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

Gur, U. M.; Ergul, O.


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        "affiliation": "Middle East Tech Univ, Dept Elect & Elect Engn, Ankara, Turkey", 
        "name": "Gur, U. M."
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        "affiliation": "Middle East Tech Univ, Dept Elect & Elect Engn, Ankara, Turkey", 
        "name": "Ergul, O."
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    "description": "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.", 
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      "title": "2017 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM - FALL (PIERS - FALL)"
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