A&A 413, 465-476 (2004)

DOI: 10.1051/0004-6361:20034172

## Analysis of two-point statistics of cosmic shear

##### II. Optimizing the survey geometry

**M. Kilbinger**

^{1}and P. Schneider^{1, 2}^{1}Institut f. Astrophysik u. Extr. Forschung, Universität Bonn, Auf dem Hügel 71, 53121 Bonn, Germany

^{2}Max-Planck-Institut f. Astrophysik, Postfach 1317, 85741 Garching, Germany

(Received 8 August 2003 / Accepted 30 September 2003)

** Abstract **

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
matrices
of two-point statistics of cosmic shear, based on the
expressions derived in the first paper of this series. The individual
terms are compared for two survey geometries with large and small cosmic variance.
We use analyses based on maximum likelihood of
and the Fisher
information matrix in order to derive expected constraints on
cosmological parameters. As an illustrative example, we simulate various
survey geometries consisting of 300 individual fields of
size, placed (semi-)randomly into patches
which are assumed to be widely separated on the sky and therefore uncorrelated.
Using the aperture mass statistics
, the optimum
survey consists of 10 patches with 30 images in each patch. If
and
are supposed to be extracted from the data, the
minimum variance bounds on these three parameters are 0.17, 0.25 and
0.04 respectively. These variances increase slightly when the initial power
spectrum index
is also to be determined from the data. The
cosmological constant is only poorly constrained.

**Key words:**cosmology: observations

**--**gravitational lensing

**--**cosmology: large-scale structure of Universe

Offprint request: M. Kilbinger, kilbinge@astro.uni-bonn.de

SIMBAD Objects in preparation

**©**

*ESO 2004*