Propagation of MHD-Beams - Hydromagnetic Waves in the Magnetosphere and the Ionosphere - page 269

This was taken into account. Direct examination shows that the correction in
(8.C.2) to the zero approximation is of the order of β . We obtain from (8.C.1)
the expression for the root k (0) of the fundamental waveguide mode:
k (0) = k 0 ε a −

κ a (0) ,

(8.C.3)

where

1

α √ ε g
1

.

i k 0 ε a κ a (0) =

∓ ±

h √ ε g

− γ

The upper sign refers to the physical and 2-nd sheets and the lower sign to
the 3-rd and 4-th sheets (see Table 7.2).

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