An analytic treatment of gravitational microlensing for sources of finite size at large optical depths

Details An analytic treatment of gravitational microlensing for sources of finite size at large optical depths An analytic treatment of gravitational microlensing for sources of finite size at large optical depths

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...335...67d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 335, Dec. 1, 1988, p. 67-73.

Statistics

Computation

12

Computational Astrophysics, Geometrical Optics, Gravitational Lenses, Stellar Motions, Active Galactic Nuclei, Brightness, Markov Processes, Optical Thickness

Scientific paper

Statistical methods are developed for gravitational lensing in order to obtain analytic expressions for the average surface brightness that include the effects of microlensing by stellar (or other compact) masses within the lensing galaxy. The primary advance here is in utilizing a Markoff technique to obtain expressions that are valid for sources of finite size when the surface density of mass in the lensing galaxy is large. The finite size of the source is probably the key consideration for the occurrence of microlensing by individual stars. For the intensity from a particular location, the parameter which governs the importance of microlensing is determined. Statistical methods are also formulated to assess the time variation of the surface brightness due to the random motion of the masses that cause the microlensing.

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