Remote Determination of the Profiles of the Atmospheric Structure Constants and Wind Velocity along a Line-of-Sight Path by a Statistical Inversion Procedure
WASHINGTON UNIV SEATTLE DEPT OF ELECTRICAL ENGINEERING
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A method is developed for remotely determining the average transverse wind velocity and the atmospheric structure constant strength of turbulence at N points along a line-of-sight path. The technique avoids the basic instability problem that was encountered in previous work, limiting the calculations to one or two points. Linear integral equations relate the data, the amplitude correlation function and the amplitude and phase structure functions, with the unknown structure constant and wind velocity. The standard inversion method leads to large variations in the unknown for small data errors thus, the problem is ill posed. To counteract this, a statistical inversion procedure is developed that is dependent upon a priori knowledge of the statistics of the unknowns. The error in the final solution can also be predicted by computer simulation. For example, with an input error of one percent, the RMS error in the unknown will be on the order of ten percent. This is an increase in accuracy of ten orders of magnitude over the standard inverse moment method.