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- C. M. Linton, Paul A. Martin
- The Journal of the Acoustical Society of America
- 2005

A formula for the effective wavenumber in a dilute random array of identical scatterers in two dimensions is derived, based on Lax's quasicrystalline approximation. This formula replaces aâ€¦ (More)

In this paper we investigate the existence of embedded trapped modes for symmetric obstacles which are placed on the centreline of a two-dimensional acoustic waveguide. Modes are sought which areâ€¦ (More)

- I. Thompson, C. M. Linton
- SIAM Journal of Applied Mathematics
- 2008

Wave scattering by an array of bodies that is periodic except for a finite number of missing or irregular elements is considered. The field is decomposed into contributions from a set of canonicalâ€¦ (More)

The existence of pure Rayleigh-Bloch surface waves for a wide class of geometries is proved.

- O. N. Umnova, Keith Attenborough, C. M. Linton
- The Journal of the Acoustical Society of America
- 2006

The acoustic transmission loss of a finite periodic array of long rigid cylinders, without and with porous absorbent covering, is studied both theoretically and in the laboratory. A multipleâ€¦ (More)

- C. M. Linton, Paul A. Martin
- SIAM Journal of Applied Mathematics
- 2006

Abstract. We provide the first classical derivation of the Lloydâ€“Berry formula for the effective wavenumber of an acoustic medium filled with a sparse random array of identical small scatterers. Ourâ€¦ (More)

- C. M. Linton
- 2005

Abstract We are concerned with a certain class of SchlÃ¶milch series that arise naturally in the study of diffraction problems when the scatterer is a periodic structure. By combining new resultsâ€¦ (More)

- C. M. Linton, Paul A. Martin
- SIAM Journal of Applied Mathematics
- 2004

We solve the two-dimensional problem of acoustic scattering by a semi-infinite periodic array of identical isotropic point scatterers, i.e. objects whose size is negligible compared to the incidentâ€¦ (More)

- C. M. Linton, R. Porter, I. Thompson
- SIAM Journal of Applied Mathematics
- 2007

The two-dimensional problem of acoustic scattering of an incident plane wave by a semi-infinite array of either rigid or soft circular scatterers is solved. Solutions to the corresponding infiniteâ€¦ (More)

â€¢ 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, structuralâ€¦ (More)