プラズマ物理学特論I / プラズマ波動物理学

平成28年度 夏学期
理学部1号館207号室・新領域基盤棟複雑理工学専攻講義室

高瀬 雄一 takase@k.u-tokyo.ac.jp
理学部1号館 443(内24208)
柏基盤棟4H1(内63925)

講義: 4/6 - 5/25(水) 3限13:00-14:45 および 4限14:55-16:40
試験: 6/1(ノート持込み可)
準教科書: T.H. Stix, Waves in Plasmas, American Institute of Physics (ISBN 0-88318-859-7)
参考書: J. Freidberg, Plasma Physics and Fusion Energy, Cambridge Univ. Press (ISBN 978-0-521-73317-5)
プラズマ基礎: R.J. Goldston, P.J. Rutherford, Introduction to Plasma Physics, IOP Publishing (ISBN 0-7503-0183-X)
F.F. Chen, Introduction to Plasma Physics and Controlled Fusion Vol. 1: Plasma Physics, Springer (ISBN 0-306-41332-9)
(訳本)内田岱二郎訳「プラズマ物理入門」丸善(ISBN 4-621-04255-6)

講義概要: プラズマ中の波動

0. Magnetically Confined Plasma
Particle Motion in Prescribed Fields
Self-Consistent Fluid Model
MHD Equilibrium
Tokamak
1. Description of Waves
Cold Plasma Model
Susceptibility and Dielectric Tensor
Dispersion Relation
Polarization and Phase Relations
Cutoff and Resonance
CMA Diagram
2. Waves in a Cold Uniform Plasma
Parallel and Perpendicular Propagation
Alfven Waves
Ion Cyclotron Waves
High Frequency Electromagnetic Waves
3. Causality, ES and EM Approximations
Nonlocal Behavior
Causality
Electrostatic and Electromagnetic Approximations
Finite Temperature Correction
4. Energy Flow and Accessibility
Wave Energy and Energy Transport
Group Velocity and Ray Tracing
Accessibility
5. Oscillations in Bounded Plasmas
Alfven and Ion Cyclotron Waves
Forced Oscillations
Resonance Cones
6. Landau Damping
Physical Picture
Simple Kinetic Model
Validity
Plasma Dispersion Function
7. Susceptibilities for a Hot Magnetized Plasma
Physical Picture
Solution to Vlasov Equation
Transformation to Eulerian Coordinates
8. Waves in Uniform Magnetized Media
Susceptibilities
Propagation along the Magnetic Field
Cyclotron Harmonic Damping
Transit Time Damping
Power Absorption
9. Reflection, Absorption, and Mode Conversion
Solution of Wave Equation Near a Turning Point
Asymptotic Solutions
Budden Tunneling Factors
Mode Conversion for Alfven Resonance
Hybrid Resonances
10. Quasilinear Diffusion
Weak Turbulence Assumptions
Quasilinear Analysis
Wave-Associated Drag
Collisional Relaxation and Current Drive
Stochasticity
11. Quasilinear Diffusion in a Magnetized Plasma
Cyclotron Heating
Bounce-Average Integrals
Quasilinear Diffusion in a Magnetic Field
Electromagnetic Quasilinear Theory
Cyclotron Frequency Heating
Resonant Particle Diffusion
Steady State Solution for f(v)
12. Bounce-Averaged Quasilinear Diffusion
Bounce Averaging
Bounce-Average Integrals
13. Nonlinear Waves
Ion Acoustic Soliton and Shock Wave
Ponderomotive Force
Caviton and Envelope Soliton
14. Parametric Instability
Frequency Matching
Instability Threshold
Physical Mechanism
Oscillating Two-Stream Instability
Example of Parametric Decay Instability
Parametric Dispersion Relation
Resonant Decay
Decay into Quasi-Modes

物理学専攻
複雑理工学専攻


高瀬・江尻研究室