Different eigenproblem models for field line resonances in cold plasma: Effect on magnetospheric density estimates

Planetary and Space Science

Volumn 55, Issue 6, 2007, Pages 820-828

  Kabin, K ^a   Rankin, R ^a   Waters, C L ^b   Marchand, R ^a   Donovan, E F ^c   Samson, J C ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF NEWCASTLE   (Australia)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

Field line resonances; Ground based magnetometers; Remote sensing of the magnetosphere

Indexed keywords

EARTH (PLANET); EIGENVALUES AND EIGENFUNCTIONS; GEOMAGNETISM; MAGNETIC FIELD EFFECTS; MAGNETOMETERS; MAGNETOPLASMA; MATHEMATICAL MODELS; PLASMA DENSITY; PROBLEM SOLVING;

FIELD LINE RESONANCE; GEOMAGNETIC FIELD LINES; GROUND-BASED MAGNETOMETERS; MAGNETOSPHERIC DENSITY;

MAGNETOSPHERE;

EID: 34047166025     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pss.2006.03.014     Document Type: Article

References (32)

1. Cheng, C.Z., 2003. MHD field line resonance sand global modes in three-dimensional magnetic fields. J. Geophys. Res. 108, 10.1029/2002JA009470.
2. Clilverd, M.A., Menk, F.W., Milinevski, G., Sandel, B.R., Goldstein, J., Reinisch, B.W., Wilford, C.R., Rose, M.C., Thomson, N.R., Yearby, K.H., Bailey, G.J., Mann, I.R., Carpenter, D.L., 2003. In situ and ground-based intercalibration measurements of plasma density at L = 2.5. J. Geophys. Res. 108, 10.1029/2003JA009866.
3. Cummings W.D., O'Sullivan R.J., and Coleman P.J. Standing Alfvén waves in the magnetosphere. J. Geophys. Res. 74 (1969) 778-793
4. Dent, Z.C., Mann, I.R., Menk, F,W., Goldstein, J., Wilford, C.R., Clilverd, M.A., Ozeke, L.G., 2003. A coordinated ground-based and image satellite study of quiet-time plasmaspheric density profiles. Geophys. Res. Lett. 30, 10.1029/2003GL016946.
5. Denton R.E., and Gallagher D.L. Determining the mass density along magnetic field lines from toroidal eigenfrequencies. J. Geophys. Res. 105 (2000) 27717-27725
6. Denton R.E., Lessard M.R., Anderson R., Miftakhova E.G., and Hughes J.W. Determining the mass density along magnetic field lines from toroidal eigenfrequencies: polynomial expansion applied to CRRES data. J. Geophys. Res. 106 (2001) 29915-29924
7. Denton, R.E., Goldstein, J., Menietti, J.D., Young, S.L., 2002. Magnetospheric electron density model inferred from Polar plasma wave data. J. Geophys. Res. 107, 10.1029/2001JA009136.
8. Denton, R.E., Lessard, M.R., Kistler, L.M., 2003. Radial localization of magnetospheric guided poloidal Pc 4-5 waves. J. Geophys. Res. 108, 10.1029/2002JA009679.
9. D'haeseleer W.D., Hitchon W.N.G., Callen J.D., and Shohet J.L. Flux Coordinates and Magnetic Field Structure (1991), Springer, Berlin, Germany
10. Faierman M. Two-parameter Eigenvalue Problems in Ordinary Differential Equations (1991), Wiley, NewYork
11. Klimushkin D.Y., Mager P.N., and Glassmeier K.-H. Toroidal and poloidal Alfvén waves with arbitrary azimuthal wave numbers in a finite pressure plasma in the Earth's magnetosphere. Ann. Geophys. 22 (2004) 267-287
12. Kreyszig, E., 1988. Advanced Engineering Mathematics, Wiley, NewYork.
13. Lu, J.Y., Rankin, R., Marchand, R., Tikhonchuk, V.T., Wanliss, J., 2003. Finite element modeling of nonlinear dispersive field line resonances: trapped shear Alfvén waves inside field-aligned density structures. J. Geophys. Res. 108, 10.1029/2003JA010035.
