Frequency response of time-delay interferometry for space-based gravitational wave antennas

Abstract

Space-based gravitational wave detectors cannot keep rigid structures and precise arm length equality, so the precise equality of detector arms which is required in a ground-based interferometer to cancel the overwhelming laser noise is impossible. The time-delay interferometry method is applied to unequal arm lengths to cancel the laser frequency noise. We give analytical formulas of the averaged response functions for tensor, vector, breathing and longitudinal polarizations in different TDI combinations, and obtain their asymptotic behaviors. At low frequencies, $f\ll f_{\ast }$, the averaged response functions of all TDI combinations increase as $f^2$ for all six polarizations. The one exception is the averaged response functions of $\zeta$ for all six polarizations increase as $f^4$ in the equilateral-triangle case. At high frequencies, $f\gg f_{\ast }$, the averaged response functions of all TDI combinations for the tensor and breathing modes fall off as $1/f^2$, the averaged response functions of all TDI combinations for the vector mode fall off as $\ln (f)/f^2$ , and the averaged response functions of all TDI combinations for the longitudinal mode fall as $1/f$. We also give LISA and TianQin sensitivity curves in different TDI combinations for tensor, vector, breathing and longitudinal polarizations.

arXiv comment35 pages, 8 figures

References in corpus (45)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Advanced LIGO
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• TianQin: a space-borne gravitational wave detector
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Interferometer design of the KAGRA gravitational wave detector
• Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
• The construction and use of LISA sensitivity curves
• The LISA Optimal Sensitivity
• Sensitivity curves for spaceborne gravitational wave interferometers
• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Time Delay Interferometry with Moving Spacecraft Arrays
• Time-Delay Interferometry
• Data Combinations Accounting for LISA Spacecraft Motion
• Algebraic approach to time-delay data analysis for LISA
• Synthetic LISA: Simulating Time Delay Interferometry in a Model LISA
• Polarizations of gravitational waves in $f(R)$ gravity
• The Effects of Orbital Motion on LISA Time Delay Interferometry
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• Implementation of Time-Delay Interferometry for LISA
• Estimating Stochastic Gravitational Wave Backgrounds with Sagnac Calibration
• Space missions to detect the cosmic gravitational-wave background
• Polarizations of Gravitational Waves in Horndeski Theory
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• On the constant-roll inflation
• Time-Delay Interferometry and Clock-Noise Calibration
• LISA Sensitivities to Gravitational Waves from Relativistic Metric Theories of Gravity
• Effect of filters on the time-delay interferometry residual laser noise for LISA
• The Polarizations of Gravitational Waves
• Gravitational waves and the polarizations in Hořava gravity after GW170817
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Unequal arm space-borne gravitational wave detectors
• Frequency response of space-based interferometric gravitational-wave detectors
• Angular and frequency response of the gravitational wave interferometers in the metric theories of gravity
• Gravitational waves in Einstein-Æther theory and generalized TeVeS theory after GW170817
• Numerical simulation of time delay interferometry for new LISA, TAIJI and other LISA-like missions
• Optimising the directional sensitivity of LISA
• A principal component analysis for LISA -- the TDI connection
• The LISA Time-Delay Interferometry Zero-Signal Solution. I: Geometrical Properties
• Laser interferometer response to scalar massive gravitational waves

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• The TianQin project: current progress on science and technology
• New Sensitivity Curves for Gravitational-Wave Signals from Cosmological Phase Transitions
• The Science of the Einstein Telescope
• Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves
• Constraining the Hubble constant to a precision of about 1% using multi-band dark standard siren detections
• Full analytical formulas for frequency response of space-based gravitational wave detectors
• Observing gravitational wave polarizations with LISA-TAIJI network
• Revisiting time delay interferometry for unequal-arm LISA and TAIJI
• Detecting the stochastic gravitational wave background with the TianQin detector
• Constraining the Extra Polarization Modes of Gravitational Waves with Double White Dwarfs
• Searching for spin-2 ULDM with gravitational waves interferometers
• Constraint on the mass of graviton with gravitational waves
• Detection of gravitational wave mixed polarization with single space-based detectors
• Sky localization of space-based detectors with time-delay interferometry
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