Algorithm for TDI numerical simulation and sensitivity investigation

Abstract

We introduce a generic algorithm to determine the time delays and spacecraft (S/C) positions to compose any time-delay interferometry (TDI) channel in the dynamical case and evaluate its sensitivity by using a full numerical method. We select 11 second-generation TDI channels constructed from four approaches and investigate their gravitational wave responses, noise levels, and averaged sensitivities under a numerical LISA orbit. The sensitivities of selected channels are various especially for frequencies lower than 20 mHz. The optimal channel A${}_2$ (or equivalently E${}_2$) combined from second-generation Michelson TDI channels (X${}_1$, X${}_2$, and X${}_3$) achieves the best sensitivity among the channels, while the Sagnac ${\alpha }_1$ channel shows the worse sensitivity. Multiple channels show better sensitivities at some characteristic frequencies compared to the fiducial X${}_1$ channel. The joint ${\mathrm{A}}_2+{\mathrm{E}}_2+{\mathrm{T}}_2$ observation not only enhances the sensitivity of the X${}_1$ channel by a factor of $\sqrt{2}$ to 2 but also improves the capacity of sky coverage.

arXiv comment13 pages, 8 figures

References in corpus (43)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Laser Interferometer Space Antenna
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• The LISA Optimal Sensitivity
• 2-OGC: Open Gravitational-wave Catalog of binary mergers from analysis of public Advanced LIGO and Virgo data
• Time Delay Interferometry with Moving Spacecraft Arrays
• Data Combinations Accounting for LISA Spacecraft Motion
• Algebraic approach to time-delay data analysis for LISA
• Forward Modeling of Space-borne Gravitational Wave Detectors
• Synthetic LISA: Simulating Time Delay Interferometry in a Model LISA
• The LISA Response Function
• Geometric Time Delay Interferometry
• The Effects of Orbital Motion on LISA Time Delay Interferometry
• Implementation of Time-Delay Interferometry for LISA
• ASTROD-GW: Overview and Progress
• Time-Delay Interferometry and Clock-Noise Calibration
• LISACode : A scientific simulator of LISA
• Clock-jitter reduction in LISA time-delay interferometry combinations
• Effect of filters on the time-delay interferometry residual laser noise for LISA
• Sensitivity and parameter-estimation precision for alternate LISA configurations
• Numerical simulation of sky localization for LISA-TAIJI joint observation
• TDI-infinity: time-delay interferometry without delays
• Unequal arm space-borne gravitational wave detectors
• Non-sky-averaged sensitivity curves for space-based gravitational-wave observatories
• Design and construction of an optical test bed for LISA imaging systems and tilt-to-length coupling
• Reducing tilt-to-length coupling for the LISA test mass interferometer
• Time Delay Interferometry for LISA with one arm dysfunctional
• Numerical simulation of time delay interferometry for new LISA, TAIJI and other LISA-like missions
• Orbit optimization for ASTROD-GW and its time delay interferometry with two arms using CGC ephemeris
• Orbit Simulation for the Determination of Relativistic and Solar-System Parameters for the ASTROD Space Mission
• Numerical simulation of time delay interferometry for a LISA-like mission with the simplification of having only one interferometer
• Post-Newtonian limitations on measurement of the PPN parameters caused by motion of gravitating bodies
• Revisiting time delay interferometry for unequal-arm LISA and TAIJI
• Orbit optimization and time delay interferometry for inclined ASTROD-GW formation with half-year precession-period
• Numerical simulation of time delay interferometry for eLISA/NGO
• Orbit design and thruster requirement for various constant-arm space mission concepts for gravitational-wave observation

Cited by in corpus (18)

• Alternative LISA-TAIJI networks
• Observing gravitational wave polarizations with LISA-TAIJI network
• Revisiting time delay interferometry for unequal-arm LISA and TAIJI
• Charactering instrumental noises and stochastic gravitational wave signals from combined time-delay interferometry
• Arm locking using laser frequency comb
• Time delay interferometry with minimal null frequencies
• Core Noise Requirements, and GW Sensitivities of AMIGO
• Alternative LISA-TAIJI networks: Detectability of the Parity Violation in Stochastic Gravitational Wave Background
• Enhancing noise characterization with robust time delay interferometry combination
• Comparison and application of different post-Newtonian models for inspiralling stellar-mass binary black holes with space-based GW detectors
• Sky localization of space-based detectors with time-delay interferometry
• Distinguishing Monochromatic Signals in LISA and Taiji: Ultralight Dark Matter versus Gravitational Waves
• Suppressing data anomalies of gravitational reference sensors with time delay interferometry combinations
• Time delay interferometry with minimal null frequencies and shortened time span
• Arm-Locking Frequency Noise Suppression for Astronomical Middle-Frequency Interferometric Gravitational Wave Observatory
• Alternative LISA-TAIJI networks: detectability of the isotropic stochastic gravitational wave background
• Constraints and detection capabilities of GW polarizations with space-based detectors in different TDI combinations
• Detectability of axion-like dark matter for different time-delay interferometry combinations in space-based gravitational wave detectors