A Nystrom Discretization of a Broad-Band Augmented-Müller Surface Integral Equation
Keywords:
Locally corrected Nyström method, Müller formulation, surface integral equationsAbstract
A broad-band Augmented-Muller (AMuller) surface integral equation method for scattering from material objects is presented. The formulation incorporates surface electric and magnetic charges into the conventional Muller formulation with added constraints on the normal magnetic and electric fields. A new technique to extract the static fields is introduced which improves accuracy of computing scattered near fields at very low frequencies. The (A-Muller) formulation is discretized using the locally corrected Nystrom (LCN) method. Numerical results show that the method is high-order accurate and stable over a broad frequency range from arbitrarily low to high frequencies for simply connected, multiply connected, highly lossy, high contrast and complex material geometries. The proposed formulation does not incorporate line charges, charge continuity constraints, or any frequency scaling of the degrees of freedom.
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