较，基于波叠加法的声全息在原理上更易于理解，在计算机上更容易实现.实验结果表明：该种全息技术在重建声场时，具有令人满意的重建精度. 关键词： 声全息 逆问题 波叠加方法 正则化方法

Investigation on holographic reconstruction of sound field using wave superposition approach

Near field acoustic holography (NAH) based on wave superposition approach (WSA) is proposed and applied to radiation analysis of sound sources with arbitrarily shaped surface. In problem of calculating acoustic radiation, boundary element method (BEM) is realized by discretizing acoustic and position variables on the boundary surface, while WSA is accomplished by superposing wave fields generated by simple sources interior to the radiator. Therefore, there are no problems such as parameters interpolation, singular integration etc. in WSA based acoustic holography, which are inherent to BEM based NAH. The principle of WSA based acoustic holography is easier to understand, and it is more amiable to implement on the computer. The results of the experiment show that satisfactory precision has been obtained in the reconstruction of sound field using WSA based acoustic holography.