TY - JOUR
T1 - Fast Coiflet magnetic field integral equation for scattering from open rough surfaces
AU - Zhang, Lisha
AU - Pan, George
N1 - Funding Information:
The authors thank Ming Jin of State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing, and Ke Wang of Intel Corporation, Phoenix, AZ for their help and support. The authors also thank reviewers for valuable inputs.
Publisher Copyright:
© The Institution of Engineering and Technology 2016.
PY - 2016/6/5
Y1 - 2016/6/5
N2 - 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(N2) to O(N), and consequently reduces the complexity scaling in between O(N) and O(Nlog N) for problems with unknowns up to 106. 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.
AB - 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(N2) to O(N), and consequently reduces the complexity scaling in between O(N) and O(Nlog N) for problems with unknowns up to 106. 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.
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U2 - 10.1049/iet-map.2015.0382
DO - 10.1049/iet-map.2015.0382
M3 - Article
AN - SCOPUS:84969916151
SN - 1751-8725
VL - 10
SP - 836
EP - 842
JO - IET Microwaves, Antennas and Propagation
JF - IET Microwaves, Antennas and Propagation
IS - 8
ER -