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Light-curve calculations for triple microlensing systems

2021/02/09 by Renkun Kuang, Shude Mao, Tianshu Wang +3 · 9 citations
Engineering · Mathematics · Physics and Astronomy · #Adaptive optics and wavefront sensing #Advanced optical system design #Astrophysics #Boundary (topology) #Classical mechanics #Gravitational microlensing #Interpolation (computer graphics) #Lens (geology) #Magnification #Mathematical analysis #Mathematics #Optics #Physics #Stars #Stellar, planetary, and galactic studies #astro-ph.IM

paper · pdf · doi:10.1093/mnras/stab509

published in Monthly Notices of the Royal Astronomical Society 503(4), 6143-6154 (Oxford University Press) · 13 pages, 11 figures, accepted by MNRAS

openalex publication_date 2021/02/09 · arxiv created 2021/02/18 · arxiv updated 2021/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

ABSTRACT We present a method to compute the magnification of a finite source star lensed by a triple lens system based on the image boundary (contour integration) method. We describe a new procedure to obtain continuous image boundaries from solutions of the tenth-order polynomial obtained from the lens equation. Contour integration is then applied to calculate the image areas within the image boundaries, which yields the magnification of a source with uniform brightness. We extend the magnification calculation to limb-darkened stars approximated with a linear profile. In principle, this method works for all multiple lens systems, not just triple lenses. We also include an adaptive sampling and interpolation method for calculating densely covered light curves. The C++ source code and a corresponding python interface are publicly available.

Citations