On modelling the Fast Radio Burst (FRB) population and event rate predictions

Abstract

Assuming that Fast Radio Bursts (FRBs) are of extragalactic origin, we have developed a formalism to predict the FRB detection rate and the redshift distribution of the detected events for a telescope with given parameters. We have adopted FRB 110220, for which the emitted pulse energy is estimated to be $E_0=5.4\times 10^{33}J$, as the reference event. The formalism requires us to assume models for (1) pulse broadening due to scattering in the ionized inter-galactic medium - we consider two different models for this, (2) the frequency spectrum of the emitted pulse - we consider a power law model $E_{\nu }\propto {\nu }^{-\alpha }$ with $-5\le \alpha \le 5$, and (3) the comoving number density of the FRB occurrence rate $n(E,w_i,z)$ - we ignore the z dependence and assume a fixed intrinsic pulse width $w_i=1$ms for all the FRBs. The distribution of the emitted pulse energy $E$ is modelled through (a) a delta-function where all the FRBs have the same energy $E=E_0$ , and (b) a Schechter luminosity function where the energies have a spread around $E_0$. The models are all normalized using the 4 FRBs detected by Thornton et al. (2013). Our model predictions for the Parkes telescope are all consistent with the inferred redshift distribution of the fourteen FRBs detected there to date. We also find that scattering places an upper limit on the redshift of the FRBs detectable by a given telescope; for the Parkes telescope this is $z\sim 2$. Considering the upcoming Ooty Wide Field Array, we predict a FRB detection rate of $\sim 0.01$ to $\sim 10^3$ per day.

arXiv comment11 pages, 4 figures and 2 tables, accepted for publication in MNRAS main journal

References in corpus (24)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• A bright millisecond radio burst of extragalactic origin
• A Population of Fast Radio Bursts at Cosmological Distances
• Fast Radio Burst Discovered in the Arecibo Pulsar ALFA Survey
• Dense magnetized plasma associated with a fast radio burst
• Fast radio bursts: the last sign of supramassive neutron stars
• Multifrequency Observations of Radio Pulse Broadening and Constraints on Interstellar Electron Density Microstructure
• Cosmological Fast Radio Bursts from Binary Neutron Star Mergers
• A real-time fast radio burst: polarization detection and multiwavelength follow-up
• Cosmic Dispersion Measure from Gamma-Ray Burst Afterglows: Probing the Reionization History and the Burst Environment
• On the origin of a highly-dispersed coherent radio burst
• Cosmological Fast Radio Bursts from Binary White Dwarf Mergers
• Fast radio bursts: search sensitivities and completeness
• A fast radio burst in the direction of the Carina dwarf spheroidal galaxy
• The Galactic Position Dependence of Fast Radio Bursts and the Discovery of FRB 011025
• Temporal Smearing of Transient Radio Sources by the Intergalactic Medium
• Fast radio bursts may originate from nearby flaring stars
• The LOFAR Pilot Surveys for Pulsars and Fast Radio Transients
• Limits on Fast Radio Bursts at 145 MHz with ARTEMIS, a real-time software backend
• Radio emissions from pulsar companions : a refutable explanation for galactic transients and fast radio bursts
• A search for rotating radio transients and fast radio bursts in the Parkes high-latitude pulsar survey
• A Galactic Origin for the Fast Radio Burst FRB010621
• Prospects for detecting the 326.5 MHz redshifted 21 cm HI signal with the Ooty Radio Telescope (ORT)
• A High Speed Networked Signal Processing Platform for Multi-element Radio Telescopes

Cited by in corpus (24)

• Lensing of Fast Radio Bursts as a Probe of Compact Dark Matter
• The Physics of Fast Radio Bursts
• On the FRB luminosity function -- II. Event rate density
• Intensity Distribution Function and Statistical Properties of Fast Radio Bursts
• Compact Binary Mergers and The Event Rate of Fast Radio Bursts
• Cosmology with fast radio bursts in the era of SKA
• Constraining the age of a magnetar possibly associated with FRB 121102
• The Ooty Wide Field Array
• Superconducting cosmic strings as sources of cosmological fast radio bursts
• Energy function, formation rate and low-metallicity environment of fast radio bursts
• Wide-Band Spectra of Giant Radio Pulses from the Crab Pulsar
• Redshift estimates for fast radio bursts and implications on intergalactic magnetic fields
• Hunting for gamma-ray emission from Fast Radio Bursts
• The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts
• Updated constraints on superconducting cosmic strings from the astronomy of fast radio bursts
• Modelling the energy distribution in CHIME/FRB Catalog-1
• A maximum likelihood estimate of the parameters of the FRB population
• Population modelling of FRBs from intrinsic properties
• Fast Radio Bursts
• Diverse origins for non-repeating fast radio bursts: Rotational radio transient sources and cosmological compact binary merger remnants
• Joint inference on the redshift distribution of fast radio burst and on the intergalactic baryon content
• Constraining the Fast Radio Burst (FRB) properties using the joint distributions of dispersion measure and fluence of the events detected at Parkes, ASKAP, CHIME and UTMOST
• Prospects of detecting Fast Radio Bursts using Indian Radio Telescopes
• FRB event rate predictions for the Ooty Wide Field Array