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Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data
- 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.
| Author details: | Christine BöckmannORCiDGND, Lukas Osterloh |
|---|---|
| DOI: | https://doi.org/10.1080/17415977.2013.830615 |
| ISSN: | 1741-5977 |
| ISSN: | 1741-5985 |
| Title of parent work (English): | Inverse problems in science and engineering |
| Publisher: | Routledge, Taylor & Francis Group |
| Place of publishing: | Abingdon |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Tag: | 47A52; 65R20; 65R32; 78A46; aerosol size distribution; integral equation; inverse ill-posed problem; inverse scattering; iterative regularization; laser remote sensing |
| Volume: | 22 |
| Issue: | 1 |
| Number of pages: | 16 |
| First page: | 150 |
| Last Page: | 165 |
| Funding institution: | European Union [289923] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
| External remark: | Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 907 |
