Title :
Exact Relationship Between the Locally Corrected Nyström Scheme and RWG Moment Method for the Mixed-Potential Integral Equation
Author :
Shafieipour, Mohammad ; Aronsson, Jonatan ; Jeffrey, Ian ; Okhmatovski, Vladimir I.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Manitoba, Winnipeg, MB, Canada
Abstract :
The exact relationship between the Rao-Wilton-Glisson (RWG) method of moments (MoM) and the locally corrected Nyström (LCN) method for the mixed-potential (MP) electric field integral equation (EFIE) is presented as an extension to our work where we established analogous exact relationship for solving the EFIE in its vector-potential (VP) form. It is shown that in order to achieve one such relationship for the MP EFIE, the first- and zeroth-order LCN methods must be, respectively, used for the discretization of the VP and scalar-potential terms of the MP EFIE. The resulting numerical scheme is a point-based RWG MoM discretization of the MP EFIE via the Nyström method. Due to the MP formulation of the EFIE, the proposed method establishes notably higher accuracy compared to either RWG MoM or LCN discretizations of the EFIE in the VP form. The increased accuracy is attributed to the analytical cancellation of the line charge contributions in the MP formulation as opposed to numerical cancellation inherent in the VP formulation of the EFIE. The detailed study and explanations of the above cancellations is presented along with their impact on the accuracy of the respective schemes for both canonical and realistic scattering targets at different frequencies.
Keywords :
electric field integral equations; electromagnetic wave scattering; method of moments; MP EFIE; RWG moment method; Rao-Wilton-Glisson method of moments; electromagnetic scattering; locally corrected Nystrom scheme; mixed-potential electric field integral equation; numerical cancellation; point-based RWG MoM discretization; vector-potential form; Accuracy; Antennas; Impedance; Integral equations; Kernel; Matrix converters; Method of moments; Electromagnetic scattering; Locally corrected Nystrom (LCN) method; Mixed-potential electricfiled integral equation (MPIE); Point-based RWG method-of-moments (MoM); locally corrected Nystrom (LCN) method; mixed-potential electric field integral equation (MPIE); point-based Rao???Wilton???Glisson (RWG) method of moments (MoM);
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2015.2474136