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The electron cyclotron waves that originate\udat low altitudes (<0.5 R<sub>E</sub>) and observed by ground facilities have\udbeen studied in the presence of a weak parallel electric field in auroral\udmagnetoplasma consisting of trapped energetic auroral electrons and cold\udbackground electrons of ionospheric origin. The model distribution for auroral\udtrapped electrons is taken as Maxwellian ring distribution. An expression for\udthe growth rate has been obtained in the presence of parallel electric field\udassuming that the real frequency in the whistler mode is not affected by the\udpresence of the electric field. The results show that waves grow (or damp) in\udamplitude for a parallel (or antiparallel) electric field. The influence of the\udelectric field is more pronounced at a shorter wavelength spectrum. An increase\udin population of energetic electrons increases the growth rate and thus, plays a\udsignificant role in the wave excitation process in the auroral regions

Electron cyclotron waves in the presence of parallel electric fields in the Earth's auroral plasma