Magnetohydrodynamic critical levels and radiative damping

Details Magnetohydrodynamic critical levels and radiative damping Magnetohydrodynamic critical levels and radiative damping

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...136..121c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 136, no. 1, July 1984, p. 121-126. Research supported by the Science and Engin

Astronomy and Astrophysics

Astrophysics

20

Magnetohydrodynamic Waves, Solar Atmosphere, Damping, Differential Equations, Hypergeometric Functions, Wave Equations, Wave Propagation

Scientific paper

The full MHD wave equation for radiatively damped wave propagation in a stratified magnetoatmosphere permeated by a horizontal magnetic field is derived. In the adiabatic case a discussion of the various types of singularity (critical level) is given. For an isothermal atmosphere with uniform magnetic field the damped wave equation is solved in terms of hypergeometric functions, and it is concluded that for many cases of interest the erstwhile discontinuity in the wave energy flux is considerably "smoothed out" by the damping. Substantial fluxes (≡108 erg cm-2 s-1) are found to be carried by some modes which, in the absence of critical levels, would carry no energy.

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