A SPLINE APPROXIMATION OF THE ABEL TRANSFORMATION FOR USE IN OPTICALLY-THICK, CYLINDRICALLY-SYMMETRIC PLASMAS

摘要

A spline approximation to obtain the radial emission coefficient for optically-thick, cylindrically-symmetric plasmas is proposed and an explicit formula to evaluate the values of the coefficient at nodes is deduced. Using the formula, the work to find approximate values of the coefficient is simplified very much. An example is evaluated using present spline approximation. It is shown that the spline approximation is precise and much easier to apply than both the Young's iteration and the block-bi-quadratic interpolation.