These surfaces are defined with Fourier harmonics

Defining Surfaces in Fourier Harmonics

These surfaces are defined with Fourier harmonics. On NCSX, reference surfaces defined in data files are based on the NESCOIL convention [1]. In this convention, m is the poloidal mode number and n is the toroidal mode number. Circular cylindrical coordinates (r, z, f) are related to the surface coordinates (u,v) by the following relations:

n_p is the number of field periods. Note that this prescription automatically preserves stellarator symmetry.

Data files of the surface defining Fourier harmonics typically list the parameters m, n, r_mn, and z_mn on one line for each (m, n).

[1] P. Merkel, “Solution of Stellarator Boundary Value Problems with External Currents”, NUCLEAR FUSION, Vol.27, No.5 (1987) 867-871

Please forward comments and questions to reiersen@pppl.gov

(last updated on 01/21/2004 04:57 PM )