Abstract：The wide variety of acoustic holography algorithms and the requirements of different applications, the three algorithms based on Fourier transform, statistically optimized and equivalent source model are analyzed by combining finite element simulation and numerical simulation. The influence of source frequency, reconstruction distance, sampling distance and regularization methods on reconstruction accuracy are found, and their computational efficiency is compared. Experiments are carried out in open water. The results show that: with the sound source frequency and the reconstruction distance increases, the number of sampling points decreases, the reconstruction accuracy decreases gradually. In the low frequency region, the statistical optimal near-field acoustic holography combined with L-curve regularization method has the best sound field reconstruction effect; the acoustic holography reconstruction based on equivalent source method has the highest accuracy, but it is easy to produce virtual images; the acoustic holography algorithm based on Fourier transform is seriously affected by the reconstruction distance, but the reconstruction speed is excellent, and the sound source positioning is accurate.
［1］Williams E G, Maynard J.Holographic imaging without the wavelength resolution limit ［J］. Phys Rev Lett, 1980, 45 (7): 554-557.
［2］Maynard J D, Williams E G, Lee Y.Nearfield acoustic holography: i. theory of generalized holography and the development of nah ［J］. J Acoust Soc Am, 1985, 78: 1395-1413.
［3］Williams E G. Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography［M］. New York: Academic Press, 1999.
［4］Arteaga I L, Scholte R, Nijmeijer H. Improved source reconstruction in Fourier-based Near-field Acoustic Holo-graphy applied to small apertures ［J］. Mechanical Systems and Signal Processing, 2012, 32: 359-373.
［5］姬庆, 程锦房, 肖大为.基于不同格林函数的噪声源定位方法研究 ［J］. 压电与声光, 2017, 39 (3): 378-382.
Ji Q, Cheng J F, Xiao D W. Research on method of the noise source localization based on different green function ［J］. piezoelectrics & acoustooptics, 2017, 39 (3): 378-382.
［6］Jiang L X, Xiao Y H, Zou G P. Data exten-sion near-field acoustic holography based on improved regularization method for resolution enhancement ［J］. Applied Acoustics, 2019, 156: 128-141.
［7］郭世旭, 郝振宇, 郑慧峰, 等.基于近场声全息的高频换能器阵列声场测量方法 ［J］. 计量学报, 2019, 40 (3): 477-480.
Guo S X, Hao Z Y, Zheng H F, et al. High-frequency Transducer Array Sound Field Measurement Method Ba-sed on Near-field Acoustic Holography ［J］. Acta Metrologica Sinica, 2019, 40 (3): 477-480.
［8］Pereira A, Leclere Q. Noise source identification in a vehicle cabin using an iterative weighted approach to the ESM method ［C］//International Conference on Noise and Vibration Engineering, 2012, 5: 3607-3616.
［9］王成, 郑慧峰, 王月兵, 等.基于近场测量法的水声换能器声场重建方法研究 ［J］. 计量学报, 2016, 37 (5): 520- 524.
Wang C, Zheng H F, Wang Y B, et al. Study on sound field reconstruction method of underwater acoustic transducer based on near-field measurement method ［J］. Acta Metrologicala Sinica, 2016, 37 (5): 520-524.
［10］陶文俊, 郑明辉.基于等效源法的近场声全息的噪声源识别与定位研究 ［J］. 计算机与数字工程, 2019, 47 (7): 1672-1677.
Tao W J, Zheng M H. Identification and Localization of Noise Source Based on Compressed Sensing and Equiv-alent Source Nearfield Acoustic Holography ［J］. Com-puter & Digital Engineering, 2019, 47 (7): 1672-1677.
［11］陈汉涛, 郭文勇, 韩江桂, 等.船舶机舱内高频弱声源近场声全息方法 ［J］. 舰船科学技术, 2019, 41 (21): 138-143, 147.
Chen H T, Guo W Y, Han J G, et al. Near-field acoustic holography method for high frequency weak sound source in ship cabin ［J］. Ship Science and Technology, 2019, 41 (21): 138-143, 147.
［12］张永斌, 毕传兴, 张小正.统计最优近场声全息重建精度和计算速度优化方法 ［J］. 声学学报, 2014, 39 (2): 191-198.
Zhang Y B, Bi C X, Zhang X Z. The method for improving the reconstruction accuracy and computational speed of the statistically optimized nearfield acoustic holography ［J］. Acta Acustica, 2014, 39 (2): 191-198.
［13］赵报川, 杨涛, 张进.基于改进统计最优近场声全息的空间多种声源声场重建 ［J］. 声学技术, 2017, 36 (3): 203-209.
Zhao B C, Yang T, Zhang J. Sound field reconstruction of multi-types of spatially sources by improved statistically optimized near-field acoustical holography ［J］. Technical Acoustics, 2017, 36 (3): 203-209.
［14］赵报川, 杨涛, 赵永峰.采用振速测量的改进统计最优近场声全息方法 ［J］. 应用声学, 2017, 36 (5): 445-454.
Zhao B C, Yang T, Zhao Y F. Improved statistically optimal nearfield acoustical holography base on particle velocity measurement ［J］. Journal of Applied Acoustics, 2017, 36 (5): 445-454.
［15］熊久鹏, 王月兵, 赵鹏.一种高频换能器的声场推算方法 ［J］. 计量学报, 2018, 39 (6): 884-887.
Xiong J P, Wang Y B, Zhao P. A method for estimating sound field of high frequency transducer ［J］. Acta Metrologica Sinica, 2018, 39 (6): 884-887.
［16］平国力.等效源法近场声全息求解算法研究［D］.重庆: 重庆大学, 2016.
［17］刘凯, 张春良, 岳夏.基于统计最优的近场声全息理论与仿真实验 ［J］. 机械工程与自动化, 2014, (1): 15-17.
Liu K, Zhang C L, Yue X. Near field acoustic holography theory and simulation experiment based on statistical optimization ［J］. Mechanical Engineering & Automation, 2014, (1): 15-17.
2021, Vol. 42 
