[1]田冠华,郝国栋,张艺杰,等.基于涡旋声波的二维角域高分辨成像方法[J].机械与电子,2026,44(07):23-30.
　TIAN Guanhua,HAO Guodong,ZHANG Yijie,et al.A High-resolution Two dimensional Angular-domain Imaging Method Based on Acoustic Vortex Waves[J].Machinery & Electronics,2026,44(07):23-30.
点击复制

基于涡旋声波的二维角域高分辨成像方法()
分享到：

《机械与电子》[ISSN:1001-2257/CN:52-1052/TH]

卷:
44
期数:
2026年07期
页码:
23-30
栏目:
研究与设计
出版日期:
2026-07-25

文章信息/Info

Title:
A High-resolution Two dimensional Angular-domain Imaging Method Based on Acoustic Vortex Waves
文章编号:
1001-2257(2026)07-0023-08
作者:
田冠华1; 郝国栋2; 张艺杰1; 张鹏程1; 韩建宁3
1.中北大学信息与通信工程学院,山西 太原 030051;
2.国防科技大学气象海洋学院,湖南 长沙 410073;
3.山西师范大学物理与电子工程学院,山西 太原 030031
Author(s):
TIAN Guanhua1; HAO Guodong2; ZHANG Yijie1; ZHANG Pengcheng1; HAN Jianning3
(1.School of Information and Communication Engineering,North University of China,Taiyuan 030051,China;
2.College of Meteorology and Oceanography,National University of Defense Technology,Changsha 410073,China;
3.College of Physics and Information Engineering,Shanxi Normal University,Taiyuan 030031,China)
关键词:
涡旋声波; 轨道角动量; 二维成像; 稀疏贝叶斯学习
Keywords:
acoustic vortex waves; orbital angular momentum; two dimensional imaging; sparse Bayesian learning
分类号:
TB566
文献标志码:
A
摘要:
针对涡旋声波二维角域成像中传统后向投影方法对高阶轨道角动量(OAM)模态依赖较强的问题,提出一种基于稀疏贝叶斯学习的高分辨重构方法。基于已有均匀圆形阵列声学OAM 多发单收回波模型,分析相邻散射点相关函数,推导俯仰分辨率与阵列孔径、目标俯仰角之间的关系;进一步构建多频多模态联合观测模型,实现二维角域等效散射系数重构,并引入统计门限策略提升噪声条件下的稳健性。仿真结果表明:点扩散函数主瓣宽度变化与理论分析一致;在四点散射目标场景中,稀疏贝叶斯学习方法在 OAM 模态范围为[-10,10]时即可有效区分目标,而传统后向投影方法需扩展至[-100,100]才能获得较清晰结果。在13 dB信噪比条件下,增强SBL较传统SBL具有更稳定的重构表现。结果表明,所提方法可在有限模态条件下提高涡旋声波二维角域成像分辨率。
Abstract:
To address the heavy reliance of conventional back-projection methods on high-order orbital angular momentum (OAM) modes in two-dimensional angular-domain imaging with acoustic vortex waves,a highresolution reconstruction method based on sparse Bayesian learning (SBL) is proposed.Based on an existing multiple-input single-output echo model for acoustic OAM waves generated by a uniform circular array, the correlation function between adjacent scatterers is analyzed,and the relationship among elevation resolution,array aperture,and target elevation angle is derived.Furthermore,a multi-frequency and multi-mode joint observation model is then constructed to reconstruct the equivalent scattering coefficients in the two-dimensional angular domain,and a statistical thresholding strategy is incorporated to improve robustness under noisy conditions. Simulation results show that the variation in the mainlobe width of the point spread function is consistent with the theoretical analysis.In a four-point scattering target scenario,the SBL based method can effectively distinguish the targets with an OAM mode range of [-10,10],whereas the conventional back-projection methodrequires an extended range of [-100,100] to yield comparably clear results.At a signal-to-noise ratio of 13 dB,the enhanced SBL method exhibits more stable reconstruction performance than conventional SBL.These results indicate that the proposed method can improve the resolution of two dimensional angular domain imaging using acoustic vortex waves even with a limited-mode conditions.

参考文献/References:

[1] Nye J F,Berry M V.Dislocations in wave trains[J].Proceedings of the Royal Society of London,A:Mathematical and Physical Sciences,1974,336(1605): 165-190.

