Abstract
Equations are derived which govern modulation of a continuous wave whistler mode transmission by gyroresonant electrons in a region limited in spatial extent. This model is similar to that used to explain the qualitative features of discrete VLF emissions in the geomagnetosphere. It is found that nonlinear wave-particle interaction results in amplitude modulation of the wave. An integral equation is then derived for the amplitude of the signal leaving the region. Numerical solutions of this equation for a loss cone electron distribution and for parameters typical of the geomagnetosphere at L = 3 result in quasi-periodic pulsations in the amplitude for sufficiently high densities of resonant electrons. The frequency of these pulsations is in the several-hertz range, consistent with observations. Similarities of and differences between these calculations and previous theoretical studies of ‘key-down’ transmissions are discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
