Microphysical particle parameters from extinction and backscatter lidar data by inversion with regularization: theory

Applied Optics
Detlef MüllerA Ansmann


A method is proposed that permits one to retrieve physical parameters of tropospheric particle size distributions, e.g., effective radius, volume, surface-area, and number concentrations, as well as the mean complex refractive index on a routine basis from backscatter and extinction coefficients at multiple wavelengths. The optical data in terms of vertical profiles are derived from multiple-wavelength lidar measurements at 355, 400, 532, 710, 800, and 1064 nm for backscatter data and 355 and 532 nm for extinction data. The algorithm is based on the concept of inversion with regularization. Regularization is performed by generalized cross-validation. This method does not require knowledge of the shape of the particle size distribution and can handle measurement errors of the order of 20%. It is shown that at least two extinction data are necessary to retrieve the particle parameters to an acceptable accuracy. Simulations with monomodal and bimodal logarithmic-normal size distributions show that it is possible to derive effective radius, volume, and surface-area concentrations to an accuracy of +/-50%, the real part of the complex refractive index to +/-0.05, and the imaginary part to +/-50%. Number concentrations may have error...Continue Reading


Jan 24, 1992·Science·R J CharlsonD J Hofmann
Dec 1, 1979·Optics Letters·V V VeretennikovV Y Fadeev
Jun 1, 1978·Applied Optics·E G Neumann
Oct 1, 1982·Applied Optics·C D CappsG M Hess
Aug 20, 1995·Applied Optics·U AmatoC Serio
Dec 20, 1995·Applied Optics·O V DubovikS L Oshchepkov
Apr 20, 1996·Applied Optics·K S Shifrin, I G Zolotov
Jun 20, 1996·Applied Optics·B T Evans, G R Fournier


Oct 25, 2002·Applied Optics·Ina MattisIlya B Serikov
Feb 3, 2009·Applied Optics·Anna K JagodnickaSzymon P Malinowski
Jan 16, 2019·Applied Optics·Yuehui SongDengxin Hua
Mar 18, 2005·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Christine BöckmannRemo Nessler
Mar 25, 2008·Applied Optics·B R LienertS K Sharma

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