Behavior of separation constants for finite gyromagnetic plasmas

The type of the functions appearing in the expressions for electromagnetic fields in finite magnetoplasmas depends only on the properties of the medium manifested in separation constants. The
\omega-\beta
plane of the Brillouin diagram is partitioned into a definite number of zones characterized by the type of possible field solutions. The general behavior of the separation constants in the
\omega-\beta
plane including the complex region based on calculations covering a wide variation of the determining parameter is described. Effects of ion motions are discussed, and the generality of the presented approach is pointed out.