General remarks
This is an interactive program, which performs spectral line deconvolution, e.g. the program subtracts the instrumental function from a measured spectral line profile. The input data and result can be visually displayed and saved for further use. The Program is designed for, but not limited to scientific work. Download the program (zipped with Winzip) running under Windows 98, 2000 and XP. The program is free. Contact me in case you need help.
Background information
The Spectral Line Deconvolution program incorporates a numerical procedure to subtract the instrumental function from a measured spectral line profile. The measuring device (for example, Fabry-Perot Interferometer) distorts the spectral line profile. A spectral line with frequency profile z(w), passing through a measuring device with instrumental function A(w), is recorded experimentally as u(w). By definition, u(w) is a convolution of the instrumental function and the spectral line profile, where the instrumental function is normalized according to . The objective is to restore the real spectral line profile z(w) from experimentally measured spectral line profile u(w) and known instrumental function A(w). Restoring the spectral line profile is strongly affected by numerical instabilities. The problem is solved by using the Tikhonov’s regularization method. The approach is particularly useful for "noisy" experimental data. The algorithm is described in details in: G. M. Petrov, "A simple algorithm for spectral line deconvolution", JQSRT 72, 281-287 (2002). You may download a short version. Other problems may also be treated (A. Blagoev, S. Kovatchev, G. Petrov and Ts. Popov, "Superelastic collisions between slow electrons and excited Hg atoms", J. Phys. B: At. Mol. Opt. Phys., 25, 1599-1606 (1992)).
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