Study of Differences in the Dispersion of Transverse Harmonics of Slow Magnetoacoustic Waves Propagating in Coronal Loops

The paper examines differences in the phase speed dispersion of transverse harmonics of slow magnetoacoustic (MA) waves propagating inside coronal loops along magnetic field lines. Using the magnetic slab approximation for conditions corresponding to the solar corona plasma, the dependencies of the phase speeds of the first four transverse harmonics of slow MA waves on their periods are calculated. It is shown that the greatest differences are between the fundamental transverse harmonic and the higher harmonics in the region of short periods. With an increase in the ratio of gas-dynamic pressure to magnetic pressure (plasma beta), the effect manifests itself for higher values of periods. The current resolution of the instruments does not allow higher-order transverse harmonics to be distinguished based on wave dispersion data.