Computer Method for Abel Inversion for Toroidal Coordinates and Its Application to Plasma Diagnostics

A new technique, Abel inversion for toroidal coordinates, is presented for calculating spatial distributions of an axisymmetric toroidal plasma density from observation beam incidents in the toroidal y direction. In this numerical method, inversion matrix elements are calculated analytically, and their usefulness is examined by using a hypothetical data set of beam intensity with asymmetry for the normal direction to the direction of observation, which results in a valid local plasma density. The asymmetrical character associates with fundamental fixed length dfor the toroidal coordinates.