ThompsonSIAMJAM70.pdf (3.18 MB)
Guided surface waves on one- and two-dimensional arrays of spheres
journal contribution
posted on 2014-07-23, 10:46 authored by Ian Thompson, Christopher LintonChristopher LintonGuided acoustic waves propagating along one- and two-dimensional arrays of rigid
spheres are studied semianalytically. The quasi-periodic wavefield is constructed as a superposition
of spherical wave functions, and then application of the boundary condition on the sphere surfaces
leads to an infinite system of real linear algebraic equations. The vanishing of the determinant of the
associated infinite matrix provides the condition for surface waves to exist, and these are determined
numerically. In the case of a two-dimensional array, we consider arbitrary skew lattices and compute
surface modes which are either symmetric or antisymmetric about the plane of the array. Our
numerical calculations make extensive use of previous work by the authors on the accurate and
efficient computation of lattice sums.
History
School
- Science
Department
- Mathematical Sciences
Published in
SIAM JOURNAL ON APPLIED MATHEMATICSVolume
70Issue
8Pages
2975 - 2995 (21)Citation
THOMPSON, I. and LINTON, C.M., 2010. Guided surface waves on one- and two-dimensional arrays of spheres. SIAM Journal of Applied Mathematics, 70(8), pp.2975-2995.Publisher
© Society for Industrial and Applied Mathematics (SIAM)Version
- VoR (Version of Record)
Publication date
2010ISSN
0036-1399Publisher version
Language
- en