Monte Carlo simulation of electromagnetic scattering from two-dimensional random rough surfaces

Author

Wagner, Robert L. ; Song, Jiming ; Chew, Weng C.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

45

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

235

Lastpage

245

Abstract

The fast multipole method fast Fourier transform (FMM-FFT) method is developed to compute the scattering of an electromagnetic wave from a two-dimensional (2-D) rough surface. The resulting algorithm computes a matrix-vector multiply in O(N log N) operations. This algorithm is shown to be more efficient than another O(N log N) algorithm, the multilevel fast multipole algorithm (MLFMA), for surfaces of small height. For surfaces with larger roughness, the MLFMA is found to be more efficient. Using the MLFMA, Monte Carlo simulations are carried out to compute the statistical properties of the electromagnetic scattering from 2-D random rough surfaces using a workstation. For the rougher surface, backscattering enhancement is clearly observable as a pronounced peak in the backscattering direction of the computed bistatic scattering coefficient. For the smoother surface, the Monte Carlo results compare well with the results of the approximate Kirchhoff theory

Keywords

Monte Carlo methods; backscatter; electromagnetic wave scattering; fast Fourier transforms; matrix multiplication; statistical analysis; 2D random rough surfaces; FMM-FFT method; Monte Carlo simulation; approximate Kirchhoff theory; backscattering direction; backscattering enhancement; bistatic scattering coefficient; electromagnetic wave scattering; fast Fourier transform; fast multipole method; height; matrix-vector multiply; multilevel fast multipole algorithm; statistical properties; workstation; Backscatter; Electromagnetic scattering; Fast Fourier transforms; MLFMA; Monte Carlo methods; Rough surfaces; Surface roughness; Surface waves; Two dimensional displays; Workstations;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.560342

Filename

560342