Scattering of plane waves on finite cylinders with non-circular cross-sections - Abstract

In this paper an approximation for plane wave scattering on finite cylinder s with non-circular cross-sections at oblique incidence is derived on the b asis of Huygens' principle. First the problem of the corresponding infinite ly extended cylinder is solved by application of the separation of variable s method (SVM). After determination of the expansion coefficients the field components are calculated on the mantle of the smallest circular cylinder circumscribing the non-circular one. Inserting these components into Huygen s' principle, and neglecting the contributions from the top and bottom face s when performing the surface integral result in an analytical expression f or the approximation we are looking for. It is compared to the exact soluti on of the finite circular cylinder, and applied to hexagonal ice columns as basic constituents of cirrus clouds.