A Review of Research on the Acoustic Scattering Characteristics of Small Underwater Targets
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摘要: 水下小目标声散射特性研究是主动声呐目标探测、识别与水下安防应用的核心物理基础, 在近岸安防、反水雷和水下工程探测等领域应用价值显著。文章针对蛙人及其推进器、无人水下航行器(UUV)和水雷3类典型水下小目标, 系统综述其理论建模、试验测量及工程应用研究进展。首先, 结合归一化尺寸参数及目标功能属性界定研究范围, 概述不同散射区间基本特征; 随后, 梳理3类小目标在理论建模、试验及应用方面的代表性研究。研究表明: 蛙人目标具有显著的多部件耦合散射与时变调制特征, 呼吸气泡、肺部腔体和潜水装备是主要散射贡献源; UUV散射受壳体结构、舱段充水状态及附体多重散射效应影响显著; 掩埋水雷回波则受目标弹性、界面波传播与沉积层耦合作用共同控制。当前研究仍存在复杂海洋环境下目标散射与传播耦合机理认识不足、宽频带散射预报精度与效率难以兼顾、散射机理与数据驱动识别结合不深入以及复杂外场条件下试验验证有限等问题。文中研究可为水下小目标声散射机理研究及探测应用提供参考。Abstract: Research on the acoustic scattering characteristics of small underwater targets provides a fundamental physical basis for active sonar target detection, identification, and security applications, and has significant application value in shallow-water security, mine countermeasures, and underwater engineering detection. This paper reviews the progress in theoretical modeling, experimental measurements, and engineering applications for three representative classes of small underwater targets: divers and their propulsion devices, unmanned underwater vehicles, and mines. First, the scope of the review is defined by combining the normalized size parameter with the functional attributes of the targets, and the fundamental features of different scattering regions are outlined. Then, representative studies on the modeling, experiments, and applications of these three types of targets are systematically summarized. Research indicates that diver targets exhibit significant multi-component coupling and time-varying modulation characteristics, with exhaled bubbles, the lungs, and diving equipment serving as the main contributors to acoustic scattering. The scattering of unmanned underwater vehicles is greatly affected by hull structures, the flooding state of internal compartments, and multiple scattering from appendages. Echoes from targets such as buried mines are jointly governed by target elasticity, interface propagation, and coupling with sediment layers. Current research still faces several challenges, including insufficient understanding of target scattering–propagation coupling mechanisms in complex marine environments, the difficulty of balancing accuracy and efficiency in broadband scattering prediction, inadequate integration of scattering mechanisms with data-driven recognition, and limited experimental validation under complex field conditions. This review is expected to provide a reference for understanding the acoustic scattering mechanisms of small underwater targets and for improving their sonar detection and recognition.
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表 1 典型水下小目标尺度、频段及主要散射区间
Table 1. Typical dimensions, frequency bands, and dominant scattering regimes of representative small underwater targets
目标
类型典型尺度 代表性测量频段 主要散射区间 蛙人 等效圆柱模型: 长度1.0 m, 半径0.125 m;
精确模型: 2.0 m×0.76 m×0.67 m[3-4]60~100 kHz[5] 高频/几何散射区为主, 局部叠加含气结构
共振与运动调制DPV 典型设计模型: 2.0 m×0.7 m×0.7 m[6] 20~40 kHz[7] 高频/几何散射区, 局部亮点响应明显 UUV
(小/中型)小型直径76~254 mm;
中型直径254~533 mm[8]40~120 kHz[9] 共振/过渡散射区至高频/几何散射区 水雷 直径0.46~1.2 m, 长度3.2 m[10] 裸露/沉底目标: 100~500 kHz;
掩埋目标: 2~15 kHz、5~35 kHz[11-15]高频条件下以几何散射为主; 低中频条件下
弹性散射、共振/过渡散射和界面耦合显著 -
[1] Xu T, Jia H, Qin J. Cluster-driven non-uniform characteristic analysis of underwater target acoustic scattering field[J]. Frontiers in Physics, 2025, 13: 1541799. doi: 10.3389/fphy.2025.1541799 [2] 夏峙, 李秀坤. 水下目标弹性声散射信号分离[J]. 物理学报, 2015, 64(9): 357-365. doi: 10.7498/aps.64.094302Xia S, Li X K. Separation of elasto acoustic scattering of underwater target[J]. Acta Physica Sinica, 2015, 64(9): 357-365. doi: 10.7498/aps.64.094302 [3] Sarangapani S, Miller J H, Potty G R, et al. Measurements and modeling of the target strength of divers[C]//Europe Oceans 2005. IEEE, 2005, 2: 952-956. [4] Yang T, Tong Y, Fan X. Simulation Study on Acoustic Scattering Characteristics of a SCUBA Diver[C]//2021 OES China Ocean Acoustics (COA), 2021: 91-94. [5] 孙玉臣, 陈维义, 王平波, 等. 