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A Low-Frequency Stable, Excitation Agnostic Discretization of the Right-Hand Side for the Electric Field Integral Equation on Multiply-Connected Geometries
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  • Bernd Hofmann ,
  • Thomas F Eibert,
  • Francesco P Andriulli,
  • Simon B Adrian
Bernd Hofmann

Corresponding Author:[email protected]

Author Profile
Thomas F Eibert
Department of Elec-trical Engineering, School of Computation, Information and Technol-ogy, Technical University of Munich
Francesco P Andriulli
Department of Electronics and Telecommu-nications, Politecnico di Torino, Department of Elec-trical Engineering, School of Computation, Information and Technol-ogy, Technical University of Munich
Simon B Adrian
Fakultät für Informatik und Elektrotechnik, Universität Rostock, Department of Elec-trical Engineering, School of Computation, Information and Technol-ogy, Technical University of Munich

Abstract

In order to accurately compute scattered and radiated fields in the presence of arbitrary excitations, a lowfrequency stable discretization of the right-hand side (RHS) of a quasi-Helmholtz preconditioned electric field integral equation (EFIE) on multiply-connected geometries is introduced, which avoids an ad-hoc extraction of the static contribution of the RHS when tested with solenoidal functions. To obtain an excitation agnostic approach, our approach generalizes a technique to multiply-connected geometries where the testing of the RHS with loop functions is replaced by a testing of the normal component of the magnetic field with a scalar function. To this end, we leverage orientable global loop functions that are formed by a chain of Rao-Wilton-Glisson (RWG) functions around the holes and handles of the geometry, for which we introduce cap surfaces that allow to uniquely define a suitable scalar function. We show that this approach works with open and closed, orientable and non-orientable geometries. The numerical results demonstrate the effectiveness of this approach.
15 Feb 2024Submitted to TechRxiv
19 Feb 2024Published in TechRxiv