An iterative method to include spatial dispersion for waves in nonuniform plasmas using wavelet decomposition

A novel method for solving wave equations with spatial dispersion is presented, suitable for applications to ion cyclotron resonance heating. The method splits the wave operator into a dispersive and a non-dispersive part. The latter can be inverted with e.g. finite element methods. The spatial disp...

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Bibliographic Details
Published in:Journal of physics. Conference series 2016-11, Vol.775 (1), p.12016
Main Authors: Vallejos, Pablo, Johnson, Thomas, Hellsten, Torbjörn
Format: Article
Language:English
Subjects:
Cyclotron resonance
Dispersion (waves)
Finite element method
Fusion reactions
Ion cyclotron resonance heating
Ions
Iterative methods
Larmor radius
Larmor radius effects
Magnetohydrodynamics
Nonuniform plasma
Nonuniform plasmas
Physics
Plasmas (physics)
Second orders
Solving wave equations
Spatial dispersion
Wave dispersion
Wave equations
Wave operators
Wavelet decomposition
Wavelet representation
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Summary:A novel method for solving wave equations with spatial dispersion is presented, suitable for applications to ion cyclotron resonance heating. The method splits the wave operator into a dispersive and a non-dispersive part. The latter can be inverted with e.g. finite element methods. The spatial dispersion is evaluated using a wavelet representation of the dielectric kernel and added by means of iteration. The method has been successfully tested on a low frequency kinetic Alfven wave with second order Larmor radius effects in a nonuniform plasma slab.
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/775/1/012016