蛙人水下声信号特征研究综述[J]. 声学技术, 2022, 41(4): 479-488. doi: 10.16300/j.cnki.1000-3630.2022.04.001Sun Y C, Chen W Y, Wang P B, et al. Review of research on the characteristics of underwater acoustic signal of frogman[J]. Technical Acoustics, 2022, 41(4): 479-488. doi: 10.16300/j.cnki.1000-3630.2022.04.001 [6] Sadeghizadeh M R, Saranjam B, Kamali R. Optimization of a diver propulsion vehicle hydrodynamics parameter and its shape improvement by CFD method for improving underwater speed record[J]. Journal of Applied Fluid Mechanics, 2017, 10(5): 1319-1328. doi: 10.18869/acadpub.jafm.73.242.27523 [7] 黎洁, 范军, 李兵. 蛙人推进器声散射特性研究[J]. 水下无人系统学报, 2022, 30(6): 733-739. doi: 10.11993/j.issn.2096-3920.2022-0026Li J, Fan J, Li B. Acoustic Scattering Characteristics of a Diver Propulsion Vehicle[J]. Journal of Unmanned Undersea Systems, 2022, 30(6): 733-739. doi: 10.11993/j.issn.2096-3920.2022-0026 [8] 孙彧, 潘宣宏, 王幸军, 等. 无人潜航器装备技术发展及作战运用研究[J]. 舰船科学技术, 2023, 45(21): 104-109.Sun Y, Pan X H, Wang X J, et al. Research on unmanned underwater vehicle technology development and combat application[J]. Ship Science and Technology, 2023, 45(21): 104-109. [9] 刘博. 微小型无人潜航器典型结构声散射特性研究[D]. 上海: 上海交通大学, 2020. [10] Department of the Navy. Mine identification manual: OP 898[R]. 1943-10-01. [11] BJØRNØ L. Applied underwater acoustics[M]. Amsterdam: Elsevier, 2017. [12] Tesei A, Maguer A, Fox W L J. Measurements and modeling of acoustic scattering from partially and completely buried spherical shells[J]. The Journal of the Acoustical Society of America, 2002, 112(5): 1817-1830. doi: 10.1121/1.1509425 [13] Chotiros N P, Mautner A M, Lovik A, et al. Acoustic penetration of a silty sand sediment in the 1-10 kHz band[J]. IEEE Journal of Oceanic Engineering, 1997, 22(4): 604-615. doi: 10.1109/48.650827 [14] Zheng Y, Yu S Q, Qin Z L, et al. Acoustic backscattering from a fine sand seabed at 12-24 kHz in the South Yellow Sea of China[J]. The Journal of the Acoustical Society of America, 2026, 159(3): 1852-1862. doi: 10.1121/10.0042813 [15] Bevans D A, Buckingham M J. Estimating the sound speed of a shallow-water marine sediment from the head wave excited by a low-flying helicopter[J]. The Journal of the Acoustical Society of America, 2017, 142(4): 2273-2287. doi: 10.1121/1.5007953 [16] Zou S, Wang X, Yuan T, et al. Underwater moving target detection using online robust principal component analysis and multimodal anomaly detection[J]. The Journal of the Acoustical Society of America, 2025, 157(1): 122-136. doi: 10.1121/10.0034831 [17] 潘光, 宋保维, 黄桥高, 等. 水下无人系统发展现状及其关键技术[J]. 水下无人系统学报, 2017, 25(2): 44-51.Pan G, Song B W, Huang Q G, et al. Development and key techniques of unmanned undersea system[J]. Journal of Unmanned Undersea Systems, 2017, 25(2): 44-51. [18] 严浙平, 王璐. UUV水下定位方法的研究现状与进展[J]. 哈尔滨工程大学学报, 2017, 38(7): 989-1000. doi: 10.11990/jheu.201608067Yan Z P, Wang L. Research status and progress of UUV underwater localization[J]. Journal of Harbin Engineering University, 2017, 38(7): 989-1000. doi: 10.11990/jheu.201608067 [19] 许杰, 张鹏, 董理. 基于Rand模型的隐身水雷抗探效能分析[J]. 兵工学报, 2015, 36(S2): 20-24.Xu J, Zhang P, Dong L. Analysis of anti-detection effectiveness of stealth sea mine based on rand model[J]. Acta Armamentarii, 2015, 36(S2): 20-24. [20] 李通旭. 掩埋水雷目标探测技术研究[D]. 西安: 西北工业大学, 2014. [21] 汤渭霖, 范军, 马忠成. 水中目标声散射[M]. 北京: 科学出版社, 2018. [22] Jech J M, Horne J K, Chu D, et al. Comparisons among ten models of acoustic backscattering used in aquatic ecosystem research[J]. The Journal of the Acoustical Society of America, 2015, 138(6): 3742-3764. doi: 10.1121/1.4937607 [23] Miller J H, Potty G R, Sarangapani S. Acoustic detection and monitoring for transportation infrastructure security[EB/OL]. (2009-9-1)[2026-3-30]. https://rosap.ntl.bts.gov/view/dot/17764. [24] Kozaczka E, Grelowska G, Kozaczka S, et al. Diver observations by means of acoustic methods[J]. Acta Physica Polonica A, 2013, 123(6): 1098-1100. doi: 10.12693/aphyspola.123.1098 [25] 张波, 刘文章. 