TechRxiv__2022_Hofmann.pdf (3.36 MB)
Download file

An Excitation-Aware and Self-Adaptive Frequency Normalization for Low-Frequency Stabilized Electric Field Integral Equation Formulations

Download (3.36 MB)
posted on 2022-11-10, 01:07 authored by Bernd HofmannBernd Hofmann, Thomas F. Eibert, Francesco P. Andriulli, Simon AdrianSimon Adrian

The accurate solution of quasi-Helmholtz decomposed electric field integral equations (EFIEs) in the presence of arbitrary excitations is addressed: Depending on the specific excitation, the quasi-Helmholtz components of the induced current density do not have the same asymptotic scaling in frequency, and thus, the current components are solved for with, in general, different relative accuracies. In order to ensure the same asymptotic scaling, we propose a frequency normalization scheme of quasi-Helmholtz decomposed EFIEs which adapts itself to the excitation and which is valid irrespective of the specific excitation and irrespective of the underlying topology of the structure. Specifically, neither an ad-hoc adaption nor a-priori information about the excitation is needed as the scaling factors are derived based on the norms of the right-hand side (RHS) components and the frequency. Numerical results corroborate the presented theory and show the effectiveness of our approach.


Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - SFB 1270/2 - 299150580


Email Address of Submitting Author

ORCID of Submitting Author


Submitting Author's Institution

Technical University of Munich

Submitting Author's Country

  • Germany