Asking Fast Radio Bursts (FRBs) for More than Reionization History

Sep 5, 2024
18 pages
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202320242025013
Abstract: (arXiv)
We propose different estimators to probe the epoch of reionization (EoR) intergalactic medium (IGM) using the dispersion measure (DM{\rm DM}) of the FRBs. We consider three different reionization histories which we can distinguish with a total of 1000\lesssim 1000DM{\rm DM} measurements during EoR if their redshifts are known. We note that the redshift derivatives of DM{\rm DM} are also directly sensitive to the reionization history. The major point of this work is exploring the variance in the DM{\rm DM} measurements and the information encoded in them. We find that the all-sky average DM(z)\overline{{\rm DM}}(z) gets biased from the LoS fluctuations in the DM{\rm DM} measurements introduced by the ionization of IGM during EoR. We find that the ratio σDM/DM\sigma_{\rm DM}/\overline{{\rm DM}} depends directly on the ionization bubble sizes as well as the reionization history. On the other hand, we also find that angular variance (coined as structurestructurefunctionfunction) of DM{\rm DM} encodes the information about the duration of reionization and the typical bubble sizes as well. We establish the usefulness of variances in DM{\rm DM} using toy models of reionization and later verify it with the realistic reionization simulations.
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  • 18 pages, 16 figures, Comments are welcome