Finite element modelling of the mechanical loss of silica suspension fibres for advanced gravitational wave detectors

Detection of gravitational waves remains one of the most challenging problems faced by experimental physicists. One of the most significant limits to the sensitivity of current, and future, long-baseline interferometric gravitational wave detectors is thermal displacement noise of the test masses and their suspensions. Detector suspension thermal noise will be an important noise source at operating frequencies between approximately 10 and 30 Hz, and results from a combination of thermoelastic damping, surface and bulk losses associated with the suspension fibres. However its effects can be reduced by minimizing the thermoelastic loss and optimization of pendulum dilution factor via appropriate choice of suspension fibre and attachment geometry. This paper will discuss finite element modelling and associated analysis of the loss in quasi-monolithic silica fibre suspensions for future advanced gravitational wave detectors.