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A linear scattering problem in magnetohydrodynamics: Transmission resonances in a magnetic slab

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Abstract

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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Authors and Affiliations

  1. Department of Mathematical Sciences, Old Dominion University, Norfolk, Virginia, U.S.A.

    John A. Adam

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  1. John A. Adam
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Adam, J.A. A linear scattering problem in magnetohydrodynamics: Transmission resonances in a magnetic slab. Astrophys Space Sci 133, 317–337 (1987). https://doi.org/10.1007/BF00642491

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  • DOI: https://doi.org/10.1007/BF00642491

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