瑞利波反射理论探讨

RESEARCH ON REFLECTION THEORY OF RAYLEIGH WAVES

在瑞利波理论基础上 ,假设表面波以柱面波形式传播 ,考虑到质点位移振幅随深度作指数衰减的规律和声场基本上限于两个波长深度范围内的特点 ,处理端面 (无限大界面 )反射声压比较简单。处理有限裂面反射问题 ,考虑自裂面反射的声能以柱面波形式辐射 ,从而导出与信号幅度成正比的总声压。给出了表面波反射的理论结果 ,并得到比较满意的实验验证。

On the basis of Rayleigh wave theory, assuming the surface waves propagating in the form of cylindrical waves and considering the law of particle displacement amplitudes attenuating exponentially by depth and the property of acoustic field being basically within two wave lengths, the problem of end (infinite boundary) reflected acoustic pressure was simple to handle. The reflected acoustic energy from cracked surface in the form of cylindrical waves was adopted to deal with the problem of the acoustic reflection from finite cracked surface. Thus, the acoustic pressure which was directly proportional to signal amplitude was deduced. The theoretical results of surface wave reflection were given and well verified by experiments.