论文标题
信号有限距离和一般速度的信号的扰动挠度角
Perturbative deflection angle for signal with finite distance and general velocities
论文作者
论文摘要
我们提出了一种扰动方法，以计算有限距离的源和检测器的空颗粒的偏转角。该方法普遍适用于在固定轴对称空间或静态球形对称空间的赤道平面中具有一般速度的颗粒运动。最终的挠度角自动排列为撞击参数的准内序列形式，其系数取决于度量函数，信号速度以及源和检测器位置通过明显的角度。在较大的撞击参数极限中，串联系数被降低为零阶的明显角度的正弦/余弦函数的合理函数。
We propose a perturbative method to compute the deflection angle of both null and massive particles for source and detector at finite distance. This method applies universally to the motion of particles with general velocity in the equatorial plane of stationary axisymmetric spacetimes or static spherical symmetric spacetimes that are asymptotically flat. The resultant deflection angle automatically arranges into a quasi-inverse series form of the impact parameter, with coefficients depending on the metric functions, the signal velocity and the source and detector locations through the apparent angles. In the large impact parameter limit, the series coefficients are reduced to rational functions of sine/cosine functions of the zero order apparent angle.
