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Measuring Limb Darkening of Distant Stars Using Microlensing Events by Finite Element Method
, Ph.D. Dissertation Sharif University of Technology ; Rahvar, Sohrab (Supervisor)
Abstract
The finite-size effect in gravitational microlensing provides a possibility to measure the variation of surface brightness of stars from centre to limb which is called limb darkening profile. Measuring limb darkening profile provides information about star atmosphere. It is also useful in other fields of astrophysics. In this thesis we develop a numerical method to recover limb darkening of source stars from single lens microlensing light curves with finite source effect in which the lens transits the source disk. We use the Finite Element Method (FEM) as an inversion tool for discretization and inversion of the finite source effect integral equation. This method makes no explicit assumption...
OGLE 2008-BLG-290: An accurate measurement of the limb darkening of a galactic bulge K Giant spatially resolved by microlensing
, Article Astronomy and Astrophysics ; Volume 518, Issue 19 , 2010 ; 00046361 (ISSN) ; Heyrovsky, D ; Dong, S ; Gould, A ; Udalski, A ; Albrow, M. D ; Batista, V ; Beaulieu, J. P ; Bennett, D. P ; Bond, I. A ; Bramich, D. M ; Calchi Novati, S ; Cassan, A ; Coutures, C ; Dieters, S ; Dominik, M ; Dominis Prester, D ; Greenhill, J ; Horne, K ; Jørgensen, U. G ; Kozłowski, S ; Kubas, D ; Lee, C. H ; Marquette, J. B ; Mathiasen, M ; Menzies, J ; Monard, L.A.G ; Nishiyama, S ; Papadakis, I ; Street, R ; Sumi, T ; Williams, A ; Yee, J.C ; Brillant, S ; Caldwell, J.A.R ; Cole, A ; Cook, K.H ; Donatowicz, J ; Kains, N ; Kane, S.R ; Martin, R ; Pollard, K.R ; Sahu, K.C ; Tsapras, Y ; Wambsganss, J ; Depoy, D.L ; Gaudi, B.S ; Han, C ; Lee, C.-U ; Park, B.-G ; Pogge, R.W ; Kubiak, M ; Szymański, M.K ; Pietrzyński, G ; Soszyński, I ; Szewczyk, O ; Ulaczyk, K ; Wyrzykowski, L ; Abe, F ; Fukui, A ; Furusawa, K ; Gilmore, A.C ; Hearnshaw, J.B ; Itow, Y ; Kamiya, K ; Kilmartin, P.M ; Korpela, A.V ; Lin, W ; Ling, C.H ; Masuda, K ; Matsubara, Y ; Miyake, N ; Muraki, Y ; Nagaya, M ; Ohnishi, K ; Okumura, T ; Perrott, Y ; Rattenbury, N.J ; Saito, T ; Sako, T ; Sato, S ; Skuljan, L ; Sullivan, D ; Sweatman, W ; Tristram, P.J ; Yock, P.C.M ; Allan, A ; Bode, M.F ; Burgdorf, M.J ; Clay, N ; Fraser, S.N ; Hawkins, E ; Kerins, E ; Lister, T.A ; Mottram, C.J ; Saunders, E.S ; Snodgrass, C ; Steele, I.A ; Wheatley, P.J ; Anguita, T ; Bozza, V ; Harpsøe, K ; Hinse, T.C ; Hundertmark, M ; Kjærgaard, P ; Liebig, C ; Mancini, L ; Masi, G ; Rahvar, S ; Ricci, D ; Scarpetta, G ; Southworth, J ; Surdej, J ; Thöne, C.C ; Riffeser, A ; Seitz, S ; Bender, R ; Sharif University of Technology
Abstract
Context. Not only is gravitational microlensing a successful tool for discovering distant exoplanets, but it also enables characterization of the lens and source stars involved in the lensing event. Aims. In high-magnification events, the lens caustic may cross over the source disk, which allows determination of the angular size of the source and measurement of its limb darkening. Methods. When such extended-source effects appear close to maximum magnification, the resulting light curve differs from the characteristic Paczyński point-source curve. The exact shape of the light curve close to the peak depends on the limb darkening of the source. Dense photometric coverage permits measurement...