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Skip to Search Results 15Marchand, Richard
 15Rankin, Robert
 9Lu, J. Y.
 5Kabin, Konstantin
 4Tikhonchuk, Vladimir T.
 3Clauer, C. Robert
 5Shear Alfven Waves
 4Field Line Resonances
 4Magnetosphere
 3Acceleration
 3Global Mhd Modeling
 2Alfven Waves

Finite element modeling of nonlinear dispersive field line resonances: Trapped shear Alfvén waves inside field‐aligned density structures
Download20030101
Marchand, Richard, Rankin, Robert, Wanliss, J. , Tikhonchuk, V. T., Lu, J. Y.
Using a new two dimensional nonlinear finite element model, we investigate the interaction of dispersive shear Alfven wave ( SAW) field line resonances ( FLRs) and ion acoustic waves in Earth's magnetosphere. We solve the full set of nonlinear reduced MHD equations self consistently in...

2003
Marchand, Richard, Lu, J. Y., Rankin, Robert, Tikhonchuk, Vladimir T.
Nonlinear dynamics of a dispersive field line resonance (FLR) is investigated in a dipolar magnetic geometry using a new finite element code TOPO. Time dependent dispersion and steepening of the perpendicular Alfvén velocity profile lead to the acceleration of dispersive effects and to...

2002
Zank, G. P., Lu, J. Y., Rankin, Robert, Marchand, Richard
The propagating source method for solving the timedependent Boltzmann equation describing particle propagation in a magnetically turbulent medium is extended to a more realistic case that includes focusing and adiabatic deceleration. The solutions correspond to beam propagation in the solar...

Self‐focusing and ion wave generation in laser‐produced plasmas
1988
Rankin, Robert, Marchand, Richard, Capjack, C. E.
Two‐dimensional hydrodynamic simulations of laser light self‐focusing in a hydrogen plasma are presented. The simulation code includes a model for laser beam propagation which accounts for inverse bremsstrahlung absorption, refraction, diffraction, and ponderomotive forces. A Gaussian hot spot,...

Diffraction, self‐focusing, and the geometrical optics limit in laser produced plasmas
1987
Capjack, C. E., Birnboim, A., Rankin, Robert, Marchand, Richard
The effect of diffraction on the self‐modulation of an intense laser beam in an initially uniform hydrogen plasma is investigated. A formalism is used in which the diffraction term in the paraxial wave equation can be arbitrarily reduced by the use of a weight factor ι. In the limit where ι...