Scattering by an elliptic cylinder with a strongly elongated cross section

TL;DRAbstract

The paper continues an earlier study devoted to the asymptotic behavior of the field in the boundary layer near the surface of an elliptic cylinder. Using the Kirchhoff formula, the previously derived asymptotics are recalculated to the far field asymptotics, which are considered within a narrow sector near the major axis of the cylinder’s cross section. The resulting asymptotic expressions are uniform with respect to the parameter characterizing the elongation of the ellipse and make it possible to trace the variation of the far field pattern from the limiting case of a strip to the case of a circular cylinder.

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