Electromagnetic instabilities associated with transverse plasma waves propagating perpendicular to an external uniform magnetic induction B0 are investigated for a two-temperature Maxwellian distribution function. The analysis shows that no instability develops if V‖e2 < V⊥e2 where V‖e2 and V⊥e2 are the electron temperatures parallel and perpendicular to B0. For V‖e2 > V⊥e2 an instability develops if ωce2/ωpe2 < V‖e2/c2 [1 − (32)12 (V⊥e/V‖e)] where ωce and ωpe are the cyclotron and plasma frequency, respectively, and c is the velocity of light. The allowable frequency regions for this type of electromagnetic wave to exist across B0 are studied. It is found that below the plasma frequency there is always a narrow allowable frequency band just below any harmonics of the ion or electron cyclotron frequencies. Each width of the allowable frequency band is calculated.
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