TY - GEN

T1 - On the Low-Frequency Scaling of Vector Potential Integral Equation Solutions

AU - Chen, Rui

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2022-03-18

PY - 2021

Y1 - 2021

N2 - Vector potential integral equations (VPIEs) have recently been proposed as break-down free alternatives to field integral equations for analyzing low-frequency electromagnetic scattering problems. In this work, accuracy of VPIEs for perfect electrically conducting scatterers at low frequencies is investigated. Depending on the different representation of the vector potential formulation, four different integral equations in unknown electric current and normal component of the vector potential are obtained. To numerically solve these VPIEs, the electric current and the normal component of the vector potential are expanded using Rao-Wilton-Glisson and pulse basis functions, respectively. Inserting these expansions into two of the integral equations and using Galerkin testing yield a linear matrix system. Numerical results show that depending on the choice of VPIEs, the solution of this linear matrix system is inaccurate at low frequencies, similar to the magnetic field integral equation.

AB - Vector potential integral equations (VPIEs) have recently been proposed as break-down free alternatives to field integral equations for analyzing low-frequency electromagnetic scattering problems. In this work, accuracy of VPIEs for perfect electrically conducting scatterers at low frequencies is investigated. Depending on the different representation of the vector potential formulation, four different integral equations in unknown electric current and normal component of the vector potential are obtained. To numerically solve these VPIEs, the electric current and the normal component of the vector potential are expanded using Rao-Wilton-Glisson and pulse basis functions, respectively. Inserting these expansions into two of the integral equations and using Galerkin testing yield a linear matrix system. Numerical results show that depending on the choice of VPIEs, the solution of this linear matrix system is inaccurate at low frequencies, similar to the magnetic field integral equation.

UR - http://hdl.handle.net/10754/675868

UR - https://ieeexplore.ieee.org/document/9704341/

U2 - 10.1109/APS/URSI47566.2021.9704341

DO - 10.1109/APS/URSI47566.2021.9704341

M3 - Conference contribution

SN - 978-1-7281-4671-3

BT - 2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI)

PB - IEEE

ER -