TY - JOUR
T1 - An efficient scattering algorithm for smooth and sharp surfaces
T2 - Coiflet-based scalar MFIE
AU - Pan, Guangwen George
AU - Jin, Ming
AU - Zhang, Lisha
AU - Bai, Ming
AU - Miao, Jungang
PY - 2014/8
Y1 - 2014/8
N2 - We present a scattering algorithm using the magnetic-field integral equation (MFIE). The MFIE is a second kind integral equation and is well posed, rendering good condition number and fast convergence of the iteration solver. Nonetheless, the MFIE is derived assuming smooth surface, while the RWG discretizes a smooth curved surface into triangular facets with nonsmooth edges. This inconsistency greatly degrades the MFIE performance. In contrast, Coiflets are highly regular and completely differentiable. As a high-order function, the Coiflet basis conforms to the geometry in expansion, and it is dually used in conformal testing, preserving all merits of the MFIE. Due to its high-precision one-point quadrature (OPQ), the Coiflet algorithm results in O(N) for smooth surfaces up to 1800 λ2 and begins trend of O(N log N) when surface increases to 3200 λ2. Numerical results are compared with the RWG-MLFMA-based commercial software, FEKO, and the Mie theory. Good agreement has been observed.
AB - We present a scattering algorithm using the magnetic-field integral equation (MFIE). The MFIE is a second kind integral equation and is well posed, rendering good condition number and fast convergence of the iteration solver. Nonetheless, the MFIE is derived assuming smooth surface, while the RWG discretizes a smooth curved surface into triangular facets with nonsmooth edges. This inconsistency greatly degrades the MFIE performance. In contrast, Coiflets are highly regular and completely differentiable. As a high-order function, the Coiflet basis conforms to the geometry in expansion, and it is dually used in conformal testing, preserving all merits of the MFIE. Due to its high-precision one-point quadrature (OPQ), the Coiflet algorithm results in O(N) for smooth surfaces up to 1800 λ2 and begins trend of O(N log N) when surface increases to 3200 λ2. Numerical results are compared with the RWG-MLFMA-based commercial software, FEKO, and the Mie theory. Good agreement has been observed.
KW - Coifman wavelets
KW - EFIE
KW - Galerkin procedure
KW - MFIE
KW - fast wavelet transform
KW - scattering
UR - https://www.scopus.com/pages/publications/84905719870
U2 - 10.1109/TAP.2014.2322886
DO - 10.1109/TAP.2014.2322886
M3 - 文章
AN - SCOPUS:84905719870
SN - 0018-926X
VL - 62
SP - 4241
EP - 4250
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 8
M1 - 6813596
ER -