From Classical to Plasma Tomography
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Date
2018
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Institute of Nuclear Physics Polish Academy of Sciences
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Creative commons license
Abstract
This monograph is an attempt at a comprehensive treatment of tomographic
reconstruction methods with the special emphasis on the application in fusion research.
Therefore, the main volume of the book is devoted to tomographic inversion methods that
are either commonly used in the fusion research or they have just been developed and
published by me or other researchers. However, detailed explanation and discussion of
plasma tomography principles would not have been possible without giving an
introduction to classical tomographic reconstruction methods. By these classical methods,
I mean here analytical and algebraic methods commonly applied not only in medicine but
also in many different fields such as geophysics, bioscience or material science.
Inversion methods applied in plasma tomography significantly differ from classical ones.
This is mostly due to the nature of the data collected in tomographic experiments carried
out with fusion devices. The algebraic reconstruction method, shortly described in
Chapter 5, can be considered as a link between classical tomographic methods described in the preceding part of the book and reconstruction methods that are specific to fusion research. In fact, most of the reconstruction methods used in fusion science belong indeed to the class of algebraic methods. However, due to the fact that measured data sets are sparse and the reconstruction problem is strongly ill-posed, specific methods that include a regularisation are required. This is shown and discussed in Chapter 6.
My main motivation in publishing this work was a desire to share, with the widest possible
readership, a comprehensive monograph on plasma tomography. I would expect the
target audience to be primarily academics, with a special emphasis on graduate and PhD
students from plasma physics and fusion research community. I hope that this book can
serve as a self-contained resource for PhD students wishing to extend their knowledge on
plasma tomography. I tried to present as many practical applications as possible, focusing
mostly on the recent advances made with tokamak devices.
I assume the Reader is familiar with the basic concepts of plasma physics and
thermonuclear fusion, as well as with basic mathematical apparatus such as linear
algebra. The introductory chapters and proofs of presented theorems should help the
Reader to immerse into the ideas presented through the book. For the sake of clarity,
some detailed information and additional proofs are postponed to the appendices.
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Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe