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Proceedings Paper

Direct calculation of the relaxation matrix for line-mixing problem
Author(s): M. R. Cherkasov
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Paper Abstract

The absorption coefficient o(w) for the nonpolarized radiation in the isotropic medium is cz(w)-'—Am p(2K+1) { (llK)* P'f+ P// (TLK) R;jf } (1) i:f j'f' where is the reduced matrix element of the resolvent operator I f';if (ilK) _ 1 RjIfI;jf (UK) (UK) w-L —A,, S j f .if L11 and A11 are the matricies of reduced elements of the Liouville and relaxation operators, which are defined in the line space of the absorbing molecule. The diagonal elements of the relaxation operator define the half widths and shifts of the individual lines, the nondiagonal elements are the cross-relaxation parameters responsible for the line mixing. Within the framework of impact approximation the relaxation operator is I' = 1bJd()Tr {[i U(oo_co)] b} (3) where is the thermal bath density and U(oo,-co) is the scattering operator in the combined Liouville space of the absorbing molecule and the bath particle. The averaging is performed over the bath particle states and the classical path parameters. In general the halfwidth and the shift are to be calculated simultaneously, however, usually the former is taken from the experiment or from the isolated line approximation calclations. To calculate the crossrelaxation parameters different models ' or the infinite order sudden approximation method which has only limited application in the molecular spectroscopy, are used.

Paper Details

Date Published: 1 July 1992
PDF: 6 pages
Proc. SPIE 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy, (1 July 1992); doi: 10.1117/12.131161
Show Author Affiliations
M. R. Cherkasov, Institute of Atmospheric Optics (Russia)

Published in SPIE Proceedings Vol. 1811:
Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy
Leonid N. Sinitsa, Editor(s)

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