In this study, Auroral Kilometric Radiation (AKR) is used as a remote diagnostic tool for processes in the Earth's magnetosphere. Using satellite data and the spectrum of AKR fluctuations at different frequencies, we study fractal properties of the auroral region of the magnetosphere depending on the source height and the radiation generation frequency. Scaling is used to determine fractal characteristics (Hurst exponent and fractal dimension) of the medium in the region of AKR generation and their dynamics depending on the height and frequency. It is shown that with an increase in height (or, which is the same, with a decrease in signal frequency), the value of scaling and Hurst exponent increases, while the fractal dimension decreases with height. We considered different cases of AKR registration under various geomagnetic conditions, when AKR intensity differed by an order of magnitude; however, there is a steady trend towards a decrease in the fractal dimension with height during the AKR generation. The obtained values of the scaling and fractal parameters indicate that the processes under consideration exhibit self-similarity and long-range dependence.

Upper panel is a dynamic spectrogram of the AKR power according to measurements from the Interbol-2 satellite for November 22, 1997. Bottom panel is dependence of fractal dimension D and Hurst exponent H on height and frequency.

A.A. Chernyshov, D.V. Chugunin and M.M. Mogilevsky
JETP Letters 115, issue 1 (2022)