Abstract
Scattering of electromagnetic waves from rough surfaces has been studied by analytical, experimental, and numerical means. In the numerical approaches, the Monte Carlo method has been used for decades employing the method of moments (MoM). Traditional MoM in conjunction with the Galerkin procedure requires that the computation time be on the order of n2 for matrix filling and n3 for matrix inversion if Gaussian elimination is employed. In this paper we employ the Coifman wavelets (Coiflets) which have compact supports, permit the multiresolution analysis (MRA) and form an orthonormal basis with zero moments, smoothness, and Dirac-δ-like property. The Coiflets reduce the matrix filling into O(n). In a benchmark case of a very rough surface with σ = 1λ, ℓ = 2λ, the matrix size has been reduced from 32,768 × 32,768 to 8192 × 8192. Numerical results agree well with the laboratory measurements. The backscattering enhancements are observed for both the like- and cross- polarizations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 400-403 |
| Number of pages | 4 |
| Journal | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |
| Volume | 3 |
| State | Published - 2003 |
| Event | 2003 IEEE International Antennas and Propagation Symposium and USNC/CNC/URSI North American Radio Science Meeting - Columbus, OH, United States Duration: Jun 22 2003 → Jun 27 2003 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering