An expression is derived for the magnetic scalar potential due to helical currents in toroidal surfaces. Nonlinearity of helical windings and noncircularity of the cross-section are taken into account as the work was carried out during an attempt to quickly evaluate the spectra of sinusoidal modes produced by instability currents in Tokamaks. Taking the inverse aspect ratio as the order of magnitude reference parameter, a successive approximations method is developed that provides a solution with any desired accuracy.
トロイダル面内の螺旋電流による磁気スカラーポテンシャルの式を導出する。螺旋巻線の非線形性と断面の非円形性を考慮し、この研究はトカマクにおける不安定性によって生じる正弦波モードのスペクトルを迅速に評価する試みとして実施された。逆アスペクト比を大きさの基準パラメータとして、任意の精度の解を得られる逐次近似法を開発した。