GREENS-FUNCTION AND LATTICE SUMS FOR ELECTROMAGNETIC SCATTERING BY A SQUARE ARRAY OF CYLINDERS

Citation
Sk. Chin et al., GREENS-FUNCTION AND LATTICE SUMS FOR ELECTROMAGNETIC SCATTERING BY A SQUARE ARRAY OF CYLINDERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 4590-4602
Citations number
17
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
5
Year of publication
1994
Part
B
Pages
4590 - 4602
Database
ISI
SICI code
1063-651X(1994)49:5<4590:GALSFE>2.0.ZU;2-L
Abstract
A method is given to represent in terms of absolutely convergent serie s the lattice sums involved in solving problems of electromagnetic dif fraction by two-dimensional periodic arrays of obstacles. The expressi ons of the lattice sums are used to express the Green's function of th e problem as a Neumann series. These results lead to very efficient al gorithms for numerical calculations of the Green's function.