On the theory of field line resonances in plasma configurations

Fedorov, E. N.; Mazur, N. G.; Pilipenko, V. A.; Yumoto, K.

doi:10.1063/1.870977

Cited by 18 publications

(16 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[Chen and Hasegawa, 1974;Southwood, 1974]. The mathematical description of the spatial structure of the field perturbation B in the magnetosphere can be expressed in the form of the Frobenius expansion in the vicinity of a resonant field line [Krylov and Fedorov, 1976;Krylov et al, 1981;Kivelson and Southwood, 1986;Fedorov et al, 1995]. The spatial Fourier spectrum of (1) is By(k) -(2•r)•/2BoSi exp(-k5i) k >_ 0,…”

mentioning

confidence: 99%

Distortion of the ULF wave spatial structure upon transmission through the ionosphere

Пилипенко¹,

Vellante²,

Fedorov³

2000

J. Geophys. Res.

Self Cite

View full text Add to dashboard Cite

Abstract.Distortion of the ground-based spatial structure of ULF waves is described in detail using analytical and numerical models of the resonant Alfven wave transmission through the "thin" ionosphere. The numerical calculations have been done for geophysical conditions corresponding to the midlatitude Borok Observatory and the low-latitude L'Aquila Observatory. As compared with a resonant field-aligned oscillation above the ionosphere, the ground spatial structure has the following additional features which have not been described by existing models: the amplitude peak is shifted northward, the width of it is changed, and amplitude and phase are modified. The effect is most evident when the resonant frequency and ionospheric conductivity are high. From a physical point of view the effect is caused by two reasons: (1) excitation of a diffusive-like surface-type mode in the ionosphere and (2) finite Earth's conductivity. The possible influence of the predicted distortion of the ULF field on various ground-based methods for the determination of the magnetospheric resonant frequency is discussed.

show abstract

mentioning

confidence: 99%

Distortion of the ULF wave spatial structure upon transmission through the ionosphere

Пилипенко¹,

Vellante²,

Fedorov³

2000

J. Geophys. Res.

Self Cite

View full text Add to dashboard Cite

show abstract

“…As for the ordinary field-line resonance, the influence of the parallel inhomogeneity was studied by, for example, Southwood and Kivelson (1986), Chen and Cowley (1989), Mazur (1989, 1993), and Fedorov et al (1995). The general result is that the wave field global structure qualitatively is the same as in the 1-D inhomogeneous case, at least for small azimuthal wave numbers (for high m numbers, see Leonovich and Mazur, 1993).…”

Section: Discussionmentioning

confidence: 99%

Axisymmetric Alfvén resonances in a multi-component plasma at finite ion gyrofrequency

Klimushkin

Mager

Glaßmeier³

2006

Ann. Geophys.

View full text Add to dashboard Cite

Abstract. This paper deals with the spatial structure of zero azimuthal wave number ULF oscillations in a 1-D inhomogeneous multi-component plasma when a finite ion gyrofrequency is taken into account. Such oscillations may occur in the terrestrial magnetosphere as Pc1-3 waves or in the magnetosphere of the planet Mercury. The wave field was found to have a sharp peak on some magnetic surfaces, an analogy of the Alfvén (field line) resonance in one-fluid MHD theory. The resonance can only take place for waves with frequencies in the intervals ω<ω ch or 0 <ω<ω cp , where ω ch and ω cp are heavy and light ions gyrofrequencies, and 0 is a kind of hybrid frequency. Contrary to ordinary Alfvén resonance, the wave resonance under consideration takes place even at the zero azimuthal wave number. The radial component of the wave electric field has a pole-type singularity, while the azimuthal component is finite but has a branching point singularity on the resonance surface. The later singularity can disappear at some frequencies. In the region adjacent to the resonant surface the mode is standing across the magnetic shells.

show abstract

“…Errors in their analysis are pointed out in a comatent by Thompson and Wright [1994]. Recently, a paper by Fedorov et al [1995] appeared in favor of field line resonance.) In resistive MHD there certainly exist no singular solution.…”

Section: Hasegawa and Chen 1974]mentioning

confidence: 99%

Dissipative MHD solutions for resonant Alfvén waves in two‐dimensional poloidal magnetoplasmas

Tirry¹,

Goossens²

1995

J. Geophys. Res.

View full text Add to dashboard Cite

The resonant excitation of Alfv6n waves is considered in a resistive warm plasma embedded in a purely poloidal field. The magnetostatic equilibrium is invariant in the y direction. The driven problem is studied in the asymptotic state, so we can assume that all wave fields vary as exp[i(Ay-cot)]. Resistive solutions are derived in the vicinity of the resonance with the aid of an asymptotic expansion procedure. We find that the zeroth-order functions of the flux coordinate have to satisfy differential equations analogous to those obtained by Goossens et al. [1995] for the resistive one-dimensional systems. Applied to the two-dimensional box model for the Earth's magnetosphere, we recover the results found by Thompson and Wright [1993] in ideal MHD, but in addition, we obtain the behavior in the dissipative layer in the asymptotic state.

show abstract

On the theory of field line resonances in plasma configurations

Cited by 18 publications

References 18 publications

Distortion of the ULF wave spatial structure upon transmission through the ionosphere

Distortion of the ULF wave spatial structure upon transmission through the ionosphere

Axisymmetric Alfvén resonances in a multi-component plasma at finite ion gyrofrequency

Dissipative MHD solutions for resonant Alfvén waves in two‐dimensional poloidal magnetoplasmas

Contact Info

Product

Resources

About