蛙人回波建模与实验研究[J]. 应用声学, 2010, 29(4): 313-320. doi: 10.3969/j.issn.1000-310X.2010.04.013Zhang B, Liu W Z. Modeling and experimental study of echo from a diver[J]. Journal of Applied Acoustics, 2010, 29(4): 313-320. doi: 10.3969/j.issn.1000-310X.2010.04.013 [26] 聂东虎, 乔钢, 朱知萌, 等. 水下蛙人主被动探测实验研究[J]. 声学技术, 2015, 34(4): 300-305.Nie D H, Qiao G, Zhu Z M, et al. Experimental research of passive and active detection for underwater diver[J]. Technical Acoustics, 2015, 34(4): 300-305. [27] Zhang Y, Feng X. Target strength calculation of bubble cloud generated by diver based on dimension distribution[C]//2013 IEEE International Conference of IEEE Region 10 (TENCON 2013), 2013: 1-4. [28] Zhang Y M, Feng X A. Scattering properties and echo modeling of diver's lung[C]//Proceedings of 2014 11th International Bhurban Conference on Applied Sciences & Technology(IBCAST), 2014: 386-389. [29] 张杨梅, 冯西安. 气泡群目标强度的起伏统计模型[J]. 计算机仿真, 2015, 32(9): 14-18,38. doi: 10.3969/j.issn.1006-9348.2015.09.004Zhang Y M, Feng X A. Statistical Model of Target Strength Model of Bubble Cloud[J]. Computer Simulation, 2015, 32(9): 14-18,38. doi: 10.3969/j.issn.1006-9348.2015.09.004 [30] 张杨梅. 水下小目标主动探测关键技术研究[D]. 西安: 西北工业大学, 2017. [31] 张培珍, 林芳. 开式呼吸蛙人专用氧气瓶声散射特性[J]. 上海交通大学学报, 2022, 56(6): 764-771. doi: 10.16183/j.cnki.jsjtu.2021.078Zhang P Z, Lin F. Sound scattering characteristics of oxygen cylinder for open breathing diver[J]. Journal of Shanghai Jiaotong University, 2022, 56(6): 764-771. doi: 10.16183/j.cnki.jsjtu.2021.078 [32] 王琦, 范军, 王斌. 闭式蛙人目标强度预报及试验[J]. 声学技术, 2022, 41(2): 173-179.Wang Q, Fan J, Wang B. Target strength of closed frogman: measurements and modelling[J]. Technical Acoustics, 2022, 41(2): 173-179. [33] Qin H, Li Z, Xu S, et al. Review of diver propulsion vehicle: A review[J]. Physics of Fluids, 2024, 36(10): 101305. doi: 10.1063/5.0228686 [34] 王文欢, 王斌, 范军, 等. 基于迭代物理声学的导管中高频声散射特性研究[J]. 声学学报, 2025, 50(2): 445-455.Wang W H, Wang B, Fan J, et al. Study of medium-frequency and high-frequency acoustic scattering characteristics of duct based on an iterative physical acoustics method[J]. Acta Acustica, 2025, 50(2): 445-455. [35] Suchen X U, Peng Z, Zhou F, et al. Prediction method and characteristics of static acoustic scattering for marine composite propellers[J]. Archives of Acoustics, 2024, 49(4): 575-589. doi: 10.24425/aoa.2024.148815 [36] 宋沨, 李威. 水下复合材料舵的声散射特性仿真研究[J]. 应用科技, 2018, 45(5): 10-15. doi: 10.11991/yykj.201802003Song F, Li W. Simulation study on acoustic scattering characteristics of underwater composite rudder[J]. Applied Science and Technology, 2018, 45(5): 10-15. doi: 10.11991/yykj.201802003 [37] Whitlow W L Au. Acoustic reflectivity of a dolphin[J]. The Journal of the Acoustical Society of America, 1996, 99(6): 3844-3848. doi: 10.1121/1.415002 [38] Finneran J J. Whole-lung resonance in a bottlenose dolphin(Tursiops truncatus) and white whale(Delphinapterus leucas)[J]. The Journal of the Acoustical Society of America, 2003, 114(1): 529-535. [39] Oelze M L, Miller R J, Blue J P, et al. Estimation of the acoustic impedance of lung versus level of inflation for different species and ages of animals[J]. The Journal of the Acoustical Society of America, 2008, 124(4): 2340-2352. doi: 10.1121/1.2973186 [40] Houston B H, Carin L. Harbor threat detection, classification, and identification[EB/OL]. (2007-9-30)[2026-3-30]. Naval Research Laboratory. https://apps.dtic.mil/sti/pdfs/ADA541163. [41] 张波, 马忠成. 