The energy, amplitude, and phase spectra of wave packets with narrowband spectral lines of exponential type are studied using data from the ISEE 1 and 2 satellite vector measurements of the magnetic field in the magnetosphere foreshock region. An exponential variation of spectral density on the wings of spectral lines is observed in the range of up to 30 dB. The shapes of the spectral lines and the polarization characteristics of the wave packets under study match the mechanism of wave packet formation corresponding to the ion cyclotron instability of the solar wind plasma in the presence of counterstreaming suprathermal proton fluxes. The use of spectral line wing shapes for diagnosing the source of magnetic pulsations observed on the Earth's surface is experimentally justified.
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