An empirical model of the global distribution of plasmaspheric hiss based on Van Allen Probes EMFISIS measurements

Using the wave measurements from the EMFISIS instrument onboard Van Allen Probes, we investigate statistically the spatial distributions of the intensity of plasmaspheric hiss waves. To reproduce the statistical results of plasmaspheric hiss distribution, we establish a third-order polynomial function of L-shell, magnetic local time (MLT), magnetic latitude (MLAT) and AE* as the fitting model. Quantitative comparisons indicate that the empirical model in terms of fitted functions can reflect favorably the major features of the global distribution of hiss wave intensity including the MLT asymmetry and substorm dependence. Our results therefore provide an empirically useful analytic model to be readily used for future global simulations of radiation belt electron dynamics under the impact of plasmaspheric hiss waves in geospace.