[2] Broadbent E G,Moore D W.Acoustic destabilization of vortice [J].Philosophical Transactions of the Royal Society of London,Series A:Mathematical and Physical Sciences,1979,290(1372): 353-371.
[3] Hefner B T,Marston P L.An acoustical helicoidal wave transducer with applications for the alignment of ultrasonic and underwater systems[J].The Journal of the Acoustical Society of America,1999,106(6): 3313-3316.
[4] Demore C E M,Yang Zhengyi,Volovick A,et al.Mechanical evidence of the orbital angular momentum to energy ratio of vortex beams[J].Physical Review Letters,2012,108(19): 194301.
[5] Li Xinjia,Li Yuzhi,Ma Qingyu,et al.Principle and performance of orbital angular momentum communication of acoustic vortex beams based on single-ring transceiver arrays[J].Journal of Applied Physics,2020,127(12): 124902.
[6] Jiang Xue,Li Yong,Liang Bin,et al.Convert acoustic resonances to orbital angular momentum[J].Physical Review Letters,2016,117(3): 034301.
[7] Ye Liping,Qiu Chunyin,Lu Jiuyang,et al.Making sound vortices by metasurfaces[J].AIP Advances,2016,6(8): 085007.
[8] Zhou Hongping,Li Jingjing,Guo Kai,et al.Generation of acoustic vortex beams with designed Fermat’s spiral diffraction grating[J].The Journal of the Acoustical Society of America,2019,146(6): 4237-4243.
[9] Thidé B,Then H,Sj?holm J,et al.Utilization of photon orbital angular momentum in the low-frequency radio domain [J].Physical Review Letters,2007,99(8): 087701.
[10] Guo Guirong,Hu Weidong,Du Xiaoyong.Electromagnetic vortex based radar target imaging[J].Journal of National University of Defense Technology, 2013,35(6):71-76.
[11] Yuan Tiezhu,Liu Hongyan,Cheng Yongqiang,et al. Orbital-angular-momentum-based electromagnetic vortex imaging by least-squares method[C]∥2016 IEEE International Geoscience and Remote Sensing Symposium (IGARSS).New York:IEEE,2016:6645-6648.
[12] Liu Kang,Li Xiang,Gao Yue,et al.High-resolution electromagnetic vortex imaging based on sparse Bayesian learning[J].IEEE Sensors Journal,2017,17 (21): 6918-6927.
[13] Shi Chengzhi,Dubios M,Wang Yuan,et al.High-speed acoustic communication by multiplexing orbital angular momentum[J].Proceedings of the National Academy of Sciences,2017,114(28): 7250-7253.
[14] Trichili A,Park K H,Zghal M,et al.Communicating using spatial mode multiplexing: Potentials,challenges, and perspectives[J].IEEE Communications Surveys and Tutorials,2019,21(4): 3175-3203.
[15] Guo Gepu,Li Xinjia,Wang Qingdong,et al.Spectrum decomposition-based orbital angular momentum communication of acoustic vortex beams using single ring transceiver arrays[J].IEEE Transactions on Ultrasonics, Ferroelectrics,and Frequency Control,2020,68(4): 1399-1407.
[16] Jia Yanqing,Hu Qing,Li Zhouming,et al.High resolution imaging of acoustic orbital angular momentum wave based on orthogonal matching tracking[J].The Journal of the Acoustical Society of America,2024, 155(2): 1240-1252.
[17] Jia Yanqing,Hu Qing,Li Shengquan.Enhanced underwater three-dimensional imaging using acoustic orbital angular momentum waves and mode matching beamforming[J].The Journal of the Acoustical Society of America,2025,157(2): 880-896.
[18] 王欢.声涡旋的产生与成像应用研究[D].西安:陕西师范大学,2022.
[19] Guo Shaoqing,He Zi,Chen Rushan.High resolution 2-D electromagnetic vortex imaging using uniform circular arrays[J].IEEE Access,2019,7: 132430-132437.
[20] Mathews C P,Zoltowski M D.Eigenstructure techniques for 2-D angle estimation with uniform circular arrays[J].IEEE Transactions on Signal Processing,1994,42(9): 2395-2407.
[21] Hurtado M,Muravchik C H,Nehorai A.Enhanced sparse Bayesian learning via statistical thresholding for signals in structured noise[J].IEEE Transactions on Signal Processing,2013,61(21): 5430-5443.

备注/Memo

备注/Memo:
收稿日期:2026-04-29
基金项目:山西省回国留学人员科研资助项目(2023 127);山西省自然科学基金面上资助项目(20210302124201)
作者简介:田冠华 (2001-),男,山西吕梁人,硕士研究生,研究方向为信号处理技术等;韩建宁 (1980-),男,山西晋城人,教授,博士研究生导师,研究方向为人工智能、信号处理技术、计算机视觉与图像处理等,通信作者,E-mail:hanjn46@nuc.edu.cn。
更新日期/Last Update: 2026-08-27