| Summary: | The inverse method was originally developed for geophysical problems. It is used to fit model parameters in connection with theoretical assumptions to measured data, and allows an evaluation about the applicability of the chosen functional relation (model) and experimental setup. Besides the first extensive application of the inverse model theory to airborne meteorological measurements we present several evaluation criteria to estimate the quality of the model results. Data sets of two field experiments, HELINEX and GWEX, both carried out in the boundary layer over Germany were analysed. Each consists of various meteorological parameters collected during several box flight patterns in various heights with two airborne measurement systems: namely, the helicopter-system HELIPOD and the research aircraft Dornier 128-6. In a first effort the inverse problem was solved for the field parameters of temperature assuming spatial and temporal linear dependence along with Gaussian statistics. The results were verified by radio soundings and by the comparison of the two independent airborne measurements. In HELINEX we could determine the temperature field with high accuracy although the synoptic situation was characterized by a weak horizontal temperature gradient, and the flight patterns were comparatively small. In GWEX we found large discrepancies between synchronous measurement-flights of HELIPOD and Do 128-6. On the one hand this demonstrates the limits of linear inverse methods: The vertical structure of the boundary layer was very inhomogeneous and instationary, and was not sufficiently reproduced by the assumed linear relations. On the other hand this gave us an opportunity to test the evaluation criteria of the inversion.
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