Asymmetrical Abel inversion and its application to determined to spatial distribution of theta pinch plasma density

A new asymmetrical Abel inversion is presented for application in asymmetrical data which is obtained from plasma diagnostics on the toroidal or other 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. The numerical method was used to obtain the spatial distribution of the plasma density produced by linear theta pinch, and the diagnostic method used was side-on holographic interferometry. (author)