TY - GEN
T1 - Derivation of N-Müller equations using Calderón identities
AU - Yan, Su
AU - Jin, Jian Ming
AU - Nie, Zaiping
PY - 2010
Y1 - 2010
N2 - Müller equations [1] are well known for solving scattering problems by dielectric objects. However, they are not widely used because the solution is unstable when Galerkin's method is applied. In [2], the Müller equations are manipulated by an n̂ × operation, yielding the so-called N-Müller equations, which are shown to be well conditioned because the identity operators are well tested. But the n̂ × operation results in an undesired contour integral. In this paper, the Calderón relation and the Calderón identities [3] are used to derive the N-Müller equations from the electric field integral equation (EFIE) and magnetic field integral equation (MFIE) for scattering by a dielectric object, and the n̂ × Buffa-Christiansen (BC) [4] functions are used to test the N-Müller equations to avoid the appearance of the contour integral.
AB - Müller equations [1] are well known for solving scattering problems by dielectric objects. However, they are not widely used because the solution is unstable when Galerkin's method is applied. In [2], the Müller equations are manipulated by an n̂ × operation, yielding the so-called N-Müller equations, which are shown to be well conditioned because the identity operators are well tested. But the n̂ × operation results in an undesired contour integral. In this paper, the Calderón relation and the Calderón identities [3] are used to derive the N-Müller equations from the electric field integral equation (EFIE) and magnetic field integral equation (MFIE) for scattering by a dielectric object, and the n̂ × Buffa-Christiansen (BC) [4] functions are used to test the N-Müller equations to avoid the appearance of the contour integral.
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U2 - 10.1109/APS.2010.5561890
DO - 10.1109/APS.2010.5561890
M3 - Conference contribution
AN - SCOPUS:78349284407
SN - 9781424449682
T3 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
BT - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
T2 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
Y2 - 11 July 2010 through 17 July 2010
ER -