NE (NEEP) 724: Waves and Instabilities in Plasmas

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NE (NEEP) 724 - Waves and Instabilities in Plasmas

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Catalog Description: 724 Waves and Instabilities in Plasmas. (Crosslisted with NEEP, ECE 724.) II; 3 cr. Waves in a cold plasma, wave-plasma interactions, waves in a hot plasma, Landau damping, cyclotron damping, magneto-hydrodynamic equilibria and instabilities, microinstabilities, introduction to nonlinear processes, and experimental applications. P: NEEP/ECE/Physics 525 & Physics 721 or ECE 740 or cons inst.
Course Prerequisite(s)

NE (NEEP) 525
Prerequisite knowledge and/or skills

Introduction to Plasmas
Graduate level electromagnetic theory
Textbook(s) and/or other required material

G. Schmidt, Physics of High Temperature Plasmas, 2nd Ed., Academic Press, 1979
D. G. Swanson, Plasma Waves, Academic Press, 1989.
Course objectives

The purpose of this course is to discuss waves and their propagation in plasmas using various models, instabilities in plasmas that have free energy, and to introduce some elements of nonlinear plasma theory.
Topics covered

Waves in a Uniform Cold Plasma

Microscopic, Macroscopic, Spatial Average Descriptions of a Plasma
Linearized Dielectric Tensor and Dispersion Relations (CMA diagrams)
Waves in Plasmas and Dispersion Relations; Group, Phase Velocity
Waves in Magnetized Plasma, MHD modes

Waves and Instabilities in a Hot Plasma (linearized Vlasov equations):

Longitudinal Oscillations
Landau Damping
Two-Stream Instability, Penrose Criteria
Transverse Electromagnetic Waves (cyclotron damping)
Microinstabilities -- Anisotropy, Two Stream, Loss-Cone, Drift Instabilities, Beam Plasma, Trapped-Particle Instabilities
Wave Energy Density
Absolute and Convective Instabilities

Wave Heating and Current Drive In Plasmas

Ion Cyclotron Range of Frequencies
Lower Hybrid Frequency Range
Electron Cyclotron Frequency Range

Introduction to Non-Linear Wave Topics

Quasi-Linear Theory
Introduction to Plasma Turbulence
Person(s) who prepared this description

James D. Callen
Gilbert A. Emmert
Noah Hershkowitz
John E. Scharer
J. Leon Shohet

Copyright 2007 The Board of Regents of the University of Wisconsin System
Date last modified: 04-Aug-2007
Date created: 29-Oct-1999
Content by: neep@engr.wisc.edu
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