TY - JOUR

T1 - Geometric tilt-to-length coupling in precision interferometry: mechanisms and analytical descriptions

AU - Hartig, Marie-Sophie

AU - Schuster, Sönke

AU - Wanner, Gudrun

N1 - Funding Information: We thank Gerhard Heinzel for valuable discussions. This work was made possible by funds of both the Deutsche Forschungsgemeinschaft (DFG) and the German Space Agency, DLR. We gratefully acknowledge the Deutsche Forschungsgemeinschaft (DFG) for funding the Sonderforschungsbereich (SFB 1128: geo-Q) ‘Relativistic Geodesy and Gravimetry with Quantum Sensors’, project A05 and all work contributions to this paper made by Sönke Schuster. Furthermore, we acknowledge DFG for funding the Clusters of Excellence PhoenixD (EXC 2122, Project ID 390833453) and QuantumFrontiers (EXC 2123, Project ID 390837967). Likewise, we gratefully acknowledge the German Space Agency, DLR and support by the Federal Ministry for Economic Affairs and Energy based on a resolution of the German Bundestag (FKZ 50OQ1801). Finally, we would like to acknowledge the Max Planck Society (MPG) for supporting the framework LEGACY on low-frequency gravitational wave astronomy, a cooperation between the Chinese Academy of Sciences (CAS) and the MPG (M.IF.A.QOP18098).

PY - 2022/5/5

Y1 - 2022/5/5

N2 - Tilt-To-length (TTL) coupling is a technical term for the cross-coupling of angular or lateral jitter into an interferometric phase signal. It is an important noise source in precision interferometers and originates either from changes in the optical path lengths or from wavefront and clipping effects. Within this paper, we focus on geometric TTL coupling and categorise it into a number of different mechanisms for which we give analytic expressions. We then show that this geometric description is not always sufficient to predict the TTL coupling noise within an interferometer. We, therefore, discuss how understanding the geometric effects allows TTL noise reduction already by smart design choices. Additionally, they can be used to counteract the total measured TTL noise in a system. The presented content applies to a large variety of precision interferometers, including space gravitational wave detectors like LISA.

AB - Tilt-To-length (TTL) coupling is a technical term for the cross-coupling of angular or lateral jitter into an interferometric phase signal. It is an important noise source in precision interferometers and originates either from changes in the optical path lengths or from wavefront and clipping effects. Within this paper, we focus on geometric TTL coupling and categorise it into a number of different mechanisms for which we give analytic expressions. We then show that this geometric description is not always sufficient to predict the TTL coupling noise within an interferometer. We, therefore, discuss how understanding the geometric effects allows TTL noise reduction already by smart design choices. Additionally, they can be used to counteract the total measured TTL noise in a system. The presented content applies to a large variety of precision interferometers, including space gravitational wave detectors like LISA.

KW - Gravitational wave detection

KW - Interferometric noise sources

KW - Laser interferometry

KW - LISA

KW - Optical cross talk

KW - Space interferometry

KW - Tilt-To-length coupling

UR - http://www.scopus.com/inward/record.url?scp=85130365978&partnerID=8YFLogxK

U2 - 10.1088/2040-8986/ac675e

DO - 10.1088/2040-8986/ac675e

M3 - Article

VL - 24

JO - Journal of Optics

JF - Journal of Optics

SN - 2040-8978

IS - 6

M1 - 065601

ER -