@Article{CostaMaga:2015:OvAnSo,
author = "Costa, Carlos Filipe da Silva and Magalh{\~a}es, Nadja S.",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and
{Universidade Federal de S{\~a}o Paulo (UNIFESP)}",
title = "Overcoming analytic solution limitations in gravitational wave
direction determination",
journal = "Classical and Quantum Gravity",
year = "2015",
volume = "32",
number = "095006",
month = "1-18",
keywords = "Direction reconstruction, Gravitational waves, Inverse problem,
Low latency analysis.",
abstract = "Determining the direction of a gravitational wave (GW) source is
necessary for confrontations between a candidate GW signal and its
electromagnetic counterpart. In the context of low latency
pipelines it is assumed that analytic solutions (based on the GW
matrix reconstruction) can efficiently provide the GW direction.
However, we identified that such analytic solutions present
theoretical and practical limitations (indeterminacies) which were
not previously mentioned in the literature. Under realistic
conditions, we identified that for certain incoming directions,
such solutions are unable to recover them. Therefore, we provide
here for the first time a full review of these indeterminacy cases
and explain their origins. We then propose a mathematical
procedure that reduces such indeterminacies. Taking into account
the constraining requirements of a low latency pipeline, we
developed a method that requires the least computational power to
retrieve GW directions. The mathematical considerations and method
principle can be applied to any system of detectors able to
reconstruct the GW matrix. We tested it on simulated data of the
Schenberg GW detector. The results show that this method cancels
out indeterminacies and the direction resolution \σ
(\δs) is limited by a 1/SNR law for any incoming direction.
Thus it retrieves a remarkable advantage of the spherical GW
antenna: the possibility of an isotropic direction
determination.",
doi = "10.1088/0264-9381/32/9/095006",
url = "http://dx.doi.org/10.1088/0264-9381/32/9/095006",
issn = "0264-9381",
language = "en",
targetfile = "silva costa_overcoming.pdf",
urlaccessdate = "27 abr. 2024"
}