On the noise effect of test mass surface roughness in spaceborne gravitational wave detectors
arXiv:2305.17471 · doi:10.1103/PhysRevD.108.042001
Abstract
Spaceborne gravitational wave detection mission has a demanding requirement for the precision of displacement sensing, which is conducted by the interaction between the laser field and test mass. However, due to the roughness of the reflecting surface of the test mass, the displacement measurement along the sensitive axis suffers a coupling error caused by the residue motion of other degrees of freedom. In this article, we model the coupling of the test mass residue random motion to the displacement sensing along the sensitive axis and derived an analytical formula of the required precision of the surface error for the spaceborne gravitational wave detectors. Our result shows that this coupling error will not contaminate the picometer displacement sensing for the test masses in the LISA pathfinder.
arXiv comment8 pages
References in corpus (11)
- TianQin: a space-borne gravitational wave detector
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Squeezed states of light and their applications in laser interferometers
- Achieving geodetic motion for LISA test masses: ground testing result
- LISA Pathfinder Platform Stability and Drag-free Performance
- A New Family of Light Beams and Mirror Shapes for Future LIGO Interferometers
- Generation of very high-order high purity Gaussian modes via spatial light modulation
- Effects of Mirror Aberrations on Laguerre-Gaussian Beams in Interferometric Gravitational-Wave Detectors
- Optimal Light Beams and Mirror Shapes for Future LIGO Interferometers
- The LISA interferometer: impact of stray light on the phase of the heterodyne signal
- Power coupling losses for misaligned and mode-mismatched higher-order Hermite-Gauss modes