Contents

1 Introduction
1.1 Motivation
1.2 Objective
1.3 Symbols and notation

2 Theoretical preliminaries
2.1 Dark energy: A historical summary
2.2 Weak lensing
2.3 Power spectra
2.4 Fisher matrix formalism

3 Constraints on cosmological parameters by future dark energy surveys
3.1 Power spectrum tomography
3.2 The matter power spectrum
3.3 The Fisher matrix for the convergence power spectrum
3.4 Survey parameters
3.5 Fiducial model
3.6 Model-independent parameterization
3.7 The figure of merit
3.8 An implementation in Mathematica

4 Results
4.1 Consistency checks
4.2 Improving the figure of merit
4.3 Fixing various parameters
4.4 Uncertainties
4.5 Including priors
4.6 Comparison to current constraints
4.7 Possibility of ruling out modified gravity models
4.8 Problems and outlook

5 Conclusion