Chapters
- Lensing
basics
- Geometrical
optics
- Lensing
geometry
- Lensing
derivation from General
Relativity
- Common
quantities in gravitational
lensing: bend angle, lensing
potential, Jacobian, shear,
convergence
- From
catalogues to statistics
- E
and B modes
- Correlation
functions and power spectra
- Aperture
mass
- Tomography
- Methods
for making density maps (2D and
3D)
- Intrinsic
alignments.
Abstract
| In
this course, taught jointly
between David Bacon and Tom
Kitching, we will survey the
vibrant field of cosmological weak
lensing. After introducing the
basic concepts of gravitational
lensing in a GR framework, we will
take the class on a journey
through the process of using weak
lensing to constrain cosmology. We
will follow the photons from
distant galaxies, consider the
effect of atmosphere and
telescope, and discuss how to
measure the distorted shapes of
the galaxy images on our
detectors. We will then show how
to use the shape information to
obtain statistical quantities
(e.g. the shear correlation
function) relevant to cosmology.
We will explain the cosmological
dependence of these statistics,
and show the prospects for
constraining cosmological
parameters with forthcoming
surveys. |
Bibliography
- For
general reviews
- "Weak
Gravitational Lensing and its
Cosmological Applications"
Henk Hoekstra, Bhuvnesh Jain,
Ann.Rev.Nucl.Part.Sci.58:99-123(2008)
http://xxx.lanl.gov/abs/0805.0139
- "Weak
Gravitational Lensing"
Matthias Bartelmann, Peter
Schneider,
Phys.Rept.340:291-472(2001) http://xxx.lanl.gov/abs/astro-ph/9912508
- "Cosmology
with Gravitational Lensing"
Alan Heavens,
in 'Dark Matter and Dark Energy',
ASSL 370, eds. Matarrese, Colpi,
Gorini, Moschella (2011) http://xxx.lanl.gov/abs/1109.1121
- For GR derivations
- For accessible
introductions to shape measurement
- "Handbook
for the GREAT08 Challenge: An image
analysis competition for
cosmological lensing"
Bridle et al. (2008), Annals of
Applied Statistics 2009, Vol. 3, No.
1, 6-37, http://xxx.lanl.gov/abs/0802.1214
- "Gravitational
Lensing Accuracy Testing 2010
(GREAT10) Challenge Handbook"
Kitching et al. (2011), Annals of
Applied Statistics 2011, Vol. 5, No.
3, 2231-2263,
http://xxx.lanl.gov/abs/1009.0779
|
