Estimate of the Detectability of the Circular Polarisation Signature of Supernova Gravitational Waves Using the Stokes Parameters. (arXiv:2008.01984v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Chan_M/0/1/0/all/0/1">Man Leong Chan</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Hayama_K/0/1/0/all/0/1">Kazuhiro Hayama</a>

The circular polarisation of gravitational waves from core collapse
supernovae has been proposed as a probe to investigate the rotation and
physical features inside the core of the supernovae. However, it is still
unclear as to how detectable the circular polarisation of gravitational waves
will be. We developed an algorithm referred to as the Stokes Circular
Polarisation algorithm for the computation of the Stokes parameters that works
with the burst search pipeline coherent WaveBurst. Employing the waveform SFHx
and the algorithm, we estimate the detectability of the circular polarisation
signatures (V mode of the Stokes parameters) for sources across the sky at
three different distances 2, 5, and 10 kpc, for a network of gravitational wave
detectors consisted of advanced LIGO, advanced VIRGO and KAGRA. Using the Bayes
factor, we found that for 2 kpc and 5 kpc, the majority of the sources (99.9%
and 58.2% respectively) will have their V mode detectable, while for 10 kpc, no
significant V mode is detectable. In addition, the significance of the V mode
signature are consistent with the recoverability of the two polarisations of
gravitational waves with respect to the network.

The circular polarisation of gravitational waves from core collapse
supernovae has been proposed as a probe to investigate the rotation and
physical features inside the core of the supernovae. However, it is still
unclear as to how detectable the circular polarisation of gravitational waves
will be. We developed an algorithm referred to as the Stokes Circular
Polarisation algorithm for the computation of the Stokes parameters that works
with the burst search pipeline coherent WaveBurst. Employing the waveform SFHx
and the algorithm, we estimate the detectability of the circular polarisation
signatures (V mode of the Stokes parameters) for sources across the sky at
three different distances 2, 5, and 10 kpc, for a network of gravitational wave
detectors consisted of advanced LIGO, advanced VIRGO and KAGRA. Using the Bayes
factor, we found that for 2 kpc and 5 kpc, the majority of the sources (99.9%
and 58.2% respectively) will have their V mode detectable, while for 10 kpc, no
significant V mode is detectable. In addition, the significance of the V mode
signature are consistent with the recoverability of the two polarisations of
gravitational waves with respect to the network.

http://arxiv.org/icons/sfx.gif