Propagation of high frequency waves in strongly magnetized plasmas - Mode ambiguities due to vacuum polarization

Astronomy and Astrophysics – Astrophysics

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High Temperature Plasmas, Plasma-Electromagnetic Interaction, Propagation Modes, Pulsars, Wave Propagation, X Ray Sources, High Frequencies, Polarization Characteristics, Radiative Transfer, Vacuum

Scientific paper

The question of normal-mode orthogonality for hot strongly magnetized plasmas, as they might occur in the accretion column of X-ray pulsars, is reexamined. The problem of complete nonorthogonality of the modes ('mode collapse') that may occur near the cyclotron resonance and in the region where the plasma goes from being plasma to vacuum-dominated is discussed in detail. If temperature, density and magnetic-field strength are fixed, the real and imaginary parts of the refractive index form Riemannian surfaces in the (omega, theta) plane, where theta is the propagation angle with respect to the B field of a wave of frequency omega. If the (complex) refractive index for one mode is required to be smooth and differentiable with respect to variations of (omega, theta) along any smooth path, then the mode correspondence is ambiguous and path-dependent near the mode-collapse parameters. Consequences for radiative-transport calculations are mentioned. The occurrence of mode collapse in the vicinity of atomic resonances is briefly discussed.

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