Details
| Original language | English |
|---|---|
| Article number | 055601 |
| Journal | Journal of Optics (United Kingdom) |
| Volume | 25 |
| Issue number | 5 |
| Early online date | 6 Apr 2023 |
| Publication status | Published - May 2023 |
Abstract
This paper is the second in a set of two investigating tilt-to-length (TTL) coupling. TTL describes the cross-coupling of angular or translational jitter into an interferometric phase signal and is an important noise source in precision interferometers, including space gravitational wave detectors like LISA. We discussed in Hartig et al (2022 J. Opt. 24 065601) the TTL coupling effects originating from optical path length changes, i.e. geometric TTL coupling. Within this work, we focus on the wavefront and detector geometry dependent TTL coupling, called non-geometric TTL coupling, in the case of two interfering fundamental Gaussian beams. We characterise the coupling originating from the properties of the interfering beams, i.e. their absolute and relative angle at the detector, their relative offset and the individual beam parameters. Furthermore, we discuss the dependency of the TTL coupling on the geometry of the detecting photodiode. Wherever possible, we provide analytical expressions for the expected TTL coupling effects. We investigate the non-geometric coupling effects originating from beam walk due to the angular or translational jitter of a mirror or a receiving system. These effects are directly compared with the corresponding detected optical path length changes in Hartig et al (2022 J. Opt. 24 065601). Both together provide the total interferometric readout. We discuss in which cases the geometric and non-geometric TTL effects cancel one-another. Additionally, we list linear TTL contributions that can be used to counteract other TTL effects. Altogether, our results provide key knowledge to minimise the total TTL coupling noise in experiments by design or realignment.
Keywords
- interferometric noise sources, laser interferometry, LISA, optical cross-talk, space interferometry, tilt-to-length coupling, wavefront properties
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Journal of Optics (United Kingdom), Vol. 25, No. 5, 055601, 05.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-geometric tilt-to-length coupling in precision interferometry: mechanisms and analytical descriptions
AU - Hartig, Marie Sophie
AU - Schuster, Sönke
AU - Heinzel, Gerhard
AU - Wanner, Gudrun
N1 - Funding Information: 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 - 2023/5
Y1 - 2023/5
N2 - This paper is the second in a set of two investigating tilt-to-length (TTL) coupling. TTL describes the cross-coupling of angular or translational jitter into an interferometric phase signal and is an important noise source in precision interferometers, including space gravitational wave detectors like LISA. We discussed in Hartig et al (2022 J. Opt. 24 065601) the TTL coupling effects originating from optical path length changes, i.e. geometric TTL coupling. Within this work, we focus on the wavefront and detector geometry dependent TTL coupling, called non-geometric TTL coupling, in the case of two interfering fundamental Gaussian beams. We characterise the coupling originating from the properties of the interfering beams, i.e. their absolute and relative angle at the detector, their relative offset and the individual beam parameters. Furthermore, we discuss the dependency of the TTL coupling on the geometry of the detecting photodiode. Wherever possible, we provide analytical expressions for the expected TTL coupling effects. We investigate the non-geometric coupling effects originating from beam walk due to the angular or translational jitter of a mirror or a receiving system. These effects are directly compared with the corresponding detected optical path length changes in Hartig et al (2022 J. Opt. 24 065601). Both together provide the total interferometric readout. We discuss in which cases the geometric and non-geometric TTL effects cancel one-another. Additionally, we list linear TTL contributions that can be used to counteract other TTL effects. Altogether, our results provide key knowledge to minimise the total TTL coupling noise in experiments by design or realignment.
AB - This paper is the second in a set of two investigating tilt-to-length (TTL) coupling. TTL describes the cross-coupling of angular or translational jitter into an interferometric phase signal and is an important noise source in precision interferometers, including space gravitational wave detectors like LISA. We discussed in Hartig et al (2022 J. Opt. 24 065601) the TTL coupling effects originating from optical path length changes, i.e. geometric TTL coupling. Within this work, we focus on the wavefront and detector geometry dependent TTL coupling, called non-geometric TTL coupling, in the case of two interfering fundamental Gaussian beams. We characterise the coupling originating from the properties of the interfering beams, i.e. their absolute and relative angle at the detector, their relative offset and the individual beam parameters. Furthermore, we discuss the dependency of the TTL coupling on the geometry of the detecting photodiode. Wherever possible, we provide analytical expressions for the expected TTL coupling effects. We investigate the non-geometric coupling effects originating from beam walk due to the angular or translational jitter of a mirror or a receiving system. These effects are directly compared with the corresponding detected optical path length changes in Hartig et al (2022 J. Opt. 24 065601). Both together provide the total interferometric readout. We discuss in which cases the geometric and non-geometric TTL effects cancel one-another. Additionally, we list linear TTL contributions that can be used to counteract other TTL effects. Altogether, our results provide key knowledge to minimise the total TTL coupling noise in experiments by design or realignment.
KW - interferometric noise sources
KW - laser interferometry
KW - LISA
KW - optical cross-talk
KW - space interferometry
KW - tilt-to-length coupling
KW - wavefront properties
UR - http://www.scopus.com/inward/record.url?scp=85152484381&partnerID=8YFLogxK
U2 - 10.1088/2040-8986/acc3ac
DO - 10.1088/2040-8986/acc3ac
M3 - Article
AN - SCOPUS:85152484381
VL - 25
JO - Journal of Optics (United Kingdom)
JF - Journal of Optics (United Kingdom)
SN - 2040-8978
IS - 5
M1 - 055601
ER -