An iterative solution of one-dimensional rough surface scattering problems based on a factorization of the Helmholtz operator

Author

Adams, Robert J. ; Brown, Gary S.

Author_Institution

Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

Volume

47

Issue

4

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

765

Lastpage

767

Abstract

An iterative series solution for two-dimensional scattering problems derived from a minimally coupled factorization of the Helmholtz equation is presented. The Helmholtz operator is represented as a product of one way wave operators and a corresponding coupling operator. Coupling between oppositely propagating fields is shown to be predominantly localized and this permits an accurate and numerically efficient approximation of the coupling operator. The resulting iterative series is shown to be rapidly convergent for the problem of scattering from impenetrable rough surfaces

Keywords

Helmholtz equations; boundary integral equations; electromagnetic wave polarisation; electromagnetic wave scattering; iterative methods; mathematical operators; series (mathematics); surface scattering; 1D rough surface scattering; Helmholtz equation; Helmholtz operator; boundary integral equation; convergence; coupling operator; first-kind integral equations; impenetrable rough surfaces; iterative series solution; minimally coupled factorization; propagating fields; second-kind integral equation; two-dimensional scattering problems; wave operators; Boundary conditions; Convergence; Integral equations; Iterative methods; Robustness; Rough surfaces; Scattering; Surface roughness; Surface treatment; Surface waves;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.768818

Filename

768818