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- W2023250041 abstract "We describe the effects of weak gravitational lensing by cosmological large-scale structure on the diffuse emission of 21 cm radiation from high-redshift neutral hydrogen during the era of reionization. The ability to observe three-dimensional information suggests that 21 cm studies may provide a useful context for weak-lensing studies. We focus on the gravitational lensing effects on both the angular power spectra and the intrinsic, three-dimensional power spectra. We present a new approach for calculating the weak-lensing signature that reduces to coupled systems of differential equations in a lensing cutoff scale, which are solved by approximating the magnification matrix. This method is applied to reionization models of the 21 cm background spectra up to small angular scales over a range in redshift. The effect on the angular power spectrum is typically less than 1% on small angular scales, and very small on scales corresponding to the feature imprinted by reionization bubbles, due to the near-scale invariance of the 21 cm angular power spectrum on these scales. We describe the expected effect of weak lensing on three-dimensional 21 cm power spectra, and show that lensing creates aspherical perturbations to the intrinsic power spectrum that depend on the polar angle of the wavevector. The effect on the three-dimensional power spectrum is less than 1% on scales k ≲ 0.1 h Mpc-1, but can be ≳1% for highly inclined modes for k ≳ 1 h Mpc-1. The angular variation of the lensing effect on these scales is well described by a quartic polynomial in the cosine of the polar angle. The detection of the gravitational lensing effects on 21 cm power spectra will require very sensitive, high-resolution observations by future low-frequency radio arrays." @default.
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- W2023250041 date "2006-08-20" @default.
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- W2023250041 title "Weak Gravitational Lensing of High‐Redshift 21 cm Power Spectra" @default.
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