波动方程积分解的简化与惠更斯原理

Simplification of the Integral Solution of Wave Equation and Huygens' Principle

以波动方程积分解为基础，在保持Ｇｒｅｅｎ函数为无界空间Ｇｒｅｅｎ函数的情况下，建立了一种消去积分解中两项曲面积分之一的新方法，从而使积分解简化为与惠更斯的单一次级源设想相一致的情况。文中据此对惠更斯原理及其应用作了比较深入分析和讨论。

This peper develops a new method,which is different from the Gteen function methed, for simplification of the integral solution of wave equation. In the simplified soultion,only one secondary source is needed to represent the wave propagation,i. e. the point source,the case of Huygens' principle,or dipole source. Based on the simplified solution,the Huygens' principle and its application is discussed.