Analytical modelling of the electric field distribution in the high-latitude ionosphere |
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| Institution: | 1. IKI, 6 Moskovska Str., 1000 Sofia, Republic of Bulgaria;2. IZMIRAN, 142092 Troitsk, Russia;1. Key Laboratory of Soybean Biology of MOE, Key Laboratory of Soybean Biology and Breeding/Genetics of MOA, College of Agriculture, Northeast Agricultural University, Harbin 150030, Heilongjiang, China;2. MOA Key Lab of Soybean Biology (Beijing), National Key Facility of Crop Gene Resource and Genetic Improvement, Institute of Crop Sciences, Chinese Academy of Agricultural Sciences, Beijing 100081, China;3. Soybean Research Institute, Jilin Academy of Agricultural Science, Changchun 130033, Jilin, China;4. School of Agriculture and Biology, Shanghai Jiao Tong University, Shanghai 200240, China;5. Jiamusi Branch Academy of Heilongjiang Academy of Agricultural Sciences, Jiamusi 154007, Heilongjiang, China;6. Collaboration Centre to Russia of Institute of Grass Industry, Heilongjiang Academy of Agricultural Sciences, Harbin 150000, Heilongjiang, China;1. Degree Course in Optics and Optometry, Faculty of Mathematics, Physics and Natural Sciences, Roma TRE University, Rome, Italy;2. Ospedale “Grassi” Roma, Italy;3. Department of Physics (Optics and Optometry), University of Florence, Italy |
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| Abstract: | An analytical approach is implemented for self-consistent modelling of the high-latitude convection electric field. Input parameters are determined as distributions of field-aligned currents and height-integrated conductivity. The high-latitude ionosphere is approximated with an arbitrary number (N) of concentric rings. The height-integrated conductivity (∑) is independent of co-latitude within any ring, but depends on the longitude ~ sin λ. The field-aligned currents flow only along the boundaries of each ring and are presented by Fourier series in longitude. The analytical solution for the potential φ as a function of longitude is also presented as a Fourier series. An analytical solution is obtained for the potential dependencies on co-latitude. For the extreme case, when the integrated conductivity does not depend on longitude, this solution coincides with the analytical results, obtained by other authors. Based on this solution, the potential distribution in the high-latitude ionosphere, an example with N = 5 is shown, the values of conductivity and field-aligned currents being similar to those values used by other authors. |
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