Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/1764
AuthorsDe Santis, A.* 
Falcone, C.* 
Lowes, F. J.* 
TitleRemarks on the mean-square values of the geomagnetic field and its components
Issue DateMay-1995
Series/Report no.38/2
URIhttp://hdl.handle.net/2122/1764
Keywordsspherical harmonics
orthogonality
geomagnetic spectrum
Subject Classification04. Solid Earth::04.05. Geomagnetism::04.05.99. General or miscellaneous 
05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous 
AbstractWhen considering functions on the Earth's (spherical) surface, mean-square values are often used to indicate their (relative) magnitude. If a function is separated into it, (essentially) spherical harmonic components then, provided these individual harmonic components are orthogonal over the surface, the concept of spatial power spectrum can be introduced, with each harmonic contributing separately to the total mean square value; this is true for the geomagnetic field vector B, its horizontal component vector H, and its vertical component z. However, because of the lack of orthogonality this concept is not applicable to the horizontal X and y components individually; problems which arise from this are discussed.
Appears in Collections:Annals of Geophysics

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