Propagation of compressive waves through fibril magnetic fields. II - Scattering from a slab of magnetic flux tubes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Acoustic Scattering, Compression Waves, Magnetic Flux, Magnetohydrodynamics, Solar Magnetic Field, Solar Oscillations, Sunspots, Wave Propagation, Geometry, Phase Velocity, Plasma Slabs, Wavelengths

Scientific paper

The reflection/transmission of an acoustic plane wave from/through a slab of parallel, randomly distributed, magnetic flux tubes is worked out in the long wavelength (thin flux tube) limit. These results are then contrasted with the reflection/transmission problem for (i) a uniformly magnetized homogeneous slab and (ii) an infinite half-space of parallel, randomly distributed, flux tubes. A thin slab of magnetic fibrils possesses properties that are qualitatively similar to those of the uniformly magnetized slab. The slab of magnetic fibrils does not, however, exhibit the total reflection or complete transmission of the incident wave that are possible for the uniformly magnetized slab. A thick slab of magnetic fibrils behaves more nearly like the infinite half-space of fibrils: the amplitude of the reflected wave is more-or-less independent of the width of the slab, and the amplitude of the transmitted wave is vanishingly small. The distinction between thin and thick slabs of randomly placed fibrils depends critically upon the properties of the composite magnetic medium the magnetic volume filling factor and the mean flux tube separation and the wavelength of the incident acoustic plane wave.

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