Adapting time-delay interferometry for LISA data in frequency
arXiv:2103.06976 · doi:10.1103/PhysRevD.104.023006
Abstract
Time-delay interferometry (TDI) is a post-processing technique used to reduce laser noise in heterodyne interferometric measurements with unequal armlengths, a situation characteristic of space gravitational detectors such as Laser Interferometer Space Antenna (LISA). This technique consists in properly time-shifting and linearly combining the interferometric measurements in order to reduce the laser noise by several orders of magnitude and to detect gravitational waves. In this communication, we show that the Doppler shift due to the time evolution of the armlengths leads to an unacceptably large residual noise when using interferometric measurements expressed in units of frequency and standard expressions of the TDI variables. We also present a technique to mitigate this effect by including a scaling of the interferometric measurements in addition to the usual time-shifting operation when constructing the TDI variables. We demonstrate analytically and using numerical simulations that this technique allows one to recover standard laser noise suppression which is necessary to measure gravitational waves.
arXiv comment7 pages, 4 figures
References in corpus (13)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Time Delay Interferometry with Moving Spacecraft Arrays
- Data Combinations Accounting for LISA Spacecraft Motion
- Synthetic LISA: Simulating Time Delay Interferometry in a Model LISA
- The Effects of Orbital Motion on LISA Time Delay Interferometry
- Fundamentals of the LISA Stable Flight Formation
- LISACode : A scientific simulator of LISA
- Effect of filters on the time-delay interferometry residual laser noise for LISA
- Picometer-stable hexagonal optical bench to verify LISA phase extraction linearity and precision
- First stage of LISA data processing: Clock synchronization and arm-length determination via a hybrid-extended Kalman filter
- First stage of LISA data processing II: Alternative filtering dynamic models for LISA
- Time scales in LISA
Cited by in corpus (22)
- Bayesian parameter estimation of stellar-mass black-hole binaries with LISA
- Unified model for the LISA measurements and instrument simulations
- Experimental verification of intersatellite clock synchronization at LISA performance levels
- Time delay interferometry without clock synchronisation
- On the detectability of higher harmonics with LISA
- TDI noises transfer functions for LISA
- Geometric approach for the modified second generation time delay interferometry
- Ranging Sensor Fusion in LISA Data Processing: Treatment of Ambiguities, Noise, and On-Board Delays in LISA Ranging Observables
- Bayesian Time Delay Interferometry
- Plasma noise in TianQin time delay interferometry
- Doppler effect in TianQin time-delay interferometry
- Time-delay interferometry with onboard optical delays
- Fully data-driven time-delay interferometry with time-varying delays
- Model-independent time-delay interferometry based on principal component analysis
- Observable-based reformulation of time-delay interferometry
- Alternative approach to time-delay interferometry with optical frequency comb
- Exploring Time Delay Interferometry Ranging as a Practical Ranging Approach in the Bayesian Framework
- Discriminating scalar ultralight dark matter from quasi-monochromatic gravitational waves in LISA
- Searching for stellar-origin binary black holes in LISA Data Challenge 1b: Yorsh
- Modulation-assisted time-delay interferometric ranging for LISA
- Optimal design of interpolation methods for time-delay interferometry
- Detector-Frame Quantum Limits for Heterodyne Timing in Relativistic Optical Links