TY  - BOOK
A1  - Böckmann, Christine
A1  - Niebsch, Jenny
T1  - Examination of the nonlinear LIDAR-operator : the influence of inhomogeneous absorbing spheres on operator
T3  - Preprint NLD
Y1  - 1998
SN  - 1432-2935
VL  - 47
PB  - Univ. Potsdam
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Böckmann, Christine
A1  - Niebsch, Jenny
T1  - Examination of the nonlinear LIDAR-operator : the influence of inhomogeneous absorbing spheres on the operator
N2  - The determination of the atmospheric aerosol size distribution is an inverse illposed problem. The shape and the material composition of the air-carried particles are two substantial model parameters. Present evaluation algorithms only used an approximation with spherical homogeneous particles. In this paper we propose a new numerically efficient recursive algorithm for inhomogeneous multilayered coated and absorbing particles. Numerical results of real existing particles show that the influence of the two parameters on the model is very important and therefore cannot be ignored.
T3  - NLD Preprints - 47 
KW  - multiwavelength lidar
KW  - aerosol size distribution
KW  - inverse ill-posed problem
KW  - multilayered coated and absorbing aerosol
KW  - new recursive algorithm
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14725
ER  - 
TY  - INPR
A1  - Mekler, A. A.
A1  - Böckmann, Christine
A1  - Sokolovskaia, N.
T1  - Particle distribution from spectral Mie-scattering: kernel representation and singular-value spectrum
N2  - This paper deals with the Mie scattering kernels for multi-spectral data. The kernels may be represented in form of power series. Furthermore, the singular-value spectrum and the degree of ill-posedness in dependence on the refractive index of the particles are numerically approximated. A special hybrid regularization technique allows us to determine via inversion the particle distributions of different types.
T3  - NLD Preprints - 58 
Y1  - 2000
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14948
ER  - 
TY  - INPR
A1  - Böckmann, Christine
A1  - Biele, Jens
A1  - Neuber, Roland
A1  - Niebsch, Jenny
T1  - Retrieval of multimodal aerosol size distribution by inversion of multiwavelength data
N2  - The ill-posed problem of aerosol size distribution determination from a small number of backscatter and extinction measurements was solved successfully with a mollifier method which is advantageous since the ill-posed part is performed on exactly given quantities, the points r where n(r) is evaluated may be freely selected. A new twodimensional model for the troposphere is proposed.
T3  - NLD Preprints - 38 
KW  - Multiwavelength LIDAR
KW  - aerosol size distribution
KW  - ill-posed problem
KW  - inversion
KW  - mollifier method
KW  - coated and absorbing aerosols
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14360
ER  - 
TY  - INPR
A1  - Böckmann, Christine
A1  - Sarközi, Janos
T1  - The ill-posed inversion of multiwavelength lidar data by a hybrid method of variable projection
N2  - 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.
T3  - NLD Preprints - 53 
KW  - Ill-posed problem
KW  - inversion
KW  - variable projection method
KW  - multiwavelength Lidar
KW  - aerosol distribution
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14847
ER  - 
TY  - BOOK
A1  - Böckmann, Christine
A1  - Sarközi, Janos
T1  - The ill-posed inversion of multiwavelength lidar data by a hybrid method of variable projection
T3  - Preprint NLD
Y1  - 1999
SN  - 1432-2935
VL  - 53
PB  - Univ.
CY  - Potsdam
ER  -