Electromagnetic modeling of high magnetic contrast media using Calderón preconditioning. (English) Zbl 1442.65414
Summary: In this contribution, we present a Calderón preconditioner for a novel single-source equation to efficiently model electromagnetic scattering problems involving high magnetic contrasts. Through analysis of the spectral properties of the system matrix after discretization, it is shown that this formulation does not break down when high permeabilities are present, which was an unresolved problem of the Calderón preconditioned Poggio-Miller-Chan-Harrington-Wu-Tsai method. The adopted discretization scheme, which involves Rao-Wilton-Glisson and Buffa-Christiansen basis functions, allows for an easy integration in existing commercial Method of Moments software. The efficiency and accuracy of the presented method is corroborated by numerical examples.
MSC:
| 65N38 | Boundary element methods for boundary value problems involving PDEs |
| 78A30 | Electro- and magnetostatics |
| 78A45 | Diffraction, scattering |
Keywords:
method of moments; electromagnetic scattering; Calderón preconditioner; high magnetic contrastReferences:
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