Low-frequency Breakdown of the Potential Integral Equations and Its Remedy

Gür, Uğur Meriç
Ergül, Özgür Salih
Potential integral equations (PIEs) introduced recently also have a low-frequency breakdown that becomes visible when considering the electric charge density and near-zone electric field intensity values. As opposed to the well-known low-frequency breakdown of the electric-field integral equation (EFIE), which shows itself as both inaccuracy and ill-conditioning, the low-frequency breakdown of PIEs is not related to the conditioning properties of the related matrix equations. Therefore, we clearly distinguish the low-frequency breakdowns of EFIE and PIEs by categorizing the underlying mechanisms as field imbalance and source imbalance. Numerical examples are presented to provide a complete picture of these integral equations at low-frequencies, besides an effective post-processing method to mitigate the inaccuracies in PIEs.
Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL)


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Citation Formats
U. M. Gür and Ö. S. Ergül, “Low-frequency Breakdown of the Potential Integral Equations and Its Remedy,” presented at the Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL), Singapore, SINGAPORE, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55810.