Source Reconstruction as an Inverse Problem
Abstract
Inverse Problem techniques offer powerful tools which deal naturally with marginal data and asymmetric or strongly smoothing kernels, in cases where parameterfitting methods may be used only with some caution. Although they are typically subject to some bias, they can invert data without requiring one to assume a particular model for the source. The BackusGilbert method in particular concentrates on the tradeoff between resolution and stability, and allows one to select an optimal compromise between them. We use these tools to analyse the problem of reconstructing features of the source star in a microlensing event, show that it should be possible to obtain useful information about the star with reasonably obtainable data, and note that the quality of the reconstruction is more sensitive to the number of data points than to the quality of individual ones.
 Publication:

Microlensing 2000: A New Era of Microlensing Astrophysics
 Pub Date:
 2001
 arXiv:
 arXiv:astroph/0004200
 Bibcode:
 2001ASPC..239..204G
 Keywords:

 Astrophysics
 EPrint:
 8 pages, 3 figures. To be published in "Microlensing 2000, A New Era of Microlensing Astrophysics", eds., J.W. Menzies and P.D. Sackett, ASP Conference Series