2016
DOI: 10.3847/0004-637x/830/2/75
|View full text |Cite
|
Sign up to set email alerts
|

The Fluence and Distance Distributions of Fast Radio Bursts

Abstract: Fast radio bursts (FRB) are millisecond-duration radio pulses with apparent extragalactic origins. All but two of the FRBs have been discovered using the Parkes dish, which employs multiple beams formed by an array of feed horns on its focal plane. In this paper, we show that (i) the preponderance of multiple-beam detections and (ii) the detection rates for varying dish diameters can be used to infer the index α of the cumulative fluence distribution function (the logN-logF function: α=1.5 for a non-evolving… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

3
83
1

Year Published

2017
2017
2023
2023

Publication Types

Select...
10

Relationship

3
7

Authors

Journals

citations
Cited by 49 publications
(87 citation statements)
references
References 28 publications
3
83
1
Order By: Relevance
“…I note that since the radio telescope beam is not uniform and the observed cumulative flux density function of sources (so called log(N)-log(S)) is some power-law (−3/2 for Euclidean Universe; see however Vedantham et al 2016), this may affect the effective beam size of the survey (used in the rate calculation). Assuming a cumulative flux density powerlaw of −3/2 and assuming a Gaussian beam with a size equal to the beam full-width half maximum, the correction factor is 1 (see appendix C in .…”
Section: Source Variability I Cross-matched the Sources Inmentioning
confidence: 99%
“…I note that since the radio telescope beam is not uniform and the observed cumulative flux density function of sources (so called log(N)-log(S)) is some power-law (−3/2 for Euclidean Universe; see however Vedantham et al 2016), this may affect the effective beam size of the survey (used in the rate calculation). Assuming a cumulative flux density powerlaw of −3/2 and assuming a Gaussian beam with a size equal to the beam full-width half maximum, the correction factor is 1 (see appendix C in .…”
Section: Source Variability I Cross-matched the Sources Inmentioning
confidence: 99%
“…Any value other than 1.5 would argue for FRBs being a cosmological population and/or exhibiting redshift-dependent evolution. Vedantham et al (2016a) calculate γ based on multiple-beam detections with Parkes and different detection rates for varying dish diameters, and they report a constraint, 0.66<γ<0.96. Oppermann et al (2016) derive the constraint 0.8γ1.7 making use of the detections with the HTRU survey at Parkes and the PALFA Survey at Arecibo.…”
Section: Spectral Index Constraintsmentioning
confidence: 99%
“…We finally assessed how much survey I and II constrain the FRB statistical properties. We assumed that the probability density function P of observing M events follows a Poissonian distribution (Vedantham et al 2016;Amiri et al 2017):…”
Section: Frb Survey Designmentioning
confidence: 99%