蛙人目标强度的水下测量[C]//中国声学学会2009年青年学术会议论文集, 2009: 313-314. [42] Sun Z, Zhang J, Qiao G, et al. Experimental study on target characters of divers[C]//2013 OCEANS-San Diego, 2013: 1-5. [43] Hollett R D, Kessel R T, Pinto M. At-sea measurements of diver target strengths at 100 KHz: Measurement technique and first results[EB/OL]. (2007-7-27)[2026-3-30]. NATO Undersea Research Centre. https://www.researchgate.net/publication/235093769. [44] Ge L, Li J, Liu Y, et al. Offshore experimental investigation of echo characteristics in divers using drysuit/wetsuit and open-circuit/closed-circuit breathing systems[J]. Applied Acoustics, 2026, 243: 111143. doi: 10.1016/j.apacoust.2025.111143 [45] Colin M, Beerens S P, Ainsli M A. Optimum sonar frequency for diver detection in harbours[C]//International Conference on Detection and Classification of Underwater Targets, 2007: 200-220. [46] 张伟豪, 许枫. 基于扰动声场的水下入侵目标检测方法[J]. 哈尔滨工程大学学报, 2009, 30(9): 975-979. doi: 10.3969/j.issn.1006-7043.2009.09.001Zhang W H, Xu F. A method for detecting underwater intruders based on disturbed sound field[J]. Journal of Harbin Engineering University, 2009, 30(9): 975-979. doi: 10.3969/j.issn.1006-7043.2009.09.001 [47] Acker T. BioSonics underwater acoustic sentinel (UWACS) system for intruder detection[C]//OCEANS 2009, 2009: 1-4. [48] Li K, Li C L, Zhang W. Research of diver sonar image recognition based on support vector machine[J]. Advanced Materials Research, 2013, 785: 1437-1440. doi: 10.4028/www.scientific.net/amr.785-786.1437 [49] 刘雄厚, 时荣伟, 杨益新. 利用跟踪轨迹特征和SVDD-SVM联合分类器的水下慢速小目标分类方法[J]. 声学学报, 2023, 48(4): 646-655.Liu X H, Shi R W, Yang Y X. Underwater slowly-moving small target classification method using tracking trajectory features and SVDD-SVM classifier[J]. Acta Acustica, 2023, 48(4): 646-655. [50] 赖凯, 刘雄厚, 杨益新. 利用支持向量数据描述和递归特征消除的水下慢速小目标轨迹特征选择方法[J]. 声学学报, 2025, 50(2): 475-485.Lai K, Liu X H, Yang Y X. Underwater low-speed small target trajectory feature selection using support vector data description and recursive feature elimination[J]. Acta Acustica, 2025, 50(2): 475-485. [51] Nguyen H T, Lee E H, Lee S. Study on the classification performance of underwater sonar image classification based on convolutional neural networks for detecting a submerged human body[J]. Sensors, 2019, 20(1): 94. doi: 10.3390/s20010094 [52] Gu R, Peng Z, Xu C, et al. A fast method for predicting time-domain acoustic scattering echoes based on the highlight model[J]. Journal of Theoretical and Computational Acoustics, 2025, 33(3). [53] 汤渭霖. 声呐目标回波的亮点模型[J]. 声学学报, 1994, 19(2): 92-100.Tang W L. Highlight model of echoes from sonar targets[J]. Acta Acustica, 1994, 19(2): 92-100. [54] 范军, 汤渭霖, 卓琳凯. 声呐目标回声特性预报的板块元方法[J]. 船舶力学, 2012, 16(Z1): 171-180. doi: 10.3969/j.issn.1007-7294.2012.01.020Fan J, Tang W L, Zhuo L K. Planar elements method for forecasting the echo characteristics from sonar targets[J]. Journal of Ship Mechanics, 2012, 16(Z1): 171-180. doi: 10.3969/j.issn.1007-7294.2012.01.020 [55] 李建鲁. 水下目标近场回声特性及其声图像[D]. 上海: 上海交通大学, 2002. [56] Borovikov V A, Veksler N D. Scattering of sound waves by smooth convex elastic cylindrical shells[J]. Wave Motion, 1985, 7(2): 143-152. doi: 10.1016/0165-2125(85)90042-3 [57] Williams K L, Marston P L. Synthesis of backscattering from an elastic sphere using the Sommerfeld-Watson transformation and giving a Fabry-Perot analysis of resonances[J]. The Journal of the Acoustical Society of America, 1986, 79(6): 1702-1708. doi: 10.1121/1.393231 [58] Kargl S G, Marston P L. Ray synthesis of the form function for backscattering from an elastic spherical shell: Leaky Lamb waves and longitudinal resonances[J]. The Journal of the Acoustical Society of America, 1991, 89(6): 2545-2558. doi: 10.1121/1.400694 [59] Veksler N D, Korsunskii V M. Analysis and synthesis of backscattering from a circular cylindrical shell[J]. The Journal of the Acoustical Society of America, 1990, 87(3): 943-962. doi: 10.1121/1.399431 [60] Ho J M, Couchman L S. Approximate ray synthesis of the surface fields of a submerged elastic cylindrical shell with hemispherical endcaps[J]. The Journal of the Acoustical Society of America, 1994, 96(2): 