2004/11/10 by O. Maj, Omar Maj, Maj, Omar
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.MP #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.math-ph/0411039
Proceedings of the Joint Varenna-Lausanne International Workshop on "Theory of Fusion Plasmas", Varenna 2004
arxiv created 2004/11/10 · arxiv updated 2009/12/01
The aim of this paper is to give an account of some applications of pseudodifferential calculus for solving linear wave equations in the limit of high frequency/short wavelength waves. More specifically, on using as a benchmark the case of electromagnetic waves propagating in a cold isotropic slowly space- and time-varying plasma, it is shown that, in general, linear plasma waves are governed by pseudodifferential operators. Thereafter, the asymptotic techniques for solving the corresponding pseudodifferential wave equations are presented with emphasis on the paraxial propagation of Gaussian wave trains in a cold isotropic plasma. Finally, it is addressed the unicity of the dispersion tensor in terms of which the considered asymptotic solutions are determined.