Point-based Discretization of the Mixed-Potential RWG MoM via the Nyström Method (Mixed-Potential RWG-via-LCN)


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Presented by: M. Shafieipour, I. Jeffrey, J. Aronsson, and V. Okhmatovski

Abstract: In the class of low-order solutions, Rao-Wilton-Glisson (RWG) basis functions are widely used in the Moment Method (MoM) solution of electromagnetic scattering problems. The RWG MoM have been recently related to the first-order Locally Corrected Nyström (LCN) method for solution of the Electric Field Integral Equation (EFIE) (Shafieipour, et.al., IEEE Trans. Antennas Propag., 99, 1-11, 2013), resulting in a currentcontinuity- enforcing point-based discretization scheme (RWG-via-LCN) which can efficiently be accelerated by the Multilevel Fast Multipole Algorithm (MLFMA). However, it is known that the LCN method suffers from low-frequency breakdown more severely (Young, et.al., IEEE Antennas. Wireless. Propag. Lett., 11, 846-849, 2012) when applied to solution of the EFIE. This is due to discretization of the vector-potential EFIE as opposed to the mixed-potential EFIE.

In this work we show that the RWG-via-LCN method inherits the low-frequency breakdown from the LCN method. As a remedy, we introduce a new RWG-via-LCN scheme which is a mixture of zeroth and first-order discretization of the EFIE and we show that it is equivalent to the mixed-potential RWG MoM.

This work was presented at 2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) as a poster which is provided below:

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