Built on

G. Carullo, W. Del Pozzo, and J. Veitch, Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914, Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
B. P. Abbott et al. (LIGO Scientific, Virgo), Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. Fairhurst, R. Green, C. Hoy, M. Hannam, and A. Muir, Two-harmonic approximation for gravitational waveforms from precessing binaries, Phys. Rev. D 102
Original
1908
Earlier work this paper cites.
J. N. Goldberg, A. J. MacFarlane, E. T. Newman, F. Rohrlich, and E. G. Sudarshan, Spin- s s spherical harmonics and ð, Journal of Mathematical Physics 8
1967
Earlier work this paper cites.
C. V. Vishveshwara, Stability of the schwarzschild metric, Phys. Rev. D 1
1970
Earlier work this paper cites.
W. H. Press, Long Wave Trains of Gravitational Waves from a Vibrating Black Hole, Astrophys. J. Lett. 170
1971
Earlier work this paper cites.
S. A. Teukolsky, Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations, Astrophys. J. 185
1973
Earlier work this paper cites.
W. H. Press and S. A. Teukolsky, Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric, Astrophys. J. 185
1973
Earlier work this paper cites.
K. S. Thorne, D. L. Lee, and A. P. Lightman, Foundations for a Theory of Gravitation Theories, Phys. Rev. D 7
1973
Earlier work this paper cites.
A. M. Anile and R. A. Breuer, Gravitational Stokes Parameters, Astrophys. J. 189
1974
Earlier work this paper cites.
S. Chandrasekhar and S. L. Detweiler, The quasi-normal modes of the Schwarzschild black hole, Proc. R. Soc. A 344
1975
Earlier work this paper cites.
R. L. Forward, Wide Band Laser Interferometer Gravitational Radiation Experiment, Phys. Rev. D 17
1978
Earlier work this paper cites.
K. S. Thorne, Multipole Expansions of Gravitational Radiation, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
K. S. Thorne, The theory of gravitational radiation: An introductory review, in Gravitational Radiation; Proc. Adv. Study Institute, Les Houches, Haute-Savoie, Fr. June 2-21, 1982 (A84-35026 16-90). , edited by N. Deruelle and T. Piran (North-Holland Publishing Company, Amsterdam, 1983) pp. 1–57
1983
Earlier work this paper cites.
P. Linsay, P. Saulson, R. Weiss, and S. E. Whitcomb, A Study of a Long Baseline Gravitational Wave Antenna System , Tech. Rep. LIGO-T830001 (National Science Foundation, 1983)
1983
Earlier work this paper cites.
F. B. Estabrook, Response functions of free mass gravitational wave antennas, Gen. Rel. Grav. 17
1985
Earlier work this paper cites.
E. Leaver, An Analytic representation for the quasi normal modes of Kerr black holes, Proc. Roy. Soc. Lond. A 402
1985
Earlier work this paper cites.
K. S. Thorne, Gravitation, in Three hundred years Gravit. , edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, 1987) Chap. 9, pp. 330 – 458
1987
Earlier work this paper cites.
R. Schilling, Angular and frequency response of LISA, 1st International LISA Symposium on Gravitational Waves Oxfordshire, England, July 9-12, 1996 , Class. Quant. Grav. 14
1997
Earlier work this paper cites.
W. G. Anderson, P. R. Brady, D. Chin, J. D. E. Creighton, K. Riles, and J. T. Whelan, Beam pattern response functions and times of arrival for earthbound interferometer , Tech. Rep. LIGO-T010110 (LIGO Scientific Collaboration, 2002)
2002
Earlier work this paper cites.
S. Klimenko and G. Mitselmakher, A wavelet method for detection of gravitational wave bursts, Class. Quant. Grav. 21
2004
Earlier work this paper cites.
S. Klimenko, S. Mohanty, M. Rakhmanov, and G. Mitselmakher, Constraint likelihood analysis for a network of gravitational wave detectors, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. J. Dupuis and G. Woan, Bayesian estimation of pulsar parameters from gravitational wave data, Phys. Rev. D 72
2005
Earlier work this paper cites.
M. Rakhmanov, Response of LIGO to Gravitational Waves at High Frequencies and in the Vicinity of the FSR (37.5 kHz) , Tech. Rep. LIGO-T060237 (LIGO Laboratory, 2005)
2005
Earlier work this paper cites.
A. Buonanno, Y.-b. Chen, and M. Vallisneri, Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit, Phys. Rev. D 67
2006
Earlier work this paper cites.
E. Berti, V. Cardoso, and M. Casals, Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions, Phys. Rev. D 73
2006
Earlier work this paper cites.

