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Title: Optimizing the longitudinal isolation for LIGO-style test mass suspensions
Abstract We derive the design of a multi-stage mirror suspension which gives optimal isolation performance for upgrades to the Advanced Laser Interferometer Gravitational-wave Observatory (LIGO). This optimization is only constrained by length, optic mass and total suspension mass. We find that the optimally-isolating suspension withNmasses, fixed total mass M tot , total length L tot , and bottom mass m b , has equal distances between suspended masses, equal ratios between successive suspended payloads, and a highest resonance scaling as ω N 2 4 g [ L tot ln ( M tot / m b ) ] 1 N ( N 1 ) . This optimization was used to guide the conceptual design for the next planned upgrade, LIGO A # . That conceptual design has several additional constraints, but we show that the isolation performance is within 20% of the theoretical best performance achievable. Additionally, the principles derived from the general optimization are broadly applicable and can be used to inform suspension design for other instruments requiring high-performance vibration isolation, including third-generation gravitational wave observatories such as Cosmic Explorer.  more » « less
Award ID(s):
2309161
PAR ID:
10653954
Author(s) / Creator(s):
; ;
Publisher / Repository:
IOP Publishing Ltd
Date Published:
Journal Name:
Classical and Quantum Gravity
Volume:
42
Issue:
16
ISSN:
0264-9381
Page Range / eLocation ID:
165007
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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