By Walter Greiner

This reference and workbook offers not just an entire survey of classical electrodynamics, but additionally a tremendous variety of labored examples and difficulties to teach the reader tips on how to follow summary ideas to sensible difficulties. The booklet will end up worthwhile to graduate scholars in electrodynamics wanting a pragmatic and complete remedy of the topic.

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B. White, Phys. Rev. 23, 2664 (1981). 1 INTRODUCTION The magnetic configuration chosen for confinement must be in equilibrium with the plasma it contains. The plasma, leaning against the magnetic field, distorts it and the combined system is in equilibrium when the condition Vp = j x B holds everywhere. Since this equation is linear in the pressure but quadratic in the field strength, it is the ratio 8 = 2p/B , the plasma beta, As seen in Sees. 1 . 3 - 1 . 4 , which characterizes the equilibrium.

Phys. 20, 1183 (1979). A. Leiberman, Regular and Stochastic (Springer-Verlag: New York, Heidelberg and Berlin, 1982). , J. D. Meiss, and I. C. Percival, Phys. Rev. Lett. 52, 697 (1984). , M. N. Rosenbluth, and R. B. White, Phys. Rev. 23, 2664 (1981). 1 INTRODUCTION The magnetic configuration chosen for confinement must be in equilibrium with the plasma it contains. The plasma, leaning against the magnetic field, distorts it and the combined system is in equilibrium when the condition Vp = j x B holds everywhere.

Tokamak 39 Ordering the pressure profile, p(4>p ) and the toroidal field profile, g(^p). Other pairs of functions can be used, for example the pressure profile p(*l>p ) and the local helicity profile q(i|> ). p The Grad-Shafranov fully determine equation the solution. requires elliptic boundary A common procedure conditions to is to give ib on some bounding surface. This is equivalent to prescribing the magnetic field normal to as this surface definition of \b, well as determining if it is not taken the arbitrary to be zero at constant in the magnetic the axis.

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