Articles | Volume 24
https://doi.org/10.5194/ars-24-29-2026
https://doi.org/10.5194/ars-24-29-2026
14 Jul 2026
 | 14 Jul 2026

Dyadic multipole-based generalized source integral equations

Richard Kalhöfer, Yossi Dahan, Yaniv Brick, Amir Boag, and Ludger Klinkenbusch

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Cited articles

Adams, R. J., Canning, F. X., and Zhu, A.: Sparse Representations of Integral Equations in a Localizing Basis, Microw. Opt. Technol. Lett., 47, 236–240, https://doi.org/10.1002/mop.21135, 2005. a
Bleszynski, E., Bleszynski, M., and Jaroszewicz, T.: AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems, Radio Sci., 31, 1225–1251, https://doi.org/10.1029/96RS02504, 1996. a
Boag, A. and Lomakin, V.: Generalized Equivalence Integral Equations, IEEE Antennas Wireless Propag. Lett., 11, 1568–1571, https://doi.org/10.1109/LAWP.2012.2236294, 2012. a, b
Boag, A., Michielssen, E., and Brandt, A.: Nonuniform polar grid algorithm for fast field evaluation, IEEE Antennas Wireless Propag. Lett., 1, 142–145, https://doi.org/10.1109/LAWP.2002.806762, 2002. a
Brick, Y.: Increasing the Butterfly-Compressibility of Moment Matrix Blocks: A Quantitative Study, IEEE Trans. Antennas Propag., 69, 588–593, https://doi.org/10.1109/TAP.2020.3000532, 2021. a, b
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Short summary
A modified dyadic kernel for surface integral equations of transverse-electric wave scattering by impenetrable shapes is presented. It uses auxiliary magnetic multipole components to reduce the broadside interactions between surface regions and, thus, enhance the rank deficiency of the corresponding matrix operator blocks. Its structure enables its application for various scatterer shapes and fast solver acceleration with controllable accuracy within a broad error threshold range.
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