The directivity of acoustic vector sensor can be distorted by the sound diffraction wave of baffle.
According to Helmholtz integral equation, the directivity of acoustic vector sensor under the condition of finite
cylinder baffle is calculated by using boundary element method (BEM). Considering the problem of nearly singular
integrals of BEM, the exponent parts of fundamental solutions are expanded in trigonometric functions. The
singular and the nonsingular parts are separated: the nonsingular parts are calculated by Gaussian integral
method; the singular parts are regularized by subsection integral method. Then the surface integrals are reduced
into line integrals along the elements’ contour which can be calculated by Gaussian integral method. The sound
diffraction field of a plane wave under the condition of finite cylinder baffle at different frequencies and incident
angles is calculated, and the characteristics of directivity of pressure and vibration velocity at different frequencies
are analyzed. The experimental data are treated and the errors between the experimental and theoretical results
are analyzed. Finally, according to the research results about the influences on the directivity of acoustic vector
sensor by baffle at present, some future prospects about eliminating the effects of sound diffraction field by baffle
are presented.
JI Jian-fei (嵇建飞), LIANG Guo-long (梁国龙), PANG Fu-bin (庞福斌), ZHANG Guang-pu (张光普)
. Influences on the Spatial Directivity of Acoustic Vector Sensor by
Finite Cylinder Baffle and Future Prospects About
Eliminating the Effects[J]. Journal of Shanghai Jiaotong University(Science), 2012
, 17(4)
: 436
-446
.
DOI: 10.1007/s12204-012-1302-0
[1] Malcolm H, Arye N. Acoustic vector sensor processing in the presence of a reflecting boundary [J]. IEEE
Transactions on Signal Processing, 2000, 48(11): 2981-2993.
[2] Sun Gui-qing, Li Qi-hu, Yang Xiu-ting, et al. A novel fiber optic hydrophone and vector hydrophone
[J]. Physics, 2008, 35(8): 645-655 (in Chinese).
[3] Jia Zhi-fu. Novel sensor technology for comprehensive underwater acoustic information-vector hydrophones
and their applications [J]. Physics, 2009, 38(3): 157-168 (in Chinese).
[4] Kosobrodov R A, Nekrasov V N. Effect of the diffraction of sound by the carrier of hydroacoustic
equipment on the results of measurements [J]. Acoustical Physics, 2001, 47(3): 382-388.
[5] Shi Sheng-guo, Yang De-sen, Wang San-de. Influences of sound diffraction by elastic spherical shell
on acoustic vector sensor measurement [J]. Journal of Harbin Engineering University, 2006, 27(1): 84-89 (in Chinese).
[6] Shi Sheng-guo. Research on vector hydrophone and its application for underwater platform [D]. Harbin, China: College of Underwater Acoustic Engineering,
Harbin Engineering University, 2006 (in Chinese).
[7] Shi Sheng-guo, Yang De-sen. Influences of sound scattering by elastic spherical shell on DOA estimation performance
of vector hydrophone [J]. Technical Acoustics, 2008, 27(5): 642-648 (in Chinese).
[8] Barton J P, Nicholas L W, Zhang H F, et al.Nearfield calculations for a rigid spheroid with an arbitrary
incident acoustic field [J]. Journal of the Acoustical Society of America, 2003, 113(3): 1216-1222.
[9] Rapids B R, Lauchle G C. Vector intensity field scattered by a rigid prolate spheroid [J]. Journal of the
Acoustical Society of America, 2006, 120(1): 38-48.
[10] Rapids B R, Lauchle G C. Processing of forward scattered acoustic fields with intensity sensors
[C]//Oceans 2002 Conference. Mississippi, USA: IEEE, 2002: 1911-1914.
[11] Roumeliotis J A, Kotsis A D, Kolezas G. Acoustic scattering by an impenetrable spheroid [J]. Acoustical
Physics, 2007, 53(4): 436-447.
