基于有穷状态自动机浅海声场仿真研究

提出一种用有穷状态自动机研究浅海声场的方法。应用Snell定律对单步的声线传播进行研究,分析了浅海声场内在的状态及状态转移特性,推导出浅海声场的有穷状态自动机。步长根据实验精度要求设定,仿真实验表明步长越小,精度越高,计算量越大。为了减小运算量,本征声线通过两次追踪不同步长的方法获得。数值仿真结果证明了该方法的可行性,其精度可以达10-4。该方法可望应用到光学和地震学等领域的射线传播研究中。

Research of Shallow Water Acoustic Field Simulation Based on Finite Automaton

A shallow water acoustic field algorithm using finite automaton was presented.The one-step trajectory is based on Snell's law.The states in shallow water acoustic field and their transition were analyzed.The step size was determined by the precision,and the numerical simulation shows that the smaller the step size,the higher the precision and the computational burden.In order to reduce the computational burden,the eigenray was obtained by using two different step sizes.The numerical simulation results show that the algorithm is valid and its numeric precision is about 10-4.This algorithm can be used in other ray tracing topics such as optics and seismology.