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根据纵波在细杆中传播的理论，在单界面反射的条件下，本文推导了时域曲线的振幅谱，分解为振源振幅谱和｜L（ω）｜函数的过程，井推导了与｜L（ω）｜函数的极值相关的L（a）函数．利用L（ω）模函数的特性，就能较为准确的确定反射界面的反射系数和反射波往返时两个参数，为反射波法桩基质量检测的频率城解释方法提供了一定的理论根据．
According to the theory that the longitudinal wave propagates in the thin rod, the amplitude spectrum of the time-domain curve is decomposed into the amplitude spectrum of the vibration source and | L (ω) | function under the condition of single-interface reflection. L (a) function related to the extreme value of L (ω) | function. By using the characteristics of L (ω) modulo function, the reflection coefficient of the reflection interface and the two parameters of the reflected wave return can be determined more accurately, which provides a theoretical basis for the frequency interpretation method of pile foundation quality detection by reflection wave method.