[12] Sheng Xue-li, Guo Long-xiang, Liang Guo-long. Study on the directivity of the vector sensor with
spherical soft baffle plate [J]. Technical Acoustics, 2002,21: 56-60 (in Chinese).
[13] Li Chun-xu. Combined signal processing technology with acoustic pressure and particle velocity [D].
Harbin, China: College of Underwater Acoustic Engineering, Harbin Engineering University, 2000 (in Chinese).
[14] Ji Jian-fei, Liang Guo-long, Wang Yan, et al. Influences of prolate spheroidal baffle of sound diffraction
on spatial directivity of acoustic vector sensor [J]. SCIENCE CHINA Technological Sciences, 2010, 53(10):2846-2852.
[15] Ji Jian-fei, Liang Guo-long, Liu Kai. Influences of soft prolate spheroidal baffle on directivity of acoustic
vector sensor [C]// 2010 IEEE International Conference on Information and Automation. Harbin, China: IEEE, 2010: 650-654.
[16] Ji Jian-fei, Liang Guo-long, Huang Yu-lin, et al. Influences on spatial directivity of acoustic vector sensor
by soft spherical boundary [C]//2010 International Conference on Computational and Information Sciences.
Chengdu, China: IEEE, 2010: 794-800.
[17] Ji Jian-fei, Liang Guo-long, Zhang Guang-pu, et al. Influences on the directivity of acoustic vector sensor
by soft cylinder baffle [J]. Communications in Computer and Information Science, 2011, 135: 291-295.
[18] Peter R J, David E. Transformations for evaluating singular boundary element integrals [J]. Journal of
Computational and Applied Mathematics, 2002, 146:231-251.
[19] Ma H, Kamiya N. A general algorithm for the numerical evaluation of nearly singular boundary integrals of
various orders for two and three dimensional elasticity [J]. Computational Mechanics, 2002, 29: 277-288.
[20] Hu Zong-jun, Niu Zhong-rong, Cheng Chang-zheng, et al. Regularization of nearly singular integrals in the
boundary element for three dimensional acoustic problems [J]. Journal of University of Science and Technology
of China, 2009, 39(6): 639-644 (in Chinese).
[21] Zhuo Lin-kai, Fan Jun, Tang Wei-lin. Analyzing acoustic scattering of elastic objects using coupled
FEM-BEM technique [J]. Journal of Shanghai Jiaotong University, 2009, 43(8): 1257-1261 (in Chinese).
[22] He Zhuo-yong, Zhao Yu-fang. Theory foundation of acoustic [M]. Beijing, China: National Defense Industry Press, 1981 (in Chinese).
[23] Yu Fei, Chen Jian, Li Wei-bing, et al. Sound field separation technique and its applications in near-field
acoustic holography [J]. Acta Physica Sinica, 2005,54(2): 789-797 (in Chinese).
[24] Li Wei-bing, Lian Mei-zhuan, Bi Chuan-xing, et al. Separation theory of the incident and scattered sound
fields in spherical coordinate [J]. SCIENCE CHINA Technological Sciences, 2007, 50(3): 361-370.
[25] Li Wei-bing, Lian Mei-zhuan, Bi Chuan-xing, et al. Separation theory of the incident and scattered sound
fields in spherical coordinate [J]. SCIENCE CHINA Technological Sciences, 2007, 37(1): 99-106 (in Chinese).
[26] Bi Chuan-xing, Zhang Yong-bin, Xu Ling, et al. An experimental investigation of planar near field acoustic
holography using pressure and particle velocity measurements [J]. Acta Physica Sinica, 2010, 59(2): 1108-1116.
[27] Zhang Yong-bin, Xu Ling, Bi Chuan-xing, et al. Sound field separation technique based on single surface
measurement using pressure-velocity transducers[J]. Acta Physica Sinica, 2009, 58(12): 8364-8372.
[28] Li Wei-bing, Chen Jian, Yu Fei, et al. The principle of statistically optimal planar near-field acoustical
holography and the sound field separation technique[J]. Acta Physica Sinica, 2005, 54(3): 1253-1261.
