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We study the capability of a pulsar timing array (PTA) to individually resolve and localize in the sky monochromatic gravitational wave (GW) sources. Given a cosmological population of inspiralling massive black hole binaries, their…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Stanislav Babak , Alberto Sesana

We perform a Bayesian search in the latest Pulsar Timing Array (PTA) datasets for a stochastic gravitational wave (GW) background sourced by curvature perturbations at scales $10^5~\text{Mpc}^{-1}\lesssim k\lesssim 10^8~\text{Mpc}^{-1}$.…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-06 Virgile Dandoy , Valerie Domcke , Fabrizio Rompineve

Extracting precise pulse times of arrival (TOAs) and their uncertainties is the first and most fundamental step in high-precision pulsar timing. In the classical method, TOAs are derived from total intensity pulse profiles of pulsars via…

Several pulsar timing array (PTA) experiments such as NANOGrav and PPTA recently reported evidence of a gravitational wave (GW) background at nano-Hz frequency band. This signal can originate from scalar-induced gravitational waves (SIGW)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Junsong Cang , Yu Gao , Yiming Liu , Sichun Sun

Several Pulsar Timing Array (PTA) collaborations have recently found evidence for a Gravitational Wave Background (GWB) by measuring the perturbations that this background induces in the time-of-arrivals of pulsar signals. These…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-03 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni

Interstellar scattering causes broadening and distortion to the mean pulse profiles and polarization position angle (PPA) curves, especially to the pulse profiles observed at lower frequency. This paper has implemented a method to recover…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Abdujappar Rusul , Ali Esamdin , Alim Kerim , Dilnur Abdurixit , Hongguang Wang , Xiao-Ping Zheng

Gravitational wave (GW) searches using pulsar timing arrays (PTAs) are assumed to be limited by the typical average observational cadence of $1/(2~{\rm weeks})$ for a single pulsar to GW frequencies $\lesssim 4\times 10^{-7}$ Hz. We show…

High Energy Astrophysical Phenomena · Physics 2021-02-10 Yan Wang , Soumya D. Mohanty , Zhoujian Cao

Pulsar timing arrays (PTAs) are currently the only experiments directly sensitive to gravitational waves with decade-long periods. Within the next five to ten years, PTAs are expected to detect the stochastic gravitational-wave background…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Yacine Ali-Haïmoud , Tristan L. Smith , Chiara M. F. Mingarelli

Pulsar timing arrays (PTAs) provide a way to detect gravitational waves (GWs) at nanohertz frequencies. To ensure the detection of GWs, observational data must exhibit the Hellings-Downs angular correlation. It is also known that PTAs can…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-25 Hidetoshi Omiya , Kimihiro Nomura , Jiro Soda

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

The optimal statistic (OS) is a frequentist estimator for the amplitude and significance of a spatially-correlated signal in pulsar timing array (PTA) data, and it is widely used to search for the gravitational wave background (GWB).…

Instrumentation and Methods for Astrophysics · Physics 2024-01-18 Shashwat C. Sardesai , Sarah J. Vigeland , Kyle A. Gersbach , Stephen R. Taylor

Pulsars are very stable clocks in space which have many applications to problems in physics and astrophysics. Observations of double-neutron-star binary systems have given the first observational evidence for the existence of gravitational…

High Energy Astrophysical Phenomena · Physics 2010-04-22 R. N. Manchester

The measurement of pulsar pulse times-of-arrival (ToAs) is a crucial step in detecting low-frequency gravitational waves. To determine ToAs, we can use template-matching to compare each observed pulse profile with a standard template.…

Instrumentation and Methods for Astrophysics · Physics 2024-07-17 J. Wang , J. P. W. Verbiest , G. M. Shaifullah , I. Cognard , L. Guillemot , G. H. Janssen , M. B. Mickaliger , A. Possenti , G. Theureau

A new method of polarimetric calibration is presented in which the instrumental response is derived from regular observations of PSR J0437-4715 based on the assumption that the mean polarized emission from this millisecond pulsar remains…

Instrumentation and Methods for Astrophysics · Physics 2013-01-14 W. van Straten

Pulsar timing arrays (PTAs) consisting of widely distributed and well-timed millisecond pulsars can serve as a galactic interferometer to measure gravitational waves. With the same data acquired for PTAs, we propose to develop pulsar…

High Energy Astrophysical Phenomena · Physics 2023-08-02 Tao Liu , Xuzixiang Lou , Jing Ren

A successful measurement of the Stochastic Gravitational Wave Background (SGWB) in Pulsar Timing Arrays (PTAs) would open up a new window through which to test the predictions of General Relativity (GR). We consider how these measurements…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Qiuyue Liang , Meng-Xiang Lin , Mark Trodden

Gravitational-wave astronomy has developed enormously over the last decade, with the first detections and continuous development across broad frequency bands. However, the decihertz range has largely been left out of this development.…

Instrumentation and Methods for Astrophysics · Physics 2026-05-06 Lucas M. B. Alves , Andrew G. Sullivan , Xingyu Ji , Doğa Veske , Imre Bartos , Sebastian Will , Zsuzsa Márka , Szabolcs Márka

A low frequency stochastic background of gravitational waves may be detected by pulsar timing experiments in the next five to ten years. Using methods developed to analyze interferometric gravitational wave data, in this paper we lay out…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Melissa Anholm , Stefan Ballmer , Jolien D. E. Creighton , Larry R. Price , Xavier Siemens

Analysis of high-precision timing observations of an array of approx. 20 millisecond pulsars (a so-called "timing array") may ultimately result in the detection of a stochastic gravitational-wave background. The feasibility of such a…