波动传播问题在物理学研究中十分普遍，而电磁波与声波是十分常见的波动类型. 它们具有相似的方程形式以及反射折射条件，但是又在偏振态数量与全折射条件等方面有差异. 本文主要通过基于量子力学思想的本征函数法进行理论计算与数值模拟，得到电磁波与声波在两种介质交界面的折射、反射系数. 这种方法更利于区分波动的传播方向，并且能够在更为复杂的波动方程求解中发挥优势. 

The problem of wave propagation is very common in physics, and electromagnetic waves and acoustic waves are very common types of waves.  They have similar equation forms and reflection and refraction conditions, but they differ in terms of the number of polarization states and the total refraction conditions.  This paper mainly uses the eigenfunction method based on quantum mechanics to carry out theoretical calculations and numerical simulations, and obtains the refraction and reflection coefficients of electromagnetic waves and acoustic waves at the interface between two media. This method is more suitable for distinguishing the propagation direction of waves and can provide advantages in solving more complex wave equations.