Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents

Abstract

This chapter gives a brief overview on the application of multiscale techniques to the modeling of geomagnetic problems. Two approaches are presented: one focusing on the construction of scaling and wavelet kernels in frequency domain and the other one focusing on a spatially oriented construction resulting in locally supported wavelets. Both approaches are applied exemplarily to the modeling of the crustal field, the reconstruction of radial current systems, and the definition of a multiscale power spectrum.