Mj. Buie et al., ABELS INVERSION APPLIED TO EXPERIMENTAL SPECTROSCOPIC DATA WITH OFF-AXIS PEAKS, Journal of quantitative spectroscopy & radiative transfer, 55(2), 1996, pp. 231-243
Many mathematical techniques for solving Abel's integral equation have
been proposed over the years in the literature. Often these methods h
andle test functions with known solutions and Gaussian type profiles q
uite accurately. For experimental data and non-Gaussian shapes, howeve
r, these methods are inadequate. An experimental study of the uniformi
ty of the plasma emission on the Gaseous Electronics Conference Refere
nce Cell has as its goal to provide immediate feedback regarding the p
lasma uniformity. Therefore a rapid, accurate, and sturdy computationa
l method of data analysis is required. The first round of experiments
indicate off axis or donut shaped plasmas within the reference cell. T
he analysis and conclusions are presented herein.