Models of the coupling of electromagnetic and gravitational fields have been studied extensively for many years. In this paper, we consider the coupling between the Maxwell field and the Weyl tensor of the gravitational field to study how the wavevector of the electromagnetic wave is affected by a plane gravitational wave. We find that the wavevector depends upon the frequency and direction of polarization of the electromagnetic waves, the parameter that couples the Maxwell field and the Weyl tensor, and the angle between the direction of propagation of the electromagnetic wave and the coordinate axis. The results show that this coupling model can be tested by the detection of high-frequency gravitational waves.

电磁场和重力场的耦合模型已被广泛研究了很多年。在本文中，我们考虑了麦克斯韦场与引力场的韦尔张量之间的耦合，以研究电磁波的波矢如何受到平面引力波的影响。我们发现，波矢取决于电磁波的极化频率和方向，麦克斯韦场和韦尔张量耦合的参数以及电磁波的传播方向与坐标轴之间的夹角。结果表明，该耦合模型可以通过检测高频引力波来测试。