论文标题
基于FFT的评估微透明放大倍数的扩展源
FFT based evaluation of microlensing magnification with extended source
论文作者
论文摘要
扩展的源对微透明放大倍率的影响不可忽略，必须在微透析的分析中考虑。但是，对扩展源放大的评估在数值上是昂贵的，因为它包含了二维积分与源配置文件。各种研究已经开发了将这种积分不可分割的方法降低到一维综合或无整体形式的方法，这些形式采用了一些近似值或取决于源曲线的确切形式，例如磁盘，线性/二次肢体变形轮廓。在本文中，我们开发了一种新方法来评估基于快速傅立叶变换（FFT）的扩展源放大，该方法不采用任何近似值，并且适用于任何源配置文件。我们对基于FFT的方法的实现可以快速评估扩展源放大的速度，以至于$ \ sim1 $ msec（笔记本电脑上的CPU时间），并保证准确的准确性优于0.3％。基于FFT的方法可用于模板拟合到现有调查和即将进行的调查中的巨大数据集。
The extended source effect on microlensing magnification is non-negligible and must be taken into account for in an analysis of microlensing. However, the evaluation of the extended source magnification is numerically expensive because it includes the two-dimensional integral over source profile. Various studies have developed methods to reduce this integral down to the one-dimensional-integral or integral-free form, which adopt some approximations or depend on the exact form of the source profile, e.g. disk, linear/quadratic limb-darkening profile. In this paper, we develop a new method to evaluate the extended source magnification based on fast Fourier transformation (FFT), which does not adopt any approximations and is applicable to any source profiles. Our implementation of the FFT based method enables the fast evaluation of the extended source magnification as fast as $\sim1$ msec (CPU time on a laptop) and guarantees an accuracy better than 0.3%. The FFT based method can be used for the template fitting to a huge data set of light curves from the existing and upcoming surveys.
