Inversion of polarimetric data from eclipsing binaries

Abstract

Abstract. We describe a method for determining the limb polarization and limb darkening of stars in eclipsing binary systems, by inverting photometric and polarimetric light curves.Because of the ill-conditioning of the problem, we use the Backus-Gilbert method to control the resolution and stability of the recovered solution, and to make quantitative estimates of the maximum accuracy possible. Using this method we confirm that the limb polarization can indeed be recovered, and demonstrate this with simulated data, thus determining the level of observational accuracy required to achieve a given accuracy of reconstruction. This allows us to set out an optimal observational strategy, and to critcally assess the claimed detection of limb polarization in the Algol system.The use of polarization in stars has been proposed as a diagnostic tool in microlensing surveys by Simmons et al. (1995), and we discuss the extension of this work to the case of microlensing of extended sources.

Catalogue of Algol type binary stars

“…Ribas et al 2002) and polarimetry (e.g. Lynch et al 1996;Coleman et al 1998) also have roles in dealing with Algols. With the relatively nearby and bright prototype of β Per itself, the whole picture was undoubtedly better substantiated by a fuller combination of all such information (Söderhjelm 1980;Mutel et al 1998).…”

Potential of occultation atmospheric sounding using an extended radiation source

“…These characteristics and their relation are usually discussed when speaking of the proposed method of atmospheric sounding. Rather detailed description of the method and its application are given in [4,5,9]. In the Backus-Gilbert method, the matrix K is not random and its elements are known numbers.…”