Primordial quadrupole-induced polarization from filamentary structures and galaxy clusters

We present the first computation of the cosmic microwave background (CMB) polarization power spectrum from galaxy clusters and filaments using hydrodynamic simulations of large-scale structure. We give the E- and B-mode power spectra of the CMB quadrupole-induced polarization between l similar to 560 and 20,000. We find that the contribution from warm ionized gas in filamentary structures dominates the polarized signal from galaxy clusters by more than 1 order of magnitude on large scales (below l similar to 1000) and by a factor of about 2 on small scales (l greater than or equal to 10; 000). We study the dependence of the power spectra with sigma(8). Assuming the power spectra vary as sigma(8)(n), we find n = 3.2-4.0 for filaments and n = 3.5-4.6 for clusters.