The coherent nature of gravitational wave emanating from a compact binary system makes it possible to detect some interference patterns in two (or more) signals registered simultaneously by the detector. Gravitational lensing effect can be used to bend trajectories of gravitational waves, which might reach the detector at the same time. Once this happens, a beat pattern may form, and can be used to obtain the luminosity distance of the source, the lens mass, and cosmological parameters such as the Hubble constant. Crucial question is how many such kind of events could be detected. In this work, we study this issue for the future space-borne detectors: DECIGO and its downscale version, B-DECIGO. It is found out that there can be a few tens to a few hundreds of lensed gravitational wave events with the beat pattern observed by DECIGO and B-DECIGO per year, depending on the evolution scenario leading to the formation of double compact objects. In particular, black hole-black hole binaries are dominating population of lensed sources in which beat patterns may reveal. However, DECIGO could also register a considerable amount of lensed signals from binary neutron stars, which might be accompanied by electromagnetic counterparts. Our results suggest that, in the future, lensed gravitational wave signal with the beat pattern could play an important role in cosmology and astrophysics.

中文翻译：

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显示DECIGO和B-DECIGO可检测到的拍子模式的引力波信号的透镜率

从紧凑的二进制系统发出的引力波的相干特性使得可以检测到由检测器同时记录的两个（或多个）信号中的某些干涉图样。引力透镜效应可用于弯曲可能同时到达检测器的重力波轨迹。一旦发生这种情况，就会形成一个拍子图案，并可以用来获取光源的光度距离，透镜质量和诸如哈勃常数的宇宙学参数。关键问题是可以检测到多少种此类事件。在这项工作中，我们为未来的星载探测器研究了这一问题：DECIGO及其降级版本B-DECIGO。已经发现，根据导致双紧凑物体形成的演化情况，每年可能有几十到几百个带有DECIGO和B-DECIGO观测到的节拍模式的透镜重力波事件。尤其是，黑洞-黑洞二进制文件占主导地位的镜头源可能会显示出节拍模式。但是，DECIGO还可以记录来自双星中子星的大量透镜信号，这些信号可能伴有电磁对应物。我们的结果表明，将来，具有节拍模式的透镜重力波信号可能在宇宙学和天体物理学中发挥重要作用。黑洞-黑洞二进制文件占主导地位的镜头源可能会发现节拍模式。但是，DECIGO还可以记录来自双星中子星的大量透镜信号，这些信号可能伴有电磁对应物。我们的结果表明，将来，具有节拍模式的透镜重力波信号可能在宇宙学和天体物理学中发挥重要作用。黑洞-黑洞二进制文件占主导地位的镜头源可能会发现节拍模式。但是，DECIGO还可以记录来自双星中子星的大量透镜信号，这些信号可能伴有电磁对应物。我们的结果表明，将来，具有节拍模式的透镜重力波信号可能在宇宙学和天体物理学中发挥重要作用。