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在提出球面波源概念的基础上,建立了完备的基于球面波源叠加法的近场声全息理论,其中包括展开系数的重构、声场的预测、误差敏感性分析、正则化处理以及提出的一种最优球面波源展开项数的选取方法——双面测量遍历法;随后简要地介绍了球面波源边界点法及其实现近场声全息的过程.考虑到上述两种近场声全息实现方法之间具有很大的相似性,对两者进行了比较研究,通过严格的数学证明以及对半自由声场中单源和多源声场的实验研究,阐明了它们之间的异同点,并论证了球面波源边界点法作为声全息变换算法的优越性.
Based on the concept of spherical wave source, a complete near-field acoustic holography based on the superposition of spherical wave source is established, including reconstruction of expansion coefficient, prediction of sound field, error sensitivity analysis, regularization processing and a The method of choosing the optimal spherical wave source to expand the number of items - double-sided measurement traversal method; followed by a brief introduction of the spherical wave source boundary point method and its realization of near-field acoustic holography. Considering the above two methods of near-field acoustic holography Have a lot of similarities between the two, a comparative study of the two, through rigorous mathematical proofs and experimental study of single source and multi-source sound field in semi-free sound field, clarify the similarities and differences between them, and demonstrate the spherical Wave source boundary point method as the superiority of acoustic holographic transform algorithm.