Abstract

In this letter, the quasi-Helmholtz projectors are applied to address numerical cancellation of augmented electric field integral equation (A-EFIE). The projectors rescale the term <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\overline{\bf V} \cdot i{k}_0{\bf j}$</tex-math></inline-formula> and right-hand side to guarantee that the solution is stable at very low frequency. The improved system is full rank without removing the singularity caused by charge neutrality. Compared to the EFIE with quasi-Helmholtz projectors, this letter presents a better convergence performance and takes less computational cost. The numerical results show that the solution of both scattering problems and circuit problems can ensure the accuracy in the low-frequency regime.

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