A survey of different representations for lattice sums for the Helmholtz equation is given. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main… (More)

Abstract We are concerned with a certain class of Schlömilch series that arise naturally in the study of diffraction problems when the scatterer is a periodic structure. By combining new results… (More)

• NOTICE: this is the author's version of a work that was accepted for publication in Wave Motion. Changes resulting from the publishing process, such as peer review, editing, corrections, structural… (More)

The scattering of water waves by a dock of finite width and infinite length in water of finite depth is solved using the modified residue calculus technique. The problem is formulated for obliquely… (More)

Trapped modes, localized oscillations in unbounded media, are referred to in different contexts by various names; acoustic resonances, Rayleigh-Bloch waves, edge waves, array guided surface waves and… (More)

We consider, using linear water-wave theory, three-dimensional problems concerning the interaction of waves with structures in a fluid which contains a layer of finite depth bounded above by a free… (More)

The problem of oblique wave scattering of a Rayleigh wave by a cylindrical cavity in an elastic half-space is solved using the multipole expansion method. Whereas in the analogous water-wave problem… (More)

One of the most successful techniques for handling multiple scattering is the so-called T-matrix approach in which the full linear solution can be computed once it has been determined how each… (More)