1104-1115. doi: 10.1121/1.411394 [61] Tran-Van-Nhieu M. Scattering from a ribbed finite cylindrical shell with internal axisymmetric oscillators[J]. The Journal of the Acoustical Society of America, 2002, 112(2): 402-410. doi: 10.1121/1.1488659 [62] Gaunaurd G C. Acoustic spectrogram and complex-frequency poles of a resonantly excited elastic tube[J]. The Journal of the Acoustical Society of America, 1984, 75(6): 1680-1693. doi: 10.1121/1.390907 [63] Guo Y P. Sound scattering by bulkheads in cylindrical shells[J]. The Journal of the Acoustical Society of America, 1994, 95(5): 2550-2559. doi: 10.1121/1.409824 [64] Skelton E A. Acoustic scattering by a disc constraining an infinite fluid-loaded cylindrical shell[J]. Journal of Sound and Vibration, 1991, 148(2): 243-264. doi: 10.1016/0022-460X(91)90574-4 [65] 范军, 汤渭霖. 声呐目标强度(TS)计算的板块元方法[C] //中国声学学会1999年青年学术会议论文集, 1999: 40-41. [66] 潘安, 范军. 水下无人潜器的回波特性计算[C]//中国声学学会2009年青年学术会议论文集, 2009: 85-86. [67] 郑国垠, 范军, 汤渭霖. 充水有限长圆柱薄壳声散射: Ⅰ. 理论[J]. 声学学报, 2009, 34(6): 490-497.Zheng G Y, Fan J, Tang W L. Acoustic scattering from fluid-filled finite cylindrical shell in water: Ⅰ. theory[J]. Acta Acustica, 2009, 34(6): 490-497. [68] 王文欢, 范军, 王斌. 分舱段充水有限长圆柱薄壳声散射仿真与试验研究[C]//第十七届船舶水下噪声学术讨论会论文集, 2019: 294-299. [69] 张迪, 周富霖, 李兵, 等. 分舱段圆柱壳声散射数值和试验研究[J]. 声学技术, 2021, 40(5): 594-600.Zhang D, Zhou F L, Li B, et al. Numerical and experimental studies on acoustic scattering from multi-cabin cylindrical shells[J]. Technical Acoustics, 2021, 40(5): 594-600. [70] 刘博, 范军, 王斌. 某小型潜航器的声散射特性研究[J]. 声学技术, 2021, 40(4): 458-463. doi: 10.16300/j.cnki.1000-3630.2021.04.003Liu B, Fan J, Wang B. Study on acoustic scattering characteristics of a small submersible vehicle[J]. Study on acoustic scattering characteristics of a small submersible vehicle, 2021, 40(4): 458-463. doi: 10.16300/j.cnki.1000-3630.2021.04.003 [71] 范新刚, 何旭东, 吴春红, 等. 基于预报模型的目标散射特性仿真研究[J]. 舰船电子工程, 2025, 45(11): 113-116. doi: 10.3969/j.issn.1672-9730.2025.11.024Fan X G, He X D, Wu C H, et al. Simulation Study on Target Scattering Echo Characteristics Based on Prediction Model[J]. Ship Electronic Engineering, 2025, 45(11): 113-116. doi: 10.3969/j.issn.1672-9730.2025.11.024 [72] Wang W, Wang B, Fan J, et al. A simulation method on target strength and circular SAS imaging of X-rudder UUV including multiple acoustic scattering[J]. Defence Technology, 2023, 23(5): 214-228. doi: 10.1016/j.dt.2023.02.008 [73] 曹浩, 张鑫泽, 张俊, 等. 小型水下航行器近场高频回声强度特性研究[J]. 水下无人系统学报, 2025, 33(3): 511-517. doi: 10.11993/j.issn.2096-3920.2024-0146Cao H, Zhang X Z, Zhang J, et al. Research on near-field high-frequency echo strength characteristics of small undersea vehicle[J]. Journal of Unmanned Undersea Systems, 2025, 33(3): 511-517. doi: 10.11993/j.issn.2096-3920.2024-0146 [74] 郝雅, 程玄, 李宇坤, 等. “虎鲸”超大型无人潜航器目标强度特性研究[J]. 中国舰船研究, 2026(2): 77-88.Hao Y, Cheng X, Li Y K, et al. Research on target strength characteristics of the Orca extra-large unmanned underwater vehicle[J]. Chinese Journal of Ship Research, 2026(2): 77-88. [75] 刘梦婷, 李卓然, 秦志亮, 等. 基于物理信息神经网络的水下弹性目标声散射求解方法[J]. 声学学报, 2026, 51(1): 270-286. doi: 10.12395/0371-0025.2025088Liu M T, Li Z R, Qin Z L, et al. Acoustic scattering solution method of underwater elastic target based on physics-informed neural network[J]. Acta Acustica, 2026, 51(1): 270-286. doi: 10.12395/0371-0025.2025088 [76] Agounad S, Decultot D, Chati F, et al. Experimental study of the bistatic acoustic scattering from cylindrical shell[J]. Mechanical Systems and Signal Processing, 2023, 186: 109892. doi: 10.1016/j.ymssp.2022.109892 [77] Zhang X, Pan H, Jing Z, et al. UUVDNet: An efficient unmanned underwater vehicle target detection network for multibeam forward-looking sonar[J]. Ocean Engineering, 2025, 315: 119820. doi: 10.1016/j.oceaneng.2024.119820 [78] Lei B, He Z, Fan Q, Yang Y. Habor protection with underwater acoustic barrier: method and system[J]. Applied Acoustics, 2025, 239: 110856. doi: 10.1016/j.apacoust.2025.110856 [79] 黄金凤, 黎洁, 范军, 等. 