An Augmented Regularized Combined Source Integral Equation for Nonconforming Meshes

[EN] We present a new version of the regularized combined source integral equation (CSIE-AR) for the solution of electromagnetic scattering problems in the presence of perfectly conducting bodies. The integral equation is of the second kind and has no spurious resonances. It is well conditioned at all frequencies for simply connected geometries. Reconstruction of the magnetic field, however, is subject to catastrophic cancelation due to the need for computing a scalar potential from magnetic currents. Here, we show that by solving an auxiliary (scalar) integral equation, we can avoid this form of low-frequency breakdown. The auxiliary scalar equation is used to solve a Neumann-type boundary value problem using data corresponding to the normal component of the magnetic field. This scalar equation is also of the second kind, nonresonant, and well conditioned at all frequencies. A principal advantage of our approach, by contrast with the hypersingular electric field integral equation, the combined field integral equation, or CSIE formulations, is that the standard loop-star and related basis function constructions are not needed, and preconditioners are not required. This permits an easy coupling to fast algorithms such as the fast multipole method. Furthermore, the formalism is compatible with nonconformal mesh discretization and works well with singular (sharp) boundaries.This work was supported in part by the Spanish Ministry of Science and Innovation under Project TEC2016-78028-C3-3-P and in part by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR through the NSSEFF Program under Award FA9550-10-1-0180.Vico Bondía, F.; Greengard, L.; Ferrando Bataller, M.; Antonino Daviu, E. (2019). An Augmented Regularized Combined Source Integral Equation for Nonconforming Meshes. IEEE Transactions on Antennas and Propagation. 67(4):2513-2521. https://doi.org/10.1109/TAP.2019.2891399S2513252167

Comparison of surface integral equations for left-handed materials

A wide analysis of left-handed material (LHM) spheres with di®erent constitutive parameters has been carried out employ- ing di®erent integral-equation formulations based on the Method of Moments. The study is focused on the accuracy assessment of for- mulations combining normal equations (combined normal formula- tion, CNF), tangential equations (combined tangential formulation, CTF, and Poggio-Miller-Chang-Harrington-Wu-Tsai formulation, PM- CHWT) and both of them (electric and magnetic current combined ¯eld integral equation, JMCFIE) when dealing with LHM's. Relevant and informative features as the condition number, the eigenvalues dis- tribution and the iterative response are analyzed. The obtained results show up the suitability of the JMCFIE for this kind of analysis in con- trast with the unreliable behavior of the other approaches.Ministerio de Ciencia e Innovación | Ref. TEC2008-06714-C02-01Ministerio de Ciencia e Innovación | Ref. TEC2008-06714-C02-02Ministerio de Ciencia e Innovación | Ref. CSD2008-00068Xunta de Galicia | Ref. INCITE08PXIB322250P

Skin-Effect Loss Models for Time- and Frequency-Domain PEEC Solver

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Calderón Preconditioned PMCHWT Equations for Analyzing Penetrable Objects in Layered Medium

published_or_final_versio

Different Approaches of Numerical Analysis of Electromagnetic Phenomena in Shaded Pole Motor with Application of Finite Elements Method

In this paper is used Finite Element Method-FEM for analysis of electromagnetic quantities of small micro motor – single phase shaded pole motor-SPSPM. FEM is widely used numerical method for solving nonlinear partial differential equations with variable coefficients. For that purpose motor model is developed with exact geometry and material’s characteristics. Two different approaches are applied in FEM analysis of electromagnetic phenomena inside the motor: magneto-static where all electromagnetic quantities are analysed in exact moment of time meaning frequency f=0 Hz and timeharmonic magnetic approach where the magnetic field inside the machine is time varying, meaning frequency f=50 Hz. Obtained results are presented and compared with available analytical result