## Abstract

An overview is presented of the characteristics of hydromagnetic waves propagating in Harris-type current sheet with magnetic field of B_{x}(z) × ̌ and an embedded guide B_{y} component based on the ideal magnetohydrodynamic (MHD) model. The wave equations are expressed in the (k_{∥}, k, z) coordinates, and singularities are identified for general cases of k_{y}≠0 and B_{y} ≠ 0, where k _{∥} and k are the components of the wave vector parallel and perpendicular to the local magnetic field, respectively, and the inhomogeneity is in the z direction. The presence of B_{y} may lead to the rotation of the magnetic field relative to the wave vector so that a singular layer with k = 0 surrounded by a neighboring region of k ≠ 0 may exist. This result is in contrast with the Case of B_{y} = 0 for which Alfvén or field-line resonance associated with the mathematical singularity tends to occur for k ≠= 0 and ω = k_{∥} C_{A}, where C _{A} is the Alfvén speed. The possibility for MHD waves with frequency ofω = k_{∥} C_{A} to propagate through the inhomogeneous layer with B_{y} ≠ 0 is analyzed, and numerical solutions for discrete eigenmodes with various free parameter values are presented.

Original language | English |
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Article number | A12209 |

Journal | Journal of Geophysical Research: Space Physics |

Volume | 113 |

Issue number | 12 |

DOIs | |

State | Published - 1 Dec 2008 |

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