一种外部加翼的圆柱小目标声隐身结构设计[J]. 声学技术, 2024, 43(2): 182-191.Huang J F, Li J, Fan J, et al. Design of an acoustic stealth structure for small cylindrical targets with external wings[J]. Technical Acoustics, 2024, 43(2): 182-191. [80] Faran J J. Sound scattering by solid cylinders and spheres[J]. The Journal of the Acoustical Society of America, 1951, 23(4): 405-418. doi: 10.1121/1.1906780 [81] Gaunaurd G C, Überall H. RST analysis of monostatic and bistatic acoustic echoes from an elastic sphere[J]. The Journal of the Acoustical Society of America, 1983, 73(1): 1-12. doi: 10.1121/1.388839 [82] Williams K L, Marston P L. Backscattering from an elastic sphere: Sommerfeld-Watson transformation and experimental confirmation[J]. The Journal of the Acoustical Society of America, 1985, 78(3): 1093-1102. doi: 10.1121/1.393028 [83] Williams K L, Marston P L. Rayleigh‐mode backscattering from an elastic sphere: Sommerfeld‐Watson transformation and experimental confirmation[J]. The Journal of the Acoustical Society of America, 1985, 77(S1): S79-S79. doi: 10.1121/1.2022514 [84] 汤渭霖, 范军. 水中双层弹性球壳的回声特性[J]. 声学学报, 1999, 24(2): 174-182.Tang W L, Fan J. Echoes from double elastic spherical shell in water[J]. Acta Acustica, 1999, 24(2): 174-182. [85] 范军, 汤渭霖. 覆盖粘弹性层的水中双层弹性球壳的回声特性[J]. 声学学报, 2001, 26(4): 302-306. doi: 10.3321/j.issn:0371-0025.2001.04.003Fan J, Tang W L. Echoes from double elastic spherical shell covered with viscolelatstic materials in water[J]. Acta Acustica, 2001, 26(4): 302-306. doi: 10.3321/j.issn:0371-0025.2001.04.003 [86] 谭力文. 界面附近目标的声散射特性研究[D]. 上海: 上海交通大学, 2024. [87] 范威, 范军, 王新宁. SWT 方法在内部充水弹性球壳散射的应用(英文)[J]. 船舶力学, 2012, 16(6): 705-715. doi: 10.3969/j.issn.1007-7294.2012.06.010Fan W, Fan J, Wang X N. Application of the SWT Method to Scattering from Water-filled Elastic Spherical Shells[J]. Journal of Ship Mechanics, 2012, 16(6): 705-715. doi: 10.3969/j.issn.1007-7294.2012.06.010 [88] 范威, 郑国垠, 范军. 充水圆柱壳散射波的Sommerfeld-Watson变换分析[C]//2009年全国水声学学术交流暨水声学分会换届改选会议论文集, 2009: 148-150. [89] 汤渭霖. 奇异点展开法(SEM)与共振散射理论(RST)之间的联系[J]. 声学学报, 1991, 16(3): 199-208.Tang W L. Relation between singularity expansion method (SEM) and resonance scattering theory(RST)[J]. Acta Acustica, 1991, 16(3): 199-208. [90] 刘国利, 汤渭霖. 平面声波斜入射到水中无限圆柱的纯弹性共振散射[J]. 声学学报, 1996, 21(4): 506-516.Liu G L, Tang W L. Pure elastic resonance scattering of an obliquely incident plane acoustic wave by a submerged infinite cylinder[J]. Acta Acustica, 1996, 21(4): 506-516. [91] 刘国利, 汤渭霖. 平面声波斜入射到水中无限长圆柱壳体的纯弹性共振散射[J]. 声学学报, 1996, 21(5): 805-814.Liu G L, Tang W L. Pure elastic resonance scattering of an obliquely incident plane acoustic wave by a submerged infinite cylindrical shell[J]. Acta Acustica, 1996, 21(5): 805-814. [92] Stanton T K. Sound scattering by cylinders of finite length. I. Fluid cylinders[J]. The Journal of the Acoustical Society of America, 1988, 83(1): 55-63. doi: 10.1121/1.396184 [93] Stanton T K. Sound scattering by cylinders of finite length. III. Deformed cylinders[J]. The Journal of the Acoustical Society of America, 1989, 86(2): 691-705. doi: 10.1121/1.398193 [94] Ström S, Kristensson G. The T matrix approach to scattering from buried inhomogeneities[M]//Varadan V K, Varadan V V. Acoustic, Electromagnetic, and Elastic Wave Scattering: Focus on the T-matrix Approach[M]. Oxford, U K: Pergamon Press Ltd. , 1980: 135-167. [95] Lim R. Acoustic scattering by a partially buried three-dimensional elastic obstacle[J]. The Journal of the Acoustical Society of America, 1998, 104(2): 769-782. doi: 10.1121/1.423352 [96] Fawcett J A. Scattering from a finite cylinder near an interface[J]. The Journal of the Acoustical Society of America, 2014, 136(2): 485-493. doi: 10.1121/1.4887445 [97] Fawcett J A. Acoustic scattering from cylindrical objects embedded between two half-spaces[J]. The