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arXiv 2301.02672gr-qcastro-ph.HEastro-ph.IMastro-ph.SR
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探测引力波的外差效应

Detecting the heterodyning of gravitational waves

Jakob Stegmann, Sander M. Vermeulen

AI总结:

本文提出通过相干叠加众多准单色信号互谱来提取低频引力波频率调制的方法,并评估其在LISA与未来DECIGO场景中的探测潜力。

摘要:

引力波会调制其他周期性信号的表观频率。因此,低频引力波可以通过观测来自更高频率源的信号中的频率调制来探测,例如用LISA引力波探测器探测到的双白矮星信号。我们提出了一种具体方法,通过相干叠加大量分辨良好的准单色信号的互谱来提取这些调制。我们将该方法应用于LISA情形,并发现在目前对银河系双白矮星的数量和性质以及仪器灵敏度的预测下,该方法将能够探测到例如频率F≈10^-8 Hz处、应变振幅A≈10^-10的背景引力波。我们还估计(在一个数量级以内),当使用来自双中子星的信号时——例如预期由DECIGO等拟建探测器观测到的那些信号——该方法有可能与当前脉冲星计时阵列的方法相竞争。我们的结果表明,引力波探测器利用相同基础设施,可在其设计带宽之外的频率上保持灵敏度,这有望打开引力波谱中未经探索且以其他方式无法触及的部分。

英文摘要:

Gravitational waves modulate the apparent frequencies of other periodic signals. Low-frequency gravitational waves could therefore be detected by observing frequency modulations in signals from higher-frequency sources, e.g., those from binary white dwarfs detected with the LISA gravitational-wave detector. We propose a concrete method to extract these modulations by coherently adding the cross-spectra of a large number of well-resolved quasi-monochromatic signals. We apply this method to the case of LISA, and find this method would enable the detection of background gravitational wave strain amplitudes of, e.g., $A\simeq10^{-10}$ at a frequency $F\simeq10^{-8}\,\rm Hz$, given current projections for the number and properties of Galactic binary white dwarfs and the sensitivity of the instrument. We also estimate (to within an order of magnitude) that this method could potentially compete with that of current Pulsar Timing Arrays when using signals from binary neutron stars such as those expected to be observed with proposed detectors like DECIGO. Our results show that gravitational-wave detectors could be sensitive at frequencies outside of their designed bandwidth using the same infrastructure, which has the potential to open up unexplored and otherwise inaccessible parts of the gravitational wave spectrum.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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