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Lattice sums and the two-dimensional, periodic Green's function for the Helmholtz equation

✍ Scribed by Dienstfrey, A.; Hang, F.; Huang, J.


Book ID
120147151
Publisher
The Royal Society
Year
2001
Tongue
English
Weight
420 KB
Volume
457
Category
Article
ISSN
0962-8444

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One- and two-dimensional lattice sums fo
✍ C.M. Linton; I. Thompson πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 365 KB

The accurate and efficient computation of lattice sums for the three-dimensional Helmholtz equation is considered for the cases where the underlying lattice is one-or twodimensional. We demonstrate, using careful numerical computations, that the reduction method, in which the sums for a two-dimensio