Journal of the Acoustical Society of America, 1996, 100(5): 3053-3060. doi: 10.1121/1.417117 [98] Veljkovic I, Schmidt H, Tesei A. Bistatic scattering from flush and partially buried targets in shallow water[J]. The Journal of the Acoustical Society of America, 2003, 114(4 -Supplement): 2312. [99] Thorsos E I, Jackson D R, Williams K L. Modeling of subcritical penetration into sediments due to interface roughness[J]. The Journal of the Acoustical Society of America, 2000, 107(1): 263-277. doi: 10.1121/1.428303 [100] Jensen F B, Schmidt H. Subcritical penetration of narrow Gaussian beams into sediments[J]. The Journal of the Acoustical Society of America, 1987, 82(2): 574-579. doi: 10.1121/1.395457 [101] Zampolli M, Tesei A, Canepa G, et al. Computing the far field scattered or radiated by objects inside layered fluid media using approximate Green’s functions[J]. The Journal of the Acoustical Society of America, 2008, 123(6): 4051-4058. doi: 10.1121/1.2902139 [102] Fawcett J A. Modeling of scattering by partially buried elastic cylinders[J]. The Journal of the Acoustical Society of America, 1999, 105(5): 2628-2633. doi: 10.1121/1.426878 [103] Lucifredi I, Schmidt H. Subcritical scattering from buried elastic shells[J]. The Journal of the Acoustical Society of America, 2006, 120(6): 3566-3583. doi: 10.1121/1.2357711 [104] Lucifredi I. Scattering from sub-critically insonified buried elastic shells[D]. Cambridge, MA: Massachusetts Institute of Technology, 2004. [105] 杨士莪. 声波在物体上衍射的高频近似[R]. 1994. [106] 高博, 杨士莪, 朴胜春, 等. 界面混响的耦合简正波理论研究[J]. 声学学报, 2013, 38(5): 517-522.Gao B, Yang S E, Piao S C, et al. Research of surface reverberation using coupled mode theory[J]. Acta Acustica, 2013, 38(5): 517-522. [107] 孟庆昕, 杨士莪, 朴胜春, 等. 水面目标信号预测与识别方法[J]. 哈尔滨工程大学学报, 2016, 37(1): 1-6,103.Meng Q X, Yang S E, Piao S C, et al. Prediction and recognition method for signals of targets on the water surface[J]. Journal of Harbin Engineering University, 2016, 37(1): 1-6,103. [108] 万琳, 范军, 汤渭霖. 海底掩埋物的目标强度和回声信混比[J]. 声学学报, 2006, 31(2): 151-157.Wan L, Fan J, Tang W L. The target strength and echo-to-reverberation ratio of a buried target in sediment[J]. Acta Acustica, 2006, 31(2): 151-157. [109] 曹正良, 杜栓平, 周士弘, 等. 平面海底界面上球体目标的声散射建模研究[J]. 地球物理学报, 2010, 53(2): 401-410.Cao Z L, Du S P, Zhou S H, et al. Modeling of acoustic scattering by sphere on a planar seabed[J]. Chinese Journal of Geophysics, 2010, 53(2): 401-410. [110] 胡珍, 范军, 张培珍, 等. 水下掩埋目标的散射声场计算与实验[J]. 物理学报, 2016, 65(6): 064301. doi: 10.7498/aps.65.064301Hu Z, Fan J, Zhang P Z, et al. Acoustic scattering from elastic target buried in water-sand sediment[J]. Acta Physica Sinica, 2016, 65(6): 064301. doi: 10.7498/aps.65.064301 [111] Li B, Fan J, Wang B, et al. Subcritical scattering from buried elastic sphere based on subsonic Rayleigh waves[J]. Journal of Ocean Engineering and Science, 2025, 10(5): 761-773. doi: 10.1016/j.joes.2024.12.002 [112] Li B, Zhou F L, Wang Z K, et al. Bistatic subcritical scattering characteristics of a buried solid-filled cylindrical shell at low-frequency[J]. Ocean Engineering, 2025, 333: 121542. doi: 10.1016/j.oceaneng.2025.121542 [113] Li B, Li J, Fu J, et al. Acoustic scattering of submerged targets from head waves in a shallow-water waveguide[J]. Physics of Fluids, 2025, 37(5): 057139. doi: 10.1063/5.0272427 [114] Hampton L D, McKinney C M. Experimental study of the scattering of acoustic energy from solid metal spheres in water[J]. The Journal of the Acoustical Society of America, 1961, 33(5): 664-673. doi: 10.1121/1.1908464 [115] Neubauer W G, Dragonette L R. Observation of waves radiated from circular cylinders caused by an incident pulse[J]. The Journal of the Acoustical Society of America, 1970, 48(5B): 1135-1149. doi: 10.1121/1.1912254 [116] Faure A, Maze G, Ripoche J. Observation of ultrasonic surface waves on plane and cylindrical solids by optical