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The report develops the spectral theory of ballooning transformations relevant to tokamak physics from first principles in a rigorous and yet intuitively clear manner. The power of ballooning representation to throw light on the spectral characteristics of the plasma problems to which it is applicable is emphasized and examples are given to illustrate the general notions. The ballooning representation is shown to be essentially a method to separate variables and reduce two-dimensional partial differential equations with periodic coefficients to infinite sets of soluble ordinary differential equations. Part I is concerned with an elementary approach to the techniques in the context of nearly exactly soluble problems involving the anisotropic diffusion operator in toroidal geometry. Two different perturbation methods are discussed.

Additional information

Authors: THYAGARAJA A, AEA Fusion, Culham Laboratory, Abingdon, Oxon (GB)
Bibliographic Reference: Report: UKAEA FUS 372 EN (1997) 23pp.
Availability: Available from the Librarian, UKAEA, Culham Laboratory, Abingdon, Oxon, OX14 3DB (GB)
Record Number: 199711337 / Last updated on: 1997-10-16
Original language: en
Available languages: en
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