A cyclotron resonance mechanism for very-low-frequency whistler-mode sideband wave radiation. II. Description of internal (‘‘trapped’’) resonances

Abstract

The second part of the paper presents an analytical and numerical treatment of cyclotron resonances formed inside the potential wells of a set of monochromatic carriers propagating in a duct in the magnetosphere. It is found that those resonances produce oscillatory disturbances in the potential well charge distribution that frequency modulate the carriers to produce sidebands. The frequency spectrum is the same as the one generated by the external resonances defined in part I. The carrier trapping frequencies do not affect the sideband wave frequencies and do not impose sharp constraints on the spectrum bandwidth, on the sideband line separation, or on the maximum interacting carrier frequency separation. When not highly distorted by wave growth, a two-carrier sideband spectrum should have an approximately exponential profile.