Papers › Towards simulating and quantifying the light-cone EoR 21-cm signal
Towards simulating and quantifying the light-cone EoR 21-cm signal
Rajesh Mondal, Somnath Bharadwaj, Kanan K. Datta
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The light-cone (LC) effect causes the Epoch of Reionization (EoR) 21-cm signal T_b (n̂, ν) to evolve significantly along the line of sight (LoS) direction ν. In the first part of this paper, we present a method to properly incorporate the LC effect in simulations of the EoR 21-cm signal that include peculiar velocities. Subsequently, we discuss how to quantify the second order statistics of the EoR 21-cm signal in the presence of the LC effect. We demonstrate that the 3D power spectrum P(k) fails to quantify the entire information because it assumes the signal to be ergodic and periodic, whereas the LC effect breaks these conditions along the LoS. Considering a LC simulation centered at redshift $8$ where the mean neutral fraction drops from $0.65$ to $0.35$ across the box, we find that P(k) misses out ∼40 % of the information at the two ends of the 17.41 MHz simulation bandwidth. The multi-frequency angular power spectrum (MAPS) 𝒞_ℓ(ν₁,ν₂) quantifies the statistical properties of T_b (n̂, ν) without assuming the signal to be ergodic and periodic along the LoS. We expect this to quantify the entire statistical information of the EoR 21-cm signal. We apply MAPS to our LC simulation and present preliminary results for the EoR 21-cm signal.
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