We have used empirical models for electric potentials and the magnetic fields both in space and on the ground to obtain maps of the height-integrated Pedersen and Hall ionospheric conductivities at high latitudes. This calculation required use of both “curl-free” and “divergence-free” components of the ionospheric currents, with the former obtained from magnetic fields that are used in a model of the field-aligned currents. The second component is from the equivalent current, usually associated with Hall currents, derived from the ground-level magnetic field. Conductances were calculated for varying combinations of the interplanetary magnetic field (IMF) magnitude and orientation angle, as well as the dipole tilt angle. The results show that reversing the sign of the Y component of the IMF produces substantially different conductivity patterns. The Hall conductivities are largest on the dawn side in the upward, Region 2 field-aligned currents. Low electric field strengths in the Harang discontinuity lead to inconclusive results near midnight. Calculations of the Joule heating, obtained from the electric field and both components of the ionospheric current, are compared with the Poynting flux in space. The maps show some differences, while their integrated totals match to within 1 %. Some of the Poynting flux that enters the polar cap is dissipated as Joule heating within the auroral ovals, where the conductivity is greater.

中文翻译：

---

测试电动力学方法以推导高度积分的电离层电导

我们已经使用了空间和地面上的电势和磁场的经验模型来获得高纬度高度整合的Pedersen和Hall电离层电导率的图。该计算需要使用电离层电流的“无卷曲”和“无散度”两个分量，而前者是从磁场中获得的，该磁场用于场对准电流模型中。第二部分来自等效电流，该等效电流通常与霍尔电流相关，该等效电流是从地磁场产生的。计算了行星际磁场（IMF）大小和方向角以及偶极子倾斜角的不同组合的电导。结果表明，反转Y的符号IMF的分量产生实质上不同的导电模式。霍尔电导率在向上的区域2场对准电流中在黎明侧最大。哈朗间断处的低电场强度导致午夜附近的结果不确定。从电场和电离层电流的两个分量获得的焦耳热的计算结果与空间的珀因廷通量进行了比较。这些地图显示出一些差异，而它们的综合总数相差不到1％。进入极帽的一些珀因廷通量随着极光椭圆形中的焦耳热而消散，其中电导率更大。