%0 Journal Article
%A Smith, B.J.
%A Tew, R.H.
%T High-frequency surface wave excitation at a curved impedence boundary
%D 1998
%R 10.1098/rspa.1998.0157
%J Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
%P 247-256
%V 454
%N 1968
%X We consider the situation when an arbitrary open, convex boundary, subject to an impedance condition, is insonified by a high–frequency time–harmonic plane wave. In particular, the inner diffraction structure close to the point where a propagating surface mode is excited is examined in detail, using the methods of multiple scales and asymptotic matching. This provides a complete description of the excitation process and of the outer ray form of the radiative surface mode for an abitrary, convex body. The calculation shows clearly the ideas behind the methodology and demonstrates how the ‘launching’ (or diffraction) coefficient for the amplitude of the surface mode can be calculated. It also helps to bring to the fore aspects of 0(1) amplitude variations away from the point of excitiation which can be interpreted as an 0(1/k) correction to the phase of the radiated field.
%U http://rspa.royalsocietypublishing.org/content/royprsa/454/1968/247.full.pdf