MASS 2023 Course: Gravitational Lenses



Syllabus: course overview odp pdf
01. Gravitational lenses: definition, light deflection angle, types and applications odp pdf
02. Cosmological principle, Friedmann-Lemaître-Robertson-Walker metric, perfect fluid,
Friedmann equations, cosmological parameters, standard ΛCDM cosmological model
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03. Distance measures in cosmology: proper and comoving distance, angular diameter
distance, luminosity distance, distance-duality relation
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04. Observational cosmology: determination of cosmological parameters using Type Ia
supernovae and cosmic microwave background radiation
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05. Geometrically thin lens, lens equation, Einstein radius, point-like lenses: image
positions and their magnification
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06. Paczyński light curves, binary lenses and their application for detection of exoplanets,
pixel lensing
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07. Extended lenses: surface mass density, convergence, deflection (lensing) potential
and simple lens models
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08. Fermat potential, lensing time delay and determination of the Hubble constant from
the measured time delays of gravitationally lensed quasars
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09. Shear, distortion (Jacobian) matrix, local magnification, critical curves and caustics odp pdf
10. Weak lensing: reduced shear, mass reconstruction and applications for detection of
dark matter
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11. Simple microlens models and their influence on emission from Active Galactic Nuclei,
constraints on cosmological parameters from statistics of strong lenses
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Exercises in Python