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Outline: Introduction Cosmological applications Systematics Summary

Cosmological studies with Weak Lensing Effects Zuhui Fan Dept. of Astronomy, Peking University. Outline: Introduction Cosmological applications Systematics Summary. Introduction Gravitational lensing effects arise from the light deflection by the intervening structures.

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Outline: Introduction Cosmological applications Systematics Summary

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  1. Cosmological studies with Weak Lensing Effects Zuhui Fan Dept. of Astronomy, Peking University

  2. Outline: • Introduction • Cosmological applications • Systematics • Summary

  3. Introduction Gravitational lensing effects arise from the light deflection by the intervening structures

  4. Weak Lensing Effects Weak distortions caused by the large-scale structures of the universe: common but weak • “see” the dark matter directly  powerful probes of the distribution of dark matter • sensitive to the formation of large-scale structures and the global geometry of the universe  highly promising in dark energy studies

  5. Observationally challenging accurate shape measurements: lensing induced shape distortions are much weaker than the intrinsic ellipticities of galaxies  statistical measurements of the coherent distortions PSF corrections accurate calibration of the redshift distribution of source galaxies

  6. Observational advances Statistical methods theoretical studies  Fast developing forefront of research

  7. density inhomogeneity • Cosmological Applications background source galaxy distribution

  8. map out dark matter distribution

  9. Weak lensing clusters: avoid complicated gas physics Tang & Fan (2005, ApJ) CFHTLS Deep

  10. Cosmic shear : constraining cosmological parameters Fu et al. 2008 A&A (CFHTLS)

  11. Li, H. et al. (2009,PhLB) (RCS, VIRMOS,GaBoDS,CFHT(22)) total ~100deg*deg, varying depth

  12. Weak lensing observations start to provide useful and complementary constraints on Ωm, σ8 , and mν. Current data are largely limited by statistical errors due to relatively small survey areas and relatively shallow depth. Future weak lensing observations: go wide and deep LSST, Euclid, SNAP, (DOME A)......

  13. Future surveysSun, L., Zhao, G.B. et al. Hoekstra & Jain 2008 5000deg2 zm=0.9 3 zbins

  14. Systematics * redshift distribution of source galaxies magnitude distribution  redshift distribution photo-z measurement * intrinsic alignments of source galaxies shear-ellipticity correlation * Nonlinear power spectrum * observational systematics * ……

  15. Catastrophic Errors in photo-z(ApJ, 2009) Weak lensing effects are sensitive to the redshift distribution of source galaxies It is impractical to measure the redshift of vast number of galaxies with z>1 spectroscopically The technique developed to estimate the redshift of galaxies photometrically is tremendously important : multi-filter broad band measurements

  16. (Adelberger et al, 2004) 9 filters 390-1700nm

  17. Effects on parameter determination Ma et al. 2006 degradation

  18. Effects on parameter determination We concentrate on the catastrophic island, and emphasize the bias Major island: (0.35,3.5) Overall fraction ~1% Biasing the parameter determination

  19. Bias on dark energy parameter estimates 5 redshift bins

  20. Without knowledge on the catastrophic errors both chi-square fitting and Fisher matrix linear analysis fitted fiducial large bias is induced >> 3σ

  21. Spectral calibrations are needed to gain knowledge on catastrophic errors [Nspec:zp=(3,4)]

  22. Calibration requirement fsky=0.25 (10000deg2 ) Nspec > 8600 (zp 3-4)

  23. remove problematic galaxies zp<0.5 and zp>3 degradation factor ~1.4

  24. Summary * catastrophic redshift errors can lead to large biases on parameter determinations * spectral calibration are required * remove galaxies in problematic bins ---> degradation factor ~ 1.4 * other calibration methods fsky=0.25 (10000deg2 ) Nspec > 8600 (zp 3-4)

  25. Weak lensing effects hold great potential in cosmological studies Much more investigations are needed

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