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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;  
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.
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