Title
Study Of Nonlinear Wave Processes In Plasmas Using The Formalism Of A Special Lorentz Transformation For A Space-Independent Frame
Keywords
Lorentz transformation; Nonlinear waves in plasmas; relativistic plasma
Abstract
A study is made of nonlinear waves in plasmas using the formalism of a special Lorentz transformation for a space-independent frame, S’. This special transformation is used to transform the space-time dependent equations in a cold, relativistic, magnetized plasma to the S’ frame. Then the transformed equations are employed to derive the expressions for the Lagrangian and the Hamiltonian in the S’ frame. The Lagrangian and the Hamiltonian for a strong circularly polarized laser beam have also been obtained in the S' frame. The exact form of the nonlinear dispersion relation is derived for circularly polarized waves. Then the results for the frequency and the wave number shifts ot these waves in a cold, magnetized relativistic plasma are obtained with some discussion on the nature of the frequency shifts. Finally, numerical results are presented for the radiation of Nd-glass laser in dense plasmas. © 1985, Hindawi Publishing Corporation. All rights reserved.
Publication Date
1-1-1985
Publication Title
International Journal of Mathematics and Mathematical Sciences
Volume
8
Issue
3
Number of Pages
599-614
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1155/S0161171285000655
Copyright Status
Unknown
Socpus ID
84956442729 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84956442729
STARS Citation
Paul, S. N.; Chakraborty, B.; and Debnath, L., "Study Of Nonlinear Wave Processes In Plasmas Using The Formalism Of A Special Lorentz Transformation For A Space-Independent Frame" (1985). Scopus Export 1980s. 108.
https://stars.library.ucf.edu/scopus1980/108