The analysis of gradiometric data with Slepian functions |
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| Institution: | 1. School of Marine Science and Engineering, Plymouth University, Plymouth, United Kingdom;2. Department of Physical Oceanography, CICESE, Ensenada, Mexico;1. Energy Systems Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA;2. Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA;3. Manufacturing Technology, PD>, Caterpillar Inc., 14009 Old Galena Road, Mossville, IL 61552, USA;1. Department of Physical Geography, Stockholm University, Stockholm 10691, Sweden;2. Bolin Centre for Climate Research, Stockholm University, Stockholm 10691, Sweden;3. Akvaplan-niva, Tromsø 9296, Norway;4. Norwegian Polar Institute, Tromsø 9296, Norway;5. Department of Physics and Technology, University of Tromsø, Tromsø 9019, Norway;6. School of Marine Sciences and Policy, University of Delaware, Newark, DE 19716, USA;7. Norwegian Meteorological Institute, Tromsø 9293, Norway |
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| Abstract: | In the last two years the representation of harmonic functions defined only through data on spheres with polar caps, has been studied by the authors, using a set of functions orthonormal both on the sphere and on the data set, which is a generalization of planar Slepian functions to the spherical case. This idea can be applied for instance to derive the anomalous potential T both at satellite's altitude and at ground level, from a set of satellite radial gradiometric observations, Trr. The method has been compared with a simple harmonic analysis showing a superior capability of retrieving the unknown potential, particularly close to the polar caps. |
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