Earth’s rotation affects wave propagation to first order in the rotation through the Coriolis force. The imprint of rotation on wave motion has been accounted for in normal mode theory. By extending the theory to propagating surface waves we account for the imprint of rotation as a function of propagation distance. We describe the change in phase velocity and polarization, and the mode conversion of surface waves by Earth’s rotation by extending the formalism of Kennett for surface wave mode conversion due to lateral heterogeneity to include the Coriolis force. The wavenumber of Rayleigh waves is changed by Earth’s rotation and Rayleigh waves acquire a transverse component. The wavenumber of Love waves in not affected by Earth’s rotation, but Love waves acquire a small additional Rayleigh wave polarization. In contrast to different Rayleigh wave modes, different Love wave modes are not coupled by Earth’s rotation. We show that the backscattering of surface waves by Earth’s rotation is weak. The coupling between Rayleigh waves and Love waves is strong when the phase velocities of these modes are close. In that regime of resonant coupling, Earth’s rotation causes the difference between the Rayleigh wave and Love wave phase velocities that are coupled to increase through the process of level-repulsion.

中文翻译：

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由于地球自转，表面波的局部耦合和转换。第1部分：理论

地球的自转会通过科里奥利力将波的传播传播到一级。在正常模式理论中已经解释了旋转对波动的影响。通过将理论扩展到传播的表面波，我们解释了旋转的烙印随传播距离的变化。我们通过扩展Kennett的形式主义来描述由于横向不均匀性引起的表面波模式转换，包括科里奥利力，从而描述了相速度和极化的变化以及地球自转引起的表面波模式转换。瑞利波的波数随地球自转而变化，瑞利波获得横向分量。Love波的波数不受地球自转的影响，但是Love波会获得少量的附加瑞利波极化。与不同的瑞利波模相反，不同的洛夫波模不受地球自转耦合。我们证明了地球自转对表面波的反向散射是微弱的。当这些模式的相速度接近时，瑞利波和洛夫波之间的耦合很强。在那个政权共振耦合，地球的自转会引起瑞利波和洛夫波的相速度之差，这些相速度会通过水平推斥过程而增大。