Abstract
The parametric decay of Langmuir waves into ordinary waves (O-mode) and low frequency ion cyclotron waves is studied in the Earth's magnetosphere plasma. An evolution of a density gradient due to the non-uniform ambient magnetic field is taken care of. The fluid model is employed to investigate the linear and nonlinear responses of plasma species to the coupled field of three waves in magneto-plasmas. It is observed that the magnetic field gradient modifies the dispersion relations of both electrostatic and electromagnetic waves. The nonlinear growth rate of the parametric instability is calculated by coupling the dispersion relations of pump and side band modes. The normalized growth rate is analyzed numerically for different sets of parameters under typical conditions. It is noticed that the gradient in the magnetic field contributes as a significant energy source to enhance the growth rate of the three wave interaction.
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