论文标题
准模式过滤器：一种分析二进制黑孔合并重力波的新方法
Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers
论文作者
论文摘要
我们提出了两个频域过滤器，以分析二进制黑洞合并的响声信号。第一个理性滤波器是根据残留黑洞的一组（任意）准正常模式（QNM）构造的，而第二个完整的滤镜来自残余黑洞的透射率。这两个过滤器可以从原始的时域响铃中删除相应的QNM，同时以微不足道的方式更改了Inspiral信号 - 仅仅是时间和相移。滤除显性QNM后，我们可以可视化各种亚辅助效应的存在。例如，通过将过滤器应用于GW150914样数值相对论（NR）波形，我们在（L = 4，M = 4），（L = 5，M = 4）和（L = 5，M = 5）和谐量中找到二阶效应； （L = 2，M = 2）谐波中的球形 - 球形混合模式；并在重力后坐力引起的（L = 2，M = 1）谐波中的混合模式。在另一个NR模拟中，两个组件旋转与轨道角动量抗对齐，我们还找到了逆行模式。过滤器对残余特性（即质量和自旋）敏感，因此在未来的数据分析和参数估计中具有潜在的应用。我们还研究了完整过滤器的稳定性。讨论了它与QNM光谱的不稳定性的联系。
We propose two frequency-domain filters to analyze ringdown signals of binary black hole mergers. The first rational filter is constructed based on a set of (arbitrary) quasi-normal modes (QNMs) of the remnant black holes, whereas the second full filter comes from the transmissivity of the remnant black holes. The two filters can remove corresponding QNMs from original time-domain ringdowns, while changing early inspiral signals in a trivial way - merely a time and phase shift. After filtering out dominant QNMs, we can visualize the existence of various subdominant effects. For example, by applying our filters to a GW150914-like numerical relativity (NR) waveform, we find second-order effects in the (l = 4, m = 4), (l = 5, m = 4) and (l = 5, m = 5) harmonics; the spherical-spheroidal mixing mode in the (l = 2,m = 2) harmonic; and a mixing mode in the (l = 2,m = 1) harmonic due to a gravitational recoil. In another NR simulation where two component spins are anti-aligned with the orbital angular momentum, we also find retrograde modes. The filters are sensitive to the remnant properties (i.e., mass and spin) and thus have a potential application to future data analyses and parameter estimations. We also investigate the stability of the full filter. Its connection to the instability of QNM spectra is discussed.
