Tackling excess noise from bilinear and nonlinear couplings in gravitational-wave interferometers
Sukanta Bose, Bernard Hall, Nairwita Mazumder, Sanjeev Dhurandhar,, Anuradha Gupta, and Andrew Lundgren

TL;DR
This paper presents improved tools for detecting and characterizing excess noise caused by nonlinear couplings in gravitational-wave interferometers, aiding in noise mitigation and sensitivity enhancement.
Contribution
It introduces advanced detection and higher-order statistics tools to analyze nonlinear couplings in LIGO data, facilitating noise identification and mitigation strategies.
Findings
Effective detection of excess noise from nonlinear couplings
Characterization of coupling frequencies using higher-order statistics
Assessment of transient noise impact on astrophysical searches
Abstract
We describe a tool we improved to detect excess noise in the gravitational wave (GW) channel arising from its bilinear or nonlinear coupling with fluctuations of various components of a GW interferometer and its environment. We also describe a higher-order statistics tool we developed to characterize these couplings, e.g., by unraveling the frequencies of the fluctuations contributing to such noise, and demonstrate its utility by applying it to understand nonlinear couplings in Advanced LIGO engineering data. Once such noise is detected, it is highly desirable to remove it or correct for it. Such action in the past has been shown to improve the sensitivity of the instrument in searches of astrophysical signals. If this is not possible, then steps must be taken to mitigate its influence, e.g., by characterizing its effect on astrophysical searches. We illustrate this through a study of…
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