利用地面探测器测量各向同性随机引力波背景的最大允许极化态
Measuring the maximally allowed polarization states of the isotropic stochastic gravitational wave background with the ground-based detectors
AI总结：
本文研究了第二代探测器网络对各向同性引力波背景的极化测量，发现重叠约化函数间的新关系会阻碍低频区的代数分解，并指出加入 LIGO-India 可显著提升对奇谱分量的网络灵敏度。
摘要：
我们讨论了利用第二代探测器网络对各向同性引力波背景的极化研究，特别关注加入 LIGO-India 的影响。该背景最多可由五个谱分量表征（三个偶宇称分量和两个奇宇称分量）。它们可通过各独立谱所定义的重叠约化函数之差进行代数分解。我们新发现了重叠约化函数间的两个有趣关系，这些关系通常会阻碍低频区（$f \lesssim 30$Hz）的代数分解。我们还发现 LIGO-India 能显著提升网络对奇谱分量的灵敏度。
英文摘要：
We discuss the polarizational study of isotropic gravitational wave backgrounds with the second generation detector network, paying special attention to the impacts of adding LIGO-India. The backgrounds can be characterized by at most five spectral components (three parity-even ones and two parity-odd ones). They can be algebraically decomposed through the difference of the corresponding overlap reduction functions defined for the individual spectra. We newly identify two interesting relations between the overlap reduction functions, and these relations generally hamper the algebraic decomposition in the low frequency regime $f \lesssim 30$Hz. We also find that LIGO-India can significantly improve the network sensitives to the odd spectral components.
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