机械波半波损失的证明

A Proof of Half-Wave Loss on Mechanical Wave

从振动和波动的关系出发,利用欧拉公式对无分离、无滑动边界条件下反射波的半波损失进行了证明。并对"固定端"和"自由端"两种边界条件下入射波和反射波的相位进行了计算。

In this paper,the half-wave loss of reflection of mechanical wave was proved using Euler＇s formula,under the nonisolated and non-slip boundary conditions.It takes the relationship between vibration and fluctuations as a starting point.The phases of incident waves and reflected waves were also calculated when taking ＂fixed-end＂ and ＂free-end＂ boundary conditions,respectively.