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The question of non-uniqueness in boundary integral equation formulations of exterior boundary-value problems in time-harmonic acoustic and electromagnetic scattering can be resolved by seeking the solutions in the form of a combined single and double-layer potential in acousties or a combined electric- and magnetic-dipole field in electromagnetics. We present an analysis of the appropriate choice of the coupling parameters which is optimal in the sense of minimizing the condition number of the boundary integral operators.
A Tue, study studied this question.