Restoring the co2 concentration on ir–spectra of the solar light transmission through the atmosphere by the modified gauss–newton method

The inverse problem of reconstructing the vertical profiles of CO2 in the atmo- sphere by IR–spectra of the solar light transmission is investigated. To solve this problem, we propose the two-stage method. On the first stage, we use the modified Tikhonov method. On the second stage, to approximate a solution of the regularized equation, we apply the modified Gauss–Newton method. The convergence theorem is formulated and the numerical results for a few of measured spectra are presented.