Scattering of Plane Waves On Finite Cylinders With Non-Circular Cross-Sections - Abstract

Abstract

In this paper an approximation for plane wave scattering on finite cylinders with non-circular cross-sections at oblique incidence is derived on the basis of Huygens' principle. First the problem of the corresponding infinitely extended cylinder is solved by application of the separation of variables 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 Huygens' principle, and neglecting the contributions from the top and bottom faces when performing the surface integral result in an analytical expression for the approximation we are looking for. It is compared to the exact solution of the finite circular cylinder, and applied to hexagonal ice columns as basic constituents of cirrus clouds.