Inverse scattering problems of the nonlinear LIDAR-equation. (English) Zbl 0916.35131
Summary: The ill-posed problem of determining the aerosol size distribution function \(n(r)\) from a small number of backscattering and extinction measurements is solved with a mollifier method. The ill-posed part is performed on exactly given quantities. The points \(r\), where \(n(r)\) is evaluated, may be freely selected.
MSC:
| 35R30 | Inverse problems for PDEs |
| 65R30 | Numerical methods for ill-posed problems for integral equations |
| 78A45 | Diffraction, scattering |
| 86A10 | Meteorology and atmospheric physics |
Keywords:
aerosol size distribution function; backscattering and extinction measurements; mollifier methodReferences:
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