Modeling RF waves in spatially dispersive inhomogeneus plasma using an iterative wavelet spectral method

The wave equation for a spatially dispersive inhomogeneous magnetized plasma is given by an integro-differential equation. The effects caused by spatial dispersion in the directions perpendicular and parallel to the magnetic field are quite different. In this study, we show how to solve the wave equ...

Full description

Saved in:
Bibliographic Details
Main Authors: Vallejos, Pablo, Johnson, Thomas, Hellsten, Torbjörn
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Energy conservation
Iterative methods
Kinetic energy
Magnetohydrodynamics
Spectral methods
Wave dispersion
Wave equations
Wave propagation
Wavelet analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The wave equation for a spatially dispersive inhomogeneous magnetized plasma is given by an integro-differential equation. The effects caused by spatial dispersion in the directions perpendicular and parallel to the magnetic field are quite different. In this study, we show how to solve the wave equation using a newly developed iterative wavelet spectral method for two cases. In the first case, the method is applied to a propagating kinetic Alfvén wave in the perpendicular direction and solved to all orders in FLR. To conserve the kinetic energy flux, first order corrections in equilibrium gradients are used in the dielectric response tensor. In the second case, we verify the method for a fast wave minority heating scenario and study the up- and downshift in the parallel wave number.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201715703059