O2 Absorption Measurements and Modeling. Connection with the Troposphere Temperature

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Ground-based measurements of the A(0,0) and b(1,0) bands of the O2 atmospheric system are carried out using a spectrometric system designed for direct solar spectrum measurements in the region 3000 - 8000 Å, with a spectral resolution of about 0.3 Å.
Theoretical modeling of the O2 absorption is performed presuming plane-parallel atmosphere, divided into equal homogeneous parallel layers, and applying line-by-line calculations. The A and b bands intensities are computed at different altitudes and zenith angles. The comparison of the modeled spectra to the detailed measured ones shows that the absorption calculation method is reliable.
The ground-based spectrometric measurements afford opportunities to obtain information for the atmospheric parameters, including the temperature and its change with the height. Up to now methods for temperature profile retrieval using ground-based measurements have not been developed. The creation of such a method would be a contribution to the atmospheric studies because of the importance of the temperature as well as the cheaper implementation of the needed measurements. The temperature profile can be retrieved resolving the non-linear system equations for the equivalent widths of the rotational O2 lines. Such system equations for the equivalent widths are obtained in both cases - of weak and strong absorption, they are linearized and the systems are resolved towards the temperature in the separate layers, using an iteration method. The solution stability is studied with respect to the deviation of the input initial temperature values from the real ones, as well as with respect to the error in determining the equivalent widths. The system equations are found to be illconditioned, and the solution is highly sensitive to the input data. In order to provide the solution stability and a better convergence, a regularization algorithm should be applied. The application limits of the weak and strong absorption equations are studied.

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