The internal resonance problem of integral equations is a problem that has plagued solutions of scalar and vector integral equations. A lucid way to explain the occurrence of the internal resonance problem for integral equations of scattering is given in this paper. The physical insight is gotten by performing Gedanken experiments for MFIE for PEC, and for penetrable scatterers when EFIE and MFIE alone are applied. These proofs provide with physical clarity the reasons of the internal resonance problem, as well as the physical character of the internal resonance problem. The connection of the uniqueness of CFIE and the cavity resonance problem is reported.
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Chew et al. (2007) studied this question.