%0 Journal Article %T Fast computation of quadrupole and hexadecapole approximations in microlensing with a single point-source evaluation %+ Institut d'Astrophysique de Paris (IAP) %A Cassan, Arnaud %< avec comité de lecture %@ 0035-8711 %J Monthly Notices of the Royal Astronomical Society %I Oxford University Press (OUP): Policy P - Oxford Open Option A %V 468 %P 3993-3999 %8 2017 %D 2017 %Z 1703.03600 %Z 2017MNRAS.468.3993C %R 10.1093/mnras/stx849 %K gravitational lensing: micro %K methods: numerical %K planets and satellites: detection %K Astrophysics - Earth and Planetary Astrophysics %K Astrophysics - Instrumentation and Methods for Astrophysics %Z Sciences of the Universe [physics] %Z Sciences of the Universe [physics]/Astrophysics [astro-ph]Journal articles %X The exoplanet detection rate from gravitational microlensing has grown significantly in recent years thanks to a great enhancement of resources and improved observational strategy. Current observatories include ground-based wide-field and/or robotic world-wide networks of telescopes, as well as space-based observatories such as satellites Spitzer or Kepler/K2. This results in a large quantity of data to be processed and analysed, which is a challenge for modelling codes because of the complexity of the parameter space to be explored and the intensive computations required to evaluate the models. In this work, I present a method that allows to compute the quadrupole and hexadecapole approximations of the finite-source magnification with more efficiency than previously available codes, with routines about six times and four times faster, respectively. The quadrupole takes just about twice the time of a point-source evaluation, which advocates for generalizing its use to large portions of the light curves. The corresponding routines are available as open-source python codes. %G English %2 https://insu.hal.science/insu-03747456/document %2 https://insu.hal.science/insu-03747456/file/stx849.pdf %L insu-03747456 %U https://insu.hal.science/insu-03747456 %~ INSU %~ CNRS %~ IAP %~ SORBONNE-UNIVERSITE %~ SU-INF-2018 %~ SU-SCIENCES %~ SU-TI %~ ALLIANCE-SU