论文标题
完整的分析公式,用于空间重力波检测器的频率响应
Full analytical formulas for frequency response of space-based gravitational wave detectors
论文作者
论文摘要
引力波的发现是时空本身的涟漪,打开了一个新的窗口来测试一般相对性,因为它预测,引力波只有加分和交叉极化。对于替代性重力理论,可能有多达六个极化。极化的测量是未来重力波探测器的主要科学目标之一。为了评估检测器的能力,我们需要使用源方向和极化角度平均频率响应函数。我们为所有六个可能的极化的平均响应函数的完整分析公式提供了完整的分析公式,并根据这些分析公式呈现其渐近行为。与数值模拟相比,完整的分析公式对于任何相等的干涉重力波检测器都更有效,有效,而在手臂中没有光学腔和时间延迟式间隙测定法米歇尔森组合。
The discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative theories of gravity, there may be up to six polarizations. The measurement of the polarization is one of the major scientific goals for future gravitational wave detectors. To evaluate the capability of the detector, we need to use the frequency dependent response functions averaged over the source direction and polarization angle. We derive the full analytical formulas of the averaged response functions for all six possible polarizations and present their asymptotic behaviors based on these analytical formulas. Compared with the numerical simulation, the full analytical formulas are more efficient and valid for any equal-arm interferometric gravitational wave detector without optical cavities in the arms and for a time-delay-interferometry Michelson combination.