理想浅海波导中声场奇异点与声源深度的关系

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。

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

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.