A New Numerical Method for Asymmetrical Abel Inversion

A new asymmetrical Abel inversion is presented for application in asymmetrical data which is obtained from plasma diagnostics (for instance, interferometry or spectroscopy) on the toroidal plasma system, and in which asymmetry exists normal to the direction of observation. In this new numerical method a weight function, which was obtained by separating the integrated quantity into odd and even parts, was used for determination of the asymmetrical local value. To demonstrate the usefulness of this new method, we set up a hypothetical data set, which resulted in a valid local value.