We report a new theory to explain the long-observed frequency-doubling
phenomenon detected in the compressional component of ''high m'' ultr
alow-frequency signals seen in the Earth's magnetosphere. We show that
the effect is a nonlinear response directly associated with resonant
particles. The phase relationship observed between the linear signal a
nd the nonlinear frequency-doubled signal is predicted by the theory.
Our explanation and the fit with observation mean that the occurrence
of frequency doubling provides critical evidence of the fact that ring
current particles drive high-m waves.