An Improved Algorithm for the Iterated Minimal Information Solution for Remote Sounding of Temperature.

摘要

It is shown that the iterated minimal information solution of the radiative transfer equation for temperature profiles can be implemented to any prespecified number of iterations as a one-step solution by using a properly modified solution matrix. The mathematical derivation of the modified solution matrix is presented. It is shown that the limiting solution, as the iteration step number approaches infinity, exists; the solution matrix for the limit solution is derived and discussed. Numerical results are presented to show that the solution matrix for the iterated solution converges rapidly to the matrix of the limit solution. Results from temperature retrievals are presented which show (1) the iterated temperature solution converges rapidly to the temperature profile obtained from the limit solution matrix, and (2) the limit solution does not appear to contain any undesirable noise propagation. (Author)