14. Lui A.T.Y., and Cheng C.Z. Resonance frequency of stretched magnetic field lines based on a self-consistent equilibrium magnetosphere model. J. Geophys. Res. 106 (2001) 25793-25902
15. Menk F.W., Orr D., Clilverd M.A., Smith A.J., Waters C.L., Milling D.K., and Fraser B.J. Monitoring spatial and temporal variations in the dayside plasmasphere using geomagnetic field line resonances. J. Geophys. Res. 104 (1999) 19955-19969
16. Orr, D., Matthew, J.A.D., 1971. The variation of geomagnetic micropulsation periods with latitude and the plasmapause, Planet. Space Sci. 897-905.
17. Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., 1992. Numerical Recipes in Fortran. Cambridge University Press, Cambridge, UK.
18. Proehl, J.A., Lotko, W., Kouznetsov, I., Geimer, S.D., 2002. Ultralow-frequency magnetohydrodynamics in boundary-constrained geomagnetic flux coordinates, J. Geophys. Res. 107, 10.1029/2001JA000135.
19. Rankin R., Fenrich F., and Tikhonchuk V.T. Shear Alfvén waves on stretched magnetic field lines near midnight in Earth's magnetosphere. Geophys. Res. Lett. 27 (2000) 3265-3268
20. Rankin R., Lu J.Y., Marchand R., and Donovan E.F. Spatiotemporal characteristics of ultra-low frequency dispersive scale shear Alfvén waves in the Earth's magnetosphere. Phys. Plasmas 11 (2004) 1268-1276
21. Rankin, R., Kabin, K., Lu, J.Y., Mann, I.R., Marchand, R., Rae, I.J., Tikhonchuk, V.T., Donovan, E.F., 2005. Magnetospheric field-line resonances: ground-based observations and modeling. J. Geophys. Res. 110, 10.1029/2004JA010919.
22. Rankin R., Kabin K., and Marchand R. Alfvénic field line resonances in arbitrary magnetic field topology. Adv. Space. Res. 38 (2006) 1720-1729
23. Salat A., and Tataronis J.A. Conditions for existence of orthogonal coordinate systems oriented by magnetic field lines. J. Geophys. Res. 105 (2000) 13055-13062
24. Singer H.J., Southwood D.J., Walker R.J., and Kivelson M.G. Alfvén wave resonances in a realistic magnetospheric magnetic field geometry. J. Geophys. Res. 86 (1981) 4589-4596
25. Stern D.P. Euler potentials. Am. J. Phys. 35 (1970) 494-501
26. Streltsov A.V. Dispersive width of the Alfvenic field line resonance. J. Geophys. Res. 104 (1999) 22657-22666
27. Tsyganenko N.A. Modeling the Earth's magnetospheric field confined within a realistic magnetopause. J. Geophys. Res. 100 (1995) 5599-5612
28. Tsyganenko, N.A., 2002. A model of the near magnetosphere with a dawn-dusk asymmetry 2. Parameterization and fitting to observations. J. Geophys. Res. 107, 10.1029/2001JA000220.
29. Tsyganenko N.A., and Stern D.P. Modeling the global magnetic field of the large-scale Birkeland current systems. J. Geophys. Res. 101 (1996) 27187-27198
30. Waters C.L., Menk F.W., and Fraser B.J. Low latitude geomagnetic field line resonance: experiment and modeling. J. Geophys. Res. 99 (1994) 17547-17558
31. Waters C.L., Samson J.C., and Donovan E.F. Variation of plasmatrough density derived from magnetospheric field line resonances. J. Geophys. Res. 101 (1996) 24737-24745
32. Waters, C.L., Rankin, R., Kabin, K., Donovan, E., Samson, J.C., 2006. ULF wave polarization and field model effects on the estimation of proton number densities in the magnetosphere using field line resonances. Planet. Space Sci., accepted for publication.