Alfvénic field line resonances in arbitrary magnetic field topology

Advances in Space Research

Volumn 38, Issue 8, 2006, Pages 1720-1729

  Rankin, R ^a   Kabin, K ^a   Marchand, R ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Alfv n continuum; Euler potentials; Non orthogonal coordinate systems; Shear Alfv n waves

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MAGNETIC FIELD EFFECTS; MAGNETIC FIELDS; POLARIZATION; SHEAR WAVES; TENSORS; TOPOLOGY;

ALFVÉN CONTINUUM; EULER POTENTIALS; NON ORTHOGONAL COORDINATE SYSTEMS; SHEAR ALFVÉN WAVES;

RESONANCE;

EID: 33846028783     PISSN: 02731177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asr.2005.09.034     Document Type: Article

References (25)

1. Borisenko A.I., and Tarapov I.E. Vector and Tensor Analysis with Applications (1968), Dover Publication, New York
2. Chen L., and Cowley S.C. On field line resonances of hydromagnetic Alfvén waves in dipole magnetic field. Geophys. Res. Lett. 16 (1989) 895-897
3. Cheng C.Z. MHD field line resonances and global modes in three-dimensional magnetic fields. J. Geophys. Res. 108 (2003) 10.1029/2002JA009470
4. Cheng C.Z., and Zaharia S. Field line resonances in quiet and disturbed time three-dimensional magnetospheres. J. Geophys. Res. 108 (2003) 10.1029/2002JA009471
5. Dent Z.C., Mann I.R., Menk F.W., Goldstein J., Wilford C.R., Clilverd M.A., and Ozeke L.G. A coordinated ground-based and image satellite study of quiet-time plasmaspheric density profiles. Geophys. Res. Lett. 30 (2003) 10.1029/2003GL016946
6. D'haeseleer W.D., Hitchon W.N.G., Callen J.D., and Shohet J.L. Flux Coordinates and Magnetic Field Structure (1991), Springer-Verlag, Berlin, Germany
7. Landau L.D., and Lifshitz E.M. The Classical Theory of Fields (1975), Pergamon Press, Oxford, UK (Chapter 10)
8. Leonovich A.S. A theory of field line resonance in a dipole-like axisymmetric magnetosphere. J. Geophys. Res. 106 (2001) 25803-25812
9. 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) 25793-25802
10. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical Recipes in Fortran (1992), Cambridge University Press, Cambridge, UK
11. Proehl J.A., Lotko W., Kouznetsov I., and Geimer S.D. Ultralow-frequency magnetohydrodynamics in boundary-constrained geomagnetic flux coordinates. J. Geophys. Res. 107 (2002) 10.1029/2001JA000135
12. 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
13. Rankin R., Kabin K., Lu J.Y., Mann I.R., Marchand R., Rae I.J., Tikhonchuk V.T., and Donovan E.F. Magnetospheric field-line resonances: Ground-based observations and modeling. J. Geophys. Res. 110 (2005) 10.1029/2004JA010919
14. 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
15. Salat A., and Tataronis J.A. Shear Alfvén mode resonances in nonaxisymmetric toroidal low-pressure plasmas. I. Mode equations in arbitrary geometry. Phys. Plasmas 8 (2001) 1200-1206
16. Samson J. Geomagnetic pulsations and plasma waves in the Earth's magnetosphere. In: Jacobs J.A. (Ed). Geomagnetism vol. 4 (1991), Academic Press, New York 481-592
17. Samson J., Jacobs J.A., and Rostoker G. Latitude-dependent characteristics of long-period geomagnetic micropulsations. J. Geophys. Res. 76 (1971) 3675-3686
18. 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
19. Southwood D.J., and Kivelson M.G. The effect of parallel inhomogeneity on magnetospheric wave coupling. J. Geophys. Res. 91 (1986) 6871-6876
20. Stern D.P. Euler potentials. Am. J. Phys. 35 (1970) 494-501
21. Tsyganenko N.A. Modeling the Earth's magnetospheric field confined within a realistic magnetopause. J. Geophys. Res. 100 (1995) 5599-5612
22. Tsyganenko N.A., and Peredo M. Analytical models of the magnetic field of disk-shaped current sheets. J. Geophys. Res. 99 (1994) 199-205
23. 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
24. Walker A.D.M. Modelling of Pc5 pulsation structure in the magnetosphere. Planet. Space Sci. (1980) 213-223
25. 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