A combined ray wave function method for near-field acoustic holography based on the wave superposition method

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (12) : 125-135.

CHEN Yanhao1,2，SHI Ziyu1，XIANG Yu1,2，LU Jing1,2，WANG Yujiang1,2

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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.

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Near-field acoustic holography / Wave superposition method / Reconstruction stability / Combined ray wave function

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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[J]. Journal of Vibration and Shock, 2022, 41(12): 125-135

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