Beyond the Long Wavelength Approximation: Next-generation Gravitational-Wave Detectors and Frequency-dependent Antenna Patterns
arXiv:2412.01693 · doi:10.1103/PhysRevD.111.064058
Abstract
The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the interferometer, usually under the assumption that the interferometer size is much smaller than the wavelength of the gravitational waves (long wavelength approximation, LWA). This assumption is well justified as long as the frequency of the gravitational waves is well below the free spectral range (FSR) of the Fabry-Perot cavities in the interferometer arms as it happens for current interferometers (~kHz for the LIGO interferometers and ~kHz for Virgo and KAGRA). However, the LWA can no longer be taken for granted with third--generation instruments (Einstein Telescope, Cosmic Explorer and LISA) because of their longer arms. This has been known for some time, and previous analyses have mostly been carried out in the frequency domain. In this paper, we explore the behavior of the frequency--dependent antenna patterns in the time domain and in the time--frequency domain, with specific reference to the searches of short GW transients. We analyze the profound changes in the concept of Dominant Polarization Frame, which must be generalized in a nontrivial way, we show that the conventional likelihood-based analysis of coherence in different interferometers can no longer be applied as in current analysis pipelines, and that methods based on the null stream in triangular (60°) interferometers no longer work. Overall, this paper establishes methods and tools that can be used to overcome these difficulties in the unmodeled analysis of short GW transients.
References in corpus (48)
- 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
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
- Science Case for the Einstein Telescope
- Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
- Physics, Astrophysics and Cosmology with Gravitational Waves
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- The PyCBC search for gravitational waves from compact binary coalescence
- GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
- Method for detection and reconstruction of gravitational wave transients with networks of advanced detectors
- Science with the Einstein Telescope: a comparison of different designs
- Observing gravitational-wave transient GW150914 with minimal assumptions
- The BayesWave analysis pipeline in the era of gravitational wave observations
- A Mock Data Challenge for the Einstein Gravitational-Wave Telescope
- All-sky search for gravitational-wave bursts in the second joint LIGO-Virgo run
- The MBTA Pipeline for Detecting Compact Binary Coalescences in the Third LIGO-Virgo Observing Run
- The Mock LISA Data Challenges: from Challenge 3 to Challenge 4
- X-Pipeline: An analysis package for autonomous gravitational-wave burst searches
- The LISA Response Function
- All-sky search for short gravitational-wave bursts in the first Advanced LIGO run
- Coherent WaveBurst, a pipeline for unmodeled gravitational-wave data analysis
- The Mock LISA Data Challenges: from Challenge 1B to Challenge 3
- All-sky search for short gravitational-wave bursts in the second Advanced LIGO and Advanced Virgo run
- Realtime search for compact binary mergers in Advanced LIGO and Virgo's third observing run using PyCBC Live
- Stochastic Nature of Gravitational Waves from Supernova Explosions with Standing Accretion Shock Instability
- Coherent Network Detection of Gravitational Waves: The Redundancy Veto
- Gwbench: a novel Fisher information package for gravitational-wave benchmarking
- Frequency-Dependent Responses in 3rd Generation Gravitational-Wave Detectors
- All-sky search for short gravitational-wave bursts in the third Advanced LIGO and Advanced Virgo run
- An overview of the second round of the Mock LISA Data Challenges
- High-frequency corrections to the detector response and their effect on searches for gravitational waves
- Report on the second Mock LISA Data Challenge
- Improved ranking statistics of the GstLAL inspiral search for compact binary coalescences
- The Mock LISA Data Challenges: An overview
- Probing anisotropies of gravitational-wave backgrounds with a space-based interferometer: geometric properties of antenna patterns and their angular power
- Inferring Astrophysical Parameters of Core-Collapse Supernovae from their Gravitational-Wave Emission
- A wider look at the gravitational-wave transients from GWTC-1 using an unmodeled reconstruction method
- Observing an intermediate mass black hole GW190521 with minimal assumptions
- Bayesian reconstruction of gravitational wave bursts using chirplets
- Search for gravitational-wave bursts in the third Advanced LIGO-Virgo run with coherent WaveBurst enhanced by Machine Learning
- On the round-trip time for a photon propagating in the field of a plane gravitational wave
- Signal Space in the Triangular Network of Einstein Telescope
- Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope
- Feasibility study of beam-expanding telescopes in the interferometer arms for the Einstein Telescope
- Estimation of the gravitational wave polarizations from a non template search
- Wavelet-based tools to analyze, filter, and reconstruct transient gravitational-wave signals