1994
DOI: 10.1088/0963-0252/3/4/018
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A non-singular helicon wave equation for a non-uniform plasma

Abstract: A second-order differential equation for the rcomponent of the magnetic field of a helicon wave in a non-uniform cylindrical plasma has been derived. The equation shows no singularities and can be integrated numerically to obtain the radial dependence of the electric and magnetic field components of the helicon wave.Eigenvaluesand fieid profiles have been calculated for a parabolicdensity profile with the 'matrix shooting' method.

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Cited by 14 publications
(13 citation statements)
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“…Figure 2(a) shows field profiles for an R-antenna compared with theoretical curves computed for the m = +1 and m = −1 circularly polarized modes taking into account the measured plasma density profile [12,13]. The data agree well with the m = +1 mode and not at all with the m = −1 mode.…”
Section: Mode Structurementioning
confidence: 87%
“…Figure 2(a) shows field profiles for an R-antenna compared with theoretical curves computed for the m = +1 and m = −1 circularly polarized modes taking into account the measured plasma density profile [12,13]. The data agree well with the m = +1 mode and not at all with the m = −1 mode.…”
Section: Mode Structurementioning
confidence: 87%
“…The method of rf compensation which we employ includes not only an rf filter but also a floating electrode which is close-coupled to the probe tip. 10 This forces the probe to follow fluctuations in floating potential V f , which may be Ͼ100 V in amplitude. The dc averaged probe characteristic then reproduces the instantaneous characteristic accurately, and reliable measurements of T e and V s can be made.…”
Section: Kinetic Effectsmentioning
confidence: 99%
“…11, the measured rf magnetic field profiles were compared with calculations based on a reduced onedimension ͑1D͒ wave equation. 12,13 The eigenvalues and eigenfunctions of m = +1 and m = −1 circularly polarized modes are numerically solved. The measured fields were in agreement with those of the m = +1 modes, but it remained unclear why the m = −1 modes were absent in the experiment that was designed to excite them.…”
Section: Introductionmentioning
confidence: 99%