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In this contribution, the procedure of deriving a.n approximate solution for scattering on a finite cylinder from that of an infinite one by application of Huygens' principle has been extended to the case of non-circular cross-sections. To the best of our knowledge, this has been performed for the first time. Within our approximation, we are able to calculate total cross-sections and the albedo consistently, which are important for practical applications. The basic problem of the infinite cylinder we treated with the Discretized Mie Formalism (DMF). We proved that this technique can be successfully applied up to size-parameters of at least 100. Results for circular cylinders by our approximation and by the DMF are presented. Keywords: Hexagonal Ice Crystals, Cirrus, Nonspherical Hydrometeors, Discretized Mie Formalism (DMF), Huygens' principle
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