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The “dottrick TDEFIE”: a DC stable integral equation for analyzing transient scattering from PEC bodies
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Nullspaces of MFIE and Calderon Preconditioned EFIE Operators Applied to Toroidal Surfaces
No full textMagnetic field integral equation (MFIE) and Calderon preconditioned electric field integral equation (EFIE) operators applied to toroidal surfaces have nontrivial nullspaces in the static limit. The nature of these nullspaces is elucidated and a technique for generating a basis for them presented. In addition, the effects of these nullspaces on the numerical solution of both frequency and time-domain MFIE and Calderon preconditioned EFIEs are investigated. The theoretical analysis is accompanied by corroborating numerical examples that show how these operators' nullspaces affect real-world problems
Time-Domain Calderon Identities and their Application to the Integral Equation Analysis of Scattering by PEC Objects Part II
Full text linkNovel time domain integral equations for analyzing scattering from perfect electrically conducting objects are presented. They are free from DC and resonant instabilities plaguing standard electric field integral equation. The new equations are obtained using operator manipulations originating from the Calderon identities. Theoretical motivations leading to the construction of the new equations are explored and numerical results confirming their theoretically predicted behavior are presented
Improving the MFIE's accuracy by using a mixed discretization
No full textThe scattering of time-harmonic electromagnetic waves by perfect electrical conductors (PECs) can be modelled by several boundary integral equations, the magnetic and electric field integral equations (MFIE and EFIE) being the most prominent ones. These equations can be discretized by expanding current distributions in terms of Rao-Wilton-Glisson (RWG) functions defined on a triangular mesh approximating the scatterer's surface and by testing the equations using the same RWG functions. The main advantage of the MFIE is that it is well-posed in the easy-to-understand L2-norm. Discretization of the MFIE leads to systems that can be solved efficiently using iterative solution techniques. In this contribution, the cause for the MFIE's inaccuracy is discussed, and a new discretization scheme is proposed. Numerical results are presented that demonstrate the improvement realized by the new scheme over the classical one
Comparison of Finite-Difference and Finite-Element Schemes for Magnetization Processes in 3-D Particles
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