TY - GEN
T1 - Towards a Self-Adaptive Frequency Normalization Scheme for the Low-Frequency Stabilized Magnetic Field Integral Equation
AU - Hofmann, Bernd
AU - Eibert, Thomas F.
AU - Andriulli, Francesco P.
AU - Adrian, Simon B.
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - Low-frequency preconditioned boundary integral equations based on quasi-Helmholtz decompositions are widely used to obtain the radiated or scattered fields by a finite structure over a wide frequency range. Specifically, for perfectly electrically conducting (PEC) structures, the conformingly discretized magnetic field integral equation (MFIE) plays a crucial role. However, a careful analysis and, potentially, ad-hoc adaptions are necessary for each excitation to ensure that all fields are obtained accurately. To avoid such cumbersome analyses, we propose an excitation agnostic and self-adaptive frequency normalization scheme. To this end, the appropriate scaling factors are derived based on the norms of the right-hand side (RHS) components without requiring any ad-hoc adaptions or any a-priori knowledge about the excitation. Numerical results demonstrate the effectiveness of this approach to obtain accurate fields.
AB - Low-frequency preconditioned boundary integral equations based on quasi-Helmholtz decompositions are widely used to obtain the radiated or scattered fields by a finite structure over a wide frequency range. Specifically, for perfectly electrically conducting (PEC) structures, the conformingly discretized magnetic field integral equation (MFIE) plays a crucial role. However, a careful analysis and, potentially, ad-hoc adaptions are necessary for each excitation to ensure that all fields are obtained accurately. To avoid such cumbersome analyses, we propose an excitation agnostic and self-adaptive frequency normalization scheme. To this end, the appropriate scaling factors are derived based on the norms of the right-hand side (RHS) components without requiring any ad-hoc adaptions or any a-priori knowledge about the excitation. Numerical results demonstrate the effectiveness of this approach to obtain accurate fields.
UR - https://www.scopus.com/pages/publications/85172423239
U2 - 10.1109/USNC-URSI52151.2023.10238214
DO - 10.1109/USNC-URSI52151.2023.10238214
M3 - Conference contribution
AN - SCOPUS:85172423239
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 1213
EP - 1214
BT - 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2023 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2023
Y2 - 23 July 2023 through 28 July 2023
ER -