标题： 电磁波和引力波通过带电黑洞的散射和转换：Regge极点描述 显示英文标题

标题： Scattering and conversion of electromagnetic and gravitational waves by Reissner-Nordström black holes: The Regge pole description

摘要： 我们使用Regge极点描述法，即复角动量方法，研究单色平面引力波和电磁波入射到Reissner-Nordström黑洞时的散射和转换问题。为此，我们首先数值计算了不同电荷与质量比配置下的Regge极谱。然后，我们推导了最低Regge极点的渐近表达式，并通过考虑Bohr-Sommerfeld型量子化条件，从Regge轨迹中得到弱阻尼准正则频率的谱。接下来，我们使用复角动量表示和部分波展开方法，构建了不同过程的散射和转换振幅以及总微分截面。最后，我们基于对应Regge极点，“表面波”在光子（引力子）球附近传播，从最低Regge极点的渐近表达式和相关残数出发，提供了不同过程的散射和转换截面的解析近似。这使我们能够提取部分波展开中编码的物理解释，在高频区域（即短波长区域），并以非常好的一致性半经典地描述黑洞光辉和轨道振荡的大部分，从而从纯粹的波的观点统一了这两种现象。 显示英文摘要

摘要： We investigate the problem of scattering and conversion of monochromatic planar gravitational and electromagnetic waves impinging upon a Reissner-Nordstr\"om black hole using a Regge pole description, i.e., a complex angular momentum approach. For this purpose, we first compute numerically the Regge pole spectrum for various charge-to-mass ratio configurations. We then derive an asymptotic expressions for the lowest Regge poles, and by considering Bohr-Sommerfeld-type quantization conditions, obtain the spectrum of weakly damped quasinormal frequencies from the Regge trajectories. Next, we construct the scattering and conversion amplitudes as well as the total differential cross sections for different processes using both a complex angular momentum representation and a partial wave expansion method. Finally, we provide an analytical approximation of the scattering and conversion cross sections of different processes from asymptotic expressions for the lowest Regge poles and the associated residues based on the correspondence Regge poles, "surface waves" propagating close to the photon (graviton) sphere. This allows us to extract the physical interpretation encoded in the partial wave expansions in the high-frequency regime (i.e., in the short-wavelength regime), and to describe semiclassically with very good agreement both black hole glory and a large part of the orbiting oscillations, thus unifying these two phenomena from a purely wave point of view.