一种基于有穷状态自动机的ニ维浅海声线追踪方法

给出了一种二维的浅海声线追踪方法，解决了声线的反射、折射、全反射等问题并快速地找出声线的路径。对于单步的声线追踪，声速剖面假定为水深的函数，利用Snell定律进行单步求算。用有穷状态自动机对浅海的声线追踪建模，给出了浅海声线追踪内在的状态及状态转移分析。同时，给出了本征声线搜取的方法。最后通过对特定声速剖面情况的数值解值和解析解值进行比较，验证了该方法的正确性，并且讨论了应用该方法应该注意的问题和方法中还有待解决的问题。数值仿真实验结果表明，这种方法能够追踪浅海声线路径，其数值解精度达10 -4．该方法在匹配场层析、目标跟踪定位和其它领域的射绒跟踪有着应用前景。

A Finite Automaton-based Two-dimensional Sound Ray Tracing Method

A two-dimensional sound ray tracing method was presented, which can deal with the prob?lems, such as reflection, refraction, all-reflectiom, and help to find the sound ray trajectories rapidly. At each step of ray tracing, the sound velocity profile was supposed to be a function of the water depth, and the ray trajectory was obtained by deploying Snell’s law. A finite automaton (FA) was used to build up the shallow water ray tracing model, and the model state, transition, event and action were analyzed. Also, a method was used to find the eigenray. At last, its correctness was validated by comparing the numerical value and analytic value of special sound velocity profile, furthermore some problems in the course of applying the method and under solution in the method were discussed. The numerical simulation results show that the method is more reliable to find the sound ray trajectories in shallow water, with its numeric precision being about 10 4. The application of this method is prospec-tive in many cases, such as matched field tomography, source location and ray tracing in other fields.