The realization of Abel's inversion in the case of discharge with undetermined radius

A new method for the determination of the local plasma emissivity on the basis of measuring of the radiation intensity is presented. The method is related to the axial symmetric discharges with undefined radius (free burning arcs, etc.). In this method, the experimental profile of the radiative intensity is approximated by the linear combination of Gaussian functions, while the requested plasma emissivity is obtained in a similar oblique. The essence of the presented method lies in the procedure of determination of the coefficients in this linear combinations, as well as the parameters by which the exponents of Gaussian functions are expressed. The method was tested on a large number of examples which are related to almost all practically important cases of the profiles of local plasma emissivity. It was shown that the method works with high precision, which makes it a certain tool for an operative laboratorial application.