Comparison of two-dimensional and three-dimensional mapping of ionospheric electric field

Computer Science – Numerical Analysis

Scientific paper

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E Region, Electric Fields, Ionospheric Conductivity, Mapping, Cartesian Coordinates, Numerical Analysis, Three Dimensional Models, Two Dimensional Models

Scientific paper

Numerical techniques are used to compare two-dimensional and three-dimensional analyses of the spreading of ionospheric electric fields. Specific cases are considered in which a source electric field is applied at 150-km altitude and within a limited horizontal distance L. It is found that horizontal spreading of fields at ionospheric heights can be accurately calculated by using a two-dimensional model with height-integrated conductivities, provided that L is 10 km or greater. For L greater than 10 km a full three-dimensional model must be used. Three-dimensional calculations must also be used to relate electric fields measured at balloon altitudes (approximately 30 km) to overhead ionospheric fields if L is greater than 100 km. Calculated ionospheric fields depend strongly on horizontal conductivity gradients, fields spreading more easily in the direction of decreasing conductivity.

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