## Statistical properties of the convergence due to weak gravitational lensing by non-linear structures
Density fluctuations in the matter distribution lead to distortions
of the images of distant galaxies through weak gravitational lensing
effects. This provides an efficient probe of the cosmological
parameters and of the density field. In this article, we investigate
the statistical properties of the convergence due to weak
gravitational lensing by non-linear structures (i.e. we consider small
angular windows ). Previous studies
have shown how to relate the second and third order moments of the
convergence to those of the density contrast while models based on the
Press-Schechter prescription provide an estimate of the tail of
. Here we present a method to obtain
This article contains no SIMBAD objects. ## Contents- 1. Introduction
- 2. Properties of the density field
- 3. Distortions induced by weak gravitational lensing
- 3.1. Shear tensor
- 3.2. Convergence
- 3.3. Probability distribution
- 3.4. A convenient approximation
- 3.5. Redshift distribution of the sources
- 4. Numerical results
- 5. Dependence on the redshift of the sources
- 6. Conclusion
- Appendices
- References
© European Southern Observatory (ESO) 2000 Online publication: April 17, 2000 |