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Triple gravitational microlens
Daněk, Kamil ; Heyrovský, David (advisor) ; Bozza, Valerio (referee) ; Dovčiak, Michal (referee)
Gravitational microlenses are stellar- or planetary-mass objects which cause a transient amplification when passing in the foreground of a distant source. We study microlenses that consist of three point masses. Such a model can represent a triple star, a binary star with a planet, a star with two planets, or a star + planet + moon system. Up to date, four planetary systems have been discovered in triple-lens microlensing events. We aim to expand the theory of triple lenses in order to simplify the interpretation of observed data and enable correct analysis in more complex cases. We focus mainly on the classification of triple-lens models with respect to their caustics. For a given source trajectory, the caustic determines prominent features on the light curve and thus its knowledge is essential for the analysis of microlensing events. We map the topology of the critical curve (the main caustic image) and the number of cusps of the caustic in the lens-model parameter space. We introduce methods for the classification of general $n$-point-mass microlenses. The methods are then demonstrated on four two- parameter and three three-parameter models. Furthermore, we study amplification maps for both point sources and extended sources, with an emphasis on new features appearing in triple and general $n$-point-mass...
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Measuring accretion disk properties from quasar microlensing
Ledvina, Lukáš ; Heyrovský, David (advisor) ; Dovčiak, Michal (referee)
When we observe a~distant quasar through an intervening galaxy we may see a~number of observable images caused by hte deflecton of light in galaxy's gravitational field. If an image passes through the stellar population of the galaxyit can be additionally microlensed by individual stars. In this work we first compute microlensing magnification maps for a~point source. We than use these maps to determine light curves for extended source, namely for a~quasar accretion disc.In the second part we compare obtained light curves for different discs and we will study the influence of inclination, orientation and surface brightness distribution of an accretion disk on the light curve during an individual crossing of a~cusp and fold of microlensing custic network
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Resolving stellar surfaces with binary gravitational microlensing
Pejcha, Ondřej ; Heyrovský, David (advisor) ; Dovčiak, Michal (referee)
Binary gravitational microlensing has demonstrated excellent prospects for studying the surface brightness distribution of stars. In this work we study the extended-source eects that aect the amplication of the source ux. We identify regions in the geometry that are sensitive to the extended source and nd previously unknown areas between facing cusps of multi-part caustics. We nd out that the probability of detecting the extended-source eect can be as much as two times higher than the probability of observing pure caustic crossing. We explore the chromaticity of binary microlensing and compare two classes of models of limb darkening. We describe spectral changes during binary microlensing and compare their amplitude to the point-lens case. Finally, we investigate the linear fold approximation and nd signicant residuals even in cases favorable for the method.
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Gravitational microlensing by a few-body system
Daněk, Kamil ; Dovčiak, Michal (referee) ; Heyrovský, David (advisor)
In the present work we study gravitational microlenses consisting of a few point masses. We present the theoretical framework of n-point-mass lensing, and followup by a more detailed description of binary and triple lenses. We demonstrate the analysis of critical curves and caustics of the bojary lens and apply the same approach to the case of triple lenses. We divided several two-dimensional cuts of the parameter space into areas with different topology of critical curves. We studied the amplification of a source located in the vicinity of interesting parts of the caustic. We tested the applicability of an approximation for the amplification at the intersection of two folds. Finally, we applied the formalism to the case of the observed triple-lens microlensing event OGLE-2006-BLG-109.
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