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A
theoretical model of an inertial shear Alfvén wave
propagating in the LAPD as launched from a disk exciter
on the order of the collisionless skin depth in radius. |
Alfvén
waves are believed to be of fundamental importance in auroral
physics. If the source of an Alfvén wave is a low frequency
current channel with a radius on the order of the collisionless
skin depth,
,
the shear waves are radiated in cones; the cone angle given
by
,
where
is the Alfvén wavenumber. Wave energy is thus transported
across the background magnetic field. The parallel electric
field of the wave is self consistant with the electron current.
The LAPD offers a unique, highly reproducable plasma
(He, n = 4x10^12 cm^-3, B=1-2.5 KG, plasma length 10m, diameter
50 cm which is 3x10^4 Debye lengths and 50-100 ion cyclotron
radii )
Early
observations of Alfvén waves in the LAPD include verification
of the shear Alfvén wave dispersion relation, the observation
of wave reflections, and wave production from extended sources.
Current
work involving the study of Alfvén wave cones: Experimental
Observations of Alfvén Wave Cones, W. Gekelman,D.
Leneman, J. Maggs, S. Vincena, Phys. Plasmas,1, 3775-3783,(1994),
and the companion theoretical paper, Structure of Alfvén
Waves at the Skin-Depth Scale, G. Morales, R. Loritsch,
J. Maggs, Phys. Plasmas,1,3765-3774 (1994)
Waves
from multiple sources can interfere constructively or destructively
at large distances from the exciters. We use this to study the
interference patterns from two sources driven in and out of
phase. Press to view the dynamics of the interaction
of two Alfvén wave cones.
A
thorough review of the properties of Alfvén wave cones
in the context of space plasmas illustrating their three dimensional
propagation and interference effects has been published and
may be downloaded. W. Gekelman,
S. Vincena, D. Leneman, J. Maggs, Laboratory Experiments
on shear Alfvén waves and their relationship to space
plasmas, Journal of Geophysical Research, 10T2, 7225-7236
(1997)
The
three dimensional current structure of Alfvén wave cones
is presented in: W. Gekelman,
S. Vincena, D. Leneman, Experimental Observations of Shear Alfvén
waves generated by narrow current channels, Plasma Phys. and
Control. Fusion, 39, A101-A112 (1977)
A
review paper on Alfvén wave experiments over the years:
W. Gekelman, Review of
laboratory experiments on Alfvén waves and their relationship
to space observations, Jour. Geophys. Res., 104,14,14,417-14,435
(1999)
Note
the above documents are in pdf form, best viewed with Adobe
Acrobat 3.0 or higher