论文标题
Pulsar-Timing-Array观察中的两极分化随机重力波背景的时机占用功率谱
Timing-residual power spectrum of a polarized stochastic gravitational-wave background in pulsar-timing-array observation
论文作者
论文摘要
我们研究了球形谐波空间中脉冲星阵列制造的随机重力波背景（SGWB）的观察。我们没有使用夏皮罗时间延迟，而是保留Sachs-Wolfe的视线线组成部分，用于观察到的Pulsar的定时残留。我们得出了定时残差的功率谱，从中构建了针对SGWB强度和极化各向异性的重叠函数和双极球形谐波系数。我们已经重现了先前的结果，并指出我们已经开发了一种快速算法来计算准确的重叠函数，并且首次研究了线性偏置各向异性的双极球形谐波系数。我们的谐波空间方法可用于几千种脉冲星对未来的脉冲星阵列观察，并提供了测试SGWB统计各向同性的最佳估计器。
We study the observation of stochastic gravitational-wave background (SGWB) made by pulsar-timing arrays in the spherical harmonic space. Instead of using the Shapiro time delay, we keep the Sachs-Wolfe line-of-sight integral for the timing residual of an observed pulsar. We derive the power spectrum of the timing residual, from which the overlap reduction functions and the bipolar spherical harmonics coefficients are constructed for the SGWB intensity and polarization anisotropies. We have reproduced the previous results, noting that we have developed a fast algorithm for computing accurate overlap reduction functions and the bipolar spherical harmonics coefficients for the linear-polarization anisotropy are worked out for the first time. Our harmonic-space method is useful for future pulsar-timing-array observation on a few thousand pulsars and provides optimal estimators for testing the statistical isotropy of the SGWB.
