基于吸收边界条件的平面直角坐标系下点声源声场的仿真

摘要

Methods for simulating the field of ultrasound nowadays are complicated and susceptible to great limitations and errors. Finite difference time domain (FDTD) method was thus proposed for simulating ultrasonic field by means of absorbing boundary condition and angular point, and the simulation of point acoustic source field was completed in a rectangular plane coordinate system. The efficient FDTD method is applicable to more conditions, has a better simulation effect and can be expanded to 3D coordinate situations.%现有的声场仿真方法多较为复杂,适用范围有着较大局限性,且对仿真区域之外的声场直接忽略造成较大误差.为此将时域有限差分算法引入到声场仿真中,通过基本公式的推导、吸收边界条件的计算和对角点的处理,实现了平面直角坐标系下简单的余弦脉冲点声源和正弦连续点声源所产生声场的仿真.这种方法计算效率高,有着很广的适用范围和更好的仿真效果,并可以进一步推广至三维坐标中使用.