NIFS-173

FULL TEXT (PDF, 668 KB)


Author(s):

N. Nakajima, J. Todoroki and M. Okamoto

Title:

On Relation between Hamada and Boozer Magnetic Coordinate System

Date of publication:

Sep. 1992

Key words:

Magnetic coordinate system, Hamada coordinate system, Boozer coordinate system, Straight magnetic field line coordinate system, coordinate transformation, non-axisymmetric system, Fourier spectrum

Abstract:

The relation between the Hamada and the Boozer magnetic coordinate system is clarified by deriving them from a general magnetic field coordinate system. The coordinate transformation from the Hamada to the Boozer coordinate system is performed using a transformation function, which is easily calculated with the knowledge of the magnetic field strength only. In non-axisymmetric systems, the Fourier spectrum of the magnetic field strength |vec{B}| in the Hamada coordinate system is broader than that in the Boozer coordinate system and the leading modes of |vec{B}| in the Hamada coordinate system significantly deviate from a simple model field in comparison with the Boozer coordinate system. The Boozer coordinate system is suitable for numerical calculations, especially, for neoclassical and orbit calculations in non-axisymmetric systems.

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