论文标题

重力波的二元重力镜头的振幅调制

Amplitude modulation in binary gravitational lensing of gravitational waves

论文作者

Qiu, Yi, Wang, Ke, He, Jian-hua

论文摘要

我们研究了由使用时域数值模拟的镜头组成的系统,该系统由二元黑洞组成的系统镜头的重力波(GWS)的可检测性。该系统的重力镜头潜力不再是静态的,而是随着时间的推移而发展的。当来自源的GW通过二进制镜头时,它们的幅度可以调节,这与无线电通信中振幅调制(AM)的现象相似。我们发现,即使是二进制镜头本身的频率太低,无法通过Lisa检测带检测到,由于AM引起的镜头GWS频谱中的侧带仍然可以在检测带的敏感范围内。此外,我们还计算了镜头和释放GW之间SNR(不匹配)的相对差异。我们发现{\ it不匹配}可能高达9.18%。由于不匹配不取决于波的幅度,因此二进制镜头和未透镜波形之间的差异很大。这提供了一种强大的方法来确定将来丽莎项目的镜头事件。

We investigate the detectability of gravitational waves (GWs) lensed by a system that consists of binary black holes as lenses using time-domain numerical simulations. The gravitational lensing potential of this system is no longer static but evolves with time. When GWs from the source pass through the binary lens, their amplitudes can be modulated, which is similar to the phenomenon of amplitude modulation (AM) in radio communication. We find that even the frequency of the binary lens itself is too low to be detected by the LISA detection band, the sidebands in the spectrum of the lensed GWs due to AM can still be within the sensitive range of the detection band. Moreover, we also calculate the relative differences of SNR (mismatch) between the lensed and unlensed GWs. We find that the {\it mismatch} can be as significant as 9.18%. Since mismatch does not depend on the amplitude of wavefrom, the differences between the binary lensed and unlensed waveforms are substantial. This provides a robust way to identify the lensing event for the LISA project in the future.

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