Similar

L. E. Kidder, Using full information when computing modes of post-Newtonian waveforms from inspiralling compact binaries in circular orbit, Phys. Rev. D 77
Original
2008
Cited alongside, same era.
S. Klimenko, I. Yakushin, A. Mercer, and G. Mitselmakher, Coherent method for detection of gravitational wave bursts, Class. Quant. Grav. 25
Original
2008
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C. Y. Ng and R. W. Romani, Fitting Pulsar Wind Tori. 2. Error Analysis and Applications, Astrophys. J. 673
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2008
Cited alongside, same era.
M. Rakhmanov, J. D. Romano, and J. T. Whelan, High-frequency corrections to the detector response and their effect on searches for gravitational waves, Proceedings, 12th Workshop on Gravitational wave data analysis (GWDAW-12): Cambridge, USA, December 13-16, 2007 , Class. Quant. Grav. 25
Original
2008
Cited alongside, same era.

Then

R. Kato and J. Soda, Probing circular polarization in stochastic gravitational wave background with pulsar timing arrays, Phys. Rev. D 93
Original
2016
Later among the works it cites.
J. D. Romano and N. J. Cornish, Detection methods for stochastic gravitational-wave backgrounds: a unified treatment, Living Rev. Rel. 20
Original
2017
Later among the works it cites.
M. Isi, M. Pitkin, and A. J. Weinstein, Probing Dynamical Gravity with the Polarization of Continuous Gravitational Waves, Phys. Rev. D 96
Original
2017
Later among the works it cites.
M. Pitkin, M. Isi, J. Veitch, and G. Woan, A nested sampling code for targeted searches for continuous gravitational waves from pulsars, arXiv:1705.08978 [gr-qc] (2017)
Original
2017
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2022

Parametrizing gravitational-wave polarizations

Isi, Maximiliano

Understand

We review the formalism underlying the modeling of gravitational wave (GW) polarizations, and the coordinate frames used to define them.

In the process, we clarify the notion of "polarization angle" and identify three conceptually distinct definitions.
We describe how those are related and how they arise in the practice of GW data analysis, explaining in detail the relevant conventions that have become the LIGO-Virgo standard.
Furthermore, we show that any GW signal can be expressed as a superposition of elliptical (i.e., fully-polarized) states, and examine the properties and possible parametrizations of such elementary states.

Built on

G. Carullo, W. Del Pozzo, and J. Veitch, Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914, Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
B. P. Abbott et al. (LIGO Scientific, Virgo), Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. Fairhurst, R. Green, C. Hoy, M. Hannam, and A. Muir, Two-harmonic approximation for gravitational waveforms from precessing binaries, Phys. Rev. D 102
Original
1908
Earlier work this paper cites.
J. N. Goldberg, A. J. MacFarlane, E. T. Newman, F. Rohrlich, and E. G. Sudarshan, Spin- s s spherical harmonics and ð, Journal of Mathematical Physics 8
1967
Earlier work this paper cites.
C. V. Vishveshwara, Stability of the schwarzschild metric, Phys. Rev. D 1
1970
Earlier work this paper cites.
W. H. Press, Long Wave Trains of Gravitational Waves from a Vibrating Black Hole, Astrophys. J. Lett. 170
1971
Earlier work this paper cites.
S. A. Teukolsky, Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations, Astrophys. J. 185
1973
Earlier work this paper cites.
W. H. Press and S. A. Teukolsky, Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric, Astrophys. J. 185
1973
Earlier work this paper cites.
K. S. Thorne, D. L. Lee, and A. P. Lightman, Foundations for a Theory of Gravitation Theories, Phys. Rev. D 7
1973
Earlier work this paper cites.
A. M. Anile and R. A. Breuer, Gravitational Stokes Parameters, Astrophys. J. 189
1974
Earlier work this paper cites.
S. Chandrasekhar and S. L. Detweiler, The quasi-normal modes of the Schwarzschild black hole, Proc. R. Soc. A 344
1975
Earlier work this paper cites.
R. L. Forward, Wide Band Laser Interferometer Gravitational Radiation Experiment, Phys. Rev. D 17
1978
Earlier work this paper cites.
K. S. Thorne, Multipole Expansions of Gravitational Radiation, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
K. S. Thorne, The theory of gravitational radiation: An introductory review, in Gravitational Radiation; Proc. Adv. Study Institute, Les Houches, Haute-Savoie, Fr. June 2-21, 1982 (A84-35026 16-90). , edited by N. Deruelle and T. Piran (North-Holland Publishing Company, Amsterdam, 1983) pp. 1–57
1983
Earlier work this paper cites.
P. Linsay, P. Saulson, R. Weiss, and S. E. Whitcomb, A Study of a Long Baseline Gravitational Wave Antenna System , Tech. Rep. LIGO-T830001 (National Science Foundation, 1983)
1983
Earlier work this paper cites.
F. B. Estabrook, Response functions of free mass gravitational wave antennas, Gen. Rel. Grav. 17
1985
Earlier work this paper cites.
E. Leaver, An Analytic representation for the quasi normal modes of Kerr black holes, Proc. Roy. Soc. Lond. A 402
1985
Earlier work this paper cites.
K. S. Thorne, Gravitation, in Three hundred years Gravit. , edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, 1987) Chap. 9, pp. 330 – 458
1987
Earlier work this paper cites.
R. Schilling, Angular and frequency response of LISA, 1st International LISA Symposium on Gravitational Waves Oxfordshire, England, July 9-12, 1996 , Class. Quant. Grav. 14
1997
Earlier work this paper cites.
W. G. Anderson, P. R. Brady, D. Chin, J. D. E. Creighton, K. Riles, and J. T. Whelan, Beam pattern response functions and times of arrival for earthbound interferometer , Tech. Rep. LIGO-T010110 (LIGO Scientific Collaboration, 2002)
2002
Earlier work this paper cites.
S. Klimenko and G. Mitselmakher, A wavelet method for detection of gravitational wave bursts, Class. Quant. Grav. 21
2004
Earlier work this paper cites.
S. Klimenko, S. Mohanty, M. Rakhmanov, and G. Mitselmakher, Constraint likelihood analysis for a network of gravitational wave detectors, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. J. Dupuis and G. Woan, Bayesian estimation of pulsar parameters from gravitational wave data, Phys. Rev. D 72
2005
Earlier work this paper cites.
M. Rakhmanov, Response of LIGO to Gravitational Waves at High Frequencies and in the Vicinity of the FSR (37.5 kHz) , Tech. Rep. LIGO-T060237 (LIGO Laboratory, 2005)
2005
Earlier work this paper cites.
A. Buonanno, Y.-b. Chen, and M. Vallisneri, Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit, Phys. Rev. D 67
2006
Earlier work this paper cites.
E. Berti, V. Cardoso, and M. Casals, Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions, Phys. Rev. D 73
2006
Earlier work this paper cites.

