Lensing simulations by Taylor expansion — not so inefficient after all

@article{Naess2013LensingSB,
  title={Lensing simulations by Taylor expansion — not so inefficient after all},
  author={S. Naess and T. Louis},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2013},
  volume={2013},
  pages={001-001}
}
  • S. Naess, T. Louis
  • Published 2013
  • Physics
  • Journal of Cosmology and Astroparticle Physics
Cosmic Microwave Background lensing simulation by Taylor expansion has long been considered impractical due to slow convergence, but a recent flat-sky implementation shows that a simple trick eliminates this problem, making Taylor lensing a fast and simple lensing algorithm for the flat sky. Here we generalize the method to the full sky, and study its convergence and performance relative to a commonly used numerical code, Lenspix, with extensive benchmarks of both. Compared to the flat sky case… Expand

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References

SHOWING 1-10 OF 31 REFERENCES
Cosmic microwave background lensing reconstruction on the full sky
Gravitational lensing of the microwave background by the intervening dark matter mainly arises from large-angle fluctuations in the projected gravitational potential and hence offers a uniqueExpand
Lensed CMB simulation and parameter estimation
Modelling of the weak lensing of the CMB will be crucial to obtain correct cosmological parameter constraints from forthcoming precision CMB anisotropy observations. The lensing affects the powerExpand
Simulating weak lensing on CMB maps
Accurate predictions of cosmic microwave background (CMB) anisotropies and polarization are required for analyzing future CMB data sets, which ultimately require accurately simulated lensed maps. WeExpand
Fast and Optimal Cosmic Microwave Background Lensing Using Statistical Interpolation on the Sphere
We describe an accurate and fast pixel-based statistical method to interpolate fields of arbitrary spin on the sphere. We call this method Fast and Lean Interpolation on the Sphere (FLINTS). TheExpand
High-precision simulations of the weak lensing effect on cosmic microwave background polarization
We studied the accuracy, robustness, and self-consistency of pixel-domain simulations of the gravitational lensing effect on the primordial cosmic microwave background (CMB) anisotropies due to theExpand
Detection of gravitational lensing in the cosmic microwave background
Gravitational lensing of the cosmic microwave background (CMB), a long-standing prediction of the standard cosmological model, is ultimately expected to be an important source of cosmologicalExpand
Lensing simulation and power spectrum estimation for high-resolution CMB polarization maps
We present efficient algorithms for CMB lensing simulation and power spectrum es- timation for flat-sky CMB polarization maps. We build a pure B-mode estimator to remedy E to B leakage due to partialExpand
Lensed CMB power spectra from all-sky correlation functions
Weak lensing of the CMB changes the unlensed temperature anisotropy and polarization power spectra. Accounting for the lensing effect will be crucial to obtain accurate parameter constraints fromExpand
Planck 2013 results. XVII. Gravitational lensing by large-scale structure
On the arcminute angular scales probed by Planck, the cosmic microwave background (CMB) anisotropies are gently perturbed by gravitational lensing. Here we present a detailed study of this e_ect,Expand
Cosmological information from lensed CMB power spectra
Gravitational lensing distorts the cosmic microwave background (CMB) temperature and polarization fields and encodes valuable information on distances and growth rates at intermediate redshifts intoExpand
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