本文根据无界空间波动方程的解析解,从数学上探讨波动学的惠更斯原理,揭示该原理仅对于一维和三维空间成立,而对于二维空间不成立.我们能够通过声音传递信号,并不是像初看起来那么理所当然,它决定于惠更斯原理适用于三维空间.

In this paper we address the Huygens principle proposed in optics from the analytical solutions of the wave equation. It is revealed that the Huygens principle is correct only in one or three dimensional space while failed in two dimensional space. It is not certain that we can receive acoustic signals through air, it depends on the effectiveness of Huygens principle in the three dimensional space.