Similar

L. E. Kidder, Using full information when computing modes of post-Newtonian waveforms from inspiralling compact binaries in circular orbit, Phys. Rev. D 77
Original
2008
Cited alongside, same era.
S. Klimenko, I. Yakushin, A. Mercer, and G. Mitselmakher, Coherent method for detection of gravitational wave bursts, Class. Quant. Grav. 25
Original
2008
Cited alongside, same era.
C. Y. Ng and R. W. Romani, Fitting Pulsar Wind Tori. 2. Error Analysis and Applications, Astrophys. J. 673
Original
2008
Cited alongside, same era.
M. Rakhmanov, J. D. Romano, and J. T. Whelan, High-frequency corrections to the detector response and their effect on searches for gravitational waves, Proceedings, 12th Workshop on Gravitational wave data analysis (GWDAW-12): Cambridge, USA, December 13-16, 2007 , Class. Quant. Grav. 25
Original
2008
Cited alongside, same era.

Then

R. Kato and J. Soda, Probing circular polarization in stochastic gravitational wave background with pulsar timing arrays, Phys. Rev. D 93
Original
2016
Later among the works it cites.
J. D. Romano and N. J. Cornish, Detection methods for stochastic gravitational-wave backgrounds: a unified treatment, Living Rev. Rel. 20
Original
2017
Later among the works it cites.
M. Isi, M. Pitkin, and A. J. Weinstein, Probing Dynamical Gravity with the Polarization of Continuous Gravitational Waves, Phys. Rev. D 96
Original
2017
Later among the works it cites.
M. Pitkin, M. Isi, J. Veitch, and G. Woan, A nested sampling code for targeted searches for continuous gravitational waves from pulsars, arXiv:1705.08978 [gr-qc] (2017)
Original
2017
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

N. Seto and A. Taruya, Polarization analysis of gravitational-wave backgrounds from the correlation signals of ground-based interferometers: Measuring a circular-polarization mode, Phys. Rev. D 77

Original

2008

Cited alongside, same era.

E. J. Candes, P. R. Charlton, and H. Helgason, Detecting Highly Oscillatory Signals by Chirplet Path Pursuit, Appl. Comput. Harmon. Anal. 24

2008

Cited alongside, same era.

L. S. Finn, The Response of interferometric gravitational wave detectors, Phys. Rev. D 79

Original

2009

Cited alongside, same era.

M. Rakhmanov, On the round-trip time for a photon propagating in the field of a plane gravitational wave, Class. Quant. Grav. 26

Original

2009

Cited alongside, same era.

R. Abbott et al. (LIGO Scientific, Virgo), Tests of general relativity with binary black holes from the second LIGO-Virgo gravitational-wave transient catalog, Phys. Rev. D 103

Original

2010

Cited alongside, same era.

N. J. Cornish, T. B. Littenberg, B. Bécsy, K. Chatziioannou, J. A. Clark, S. Ghonge, and M. Millhouse, BayesWave analysis pipeline in the era of gravitational wave observations, Phys. Rev. D 103

Original

2011

Cited alongside, same era.

P. Schmidt, M. Hannam, S. Husa, and P. Ajith, Tracking the precession of compact binaries from their gravitational-wave signal, Phys. Rev. D 84

Original

2011

Cited alongside, same era.

M. Boyle, R. Owen, and H. P. Pfeiffer, A geometric approach to the precession of compact binaries, Phys. Rev. D 84

Original

2011

Cited alongside, same era.

K. S. Thorne and R. D. Blandford, Modern Classical Physics: Optics, Fluids, Plasmas, Elasticity, Relativity, and Statistical Physics (Princeton University Press, Princeton, 2017)

2017