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Ann. Geophys., 24, 2573-2582, 2006
www.ann-geophys.net/24/2573/2006/
© European Geosciences Union 2006
New method for solving inductive electric fields in the non-uniformly conducting ionosphere
H. Vanhamäki, O. Amm, and A. Viljanen
Finnish Meteorological Institute, Space Research Unit, P.O. Box 503, 00101 Helsinki, Finland
Abstract. We present a new calculation method for solving inductive electric fields in
the ionosphere. The time series of the potential
part of the ionospheric electric field, together with the Hall and Pedersen
conductances serves as the input to this method. The output is the time series of the induced rotational part of
the ionospheric electric field. The calculation method works in the
time-domain and can be used with non-uniform, time-dependent conductances. In
addition, no particular symmetry requirements are imposed on the input
potential electric field. The presented method makes use of special non-local
vector basis functions called the Cartesian Elementary Current Systems (CECS).
This vector basis offers a convenient way of representing curl-free and
divergence-free parts of 2-dimensional vector fields and makes it possible to
solve the induction problem using simple linear algebra. The new calculation
method is validated by comparing it with previously published results for
Alfvén wave reflection from a uniformly conducting ionosphere.
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