Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length
The electromagnetic field due to ionospheric currents has to be known when evaluating space weather effects at the earth's surface. Forecasting methods of these effects, which include geomagnetically induced currents in technological systems, are being developed. Such applications are time-...
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doaj-2a11ddc7c0104ddea478e189f0b5bab72020-11-24T21:33:14ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05761998-11-01161434144410.1007/s00585-998-1434-6Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite lengthR. Pirjola0R. Pirjola1A. Viljanen2Tel.: +358 9 19294652; fax: +358 9 19294603; e-mail: Risto.Pirjola@fmi.fiFinnish Meteorological Institute, Geophysical Research Division P. O. Box 503, FIN-00101 Helsinki, FinlandFinnish Meteorological Institute, Geophysical Research Division P. O. Box 503, FIN-00101 Helsinki, FinlandThe electromagnetic field due to ionospheric currents has to be known when evaluating space weather effects at the earth's surface. Forecasting methods of these effects, which include geomagnetically induced currents in technological systems, are being developed. Such applications are time-critical, so the calculation techniques of the electromagnetic field have to be fast but still accurate. The contribution of secondary sources induced within the earth leads to complicated integral formulas for the field at the earth's surface with a time-consuming computation. An approximate method of calculation based on replacing the earth contribution by an image source having mathematically a complex location results in closed-form expressions and in a much faster computation. In this paper we extend the complex image method (CIM) to the case of a more realistic electrojet system consisting of a horizontal line current filament with vertical currents at its ends above a layered earth. To be able to utilize previous CIM results, we prove that the current system can be replaced by a purely horizontal current distribution which is equivalent regarding the total (=primary + induced) magnetic field and the total horizontal electric field at the earth's surface. The latter result is new. Numerical calculations demonstrate that CIM is very accurate and several magnitudes faster than the exact conventional approach.<br><br><b>Key words.</b> Electromagnetic theory · Geomagnetic induction · Auroral ionosphere</p>https://www.ann-geophys.net/16/1434/1998/angeo-16-1434-1998.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
R. Pirjola R. Pirjola A. Viljanen |
spellingShingle |
R. Pirjola R. Pirjola A. Viljanen Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length Annales Geophysicae |
author_facet |
R. Pirjola R. Pirjola A. Viljanen |
author_sort |
R. Pirjola |
title |
Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length |
title_short |
Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length |
title_full |
Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length |
title_fullStr |
Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length |
title_full_unstemmed |
Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length |
title_sort |
complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length |
publisher |
Copernicus Publications |
series |
Annales Geophysicae |
issn |
0992-7689 1432-0576 |
publishDate |
1998-11-01 |
description |
The electromagnetic field due to ionospheric
currents has to be known when evaluating space weather effects at the earth's
surface. Forecasting methods of these effects, which include geomagnetically
induced currents in technological systems, are being developed. Such
applications are time-critical, so the calculation techniques of the
electromagnetic field have to be fast but still accurate. The contribution of
secondary sources induced within the earth leads to complicated integral
formulas for the field at the earth's surface with a time-consuming computation.
An approximate method of calculation based on replacing the earth contribution
by an image source having mathematically a complex location results in
closed-form expressions and in a much faster computation. In this paper we
extend the complex image method (CIM) to the case of a more realistic electrojet
system consisting of a horizontal line current filament with vertical currents
at its ends above a layered earth. To be able to utilize previous CIM results,
we prove that the current system can be replaced by a purely horizontal current
distribution which is equivalent regarding the total (=primary + induced)
magnetic field and the total horizontal electric field at the earth's surface.
The latter result is new. Numerical calculations demonstrate that CIM is very
accurate and several magnitudes faster than the exact conventional approach.<br><br><b>Key words.</b> Electromagnetic theory · Geomagnetic
induction · Auroral ionosphere</p> |
url |
https://www.ann-geophys.net/16/1434/1998/angeo-16-1434-1998.pdf |
work_keys_str_mv |
AT rpirjola compleximagemethodforcalculatingelectricandmagneticfieldsproducedbyanauroralelectrojetoffinitelength AT rpirjola compleximagemethodforcalculatingelectricandmagneticfieldsproducedbyanauroralelectrojetoffinitelength AT aviljanen compleximagemethodforcalculatingelectricandmagneticfieldsproducedbyanauroralelectrojetoffinitelength |
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