Complex space Newton-Raphson solution of the dispersion relation of low frequency Alfven waves in fusion plasmas

Abstract

Newton-Raphson method in complex space is used to numerically solve the transcendental dispersion relation of low frequency shear Alfven waves in fusion plasmas. The equation exhibits several physically relevant basins of attraction. The method is shown to be efficient and fast in solving this equation, with very small portion of non-converging points.