Tenth Conference on Electromagnetic and Light Scattering
DOI: 10.1615/ICHMT.2007.ConfElectromagLigScat
ISBN Print: 978-1-56700-244-7
Pattern equation method based on Wilcox representation
pages 209-212
DOI: 10.1615/ICHMT.2007.ConfElectromagLigScat.550
摘要
The variant of the pattern equation method, based on representation of a wave field by Atkinson-Wilcox expansion, is proposed for the solution of wave diffraction problem on compact scatterers. The basic integral-operator equation of the method is deduced and it's algebraization is obtained. Limitations on scatterer geometry, at which algebraic system can be resolved by a reduction method, are established. The analytical solution of plane wave diffraction problem on a sphere is obtained and it is shown, that it merges into the known classical solution at some special value of one of the method parameters. The suggested approach is illustrated by numerical example.