Nonlinear propagation of whistlers in the ionosphere

Nonlinear Instability of Ion-Cyclotron Whistlers in the Ionosphere

“…Thus, using the basic system of equations governing the plasma dynamics (Chakraborty et al 1986;Sur et al 1987, present issue p. 665), the nonlinear dispersion relations for the LCP and RCP waves are obtained as (where only first harmonic parts correct up to the third order electric field are considered) …”

“…It is seen from (9) and (11) In order to obtain the total attenuation due to the damping of the ion-cyc1otron whistlers, we integrate the imaginary part k i + over the propagation path h, following the work of Das and Sur (1986), and obtain the attenuation …”

“…Linear propagation of ion-cyclotron whistlers in the ionosphere has been studied by many workers both theoretically and experimentally and it has been used as a diagnostic tool of ionospheric parameters (Gurnett et al 1965;Gurnett and Brice 1966;Gurnett and Shawhan 1966;Singh et al 1976;Das and Sur 1986;Das et al 1987;and others). But, when the power of the wave is large, its nonlinear interaction with the background plasma can no longer be ignored; many interesting phenomena then occur.…”

“…These have been investigated by Matsumoto et al (1980), Brinca (1981), Das (1983), Serra (1984), Murtaza and Shukla (1984), Nunn (1984) and others. Recently, Chakraborty et al (1986) theoretically studied the nonlinear propagation of ion-cyclotron whistlers in the ionosphere, and calculated the group travel time of the wave. Paul et al (1987) derived the wave number shift of the ion-cyclotron whistler from the nonlinear dispersion relation.…”

“…In the present paper, we derive the nonlinear change of the propagation vector of the ion-cyclotron whistler, following the dispersion relation by Chakraborty et al (1986). Numerical estimations are made to find the minimum intensity of the electric field required for the instability of the ion-cyclotron whistler.…”