A New Multipolar Mode in Bounded Gyrotropic Plasma

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Abstract
Multipolar modes in a cylindrical, axially magnetized, cold, collisionless plasma that propagate near the cyclotron frequency are studied quantitatively. Examination of electromagnetic field patterns shows that in addition to the well‐known spectrum of cyclotron modes there exists at positive azimuthal eigenvalues (n>0 in expjnφ) a mode that is distinguished by a different type of field pattern. The electric field of this mode is predominantly solenoidal, in contrast with the cyclotron modes, where a substantial part of the electric field is lamellar. This mode may be of importance in thick‐beam parametric amplifiers at microwave frequencies (X‐band) and in beam—plasma interaction near cyclotron frequency.

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