声矢量场的抛物方程计算方法

Vector acoustic field calculation using the parabolic equation method

采用抛物方程方法对声场声压进行计算,通过尤拉公式给出抛物方程方法对声矢量场参数求解表达式,并利用差分方法对声场质点振速值进行数值计算.该文介绍了三维抛物方程理论与FOR3D程序算法;对PEKER IS问题、单层海洋环境及ASA基准楔形模型环境下的声矢量场进行仿真验证.结果表明,利用抛物方程方法可以快速简便地求解复杂海洋环境下的声场,并且可以用于计算声矢量场参数.

The parabolic equation （PE） method is widely used for sound field computations. In this paper, the PE method was used for computing pressure in a sound field, and the formula used for the vector acoustic field parameter was the Euler formula, then the particle velocity was computed using the difference method. Three-dimensional PE theory and FOR3D program arithmetic were introduced, and the ocean environment of PEKERIS, monolayer and the Acoustieal Society of America （ASA） benchmark wedge were simulated for validity. The results indicate that the PE method can solve sound fields quickly and eonveniently in a complicated ocean environment and calculate the parameters of a vector acoustic field.