基于波叠加法近场声全息的一种组合型射线波函数法

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摘要在传统基于波叠加法的近场声全息技术中，单极子等效源所辐射的球面形式波函数极易导致传递矩阵因强线性相关性而病态。利用指向性射线波函数替换球面波函数可使传递矩阵趋于主对角占优，有效提高重建稳定性。然而，以往的格林函数方向导数型射线波函数是一种指向性强度随着求导阶数离散变化的离散型射线波函数，无法得到针对不同重建模型的最优指向性强度，一定程度上影响了声场的重建精度和稳定性，甚至可能导致重建失败。针对该问题，本文构造了一种由0阶射线波函数和m阶射线波函数构成的组合型射线波函数，并结合辅助点法和遗传算法提出了一种选择组合参数的方法。最后，利用球面活塞声源、随机点声源以及简支板声源验证了组合型射线波函数在声场重建中的有效性。计算结果表明：由于组合型射线波函数可以通过组合参数灵活调节射线波函数的指向性强度，改善了离散型射线波函数的缺陷，其重建精度和稳定性均优于离散型射线波函数。而且，通过选择合适的组合参数，在离散型射线波函数完全失效的情况下，组合型射线波函数仍可获得较理想的重建结果。

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	陈岩豪1
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	石梓玉1
	向宇1
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	陆静1
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	王玉江1
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关键词 ：近场声全息, 波叠加法, 病态性, 组合型射线波函数

Abstract：In the traditional near-field acoustic holography technology based on the wave superposition method, the spherical wave function radiated by the monopole equivalent source can easily cause the transfer matrix to be ill-conditioned due to the strong linear correlation. By using the directional ray wave function to replace the spherical wave function, the transfer matrix tends to be dominate diagonally and the reconstruction stability is effectively improved. However, the existing directional derivative ray wave function of Green's function is a discrete function whose directivity varies with the order of derivation. It is impossible to obtain the optimal directivity for different reconstruction models, which affects the reconstruction accuracy and stability of the sound field to a certain extent, even leads to reconstruction failure. To solve this problem, a combined ray wave function composed of 0-order ray wave function and m-order ray wave function is constructed, and the method of selecting the combined parameter is also proposed by combining auxiliary point method and genetic algorithm. Finally, the effectiveness of the combined ray wave function in sound field reconstruction is verified by using spherical piston sound source 、random point sound source and simply supported plate sound source. The results show that, the reconstruction accuracy and stability of the combined ray wave function are better than those of discrete ray wave function. Since the combined ray wave function can flexibly adjust the directivity of ray wave function with different combining parameters, it improves the defect of discrete ray wave function. Moreover, by selecting appropriate combination parameters, the combination ray wave function can still obtain ideal reconstruction results when the discrete ray wave function is completely invalid.

Key words： Near-field acoustic holography Wave superposition method Reconstruction stability Combined ray wave function

收稿日期: 2021-03-24 出版日期: 2022-06-28

引用本文:

陈岩豪1,2，石梓玉1，向宇1,2，陆静1,2，王玉江1,2. 基于波叠加法近场声全息的一种组合型射线波函数法[J]. 振动与冲击, 2022, 41(12): 125-135.
CHEN Yanhao1,2，SHI Ziyu1，XIANG Yu1,2，LU Jing1,2，WANG Yujiang1,2. A combined ray wave function method for near-field acoustic holography based on the wave superposition method. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(12): 125-135.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I12/125

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