Magnetic Arcades in Stellar Coronae. I. Cylindrical Geometry

X-ray spectroscopy performed by diierent astronomical spacecrafts has shown that many active late-type stars possess coronae. For such reason, the magnetic structure of stellar coronae has raised considerable interest and, by analogy with the Sun, it is generally assumed that stellar coronae are structured by magnetic elds having the shape of arcades. Most of those coronal magnetic eld conngurations assume translational symmetry and are based in planar source surfaces. However, as soon as either the length or the width of such source surfaces become not negligible as compared to the stellar radius, the application of the cylindrical geometry seems to be more appropriate. Then, one way of obtaining coronal magnetic conngurations is to deal with source domains extended over a cylindrical surface. In this paper we generate potential coronal arcades based on cylindrical source surfaces with non negligible length or width compared to the stellar radius. The ux function, the magnetic eld components, the shape of magnetic eld lines and other characteristic magnitudes have been obtained and analyzed for both cases.