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Asymptotic Solutions for Backscattering by Smooth 2D Surfaces

By Iosif Fuks
Progress In Electromagnetics Research, Vol. 53, 189-226, 2005


igh-frequency asymptotic expansions of electric and magnetic fields are obtained at a perfectly conducting smooth 2-D surface illuminated by a plane incident wave in two cases of TE and TM linear polarization. Diffraction corrections up to the second order of the inverse large parameter p = ak (where a is a curvature radius at the specularly reflected point, and k is a field wavenumber) to the geometrical optics fields, and specifically to their phases, backscattering cross-sections (HH and VV for TE and TM polarizations, correspondingly), as well as the polarization ratio HH/VV, are derived for the specular points of a general form. These general results are applied to backscattering from cylinders with conical section directrixes (circle, parabola, ellipse and hyperbola), and a number of new compact explicit equations are derived, especially for elliptic and hyperbolic cylinders illuminated at an arbitrary incidence angle relative to their axes of symmetry.


 (See works that cites this article)
Iosif Fuks, "Asymptotic Solutions for Backscattering by Smooth 2D Surfaces," Progress In Electromagnetics Research, Vol. 53, 189-226, 2005.


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