Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.133..317a&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 133, no. 2, 1987, p. 317-337.
Astronomy and Astrophysics
Astrophysics
1
Linear Equations, Magnetohydrodynamic Flow, Plasma Resonance, Reflectance, Schroedinger Equation, Transmissivity, Magnetic Fields, Nonlinear Equations, Solar Atmosphere
Scientific paper
The reduced linearized equations of ideal magnetohydrodynamics which are highly nonlinear in the eigenvalue parameter, are linearized about a prescribed value of that parameter, enabling the equation to be expressed as a Schrödinger equation with piecewise uniform coefficients. Reflection and transmission coefficients are obtained using standard techniques, and in addition to the possibility of total transmission of an incident wave occurring (together with complex-valued resonance energies), the magnetic field introduces other total transmission energy levels which have no counterpart in the absence of a magnetic field.
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