This and the following chapter illustrate the method proposed in the preceding chapter. The analysis of radiation scattering by a hexagonal water ice cylinder is chosen for its simplicity, as well as for its value to research into a problem of interest in atmospheric phenomena. As well as having a certain simplicity, the boundary-value problem is useful in the study of storms, particularly in the understanding of radiation transfer through ice clouds.
The ability to predict radiation scattering by nonspherical particles is essential in order to provide a complete description of radiation transmission by the atmosphere so that experimental data can be analyzed with certainty. Currently, no general and rigorous method of analyzing the scattering of radiation by solids of given complex shapes is known. For the sake of simplicity in analyzing experimental data, and for the lack of any alternative method of analysis, equivalent Mie scatterers are invoked, i.e., scattering from spherical particles for which an exact analysis is available.
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