Skip to Main content Skip to Navigation
Journal articles

Scattering from quasi-planar and moderate rough surfaces: Efficient method to fill the EFIE-Galerkin MoM impedance matrix and to solve the linear system

Abstract : First, an acceleration to compute the impedance matrix obtained from the EFIE (electric field integral equation) discretized by the Galerkin MoM (method of moments) with Rao-Wilton-Glisson basis functions, is addressed. It is based on a far-field approximation and makes it possible to avoid to loop on the source and observation triangles. Next, the impedance matrix is split into strong and weak interactions; the latter is compressed by expressing it from Toeplitz sub-matrices. Then, the linear system is efficiently solved by a bi-iterative scheme. For a given order, the LSQR (least squares QR) algorithm is applied to solve the sparse linear system related to the strong interactions, while the matrix-vector products, related to the weak interactions, are accelerated by using FFTs. Numerical results of the field scattered by perfectly-conducting paraboloid-shape object and Gaussian rough surface are shown.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03120958
Contributor : Sandrine Charlier Connect in order to contact the contributor
Submitted on : Wednesday, June 30, 2021 - 9:45:06 AM
Last modification on : Tuesday, October 19, 2021 - 10:36:38 PM
Long-term archiving on: : Friday, October 1, 2021 - 6:10:54 PM

File

Bourlier-2021-Scattering from ...
Files produced by the author(s)

Identifiers

Citation

Christophe Bourlier. Scattering from quasi-planar and moderate rough surfaces: Efficient method to fill the EFIE-Galerkin MoM impedance matrix and to solve the linear system. IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, In press, ⟨10.1109/TAP.2021.3060920⟩. ⟨hal-03120958⟩

Share

Metrics

Record views

86

Files downloads

50