Authors: I. V. Andronov and R. Mittra
Source: FERMAT, Volume 2, Article 3, Mar.-Apr., 2014
Abstract: The problem of high-frequency diffraction by elongated bodies is discussed in this work. The classical approach is shown to require too high frequencies for its applicability. Attempts to improve the approximating properties of the asymptotic methods are discussed, focusing on the case of strongly elongated bodies examined in detail. The asymptotics are governed by the elongation parameter, the ratio of the longitudinal wave dimensions of the body to its cross-section. The cases of axial incidence as that of incidence at a grazing angle to the axis are considered. Both the asymptotics of the induced currents on the surface and of the far field amplitude are developed. Comparison with numerical results for a set of test problems shows that the leading terms of the new asymptotics provide good approximation in a uniform manner with respect to the rate of elongation.
Index Terms: High-frequency asymptotics, diffraction, elongated bodies.
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Asymptotic Theory of Diffraction by Elongated Bodies — from V. A. Fock to Present