基于分布源边界点法的声散射场全息重建和预测理论

通过在边界结点法向方向上,背离分析域一定距离处构造虚构点源;用虚构点源在边界结点、全息测量点、重建点和预测点处产生的特解,形成满足系统方程的特解矩阵,来计算散射场声学量之间的传递矩阵;建立了基于分布源边界点法的声散射场重建和预测理论模型.该方法避开了基于边界元法的声全息重建和预测模型中的变量插值、数值积分和奇异积分的处理,具有计算速度快、计算精度高、计算稳定性好等优点.

Holographic Reconstruction and Prediction of Acoustic Scattering Field Using a Distributed Source Boundary Point Method

A theoretical model for reconstruction and prediction of acoustic scattering fields is built based on the distributed source boundary point method (DSBPM). In this method, the transform matrices of acoustic quantities are formed with particular matrices at boundary nodes, hologram measurement points, reconstruction points and prediction points generated by the imaginary point sources, which is localized on the normal direction of the boundary nodes and a distance away from the analysis domain. Compared with NAH based on the boundary element method (BEM), variable interpolation, numerical calculation and disposal of singular integral are avoided in this method.It has advantages of fast calculation, high precision, good stability, simplicity and clarity in computation.