Abel's inversion applied to experimental spectroscopic data with off axis peaks

Estimation of confidence intervals for radial emissivity and optimization of data treatment techniques in Abel inversion

“…(1) and (2)) are seldom used directly. Instead, a variety of mathematical algorithms to fit the raw data and to perform the inversion are employed [9][10][11][12][13][14][15][16]. In the present study, the Nestor-Olsen method was chosen due to its easy computation and widespread use [5,26,28].…”

“…A common way to study the effect of noise in an Abel-inverted profile and to estimate the region of the profile that is relatively ''noise-free'' is by using an assumed ((r) profile that looks similar to the experimental one in two steps [3,5,9]. First, a lateral emission profile, I(x), is computed from the assumed ((r) by applying Eq.…”

The Metal-Halide Lamp Under Varying Gravity Conditions Measured by Emission and Laser Absorption Spectroscopy

“…Note that the density plots shown are line-of-sight (column) densities. In future these will be converted into radial profiles by means of Abel inversion (Bakker 2000;Buie et al 1996;Pretzler et al 1992;Sudharsanan 1986;Kak and Slaney 1988).…”

Modeling and characterization of an indium(I)iodide-argon low pressure lamp

“…The radiometric characterization of the lamp was carried out by means of spatially resolved radiance measurements with a fully automated x-y-table, array spectrometer and telescopic optical probe. The measured radiance values were converted to line emission coefficients by means of inverse Abel transform [5]. The radiant flux of the plasma was calculated by the integration of the line emission coefficients over the whole discharge volume for the determination of plasma efficiency.…”