プラズマ物理学特論Ⅰ

プラズマ波動物理学 Plasma Wave Physics

The objective of this course is to establish a rigorous theoretical foundation in the physics of waves in magnetized plasmas. Students will learn the mathematical frameworks required to characterize wave propagation, absorption, and mode conversion. Kinetic theory will be introduced to describe macroscopic plasma behavior from microscopic particle dynamics. Wave-particle interactions and kinetic transport theory will be introduced. By the end of the course, students will be able to analytically predict complex wave behavior and be ready to use numerical tools to solve realistic problems in high temperature plasmas.

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授業計画

1. Foundational wave dynamics (a) Dielectric formalism: susceptibility and dielectric tensors, wave equation (b) Dispersion relation: overview of plasma waves, cutoff and resonance, wave polarization (c) Electrostatic approximation 2. Hot plasma theory: kinetic theory of waves (a) Landau damping: plasma dispersion function (b) Hot plasma susceptibility: cyclotron damping, transit-time damping, Bernstein waves 3. Wave propagation and mode dynamics (a) Energy density, energy flux, and group velocity (b) Reflection, absorption, and mode conversion 4. Wave-particle interactions (a) Quasilinear theory: quasilinear diffusion operator (b) Particle transport: Fokker-Planck collision operator, orbit-averaged Fokker-Planck equation 5. Numerical simulations of plasma waves (a) Ray-tracing simulation (b) Full-wave simulation (c) Self-consistent simulation of waves and particles

授業の方法

講義 Lecture

成績評価方法

レポート Reports

履修上の注意

物理学の基礎（古典力学、電磁気学、統計力学）を十分に習得していることが必要である。プラズマ物理学の基礎知識を有していることが望ましい。 A solid background in basic physics (classical mechanics, electromagnetism, and statistical mechanics) is essential. Familiarity with introductory plasma physics is recommended.