Tan Dayi, Chu Zhigang, Wu Guijiao
State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, People's Republic of
AECC Hunan Aviation Powerplant Research Institute, Zhuzhou 412002, People's Republic of
J Acoust Soc Am. 2019 Jul;146(1):EL34. doi: 10.1121/1.5116333.
The core of equivalent source method based near-field acoustic holography is to solve the equivalent source strength with the measured pressure and the transfer matrix, which is a typical ill-posed inverse problem. In this work, an explicit formula is proposed in which the regularization parameter is proportional to the product of the hologram distance and the maximum singular value of the transfer matrix. Utilizing the proposed approach, robust acoustic field reconstruction can be achieved even when the hologram distance is 5 times larger than the average microphone spacing.
基于等效源法的近场声全息技术的核心是利用测量压力和传递矩阵求解等效源强度，这是一个典型的不适定逆问题。在这项工作中，提出了一个显式公式，其中正则化参数与全息图距离和传递矩阵最大奇异值的乘积成正比。利用所提出的方法，即使全息图距离比平均传声器间距大5倍，也能实现稳健的声场重建。
