TY - GEN
T1 - Low-Frequency-Stabilized Electric Field Integral Equation on Topologically Non-Trivial Geometries for Arbitrary Excitations
AU - Hofmann, Bernd
AU - Eibert, Thomas F.
AU - Andriulli, Francesco P.
AU - Adrian, Simon B.
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - The low-frequency preconditioned electric field integral equation (EFIE) based on quasi-Helmholtz decompositions is widely used to determine the radiated or scattered field by a given structure over a wide frequency range. However, if the excitation source is not a plane wave but, for instance, a line current, the standard preconditioners cannot recover all current components required to accurately obtain the fields. In this work, we propose an adaptive frequency normalization scheme of the discretized system that overcomes this problem irrespective of the specific excitation and irrespective of the underlying topology of the structure. To this end, the appropriate scaling factors are derived solely based on the norms of the right-hand side (RHS) components. Numerical results demonstrate the importance of our approach to obtain accurate results.
AB - The low-frequency preconditioned electric field integral equation (EFIE) based on quasi-Helmholtz decompositions is widely used to determine the radiated or scattered field by a given structure over a wide frequency range. However, if the excitation source is not a plane wave but, for instance, a line current, the standard preconditioners cannot recover all current components required to accurately obtain the fields. In this work, we propose an adaptive frequency normalization scheme of the discretized system that overcomes this problem irrespective of the specific excitation and irrespective of the underlying topology of the structure. To this end, the appropriate scaling factors are derived solely based on the norms of the right-hand side (RHS) components. Numerical results demonstrate the importance of our approach to obtain accurate results.
UR - http://www.scopus.com/inward/record.url?scp=85139768033&partnerID=8YFLogxK
U2 - 10.1109/AP-S/USNC-URSI47032.2022.9886833
DO - 10.1109/AP-S/USNC-URSI47032.2022.9886833
M3 - Conference contribution
AN - SCOPUS:85139768033
T3 - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
SP - 1938
EP - 1939
BT - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022
Y2 - 10 July 2022 through 15 July 2022
ER -