Page 111 - 《应用声学》2023年第1期
P. 111

第 42 卷 第 1 期                                                                       Vol. 42, No. 1
             2023 年 1 月                          Journal of Applied Acoustics                   January, 2023

             ⋄ 研究报告 ⋄



                理想浅海波导中声场奇异点与声源深度的关系                                                                    ∗




                                         王泽茜 李 建           †   张 振 顾明宇


                                              (河海大学物联网工程学院        常州   213002)

                摘要：为了有效利用声场奇异点蕴含的声源参数信息，研究了在理想浅海波导中，远场不同邻阶模态组的声场
                奇异点与声源深度之间的关系。推导计算了典型浅海声源声场的邻阶模态组奇异点位置，并通过仿真对奇异
                点的分布进行分析，结果显示邻阶模态组的阶数和阶差越大，奇异点分布越复杂。进一步研究发现，邻阶模态
                组第一组奇异点的深度和声源深度之间存在联系，并且基于奇异点与声压场的对应关系，在获得准确模态分
                布的前提下，可以通过两个邻阶模态组的第一组奇异点深度逆运算获得对应声源深度信息，也可以通过第一
                组奇异点深度反演获得声源深度信息。该文为获取浅海声源深度提供了思路。
                关键词：邻阶模态组；奇异点；声源深度；逆运算；反演
                中图法分类号: TB525           文献标识码: A          文章编号: 1000-310X(2023)01-0107-09
                DOI: 10.11684/j.issn.1000-310X.2023.01.014




               Relationship between singular points of the acoustic field in the ideal shallow
                                            waveguide and source depth




                                    WANG Zexi     LI Jian  ZHANG Zhen      GU Mingyu

                            (College of Internet of Things Engineering, Hohai University, Changzhou 213002, China)

                 Abstract:  In order to make better use of the source information contained in the singular points, the
                 relationship between the singular points of different adjacent mode groups in the far field and the depth of
                 the source in the ideal shallow waveguide is studied. This article derives the position of singular points of the
                 typical shallow waveguide source acoustic field. The distribution of singular points is analyzed by simulation,
                 and the results show that the larger the order and order difference of adjacent mode groups, the more complex
                 the distribution of singular points. The further research found that there is a relationship between the depth of
                 the first group of the adjacent mode groups and the depth of the source, based on the correspondence between
                 the singular points and the acoustic field, and on the premise of obtaining an accurate modes distribution, the
                 source depth can be obtained through the depth of the first group of singular points of the two adjacent mode
                 groups, it is also possible to invert the source depth through the first group of singular points. It provides an
                 idea about obtaining the depth of the source in the shallow waveguide.
                 Keywords: Adjacent mode group; Singular points; Depth of source; Inverse operation; Inversion






             2022-05-20 收稿; 2022-11-07 定稿
             水下机器人技术国家重点实验室基金项目 (6142215200102), 国家自然科学基金项目 (12274113)
             ∗
             作者简介: 王泽茜 (1998– ), 男, 陕西渭南人, 硕士研究生, 研究方向: 水声探测与定位。
             † 通信作者 E-mail: jian263@sina.com
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