论文标题
测量重力波高阶模式
Measuring gravitational-wave higher-order modes
论文作者
论文摘要
我们研究了在二进制黑洞结合期间发出的重力波信号中较高谐波的可观察性。我们将每个模式分解为整体幅度，取决于系统的质量和旋转，以及取决于源的倾斜度和极化的方向依赖性项。使用这种分解，我们研究了较高模式在参数空间上的重要性，并表明$ \ ell = 3 $，$ m = 3 $模式在基于地面的基于地面的干涉探测器的许多敏感频带中最为重要，其中$ \ el = 4 $，$ m = 4 $在高质量上具有重要贡献。我们介绍了较高的模式信噪比（SNR），并表明该SNR上的简单阈值可以用作观察较高谐波的标准。最后，我们研究了二进制群体中的可观察性，并观察到只有在几个百分之几的二进制文件中才能观察到较高的谐波，通常是那些肿块不平等的二进制文件，并且接近边缘。
We investigate the observability of higher harmonics in gravitational wave signals emitted during the coalescence of binary black holes. We decompose each mode into an overall amplitude, dependent upon the masses and spins of the system, and an orientation-dependent term, dependent upon the inclination and polarization of the source. Using this decomposition, we investigate the significance of higher modes over the parameter space and show that the $\ell = 3$, $m = 3$ mode is most significant across much of the sensitive band of ground-based interferometric detectors, with the $\ell = 4$, $m = 4$ having a significant contribution at high masses. We introduce the higher mode signal-to-noise ratio (SNR), and show that a simple threshold on this SNR can be used as a criterion for observation of higher harmonics. Finally, we investigate observability in a population of binaries and observe that higher harmonics will only be observable in a few percent of binaries, typically those with unequal masses and viewed close to edge-on.
