Characterization of Time Delay Interferometry combinations for the LISA instrument noise

Abstract

Time delay interferometry (TDI) is a post-processing technique used in the Laser Interferometer Space Antenna (LISA) to reduce laser frequency noise by building an equal-arm interferometer via combining time-shifted raw phase measurements. The set of so-called 2nd generation TDI variables which sufficiently suppress laser frequency noise considering realistic LISA orbital dynamics has recently been expanded by a large number of additional solutions. In this paper, we characterize these new TDI channels by relating them to the well-known 1st generation variables $\alpha$, $\beta$, $\gamma$, and $\zeta$. We compute explicitly how each 2nd generation variable can be approximated as a linear combination of these four 1st generation variables, and show numerically that these approximations are accurate enough to model the noises not suppressed by TDI. We use these results to discuss how the newly found channels might be advantageous to use for the LISA data analysis. In addition, we demonstrate that newly found variants of the variable $\zeta$ significantly out-perform the ones previously known from the literature.

Cited by in corpus (15)

• Gravitational waves from first-order phase transitions in LISA: reconstruction pipeline and physics interpretation
• Stochastic gravitational wave background reconstruction for a non-equilateral and unequal-noise LISA constellation
• Second-Generation Time-Delay Interferometry
• Geometric approach for the modified second generation time delay interferometry
• A combinatorial algebraic approach for the modified second-generation time-delay interferometry
• Charactering instrumental noises and stochastic gravitational wave signals from combined time-delay interferometry
• On second-order combinatorial algebraic time-delay interferometry
• Time delay interferometry with minimal null frequencies
• Assessing the Impact of Unequal Noises and Foreground Modeling on SGWB Reconstruction with LISA
• Probing the axion-photon coupling with space-based gravitational waves detectors
• Enhancing noise characterization with robust time delay interferometry combination
• Suppressing data anomalies of gravitational reference sensors with time delay interferometry combinations
• Searching for stellar-origin binary black holes in LISA Data Challenge 1b: Yorsh
• Time delay interferometry with minimal null frequencies and shortened time span
• Distinguishing gravity theories with networks of space-based gravitational-wave detectors