TY  - GEN
A1  - Böckmann, Christine
A1  - Osterloh, Lukas
T1  - Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data
T2  - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - The Runge-Kutta type regularization method was recently proposed as a potent tool for the iterative solution of nonlinear ill-posed problems. In this paper we analyze the applicability of this regularization method for solving inverse problems arising in atmospheric remote sensing, particularly for the retrieval of spheroidal particle distribution. Our numerical simulations reveal that the Runge-Kutta type regularization method is able to retrieve two-dimensional particle distributions using optical backscatter and extinction coefficient profiles, as well as depolarization information.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 907 
KW  - inverse ill-posed problem
KW  - integral equation
KW  - laser remote sensing
KW  - inverse scattering
KW  - aerosol size distribution
KW  - 65R32
KW  - 47A52
KW  - 65R20
KW  - 78A46
KW  - iterative regularization
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-441200
SN  - 1866-8372
IS  - 907
SP  - 150
EP  - 165
ER  - 
TY  - JOUR
A1  - Böckmann, Christine
A1  - Osterloh, Lukas
T1  - Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data
JF  - Inverse problems in science and engineering
N2  - The Runge-Kutta type regularization method was recently proposed as a potent tool for the iterative solution of nonlinear ill-posed problems. In this paper we analyze the applicability of this regularization method for solving inverse problems arising in atmospheric remote sensing, particularly for the retrieval of spheroidal particle distribution. Our numerical simulations reveal that the Runge-Kutta type regularization method is able to retrieve two-dimensional particle distributions using optical backscatter and extinction coefficient profiles, as well as depolarization information.
KW  - inverse ill-posed problem
KW  - iterative regularization
KW  - integral equation
KW  - laser remote sensing
KW  - inverse scattering
KW  - aerosol size distribution
KW  - 65R32
KW  - 47A52
KW  - 65R20
KW  - 78A46
Y1  - 2014
U6  - https://doi.org/10.1080/17415977.2013.830615
SN  - 1741-5977
SN  - 1741-5985
VL  - 22
IS  - 1
SP  - 150
EP  - 165
PB  - Routledge, Taylor & Francis Group
CY  - Abingdon
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  - 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  -