A plane electromagnetic wave is incident normally on the surface of a conducting fluid of large but

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A plane electromagnetic wave is incident normally on the surface of a conducting fluid of large but finite conductivity (σ), immersed in a uniform magnetic field B0 such that k ⊥ B0 . Assume that the magnetic field (B) of the incoming wave is parallel to B0. Show that there are two wave modes that penetrate the fluid. One of them is an unattenuated magnetosonic wave and the other one is a mode that has an effective skin depth δ = (Vs/Vm) δrc, where Vs and Vm are the sound and magnetosonic velocities, respectively, and δrc is the skin depth in a rigid conductor.

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