プラズマ物理学特論I / プラズマ波動物理学

平成30年度 S1学期
理学部1号館233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: 4/11 - 5/23(水) 313:00-14:45 および 414:55-16:40
試験: 5/30(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