3 years ago

# FRB Energetics and detectability from high redshifts.

Bing Zhang

We estimate the upper limit redshifts of known FRBs using the dispersion measure (DM) - redshift ($z$) relation and derive the upper limit peak luminosity $L_p$ and energy $E$ of FRBs within the observational band. The average $z$ upper limits range from 0.17 to 3.10, the average $L_p$ upper limits range from $1.24 \times 10^{42} \rm erg \ s^{-1}$ to $7.80 \times 10^{44} \rm erg \ s^{-1}$, and the average $E$ upper limits range from $6.91 \times 10^{39}$ erg to $1.94 \times 10^{42}$ erg. FRB 160102 with DM $=2596.1 \pm 0.3 \ {\rm pc \ cm^{-3}}$ likely has a redshift greater than 3. Assuming an intrinsic DM contributions from the host and FRB source ${\rm DM_{host}+DM_{scr}}\sim 100 \ {\rm pc \ cm^{-3}}$, such an FRB can be detected up to $z \sim 3.61$ by Parkes with an observed DM $\sim 2947 \ {\rm pc \ cm^{-3}}$, and by FAST under ideal conditions up to $z \sim 10.4$ with an observed DM $\sim 6500 \ {\rm pc \ cm^{-3}}$. Assuming that there exist FRBs detectable at $z\sim 15$ by sensitive telescopes such as FAST, the upper limit DM for FRB searches may be set to $\sim 9000 \ {\rm pc \ cm^{-3}}$. Large aperture telescopes tend to detect more FRBs if the FRB luminosity function index $\alpha_{\rm L}$ is steeper than 2, and vice versa. In any case, they tend to detect more low-luminosity FRBs at regular redshifts (say, $z<3$), with a small chance of detecting high-$z$ FRBs not reachable by smaller telescopes.

Publisher URL: http://arxiv.org/abs/1808.05277

DOI: arXiv:1808.05277v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.