Spherical harmonic analysis of anisotropies in polarized stochastic gravitational wave background with interferometry experiments. (arXiv:2002.01606v3 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Chu_Y/0/1/0/all/0/1">Yu-Kuang Chu</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Liu_G/0/1/0/all/0/1">Guo-Chin Liu</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Ng_K/0/1/0/all/0/1">Kin-Wang Ng</a>
We study the interferometric observation of intensity and polarization
anisotropies of a stochastic gravitational wave background (SGWB). We show that
the observed correlated data is defined in the group manifold of the
three-dimensional rotation. Explicit correlation between two detectors in the
interferometry experiments such as LIGO-Virgo and KAGRA is constructed in terms
of the Wigner D-functions. Our results may provide a tool for constructing data
pipelines to estimate the power spectra of the SGWB anisotropies.
We study the interferometric observation of intensity and polarization
anisotropies of a stochastic gravitational wave background (SGWB). We show that
the observed correlated data is defined in the group manifold of the
three-dimensional rotation. Explicit correlation between two detectors in the
interferometry experiments such as LIGO-Virgo and KAGRA is constructed in terms
of the Wigner D-functions. Our results may provide a tool for constructing data
pipelines to estimate the power spectra of the SGWB anisotropies.
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