Chizhonkov E.V. Mathematical modelling of oscillations and wake waves in plasma

Boca Raton: CRC Press, 2019. — 310 p.This book is devoted to research in the actual field of mathematical modeling in modern problems of plasma physics associated with vibrations and wake waves excited by a short high-power laser pulse. The author explores the hydrodynamic model of the wake wave in detail and from different points of view, within the framework of its regular propagation, a development suitable for accelerating electrons, and the final tipping effect resulting in unregulated energy transfer to plasma particles. Key selling features: Presents research directly related to the propagation of super-power short laser pulses (subject of the 2018 Nobel Prize in Physics). Presents mathematical modeling of plasma physics associated with vibrations and wake waves excited by a short high-power laser pulse. Includes studies of large-amplitude plasma oscillations. Most of the presented results are of original nature and have not appeared in the domestic and foreign scientific literature Written at a level accessible for researchers, academia, and engineers.Free plasma oscillations. Introductory Information.
Planar one-dimensional non-relativistic oscillations (P1NE-equations).
Planar one-dimensional relativistic oscillations (P1RE-equations).
Cylindrical one-dimensional oscillations (equations C1RE and C1NE).
Influence of ion dynamics (P1EI-equations).
Planar two-dimensional relativistic oscillations (P2RE-equations).
Plasma wake waves.
Preliminary information.
Numerical Algorithms for the Basic Task.
Additional Studies.
Literature.