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A multiscale power spectrum for the analysis of the lithospheric magnetic field

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Abstract

Degree variances and the corresponding power spectrum form an important tool in analyzing the geomagnetic field. While they describe the contribution of a fixed spherical harmonic degree (i.e, the contribution of a certain “wavelength/frequency”) to the total power of the magnetic field, the aim of this paper is to introduce multiscale variances as a spatially oriented generalization. Multiscale variances can be designed such that they represent the contribution of features of a certain scale-dependent spatial extend to the total power. We present different examples to illustrate their interpretation and capabilities.

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Acknowledgments

This work was supported by a fellowship within the Postdoc-program of the German Academic Exchange Service (DAAD). Moreover, the author thanks Frederik Simons (Princeton University) for providing the continental shelf boundary data used in Beggan et al. (2013).

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  1. Geomathematics Group, University of Kaiserslautern, PO Box 3049, 67653 , Kaiserslautern, Germany

    C. Gerhards

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  1. C. Gerhards
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Correspondence to C. Gerhards.

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Dedicated to Willi Freeden’s 65th Birthday.

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Gerhards, C. A multiscale power spectrum for the analysis of the lithospheric magnetic field. Int J Geomath 5, 63–79 (2014). https://doi.org/10.1007/s13137-013-0053-x

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  • DOI: https://doi.org/10.1007/s13137-013-0053-x

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