TY - JOUR

T1 - Low-frequency scaling of the standard and mixed magnetic field and Müller integral equations

AU - Bogaert, Ignace

AU - Cools, Kristof

AU - Andriulli, Francesco P.

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The work of I. Bogaert was supported by a postdoctoral grant from the Fund for Scientific Research Flanders (FWO-Vlaanderen).

PY - 2014/2

Y1 - 2014/2

N2 - The standard and mixed discretizations for the magnetic field integral equation (MFIE) and the Müller integral equation (MUIE) are investigated in the context of low-frequency (LF) scattering problems involving simply connected scatterers. It is proved that, at low frequencies, the frequency scaling of the nonsolenoidal part of the solution current can be incorrect for the standard discretization. In addition, it is proved that the frequency scaling obtained with the mixed discretization is correct. The reason for this problem in the standard discretization scheme is the absence of exact solenoidal currents in the rotated RWG finite element space. The adoption of the mixed discretization scheme eliminates this problem and leads to a well-conditioned system of linear equations that remains accurate at low frequencies. Numerical results confirm these theoretical predictions and also show that, when the frequency is lowered, a finer and finer mesh is required to keep the accuracy constant with the standard discretization. © 1963-2012 IEEE.

AB - The standard and mixed discretizations for the magnetic field integral equation (MFIE) and the Müller integral equation (MUIE) are investigated in the context of low-frequency (LF) scattering problems involving simply connected scatterers. It is proved that, at low frequencies, the frequency scaling of the nonsolenoidal part of the solution current can be incorrect for the standard discretization. In addition, it is proved that the frequency scaling obtained with the mixed discretization is correct. The reason for this problem in the standard discretization scheme is the absence of exact solenoidal currents in the rotated RWG finite element space. The adoption of the mixed discretization scheme eliminates this problem and leads to a well-conditioned system of linear equations that remains accurate at low frequencies. Numerical results confirm these theoretical predictions and also show that, when the frequency is lowered, a finer and finer mesh is required to keep the accuracy constant with the standard discretization. © 1963-2012 IEEE.

UR - http://hdl.handle.net/10754/563375

UR - http://ieeexplore.ieee.org/document/6678539/

UR - http://www.scopus.com/inward/record.url?scp=84894106235&partnerID=8YFLogxK

U2 - 10.1109/TAP.2013.2293783

DO - 10.1109/TAP.2013.2293783

M3 - Article

SN - 0018-926X

VL - 62

SP - 822

EP - 831

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 2

ER -