The ill-posed inversion of multiwavelength lidar data by a hybrid method of variable projection

  • The ill-posed problem of aerosol distribution determination from a small number of backscatter and extinction lidar measurements was solved successfully via a hybrid method by a variable dimension of projection with B-Splines. Numerical simulation results with noisy data at different measurement situations show that it is possible to derive a reconstruction of the aerosol distribution only with 4 measurements.

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Author:Christine Böckmann, Janos Sarközi
Series (Serial Number):NLD Preprints (paper 053)
Document Type:Preprint
Year of Completion:1999
Publishing Institution:Universität Potsdam
Release Date:2007/07/31
Tag:Ill-posed problem; aerosol distribution; inversion; multiwavelength Lidar; variable projection method
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik