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Flux Coordinates and Magnetic Field Structure

A Guide to a Fundamental Tool of Plasma Theory

  • William Denis D’haeseleer
  • William Nicholas Guy Hitchon
  • James D. Callen
  • J. Leon Shohet

Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Introduction and Overview

    1. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 1-3
  3. Fundamental Concepts

    1. Front Matter
      Pages 5-6
    2. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 7-39
    3. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 40-54
    4. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 55-96
  4. Flux Coordinates

    1. Front Matter
      Pages 97-99
    2. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 100-115
    3. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 116-155
    4. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 156-159
    5. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 160-164
    6. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 165-175
  5. Selected Topics

    1. Front Matter
      Pages 177-178
    2. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 179-185
    3. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 186-200
    4. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 201-203
    5. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 204-210
    6. William Denis D’haeseleer, William Nicholas Guy Hitchon, James D. Callen, J. Leon Shohet
      Pages 211-214
  6. Back Matter
    Pages 215-241

About this book

Introduction

Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. After a brief treatment of vector algebra in curvilinear coordinate systems the book introduces concepts such as flux surfaces, rotational transforms, and magnetic differential equations. The various specific types of coordinate system are dealt with in detail. Researchers and advanced students in plasma physics, electromagnetics, and mathematical physics will greatly benefit from this useful guide and reference book.

Keywords

Hamiltonian Potential curvilinear coordinates differential equation electromagnetic equilibrium fusion geometry magnetic field mathematical physics physics structure system tensor vector potential

Authors and affiliations

  • William Denis D’haeseleer
    • 1
    • 2
  • William Nicholas Guy Hitchon
    • 3
  • James D. Callen
    • 4
  • J. Leon Shohet
    • 3
  1. 1.School of EngineeringKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.The NET TeamMax-Planck-Institut für PlasmaphysikGarching bei MünchenFed. Rep. of Germany
  3. 3.Department of Electrical and Computer EngineeringUniversity of Wisconsin-MadisonMadisonUSA
  4. 4.Departments of Nuclear Engineering & Engineering Physics and PhysicsUniversity of Wisconsin-MadisonMadisonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-75595-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-75597-2
  • Online ISBN 978-3-642-75595-8
  • Series Print ISSN 1434-8322
  • Buy this book on publisher's site