Application of compressed equivalent sources for reconstructing scattered acoustic fields from underwater structures

Buchao AN; Yuan'an HE; Hao SONG; Yu'an HU; Xiaowei YAN

doi:10.11990/jheu.202506055

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Application of compressed equivalent sources for reconstructing scattered acoustic fields from underwater structures

Research Article | 更新时间：2026-03-31

- Application of compressed equivalent sources for reconstructing scattered acoustic fields from underwater structures
- Journal of Harbin Engineering University Vol. 46, Issue 8, Pages: 1495-1502(2025)
- 作者机构：
  
  1.浙江大学海洋学院, 浙江舟山 314400
  2.哈尔滨工程大学水声技术全国重点实验室, 黑龙江哈尔滨 150001
  3.海洋信息获取与安全工信部重点实验室(哈尔滨工程大学), 工业和信息化部, 黑龙江哈尔滨 150001
  4.哈尔滨工程大学水声工程学院, 黑龙江哈尔滨 150001
  5.中国船舶集团有限公司系统工程研究院, 北京 100094
- 作者简介：
- 基金信息：
- DOI：10.11990/jheu.202506055
  CLC： O427.1
- Received：25 June 2025，
  
  Online First：01 July 2025，
  
  Published：05 August 2025
- 稿件说明：
移动端阅览
Buchao AN, Yuan'an HE, Hao SONG, et al. Application of compressed equivalent sources for reconstructing scattered acoustic fields from underwater structures[J]. Journal of Harbin Engineering University, 2025, 46(8): 1495-1502.
DOI：

Buchao AN, Yuan'an HE, Hao SONG, et al. Application of compressed equivalent sources for reconstructing scattered acoustic fields from underwater structures[J]. Journal of Harbin Engineering University, 2025, 46(8): 1495-1502. DOI： 10.11990/jheu.202506055.

摘要

针对水下结构散射声场重建中测点较少时精度受限的问题，本文提出一种融合压缩等效源方法。该方法结合压缩感知框架与等效源法，通过联合稀疏表征入射声源与散射等效源模态系数，实现单层声压测量面下的声场分离与重建。结果表明：融合压缩等效源方法可准确重建圆柱壳模型的散射场，且在少量测点下的远场重建任务中优于传统方法；当入射声源先验信息失配时会带来重建误差，但入射声源位于远场时影响较小。通过设置入射虚源，可使融合压缩等效源方法适用于半空间与理想波导环境。湖试数据验证进一步表明，该方法在单层测点条件下能有效分离重建散射声场。湖上试验证实，该方法仅需单层传感器即可达到与传统双层测量方法相当的散射场场重建精度，显著降低了工程实施的复杂度。

Abstract

This study addresses the limited accuracy in reconstructing scattered acoustic fields from underwater structures with sparse measurement points. Toward this end

a fused compressed equivalent source method (FC-ESM) is proposed. By integrating the compressed sensing framework with the equivalent source method

FC-ESM achieves sound field separation and reconstruction via single-layer pressure measurements through joint sparse representation of incident sources and modal coefficients of scattered equivalent sources. The results of the simulations verified that FC-ESM achieves the precise reconstruction of the scattered field in the cylindrical shell model and achieves much higher far-field recovery accuracy under sparse sampling conditions compared with conventional approaches. While mismatches in prior information of incident sources introduce reconstruction errors

the impact is minimal when incident sources are located in the far field. By incorporating incident virtual sources

FC-ESM can be adapted to a half-space environment or an ideal waveguide. Under single-layer measurement conditions

the applicability of the method was further verified by using lake trial data. Lake trials confirm that this method

using only a single-layer sensor array

achieves comparable accuracy in reconstructing the scattered acoustic field to traditional dual-layer measurement methods

significantly reducing the complexity of engineering implementation.

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Keywords

references

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