The probem of waves in a plasma, propagating oblique to the uniformly external magnetic field, is treated. On the basis of Vlasov's and Maxwell's equations, the dispersion relation is obtained in the form of the power series of (k
⊥/
Ω), where
Ωis the cyclotron frequency of electrons and the compent of the wave vector k⊥ is perpendicular to the magnetic field.
When the distribution function for electrons is anisotropic in the equilibrium state, the dispersion relation which is approximated to the first order of (k
⊥/
Ω) becomes an algebraic equation of 10th degree. The equation is solved by using the digital computer machine (HITAC 5020).
It is shown that the oblique propagation has hybrid regions in which longitudinal plasma waves are coupled to transverse plasma waves, while the parallel propagation does not have such a region. According as the angle between the parallel propagation and oblique one increases, hybrid regions get large.
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