Vector tomography for the coronal magnetic field

Coronal Magnetic Field Measurements

A long-standing solar problem has been to measure the coronal magnetic field. We believe it determines the coronal structure and dynamics from the upper chromosphere out into the heliospheric environment. It is only recently that Zeeman splitting observations of infrared coronal emission lines have been successfully used to deduce the coronal magnetic flux density. Here we extend this technique...

Reconstruction of Solar Coronal Linear Force-Free Magnetic Field

Determination of the coronal magnetic field by coronal loop oscillations

We develop a new method for the determination of the absolute value of the magnetic field strength in coronal closed magnetic structures, based on the analysis of flare-generated oscillations of coronal loops. Interpretation of the oscillations observed in terms of global standing kink waves allows to connect the period of the oscillations and the loops length with the magnetic field strength i...

Vector Field Tomography

Computerized tomography usually deals with the determination of scalar quantities from integral information along lines. During the 90's tomographic methods have been developed that enable (at least partial) recovery also of vector elds from integral information. Depending on which component of the vector eld is considered, e.g. the ones parallel or transversal to the line, diierent characteris...

Exponential Vector Field Tomography

Department of Mathematics, Lund Institute of Technology P.O. Box 118, S-221 00 LUND, Sweden email:[email protected] Abstract. In the exponential Radon transform in R2 , the integrals of a scalar function f over lines, with exponential weight functions, are determined. In this paper we demonstrate how to define two different kinds of exponential Radon transforms for vector fields in R2 in a natu...