基于有穷状态自动机浅海声场仿真研究
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摘要
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。
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.
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.
引文
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[3]孙勇,赵俊渭,张小凤.关于双基地声呐定位及其优化算法的研究[J].系统仿真学报,2007,19(4):725-728.
[4]李永平,毛卫宁.基于分层海洋射线传播模型的接收信号仿真[J].声学与电子工程,2003,69(1.):12-15.
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[2]韩晶,黄建国,曹海旺.海洋信道仿真软件HJRAY及其在水声通信中的应用[J].系统仿真学报,2007,19(1.):35-36.
[3]孙勇,赵俊渭,张小凤.关于双基地声呐定位及其优化算法的研究[J].系统仿真学报,2007,19(4):725-728.
[4]李永平,毛卫宁.基于分层海洋射线传播模型的接收信号仿真[J].声学与电子工程,2003,69(1.):12-15.
[5]张仁和,李风华.浅海声传播的波束位移射线简正波理论[J].中国科学:A辑,1999,29(3):241-251.
[6]Jones R M,Riley J P,Georges T M.HARPO-A Versatile Three Dimensional Hamiltonian Ray Tracing Program for Acoustic Waves in an Ocean with Irregular Bottom[R].NOAA Wave Propagation Laboratory Report,U.S.A.,1986.
[7]唐俊峰.三维声场声速剖面反演研究[D].哈尔滨:哈尔滨工程大学,2003.
[8]W S伯迪克.水声系统分析[M].方良嗣,阎福旺译.北京:海洋出版社,1992:61-77.
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