Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma

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.

E.V. Chizhonkov, Lomonosov Moscow State University, Moscow, RU