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Different eigenproblem models for field line resonances in cold plasma: Effect on magnetospheric density estimates
Institution:1. Department of Physics, University of Alberta, Edmonton, Canada T6G 2J1;2. School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, 2308 NSW, Australia;3. Department of Physics and Astronomy, University of Calgary, Calgary, Canada T2N 1N4;1. University of California, Los Angeles, USA;2. The Johns Hopkins University, Laurel, USA;3. Dartmouth College, Hanover, USA;4. University of Minnesota, Minneapolis, USA;1. National Food Institute (DTU Food), Technical University of Denmark, Kgs. Lyngby, Denmark;2. Royal Greenland Seafood Ltd., Svenstrup, Denmark;1. National Space Science Center, Chinese Academy of Sciences, No.1 Nanertiao, Zhongguancun, Haidian district, Beijing, 100190, China;2. Beijing Key Laboratory of Space Environment Exploration, No.1 Nanertiao, Zhongguancun, Haidian district, Beijing, 100190, China;3. Key Laboratory of Science and Technology on Space Environment Situational Awareness, Chinese Academy of Sciences, No.1 Nanertiao, Zhongguancun, Haidian district, Beijing, 100190, China;4. University of Chinese Academy of Sciences, No.19(A) Yuquan Road, Shijingshan district, Beijing, 100049, China;5. Swedish Institute of Space Physics, Box 812, SE-98128, Kiruna, Sweden;6. State Key Laboratory of Space Weather, Chinese Academy of Sciences, No.1 Nanertiao, Zhongguancun, Haidian district, Beijing, 100190, China;7. Beihang University, No.37 Xueyuan Road, Haidian District, Beijing, 100083, China;8. National Astronomical Observatories of China, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, 100012, China
Abstract:Magnetospheric plasma density can be remotely sensed through ground-based magnetometer data using a suitable model for field line resonances (FLRs) formed by standing shear Alfvén wave on closed geomagnetic field lines. The simplest type of FLR model, which is also the most relevant for magnetometer data inversion purposes, is based on solving a certain eigenvalue problem. Over the years a number of such models have been developed Singer, H.J., Southwood, D.J., Walker, R.J., Kivelson, M.G., 1981. Alfvén wave resonances in a realistic magnetospheric magnetic field geometry. J. Geophys. Res. 86, 4589–4596; Rankin, R., Fenrich, F., Tikhonchuk, V.T., 2000. Shear Alfvén waves on stretched magnetic field lines near midnight in Earth's magnetosphere. Geophys. Res. Lett. 27, 3265–3268; Rankin, R., Kabin, K., Marchand, R., 2006. Alfvénic field line resonances in arbitrary magnetic field topology. Adv. Space Res. 38, 1720–1729]. In this paper we summarize the properties of these models and investigate the effect of using these different models on the magnetospheric density inferred from the ground-based magnetometer measurements. We also formulate a simple criterion which can be used to determine which one of these models should be used for a particular field line.
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