methods[J]. Journal of Applied Physics, 1977, 48(3): 869-875. doi: 10.1063/1.323748 [117] Quentin G J, de Billy M, Hayman A. Comparison of backscattering of short pulses by solid spheres and cylinders at large ka[J]. The Journal of the Acoustical Society of America, 1981, 70(3): 870-878. doi: 10.1121/1.386881 [118] Maze G, Lecroq F, Décultot D, et al. Acoustic scattering from finite cylindrical elastic objects[J]. The Journal of the Acoustical Society of America, 1991, 90(6): 3271-3278. doi: 10.1121/1.401437 [119] Blonigen F J, Marston P L. Leaky helical flexural wave backscattering contributions from tilted cylindrical shells in water: Observations and modeling[J]. The Journal of the Acoustical Society of America, 2002, 112(2): 528-536. doi: 10.1121/1.1492822 [120] Morse S F, Marston P L, Kaduchak G. High-frequency backscattering enhancements by thick finite cylindrical shells in water at oblique incidence: Experiments, interpretation, and calculations[J]. The Journal of the Acoustical Society of America, 1998, 103(2): 785-794. doi: 10.1121/1.421200 [121] Morse S F, Marston P L. Backscattering of transients by tilted truncated cylindrical shells: Time-frequency identification of ray contributions from measurements[J]. The Journal of the Acoustical Society of America, 2002, 111(3): 1289-1294. doi: 10.1121/1.1448518 [122] Kargl S G, Williams K L, España A L, et al. Acoustic scattering from underwater munitions near a water ‐ sediment interface[J]. The Journal of the Acoustical Society of America, 2011, 129(4-Supplement): 2685-2685. doi: 10.1121/1.3589010 [123] Décultot D, Cacheleux K, Maze G. Classification of an object buried in sand by an acoustic resonance spectrum method[C]//International Conference on Detection and Classification of Underwater Targets, 2007: Pt. 6. [124] 张培珍, 李秀坤, 王斌, 等. 掩埋目标声散射特性及其实验[J]. 声学学报, 2018, 43(6): 934-942. doi: 10.15949/j.cnki.0371-0025.2018.06.008Zhang P Z, Li X K, Wang B, et al. Acoustic scattering experiments and characteristics of targets buried in sediment[J]. Acta Acustica, 2018, 43(6): 934-942. doi: 10.15949/j.cnki.0371-0025.2018.06.008 [125] Amate M, et al. Buried mines detection and classification: advanced technologies and signal processing[C]//Europe Oceans 2005, 2005: 153-159. [126] 岳雷, 姜春华, 罗松, 等. 低频宽带多波束声呐系统设计及试验研究[J]. 水下无人系统学报, 2020, 28(1): 97-106. doi: 10.11993/j.issn.2096-3920.2020.01.014Yue L, Jiang C H, Luo S, et al. Design and experimental research of low-frequency broadband multi-beam sonar system[J]. Journal of Unmanned Undersea Systems, 2020, 28(1): 97-106. doi: 10.11993/j.issn.2096-3920.2020.01.014 [127] Piper J E, Lim R, Thorsos E I, et al. Buried sphere detection using a synthetic aperture sonar[J]. IEEE Journal of Oceanic Engineering, 2009, 34(4): 485-494. doi: 10.1109/JOE.2009.2030971 [128] Johnson S F, Lyons A P, Abraham D A. The Impact of Multipath on High-Resolution SAS Image Statistics[J]. IEEE Journal of Oceanic Engineering, 2009, 34(4): 476-484. doi: 10.1109/JOE.2009.2032794 [129] Schmidt H, Leonard J, Edwards J R, et al. Sub-seabed mapping using AUV-based multi-static acoustic sensing and adaptive control[R]. Massachusetts Institute of Technology, 2004. [130] Maguer A, Fox W L, Zerr B, et al. Buried mine detection and classification: research summary 1996-1999: SR-315[R]. SACLANT Undersea Research Centre, 1999. [131] 玄兆林, 谭昕, 张小兵. 水雷总体的声学问题[J]. 海军工程大学学报, 2002, 14(6): 10-12,18. doi: 10.3969/j.issn.1009-3486.2002.06.003Xuan Z L, Tan X, Zhang X B. The acoustical problem of watermine collectivity[J]. Journal of Naval University of Engineering, 2002, 14(6): 10-12,18. doi: 10.3969/j.issn.1009-3486.2002.06.003 [132] 高山, 许坚, 凌青, 等. 水雷隐身对声呐探雷的影响[J]. 舰船科学技术, 2009, 31(1): 79-82.Gao S, Xu J, Ling Q, et al. Acoustic performance analysis of sea mine stealth[J]. Ship Science and Technology, 2009, 31(1): 79-82. -

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