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标题：Introducing localized constraints in global geomagnetic field modelling
其他标题：Introducing localized constraints in global geomagnetic field modelling
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作者：Vincent Lesur
期刊名称：Earth, Planets and Space
电子版ISSN：1880-5981
出版年度：2006
卷号：58
期号：4
页码：477-483
DOI：10.1186/BF03351943
出版社：Springer Verlag
摘要：A set of functions is defined that can be used for modelling the internal part of the geomagnetic field. These functions are represented in term of spherical harmonics of a given maximum degree L and are centred at specific latitudes and longitudes. The number of functions needed and the positions of their centres are such that any potential field of maximum spherical harmonic degree L can be modelled. Formulae are obtained to transform between the potential field representation using these functions and a classic spherical harmonic representation. The shape of these functions can be optimized to make them reasonably localized, and from there it is shown how a localized constraint can be applied to an internal geomagnetic field model. The technique is demonstrated by means of models built from a few months of the Swarm mission synthetic data set.
关键词：Geomagnetism ;Geomagnetic Field ;Swarm ;Localized constraints ;wavelets