Sciweavers

Share
SIAMREV
2010

Lattice Sums for the Helmholtz Equation

9 years 8 months ago
Lattice Sums for the Helmholtz Equation
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 objectives is to show how the various forms depend on the dimension d of the underlying space and the lattice dimension d. Lattice sums are related to, and can be calculated from, the quasi-periodic Green's function and this object serves as the starting point of the analysis. Key words. Lattice, Helmholtz equation, Ewald summation, quasi-periodic Green's function AMS subject classifications.
Chris M. Linton
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where SIAMREV
Authors Chris M. Linton
Comments (0)
books