A vector wavelet approach to iono- and magnetospheric geomagnetic satellite data

✍ Scribed by Michael Bayer; Willi Freeden; Thorsten Maier

• Book ID: 104407162
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 552 KB
• Volume: 63
• Category: Article
• ISSN: 1364-6826
• DOI: 10.1016/s1364-6826(00)00234-0

✦ Synopsis

A multiscale method is introduced using spherical (vector) wavelets for the computation of the earth's magnetic ÿeld within source regions of ionospheric and magnetospheric currents. The considerations are essentially based on two geomathematical keystones, namely (i) the Mie representation of solenoidal vector ÿelds in terms of toroidal and poloidal parts and (ii) the Helmholtz decomposition of spherical (tangential) vector ÿelds. Vector wavelets are shown to provide adequate tools for multiscale geomagnetic modelling in form of a multiresolution analysis, thereby completely circumventing the numerical obstacles caused by vector spherical harmonics. The applicability and e ciency of the multiresolution technique is tested with real satellite data.