Open AccessFast Coiflet magnetic field integral equation for scattering from open rough surfaces
Author(s) -
Zhang Lisha,
Pan Guangwen George
Publication year - 2016
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2015.0382
Subject(s) - solver , integral equation , matrix (chemical analysis) , mathematics , quadrature (astronomy) , wavelet , feko , conjugate gradient method , multipole expansion , mathematical analysis , algorithm , mathematical optimization , physics , software , computer science , materials science , optics , artificial intelligence , composite material , programming language , quantum mechanics
The magnetic field integral equation (MFIE) is solved by Coiflets for rough surface scattering. The vanishing moments of Coiflets provide one‐point quadrature, which slashes the matrix filling effort from O ( N 2 ) to O ( N ), and consequently reduces the complexity scaling in between O ( N ) and O ( N log N ) for problems with unknowns up to 10 6 . The bi‐conjugate solver converges very fast owing to the well‐posedness of the MFIE. The resulting impedance matrix is further sparsified by the matrix‐formed standard fast wavelet transform. By properly selecting multiresolution levels of the total transformation matrix, the solution precision can be enhanced while matrix sparsity and memory consumption have not been noticeably sacrificed. Numerical results are compared with the Rao‐Wilton‐Glisson multilevel fast multipole algorithm (RWG‐MLFMA) based commercial software FEKO, and good agreement is observed.