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Numerical results are presented which enable one to minimize the backward scattering from dielectric cylinders by the proper selection of the polygon cross-section, size, orientation and dielectric constant. Both E- and H-polarization are considered. The problem of the complex-point line source directive beam scattering by a dielectric polygonal cylinder is solved by a boundary integral equations method combined with a method of analytical regularization and a conformal mapping technique for presenting the parametric equations of the scatterer contour in terms of a rapidly convergent infinite series. It is shown that triangular cross-sections are not appropriate to the minimization of backward scattering in the H-polarization case. Absolute minima are found for square and circular cross-section shapes.

minimization of backward scattering; complex-point line source; boundary integral equations; conformal mapping