光与双致密天体引力波相互作用的几何光学分析
Geometrical-optics analysis of the interaction between light and gravitational waves from binaries
AI总结：
该研究采用弯曲时空几何光学方法，分析双致密天体近邻发出的光与该天体引力波的相互作用，重点探究引力法拉第旋转效应，为引力波光学效应研究提供理论支撑。
摘要：
我们研究了双致密天体近邻区域发出的光与该双致密天体产生的引力波发生相互作用的场景（例如类星体中的超大质量黑洞双星、双脉冲星等）。该效应会在光传播的长路径上累积，若相互作用最初发生在引力波源附近（此处应变振幅较大），其效应可能十分显著。该场景可通过球面引力波（即横向无迹径向传播波）有效建模，其应变振幅随波源到光与引力波两个波前相遇场点的距离变化。我们的分析采用弯曲时空中的几何光学方法，其中时空曲率由在平直时空背景中传播的引力波导致。我们特别关注由双致密天体引力波与光相互作用产生的引力法拉第旋转（又称Skrotskii/Rytov效应）的影响。
英文摘要：
We consider a situation in which light emitted from the neighborhood of a binary interacts with gravitational waves from the binary (e.g., a supermassive black hole binary in a quasar, a binary pulsar, etc.). The effect is cumulative over the long path lengths of light propagation and might be appreciable if the interaction initially takes place close to the source of gravitational waves, where the strain amplitude can be large. This situation can be modeled effectively using spherical gravitational waves (i.e., transverse-traceless radially propagating waves), with the strain amplitude varying with the distance from the source to a field point where the two wavefronts of light and gravitational waves meet each other. Our analysis employs geometrical-optics methods in curved spacetime, where the curvature is due to gravitational waves propagating in a flat spacetime background. We place a particular focus on the effect of gravitational Faraday rotation (or Skrotskii/Rytov effect) resulting from the interaction between light and gravitational waves from binaries.
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