A new cosmic shear function: optimized E-/B-mode decomposition on a finite interval

@article{Fu2009ANC,
  title={A new cosmic shear function: optimized E-/B-mode decomposition on a finite interval},
  author={Liping Fu and Martin Kilbinger},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2009},
  volume={401},
  pages={1264-1274}
}
  • L. Fu, M. Kilbinger
  • Published 6 July 2009
  • Physics
  • Monthly Notices of the Royal Astronomical Society
The decomposition of the cosmic shear field into E and B mode is an important diagnostic in weak gravitational lensing. However, commonly used techniques to perform this separation suffer from mode-mixing on very small or very large scales. We introduce a new E-/B-mode decomposition of the cosmic shear two-point correlation on a finite interval. This new statistic is optimized for cosmological applications, by maximizing the signal-to-noise ratio (S/N) and a figure of merit (FoM) based on the… 

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References

SHOWING 1-10 OF 34 REFERENCES

B-modes in cosmic shear from source redshift clustering

Weak gravitational lensing by the large scale structure can be used to probe the dark matter distribution in the Universe directly and thus to probe cosmological models. The recent detection of

E- and B-mode mixing from incomplete knowledge of the shear correlation

Context. Aims. We quantify the mixing of the measured cosmic-shear E- and B-modes caused by the lack of shear-correlation measurements on small and large scales, arising from a lack of close

COSMOS: Three-dimensional Weak Lensing and the Growth of Structure*

We present a three-dimensional cosmic shear analysis of the Hubble Space Telescope COSMOS survey, the largest ever optical imaging program performed in space. We have measured the shapes of galaxies

Very weak lensing in the CFHTLS Wide: Cosmology from cosmic shear in the linear regime

Aims. We present an exploration of weak lensing by large-scale structure in the linear regime, using the third-year (T0003) CFHTLS Wide data release. Our results place tight constraints on the

Comparing cosmic shear measures - Optimizing the information content of cosmic shear data vectors

TLDR
An optimized data vector of cosmic shear measures (N) is introduced, which retains the advantages of M 2� and is also sensitive to the large-scale information of Pκ and strongly improves constraints on cosmological parameters.

The three-point correlation function of cosmic shear II. Relation to the bispectrum of the projected mass density and generalized third-order aperture measures

Cosmic shear, the distortion of images of high-redshift sources by the intervening inhomogeneous matter distribu- tion in the Universe, has become one of the essential tools for observational

Cosmological constraints from the 100-deg2 weak-lensing survey

We present a cosmic shear analysis of the 100-deg 2 weak-lensing survey, combining data from the CFHTLS-Wide, RCS, VIRMOS-DESCART and GaBoDS surveys. Spanning ∼100 deg 2 , with a median source

GaBoDS: The Garching-Bonn Deep Survey: VI. Cosmic shear analysis

Aims. We present a cosmic shear analysis and data validation of 15 square degree high-quality R-band data of the Garching-Bonn Deep Survey obtained with the Wide Field Imager of the MPG/ESO 2.2m

Analysis of two-point statistics of cosmic shear. II. Optimizing the survey geometry

We present simulations of a cosmic shear survey and show how the survey geometry influences the accuracy of determination of cosmological parameters. We numerically calculate the full covariance

Intrinsic correlation of galaxy shapes: implications for weak lensing measurements

Weak gravitational lensing is now established as a powerful method to measure mass fluctuations in the universe. It relies on the measurement of small coherent distortions of the images of background