@unpublished{BoeckmannNiebsch1998, author = {B{\"o}ckmann, Christine and Niebsch, Jenny}, title = {Examination of the nonlinear LIDAR-operator : the influence of inhomogeneous absorbing spheres on the operator}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14725}, year = {1998}, abstract = {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.}, language = {en} } @article{BoeckmannOsterloh2014, author = {B{\"o}ckmann, Christine and Osterloh, Lukas}, title = {Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data}, series = {Inverse problems in science and engineering}, volume = {22}, journal = {Inverse problems in science and engineering}, number = {1}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {1741-5977}, doi = {10.1080/17415977.2013.830615}, pages = {150 -- 165}, year = {2014}, abstract = {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.}, language = {en} } @misc{BoeckmannOsterloh2014, author = {B{\"o}ckmann, Christine and Osterloh, Lukas}, title = {Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data}, series = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe}, number = {907}, issn = {1866-8372}, doi = {10.25932/publishup-44120}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-441200}, pages = {150 -- 165}, year = {2014}, abstract = {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.}, language = {en} }