Magnetohydrodynamic Wave Modes of Solar Magnetic Flux Tubes with an Elliptical Cross Section

Abstract The purpose of this paper is to study the behavior magnetohydrodynamic (MHD) wave modes that propagate in compressible magnetic flux tubes with an elliptical cross section embedded a environment. dispersion relation describes MHD permitted tube solved numerically. Distortion spatial structure purely real eigenmodes from well-known circular model has been considered. It studied under both photospheric and coronal conditions. shown (i) solutions form even Mathieu functions are more sensitive value eccentricity than odd functions; (ii) if ellipticity increases, sausage mode ( m = 0) cannot be easily identified; (iii) correspond fluting 3) can misinterpreted as kink 1) due their similarities. In contrast polarized along major axis strongly depend on tube, surface practically unaffected by ellipticity. Several examples pores sunspots have visualized. obtained approximation cylindrical symmetry agreement previous studies.