A Special Solution-Selection Principle in Using a Tikhonov Regularizing Algorithm for Processing Multiwave Lidar Data

An algorithm is considered for recovering the aerosol size distribution and complex refractive index from optical data measured with a certain error δ. The size distribution and the optical data are related by a linear integral Fredholm equation of the first kind with an inaccurately specified kerne...

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Bibliographic Details
Published in:	Measurement techniques Vol. 48; no. 10; pp. 955 - 961
Main Authors:	Kolgotin, A. V., Alekhnovich, V. I., Korenskii, M. Yu, Kamsha, K. N.
Format:	Journal Article
Language:	English
Published:	New York Springer Nature B.V 01-10-2005
Subjects:	Aerosols Algorithms Error analysis Fredholm equations Kernels Lidar Regularization Rheology Size distribution
Online Access:	Get full text
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Summary:	An algorithm is considered for recovering the aerosol size distribution and complex refractive index from optical data measured with a certain error δ. The size distribution and the optical data are related by a linear integral Fredholm equation of the first kind with an inaccurately specified kernel, which is solved by Tikhonov regularization. A new principle is proposed for selecting solutions, which is based on not one solution but a certain set of them. Averaging on that set results in a stable conclusion on the recovery of the aerosol parameters.[PUBLICATION ABSTRACT]
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0543-1972 1573-8906
DOI:	10.1007/s11018-006-0003-1